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2024 · november · Geography · Grade 11

Practice paper 4 — Grade 11 Geography (Easified, CAPS-aligned)

Notes

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150 min · 64 Marks · 20 questions

Learn the paper in the app: notes, a marks breakdown, the formula you need, and the board working. You do not need to download it.

Question breakdown

  1. 1 · 4 Marks · The atmosphere

    Geography Grade 11. Use this case. A July chart over Cape Town. A low sits south-west of the Cape. Winds circle it clockwise. The cold front is the line with triangles. Ahead of it, north-westerly cloud and rain. Behind it, cooler air and showers. The Namib, under sinking air near 30 degrees south, stays dry on the same day. One chart, two parts of the same cells: rising air and a front at the Cape, sinking air on the desert coast. In sentences, say what The atmosphere is doing here, from the situation to the result.

    layers

    Notes: The dry Namib and a Cape winter front are the two African cases of this one atmosphere.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A July chart over Cape Town. A low sits south-west of the Cape. Winds circle it clockwise. The cold front is the line with triangles. Ahead of it, north-westerly cloud and rain. Behind it, cooler air and showers. The Namib, under sinking air near 30 degrees south, stays dry on the same day. One chart, two parts of the same cells: rising air and a front at the Cape, sinking air on the desert coast. In sentences, say what The atmosphere is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    The atmosphere. Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

    2. What do we already know?

    The dry Namib and a Cape winter front are the two African cases of this one atmosphere.

    3. Which method — and why this one?

    The atmosphere. Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

    4. Step-by-step working

    1. 01 / 07

      What it is

      The global atmosphere moves as cells of rising and sinking air, and those cells make the winds and the rain belts.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. The Namib and the equator. Air rises over the hot Congo basin and rain is heavy. The same air sinks over the west coast of southern Africa, so the Namib stays dry even though the sea is next door. Sinking air does not favour rain. On a winter synoptic chart, a low and its cold front cross the Cape. Ahead of the front the wind and the cloud change. Behind it the air is cooler. The chart is the cells and the fronts, drawn for Wednesday, not a new kind of atmosphere.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    Copy onto your answer sheet — in this order

    Answer: Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to spin southern lows anticlockwise, the northern-hemisphere way, or to expect rain wherever there is a coast.

  2. 2 · 4 Marks · Geomorphology

    Geography Grade 11. Use this case. Waterfall, then meander. High on a Drakensberg stream the gradient is steep, the valley is narrow, and the water falls over a hard band. Far downstream the gradient is gentle, the river bends, and a meander can be cut off as an oxbow. The river did not “get tired”. The slope changed, so the work changed, from cutting down to swinging sideways. A label that says the waterfall is in the lower course has the profile backwards. In sentences, say what Geomorphology is doing here, from the situation to the result.

    plate

    Notes: Karoo koppies with a hard cap are the landform, in reach of a school outing from many towns.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. Waterfall, then meander. High on a Drakensberg stream the gradient is steep, the valley is narrow, and the water falls over a hard band. Far downstream the gradient is gentle, the river bends, and a meander can be cut off as an oxbow. The river did not “get tired”. The slope changed, so the work changed, from cutting down to swinging sideways. A label that says the waterfall is in the lower course has the profile backwards. In sentences, say what Geomorphology is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Geomorphology. Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

    2. What do we already know?

    Karoo koppies with a hard cap are the landform, in reach of a school outing from many towns.

    3. Which method — and why this one?

    Geomorphology. Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Grade 11 geomorphology is what happens to slopes and rocks after they exist: weathering, erosion, and the landforms that resistant rock leaves behind.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. The Valley of Desolation near Graaff-Reinet, or any dolerite-capped hill in the Karoo. The dark cap resists weathering. The softer rock beneath wears back. The cap is left standing as a mesa, then a butte. A river in flood does the carrying. A rock that cracks from heat and cold has only been weathered until water or gravity moves the pieces. Calling every hill a volcano misses the cap-rock story, which needs no eruption.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    Copy onto your answer sheet — in this order

    Answer: Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to use weathering and erosion as the same word, or to call every flat-topped hill a volcano.

  3. 3 · 4 Marks · Development geography

    Geography Grade 11. Use this case. Two municipalities, one GDP. National GDP per person can rise because mining profits are counted in Johannesburg, while a rural municipality in the same year still has a clinic an hour away and a school without a library. HDI for that municipality moves only when health and schooling move, not when the GDP headline moves. The core kept the profit. The periphery kept the queue. Using one number for both places is the mistake. In sentences, say what Development geography is doing here, from the situation to the result.

    ABN

    Notes: The gap between a city core and a rural municipality is South Africa’s own core and periphery.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. Two municipalities, one GDP. National GDP per person can rise because mining profits are counted in Johannesburg, while a rural municipality in the same year still has a clinic an hour away and a school without a library. HDI for that municipality moves only when health and schooling move, not when the GDP headline moves. The core kept the profit. The periphery kept the queue. Using one number for both places is the mistake. In sentences, say what Development geography is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Development geography. Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

    2. What do we already know?

    The gap between a city core and a rural municipality is South Africa’s own core and periphery.

    3. Which method — and why this one?

    Development geography. Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Development is how well people can live, not only how large the economy is. Indicators measure it, and they do not all agree.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. Two South African places. Sandton has offices, clinics and schools close together. A former homeland town may have a lower income, a longer trip to a hospital, and many people sending wages home. The national GDP looks healthier than the town feels, because GDP averages the Sandtons with the towns. HDI moves when a clinic and a school arrive, even if no new mine opens. Calling the whole of Africa “undeveloped” erases the Sandtons and the cities that function. The indicator you chose changes the sentence you are allowed to say.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    Copy onto your answer sheet — in this order

    Answer: Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to treat GDP as a measure of happiness, or to rank people by continent instead of by the indicator.

  4. 4 · 4 Marks · Resources and sustainability

    Geography Grade 11. Use this case. A borehole pumped dry. A borehole is renewable only if pumping stays below the recharge. A farmer runs the pump all day in October. By December the water level has fallen and a neighbour’s shallower hole fails. The rain that should have refilled the aquifer was less than the pump removed. More pumping is not the cure. A slower pump, or a crop that needs less, is. Coal does not refill on this clock at all. Groundwater can, and this farmer spent it faster than the refill. In sentences, say what Resources and sustainability is doing here, from the situation to the result.

    cycle

    Notes: Donga erosion in the Eastern Cape and a coal seam in Mpumalanga are the two resource clocks.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A borehole pumped dry. A borehole is renewable only if pumping stays below the recharge. A farmer runs the pump all day in October. By December the water level has fallen and a neighbour’s shallower hole fails. The rain that should have refilled the aquifer was less than the pump removed. More pumping is not the cure. A slower pump, or a crop that needs less, is. Coal does not refill on this clock at all. Groundwater can, and this farmer spent it faster than the refill. In sentences, say what Resources and sustainability is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Resources and sustainability. Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

    2. What do we already know?

    Donga erosion in the Eastern Cape and a coal seam in Mpumalanga are the two resource clocks.

    3. Which method — and why this one?

    Resources and sustainability. Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Resources are things people can use. They stay resources only while the stock, the soil and the water can recover.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. A hillside ploughed straight down the slope in a wet summer. Each furrow is a stream. Topsoil leaves for the river. Next year the same field feeds a weaker crop, so the farmer ploughs more land. That is a resource failing. Contour ploughing, cover crops and fewer animals on the veld slow the loss. Coal under the same district is a different case: once burnt, that seam is gone, so the question is what the income is used for, not how to grow the coal back. Sunlight on a roof does not have that limit. The theory is the refill time.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    Copy onto your answer sheet — in this order

    Answer: Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to call coal renewable because “the ground is still there”, or to treat soil as indestructible.

  5. 5 · 4 Marks · Mapwork

    Geography Grade 11. Use this case. Can the two beacons see each other?. Beacon A is at 1 240 m. Beacon B is at 1 180 m. A spot height between them reads 1 310 m. The line of sight from A to B hits that ridge, so they are not intervisible. The map distance is 3 cm on a 1:50 000 sheet, which is 1.5 km, or 1 500 m. The drop from A to B is 60 m. Gradient is 601 500 = 1 in 25, if you remember to convert centimetres before you divide. Leave them as 3 cm and the gradient is nonsense. In sentences, say what Mapwork is doing here, from the situation to the result.

    ABN

    Notes: Any South African topographic sheet with a koppie between two farms is the exercise.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. Can the two beacons see each other?. Beacon A is at 1 240 m. Beacon B is at 1 180 m. A spot height between them reads 1 310 m. The line of sight from A to B hits that ridge, so they are not intervisible. The map distance is 3 cm on a 1:50 000 sheet, which is 1.5 km, or 1 500 m. The drop from A to B is 60 m. Gradient is 601 500 = 1 in 25, if you remember to convert centimetres before you divide. Leave them as 3 cm and the gradient is nonsense. In sentences, say what Mapwork is doing here, from the situation to the result.

    Before any working — hunt first

    Given

    Numbers and units already in the sentence: 11 · 1 · 240 m · 1 · 180 m · 1 · 310 m · 3 cm · 1 · 50 · 000 sheet · 1.5 km · 1 · 500 m · 60 m · 60 / · 1 · 500 · 1 in · 25 · 3 cm. Copy each one into a column. A name without a number is not given.

    Missing

    After you copy the given, the letter that still has no number is missing. The paper is pointing at: which is 1. Circle that word — that is the missing variable.

    Find

    We are required to find: which is 1. Write that as a symbol on the left, with a question mark, before you touch a formula.

    Calculate

    What we need to calculate: Mapwork. Then substitute the given, one line at a time, to get which is 1.

    In other words — as if you have never seen this before

    Mapwork. A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

    2. What do we already know?

    Any South African topographic sheet with a koppie between two farms is the exercise.

    3. Which method — and why this one?

    Mapwork. A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Grade 11 mapwork adds the side view and the line of sight to the map you already know how to read.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. Two towers on a 1:50 000 sheet, with a ridge between them. The map distance is 4 cm, which is 2 km on the ground. The ridge is higher than both towers. The line of sight hits the ridge, so the towers cannot see each other, even though both are “on the map”. A cross-section makes that obvious in side view. If you forget to convert 4 cm with the scale, the gradient comes out as a cliff or as a pancake. The drawing is the test of whether the numbers mean a real hill.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    Copy onto your answer sheet — in this order

    Answer: Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to leave centimetres and metres mixed in one gradient, or to claim two points are visible because no building is drawn between them.

  6. 6 · 8 Marks · The atmosphere

    Geography Grade 11. Use this case. A berg wind at the coast. Air descends off the escarpment toward the coast, warms as it sinks, and arrives hot and dry. Relative humidity crashes. A fire that would have crept in moist air runs. This is not a cold front. A cold front brings cloud and a wind change from the north-west, then cooler air. The berg wind is the descending air. A forecast that says “it will be hot so a storm is coming” has mixed the berg wind up with convection. In sentences, say what The atmosphere is doing here, from the situation to the result.

    layers

    Notes: The dry Namib and a Cape winter front are the two African cases of this one atmosphere.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A berg wind at the coast. Air descends off the escarpment toward the coast, warms as it sinks, and arrives hot and dry. Relative humidity crashes. A fire that would have crept in moist air runs. This is not a cold front. A cold front brings cloud and a wind change from the north-west, then cooler air. The berg wind is the descending air. A forecast that says “it will be hot so a storm is coming” has mixed the berg wind up with convection. In sentences, say what The atmosphere is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    The atmosphere. Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

    2. What do we already know?

    The dry Namib and a Cape winter front are the two African cases of this one atmosphere.

    3. Which method — and why this one?

    The atmosphere. Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

    4. Step-by-step working

    1. 01 / 07

      What it is

      The global atmosphere moves as cells of rising and sinking air, and those cells make the winds and the rain belts.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. The Namib and the equator. Air rises over the hot Congo basin and rain is heavy. The same air sinks over the west coast of southern Africa, so the Namib stays dry even though the sea is next door. Sinking air does not favour rain. On a winter synoptic chart, a low and its cold front cross the Cape. Ahead of the front the wind and the cloud change. Behind it the air is cooler. The chart is the cells and the fronts, drawn for Wednesday, not a new kind of atmosphere.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    Copy onto your answer sheet — in this order

    Answer: Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to spin southern lows anticlockwise, the northern-hemisphere way, or to expect rain wherever there is a coast.

  7. 7 · 4 Marks · Geomorphology

    Geography Grade 11. Use this case. Valley of Desolation. At Graaff-Reinet the dolerite cap is harder than the rock under it. The softer rock weathers and falls. The cap remains, so the columns stand. Weathering broke the pieces in place. A rockfall moved them. That second step is erosion, or mass movement, not more weathering. A flat top here is a mesa in the making, not a volcano. Nothing erupted. The cap simply lasted. In sentences, say what Geomorphology is doing here, from the situation to the result.

    plate

    Notes: Karoo koppies with a hard cap are the landform, in reach of a school outing from many towns.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. Valley of Desolation. At Graaff-Reinet the dolerite cap is harder than the rock under it. The softer rock weathers and falls. The cap remains, so the columns stand. Weathering broke the pieces in place. A rockfall moved them. That second step is erosion, or mass movement, not more weathering. A flat top here is a mesa in the making, not a volcano. Nothing erupted. The cap simply lasted. In sentences, say what Geomorphology is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Geomorphology. Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

    2. What do we already know?

    Karoo koppies with a hard cap are the landform, in reach of a school outing from many towns.

    3. Which method — and why this one?

    Geomorphology. Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Grade 11 geomorphology is what happens to slopes and rocks after they exist: weathering, erosion, and the landforms that resistant rock leaves behind.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. The Valley of Desolation near Graaff-Reinet, or any dolerite-capped hill in the Karoo. The dark cap resists weathering. The softer rock beneath wears back. The cap is left standing as a mesa, then a butte. A river in flood does the carrying. A rock that cracks from heat and cold has only been weathered until water or gravity moves the pieces. Calling every hill a volcano misses the cap-rock story, which needs no eruption.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    Copy onto your answer sheet — in this order

    Answer: Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to use weathering and erosion as the same word, or to call every flat-topped hill a volcano.

  8. 8 · 4 Marks · Development geography

    Geography Grade 11. Use this case. A tap at the end of the street. A national income figure can rise in a year when a street in an informal settlement still shares one tap. The income is an average, pulled up by high earners. The tap is a development fact: health and time. South Africa is one of the most unequal countries, so the average and the tap often disagree. Using only the income number to say the street “developed” this year skips the queue at the tap. In sentences, say what Development geography is doing here, from the situation to the result.

    ABN

    Notes: The gap between a city core and a rural municipality is South Africa’s own core and periphery.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A tap at the end of the street. A national income figure can rise in a year when a street in an informal settlement still shares one tap. The income is an average, pulled up by high earners. The tap is a development fact: health and time. South Africa is one of the most unequal countries, so the average and the tap often disagree. Using only the income number to say the street “developed” this year skips the queue at the tap. In sentences, say what Development geography is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Development geography. Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

    2. What do we already know?

    The gap between a city core and a rural municipality is South Africa’s own core and periphery.

    3. Which method — and why this one?

    Development geography. Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Development is how well people can live, not only how large the economy is. Indicators measure it, and they do not all agree.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. Two South African places. Sandton has offices, clinics and schools close together. A former homeland town may have a lower income, a longer trip to a hospital, and many people sending wages home. The national GDP looks healthier than the town feels, because GDP averages the Sandtons with the towns. HDI moves when a clinic and a school arrive, even if no new mine opens. Calling the whole of Africa “undeveloped” erases the Sandtons and the cities that function. The indicator you chose changes the sentence you are allowed to say.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    Copy onto your answer sheet — in this order

    Answer: Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to treat GDP as a measure of happiness, or to rank people by continent instead of by the indicator.

  9. 9 · 4 Marks · Resources and sustainability

    Geography Grade 11. Use this case. A hectare of maize and a tonne of coal. Lose 2 cm of topsoil off a hectare in one storm and that soil took centuries to form. Contour banks and a cover crop are what make the soil renewable. Burn a tonne of coal at a power station and that tonne does not form again on any timetable a farmer can use. The ash is not new coal. Sunlight on a panel beside the station is the renewable one of the three. The theory is the refill time of each. In sentences, say what Resources and sustainability is doing here, from the situation to the result.

    cycle

    Notes: Donga erosion in the Eastern Cape and a coal seam in Mpumalanga are the two resource clocks.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A hectare of maize and a tonne of coal. Lose 2 cm of topsoil off a hectare in one storm and that soil took centuries to form. Contour banks and a cover crop are what make the soil renewable. Burn a tonne of coal at a power station and that tonne does not form again on any timetable a farmer can use. The ash is not new coal. Sunlight on a panel beside the station is the renewable one of the three. The theory is the refill time of each. In sentences, say what Resources and sustainability is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Resources and sustainability. Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

    2. What do we already know?

    Donga erosion in the Eastern Cape and a coal seam in Mpumalanga are the two resource clocks.

    3. Which method — and why this one?

    Resources and sustainability. Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Resources are things people can use. They stay resources only while the stock, the soil and the water can recover.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. A hillside ploughed straight down the slope in a wet summer. Each furrow is a stream. Topsoil leaves for the river. Next year the same field feeds a weaker crop, so the farmer ploughs more land. That is a resource failing. Contour ploughing, cover crops and fewer animals on the veld slow the loss. Coal under the same district is a different case: once burnt, that seam is gone, so the question is what the income is used for, not how to grow the coal back. Sunlight on a roof does not have that limit. The theory is the refill time.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    Copy onto your answer sheet — in this order

    Answer: Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to call coal renewable because “the ground is still there”, or to treat soil as indestructible.

  10. 10 · 4 Marks · Mapwork

    Geography Grade 11. Use this case. A square of map is a square kilometre. On a 1:50 000 sheet, 2 cm on the map is 1 km on the ground, because 2 times 50 000 cm is 1 km. A square 2 cm by 2 cm is therefore 1 km by 1 km, which is 1 km squared, not 4 km squared and not 2 cm squared. Count four such squares in a plantation and the area is 4 km squared. Leaving the lengths in centimetres and then squaring them is how a wood the size of a field becomes a dot, or a province. In sentences, say what Mapwork is doing here, from the situation to the result.

    ABN

    Notes: Any South African topographic sheet with a koppie between two farms is the exercise.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Geography Grade 11. Use this case. A square of map is a square kilometre. On a 1:50 000 sheet, 2 cm on the map is 1 km on the ground, because 2 times 50 000 cm is 1 km. A square 2 cm by 2 cm is therefore 1 km by 1 km, which is 1 km squared, not 4 km squared and not 2 cm squared. Count four such squares in a plantation and the area is 4 km squared. Leaving the lengths in centimetres and then squaring them is how a wood the size of a field becomes a dot, or a province. In sentences, say what Mapwork is doing here, from the situation to the result.

    In other words — as if you have never seen this before

    Mapwork. A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

    2. What do we already know?

    Any South African topographic sheet with a koppie between two farms is the exercise.

    3. Which method — and why this one?

    Mapwork. A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

    4. Step-by-step working

    1. 01 / 07

      What it is

      Grade 11 mapwork adds the side view and the line of sight to the map you already know how to read.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    2. 02 / 07

      How it works

      A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    3. 03 / 07

      Worked theory

      Worked theory. Two towers on a 1:50 000 sheet, with a ridge between them. The map distance is 4 cm, which is 2 km on the ground. The ridge is higher than both towers. The line of sight hits the ridge, so the towers cannot see each other, even though both are “on the map”. A cross-section makes that obvious in side view. If you forget to convert 4 cm with the scale, the gradient comes out as a cliff or as a pancake. The drawing is the test of whether the numbers mean a real hill.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    4. 04 / 07

      Say it back

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    Copy onto your answer sheet — in this order

    Answer: Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    6. Check it like a marker

    The answer names the situation, what changed, and the result. It does not stop at a heading.

    7. A trap first-timers fall into

    A common mix-up is to leave centimetres and metres mixed in one gradient, or to claim two points are visible because no building is drawn between them.

  11. 11 · 2 Marks · Development geography

    What is the answer to keep for Development geography?

    ABN

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: What is the answer to keep for Development geography?

    In other words — as if you have never seen this before

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    2. What do we already know?

    Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

    3. Which method — and why this one?

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    Copy onto your answer sheet — in this order

    Answer: Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  12. 12 · 2 Marks · Geomorphology

    What is the answer to keep for Geomorphology?

    plate

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: What is the answer to keep for Geomorphology?

    In other words — as if you have never seen this before

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    2. What do we already know?

    Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

    3. Which method — and why this one?

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    Copy onto your answer sheet — in this order

    Answer: Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  13. 13 · 2 Marks · The atmosphere

    What is the answer to keep for The atmosphere?

    layers

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: What is the answer to keep for The atmosphere?

    In other words — as if you have never seen this before

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    2. What do we already know?

    Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

    3. Which method — and why this one?

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    Copy onto your answer sheet — in this order

    Answer: Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  14. 14 · 2 Marks · Resources and sustainability

    Worked theory. A hillside ploughed straight down the slope in a wet summer. Each furrow is a stream. Topsoil leaves for the river. Next year the same field feeds a weaker crop, so the farmer ploughs more land. That is a resource failing. Contour ploughing, cover crops and fewer animals on the veld slow the loss. Coal under the same district is a different case: once burnt, that seam is gone, so the question is what the income is used for, not how to grow the coal back. Sunlight on a roof does not have that limit. The theory is the refill time. What does this case show about Resources and sustainability?

    cycle

    Notes: Resources are things people can use. They stay resources only while the stock, the soil and the water can recover.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Worked theory. A hillside ploughed straight down the slope in a wet summer. Each furrow is a stream. Topsoil leaves for the river. Next year the same field feeds a weaker crop, so the farmer ploughs more land. That is a resource failing. Contour ploughing, cover crops and fewer animals on the veld slow the loss. Coal under the same district is a different case: once burnt, that seam is gone, so the question is what the income is used for, not how to grow the coal back. Sunlight on a roof does not have that limit. The theory is the refill time. What does this case show about Resources and sustainability?

    In other words — as if you have never seen this before

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    2. What do we already know?

    Resources are things people can use. They stay resources only while the stock, the soil and the water can recover.

    3. Which method — and why this one?

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Resources are things people can use. They stay resources only while the stock, the soil and the water can recover.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Renewable resources, such as sunlight, wind and, if managed, forests and fisheries, refill. Non-renewable resources, such as coal and oil, do not refill on a human timescale. Soil is renewable only if erosion is slower than soil formation. Overstocking, ploughing down the slope and cutting all the trees make soil a wasting resource. Sustainability means using a resource so that people next decade still have it.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    Copy onto your answer sheet — in this order

    Answer: Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  15. 15 · 2 Marks · The atmosphere

    Worked theory. The Namib and the equator. Air rises over the hot Congo basin and rain is heavy. The same air sinks over the west coast of southern Africa, so the Namib stays dry even though the sea is next door. Sinking air does not favour rain. On a winter synoptic chart, a low and its cold front cross the Cape. Ahead of the front the wind and the cloud change. Behind it the air is cooler. The chart is the cells and the fronts, drawn for Wednesday, not a new kind of atmosphere. What does this case show about The atmosphere?

    layers

    Notes: The global atmosphere moves as cells of rising and sinking air, and those cells make the winds and the rain belts.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Worked theory. The Namib and the equator. Air rises over the hot Congo basin and rain is heavy. The same air sinks over the west coast of southern Africa, so the Namib stays dry even though the sea is next door. Sinking air does not favour rain. On a winter synoptic chart, a low and its cold front cross the Cape. Ahead of the front the wind and the cloud change. Behind it the air is cooler. The chart is the cells and the fronts, drawn for Wednesday, not a new kind of atmosphere. What does this case show about The atmosphere?

    In other words — as if you have never seen this before

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    2. What do we already know?

    The global atmosphere moves as cells of rising and sinking air, and those cells make the winds and the rain belts.

    3. Which method — and why this one?

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      The global atmosphere moves as cells of rising and sinking air, and those cells make the winds and the rain belts.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Warm air rises at the equator, travels poleward high up, sinks around 30 degrees, and returns as trade winds. That is the Hadley cell. Similar cells sit in the mid-latitudes and at the poles. Where air rises, rain is common. Where it sinks, deserts are common. The spinning Earth bends the winds. A synoptic chart draws the result for one day: highs, lows, and the fronts between warm and cold air. In the southern hemisphere, air circles clockwise into a low.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    Copy onto your answer sheet — in this order

    Answer: Rising air brings rain. Sinking air brings deserts. The Hadley cell links the equator to the 30-degree deserts. Southern-hemisphere lows spin clockwise.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  16. 16 · 2 Marks · Mapwork

    What is the answer to keep for Mapwork?

    ABN

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: What is the answer to keep for Mapwork?

    Before any working — hunt first

    Given

    Numbers and units already in the sentence: no numbers yet — only a name, a diagram, or a worded unknown. Copy each one into a column. A name without a number is not given.

    Missing

    After you copy the given, the letter that still has no number is missing. The paper is pointing at: What is the answer to keep for Mapwork. Circle that word — that is the missing variable.

    Find

    We are required to find: What is the answer to keep for Mapwork. Write that as a symbol on the left, with a question mark, before you touch a formula.

    Calculate

    What we need to calculate: Cross-section shows the side view. Then substitute the given, one line at a time, to get What is the answer to keep for Mapwork.

    In other words — as if you have never seen this before

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    2. What do we already know?

    Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

    3. Which method — and why this one?

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    4. Step-by-step working

    1. 01 / 08

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 08

      Step A2 — Hunt: Given, Missing, Find, Calculate

      Given: Numbers and units already in the sentence: no numbers yet — only a name, a diagram, or a worded unknown. Copy each one into a column. A name without a number is not given. Missing: After you copy the given, the letter that still has no number is missing. The paper is pointing at: What is the answer to keep for Mapwork. Circle that word — that is the missing variable. Find: We are required to find: What is the answer to keep for Mapwork. Write that as a symbol on the left, with a question mark, before you touch a formula. Calculate: What we need to calculate: Cross-section shows the side view. Then substitute the given, one line at a time, to get What is the answer to keep for Mapwork.

      Why this step: Do not name the letters yet. First hunt: what already has a number (Given), what has no number (Missing), the word the paper wants (Find), and which formula still contains the missing letter (Calculate).

    3. 03 / 08

      Step B — Write the given in a column

      Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    4. 04 / 08

      Step C — Name the method in words

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    5. 05 / 08

      Working

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    6. 06 / 08

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    7. 07 / 08

      Step F — Box the answer with its unit

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    8. 08 / 08

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    Copy onto your answer sheet — in this order

    Answer: Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  17. 17 · 2 Marks · Resources and sustainability

    What is the answer to keep for Resources and sustainability?

    cycle

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: What is the answer to keep for Resources and sustainability?

    In other words — as if you have never seen this before

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    2. What do we already know?

    Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

    3. Which method — and why this one?

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Copy these onto the left of your page, one per line, with units: every number and its unit in the sentence. Mixing cm with m, or minutes with seconds, loses a method mark.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    Copy onto your answer sheet — in this order

    Answer: Renewable means it can recover. Non-renewable means it cannot, on our timescale. Soil is renewable only if erosion is held down.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  18. 18 · 2 Marks · Development geography

    Worked theory. Two South African places. Sandton has offices, clinics and schools close together. A former homeland town may have a lower income, a longer trip to a hospital, and many people sending wages home. The national GDP looks healthier than the town feels, because GDP averages the Sandtons with the towns. HDI moves when a clinic and a school arrive, even if no new mine opens. Calling the whole of Africa “undeveloped” erases the Sandtons and the cities that function. The indicator you chose changes the sentence you are allowed to say. What does this case show about Development geography?

    ABN

    Notes: Development is how well people can live, not only how large the economy is. Indicators measure it, and they do not all agree.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Worked theory. Two South African places. Sandton has offices, clinics and schools close together. A former homeland town may have a lower income, a longer trip to a hospital, and many people sending wages home. The national GDP looks healthier than the town feels, because GDP averages the Sandtons with the towns. HDI moves when a clinic and a school arrive, even if no new mine opens. Calling the whole of Africa “undeveloped” erases the Sandtons and the cities that function. The indicator you chose changes the sentence you are allowed to say. What does this case show about Development geography?

    In other words — as if you have never seen this before

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    2. What do we already know?

    Development is how well people can live, not only how large the economy is. Indicators measure it, and they do not all agree.

    3. Which method — and why this one?

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    4. Step-by-step working

    1. 01 / 07

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 07

      Step B — Write the given in a column

      Development is how well people can live, not only how large the economy is. Indicators measure it, and they do not all agree.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    3. 03 / 07

      Step C — Name the method in words

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    4. 04 / 07

      Working

      Income per person is one indicator. The Human Development Index adds health and schooling. A country can be rich in minerals and still unequal. Developed and developing are rough labels for that mix of income, health and education. The core-and-periphery idea says investment and skilled work gather in a few places, while other places supply labour and raw materials. Development is a pattern, not a prize given to a continent.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    5. 05 / 07

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    6. 06 / 07

      Step F — Box the answer with its unit

      Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    7. 07 / 07

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    Copy onto your answer sheet — in this order

    Answer: Development is income plus health plus education. GDP alone hides inequality. Core regions concentrate wealth. Peripheries supply them.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  19. 19 · 2 Marks · Geomorphology

    Worked theory. The Valley of Desolation near Graaff-Reinet, or any dolerite-capped hill in the Karoo. The dark cap resists weathering. The softer rock beneath wears back. The cap is left standing as a mesa, then a butte. A river in flood does the carrying. A rock that cracks from heat and cold has only been weathered until water or gravity moves the pieces. Calling every hill a volcano misses the cap-rock story, which needs no eruption. What does this case show about Geomorphology?

    plate

    Notes: Grade 11 geomorphology is what happens to slopes and rocks after they exist: weathering, erosion, and the landforms that resistant rock leaves behind.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Worked theory. The Valley of Desolation near Graaff-Reinet, or any dolerite-capped hill in the Karoo. The dark cap resists weathering. The softer rock beneath wears back. The cap is left standing as a mesa, then a butte. A river in flood does the carrying. A rock that cracks from heat and cold has only been weathered until water or gravity moves the pieces. Calling every hill a volcano misses the cap-rock story, which needs no eruption. What does this case show about Geomorphology?

    Before any working — hunt first

    Given

    Numbers and units already in the sentence: no numbers yet — only a name, a diagram, or a worded unknown. Copy each one into a column. A name without a number is not given.

    Missing

    After you copy the given, the letter that still has no number is missing. The paper is pointing at: which needs no eruption. Circle that word — that is the missing variable.

    Find

    We are required to find: which needs no eruption. Write that as a symbol on the left, with a question mark, before you touch a formula.

    Calculate

    What we need to calculate: Weathering breaks rock in place. Then substitute the given, one line at a time, to get which needs no eruption.

    In other words — as if you have never seen this before

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    2. What do we already know?

    Grade 11 geomorphology is what happens to slopes and rocks after they exist: weathering, erosion, and the landforms that resistant rock leaves behind.

    3. Which method — and why this one?

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    4. Step-by-step working

    1. 01 / 08

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 08

      Step A2 — Hunt: Given, Missing, Find, Calculate

      Given: Numbers and units already in the sentence: no numbers yet — only a name, a diagram, or a worded unknown. Copy each one into a column. A name without a number is not given. Missing: After you copy the given, the letter that still has no number is missing. The paper is pointing at: which needs no eruption. Circle that word — that is the missing variable. Find: We are required to find: which needs no eruption. Write that as a symbol on the left, with a question mark, before you touch a formula. Calculate: What we need to calculate: Weathering breaks rock in place. Then substitute the given, one line at a time, to get which needs no eruption.

      Why this step: Do not name the letters yet. First hunt: what already has a number (Given), what has no number (Missing), the word the paper wants (Find), and which formula still contains the missing letter (Calculate).

    3. 03 / 08

      Step B — Write the given in a column

      Grade 11 geomorphology is what happens to slopes and rocks after they exist: weathering, erosion, and the landforms that resistant rock leaves behind.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    4. 04 / 08

      Step C — Name the method in words

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    5. 05 / 08

      Working

      Weathering breaks rock in place. Erosion carries the pieces away. Mass movement is the slide or creep of soil down a slope under gravity. A mesa is a flat-topped hill with a resistant cap. A butte is the smaller remnant. A canyon is a river cut deep. Hard rock stands out. Soft rock wears away. Slope shape tells you whether the slope is retreating or wearing down.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    6. 06 / 08

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    7. 07 / 08

      Step F — Box the answer with its unit

      Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    8. 08 / 08

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    Copy onto your answer sheet — in this order

    Answer: Weathering breaks rock in place. Erosion moves it. Mesas and buttes are resistant caps left behind. Slope shape is a process, not a label.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

  20. 20 · 2 Marks · Mapwork

    Worked theory. Two towers on a 1:50 000 sheet, with a ridge between them. The map distance is 4 cm, which is 2 km on the ground. The ridge is higher than both towers. The line of sight hits the ridge, so the towers cannot see each other, even though both are “on the map”. A cross-section makes that obvious in side view. If you forget to convert 4 cm with the scale, the gradient comes out as a cliff or as a pancake. The drawing is the test of whether the numbers mean a real hill. What does this case show about Mapwork?

    ABN

    Notes: Grade 11 mapwork adds the side view and the line of sight to the map you already know how to read.

    How we got there

    Read this like a teacher at the board. We go slowly, name every number, and say why we take each step.

    Explain in another language · 11

    1. What is the question asking?

    Read the question twice. Circle the unknown. Underline every number and unit. The paper is asking: Worked theory. Two towers on a 1:50 000 sheet, with a ridge between them. The map distance is 4 cm, which is 2 km on the ground. The ridge is higher than both towers. The line of sight hits the ridge, so the towers cannot see each other, even though both are “on the map”. A cross-section makes that obvious in side view. If you forget to convert 4 cm with the scale, the gradient comes out as a cliff or as a pancake. The drawing is the test of whether the numbers mean a real hill. What does this case show about Mapwork?

    Before any working — hunt first

    Given

    Numbers and units already in the sentence: 1 · 50 · 000 sheet · 4 cm · 2 km · 4 cm. Copy each one into a column. A name without a number is not given.

    Missing

    After you copy the given, the letter that still has no number is missing. The paper is pointing at: which is 2 km on the ground. Circle that word — that is the missing variable.

    Find

    We are required to find: which is 2 km on the ground. Write that as a symbol on the left, with a question mark, before you touch a formula.

    Calculate

    What we need to calculate: Cross-section shows the side view. Then substitute the given, one line at a time, to get which is 2 km on the ground.

    In other words — as if you have never seen this before

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    2. What do we already know?

    Grade 11 mapwork adds the side view and the line of sight to the map you already know how to read.

    3. Which method — and why this one?

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    4. Step-by-step working

    1. 01 / 08

      Step A — Read the question twice

      Slow down. Circle the word that names the unknown. Underline every number and its unit. Do not grab a formula yet — first decide what the paper is actually asking.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    2. 02 / 08

      Step A2 — Hunt: Given, Missing, Find, Calculate

      Given: Numbers and units already in the sentence: 1 · 50 · 000 sheet · 4 cm · 2 km · 4 cm. Copy each one into a column. A name without a number is not given. Missing: After you copy the given, the letter that still has no number is missing. The paper is pointing at: which is 2 km on the ground. Circle that word — that is the missing variable. Find: We are required to find: which is 2 km on the ground. Write that as a symbol on the left, with a question mark, before you touch a formula. Calculate: What we need to calculate: Cross-section shows the side view. Then substitute the given, one line at a time, to get which is 2 km on the ground.

      Why this step: Do not name the letters yet. First hunt: what already has a number (Given), what has no number (Missing), the word the paper wants (Find), and which formula still contains the missing letter (Calculate).

    3. 03 / 08

      Step B — Write the given in a column

      Grade 11 mapwork adds the side view and the line of sight to the map you already know how to read.

      Why this step: A column with units stops you mixing cm with m, or minutes with seconds. Markers can also see you started correctly.

    4. 04 / 08

      Step C — Name the method in words

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: If you can say the method in a sentence, you will pick the right formula. First-timers skip this and grab the first equation they remember.

    5. 05 / 08

      Working

      A cross-section is the side view along a line you choose on the contour map. You transfer each contour height onto a graph and join the heights. Gradient is the steepness: vertical difference divided by horizontal distance. Intervisibility asks whether one point can see another. If a hill rises above the straight line of sight, the view is blocked. Vertical exaggeration on the cross-section makes slopes look steeper than they are, so you say what exaggeration you used.

      Why this step: We only do one job per line so a marker can follow the marks — and so you can find a slip without starting over.

    6. 06 / 08

      Step G — Sense-check the size

      Ask: is this the kind of number a Grade 10–12 paper would want? A speed of 3 000 ms for a learner walking, or a probability bigger than 1, means a unit or algebra slip. Estimate first: round the numbers and do the sum in your head.

      Why this step: Markers write ‘unrealistic’ in the margin when the method is right but the size is wild. A 10-second head check often finds a missing 10² or a unit that never changed.

    7. 07 / 08

      Step F — Box the answer with its unit

      Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

      Why this step: A number without a unit is half a mark on a Physics paper, and a marker can miss a Maths answer that is buried in working.

    8. 08 / 08

      Step H — What the marker is looking for

      On an NSC memo you usually earn: (1) a method mark for naming the right formula or idea in words, (2) an accuracy mark for substituting the given numbers with units, (3) an accuracy mark for the boxed answer with its unit. Write those three lines even if you are unsure of the arithmetic — blank pages score zero.

      Why this step: First-timers chase the final number and leave the method blank. The memo still pays out for the idea and the substitution even when the last line is wrong.

    5. The answer

    Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    Copy onto your answer sheet — in this order

    Answer: Cross-section shows the side view. Gradient is rise over run, in the same units. A ridge above the line of sight blocks the view.

    6. Check it like a marker

    Does your answer appear as one of the options? Do the units match what was asked (m, N, J, °)? If you put the number back into the original equation, does it still hold? Estimate: is the size sensible?

    7. A trap first-timers fall into

    First-timers often grab the first formula they remember, mix units (cm with m, minutes with seconds), or drop a minus sign. Write the formula in words first: “this equals that, because…”

Ntsako · fx-991ZA PLUS. Tap to calculate.