11 exam-style question sets on Maps, plans & representations (Paper 2), each with a hint and a fully worked answer. The app holds 55 questions on this section in total, including variants of every set below, and lets you mark yourself part by part.
Practise this section in the app →
Question 1
A woodwork teacher gave his Grade 10 class the list below of the wood that is needed for a planter box. The side slats are fixed to the corner posts with a gap of 0,8 cm between one slat and the next.
WOOD NEEDED FOR ONE PLANTER BOX
| QTY | PIECE | MEASUREMENTS (in cm) |
|---|---|---|
| 4 | Corner posts | 4,4 × 4,4 × 40 |
| 12 | Side slats | 1,6 × 9,5 × 60 |
| 3 | Base boards | 1,6 × 14 × 56,8 |
| 2 | Carrying handles | 2,2 × 4,4 × 25 |
NOTE:
- For every piece, the smallest of the three measurements is the thickness of the wood.
- QTY = quantity (the number of pieces).
- aHow many wooden pieces, altogether, go into ONE planter box? (2)
- bHow many side slats must be cut for THREE planter boxes? (3)
- cWhich piece on the list is the longest? (2)
- dHow thick is the wood from which the base boards are cut? (2)
- eGive the gap between two side slats in millimetres. (2)
Hint
The QTY column tells you how many of each piece ONE planter box needs.
Worked answer
a) 4 + 12 + 3 + 2 ✓M = 21 pieces ✓A
b) One planter box needs 12 side slats ✓RT
Three need 12 × 3 ✓M = 36 ✓A
c) Side slats ✓✓RT (60 cm is the largest value in the measurements column)
d) 1,6 cm ✓✓RT — the note says that the thickness is the SMALLEST of the three measurements.
e) 0,8 cm × 10 ✓C = 8 mm ✓A
Modelled on Nov 2024 Paper 2, Question 1.3 — same skills, new scenario.
Question 2
A community food garden next to the Mooikloof River is divided into numbered plots. The site plan below shows the plots, and the table shows the number of gardeners who are allowed to work on each plot. Some plots are divided into beds, labelled A, B and C.
NUMBER OF GARDENERS ALLOWED
| PLOT | NUMBER OF GARDENERS |
|---|---|
| Plot 1 | 8 |
| Plot 2A | 12 |
| Plot 2B | 6 |
| Plot 3A | 10 |
| Plot 3B | 4 |
| Plot 3C | 4 |
| Plot 4 | 6 |
| Plot 5A | 14 |
| Plot 5B | 6 |
| Plot 6 | 4–6 |
| Plot 7 | 4–6 |
| Plot 8 | 18 |
NOTE: Where a range such as 4–6 is given, the first value is the minimum and the second value is the maximum number of gardeners.
- aIn your own words, say what the term site plan means. (2)
- bWhat is the largest number of gardeners that the whole garden can take at the same time? (3)
- cYou are standing at plot 6. In which general compass direction is the tool shed? (2)
- dThe notice board at the gate reads: 'This plot is on the western side of the garden, close to the river, and at most 18 gardeners may work on it at the same time.' Which plot is this? Give only its number. (2)
- eSix volunteers want to work together on ONE plot or bed, and the coordinator picks ONE row of the table at random. Calculate, as a percentage, the probability that a randomly selected row of the table has a MAXIMUM of exactly 6 gardeners. Round your answer to ONE decimal place. (3)
This question has a diagram, shown in the app.
Hint
North is at the top of the plan, so east is to the right — compare the positions of the two places.
Worked answer
a) A drawing that shows, from above, how a piece of land is laid out and where everything on it is ✓✓O.
b) Maximum = 8 + 12 + 6 + 10 + 4 + 4 + 6 + 14 + 6 + 6 + 6 + 18 ✓RT ✓M
= 100 gardeners ✓CA (use the LARGER value wherever a range is given)
c) North-east ✓✓A (N is at the top of the map; the tool shed lies to the north-east of plot 6).
d) Plot 8 ✓✓RM
e) Rows with a maximum of exactly 6: Plot 2B, Plot 4, Plot 5B, Plot 6, Plot 7 → 5 rows ✓RT
Total number of rows in the table = 12 ✓RT
P = × 100% = 41,7% ✓CA
Modelled on Nov 2024 Paper 2, Question 2.1.1–2.1.5 — same skills, new scenario.
Question 3
Palesa rents a shop in a shopping centre and runs a hair salon in it. The layout plan of the salon and its KEY are shown below.
In real life the salon is 9,6 m long on the inside. On a printed copy of the plan this length measures 11,7 cm.
- aUse the key and write down the number of wash basins in the salon. (2)
- bWork out the scale of the printed plan. Give it in the form 1 : …, with the second number rounded to the nearest whole number. (4)
- cThe waiting bench is close to the door and far away from the wash basins. Give ONE possible reason for this. (2)
This question has a diagram, shown in the app.
Hint
A scale compares a length on the plan with the SAME length in real life — both must be in the same unit before you divide.
Worked answer
a) 4 wash basins ✓✓RD
b) Actual length = 9,6 m × 100 = 960 cm ✓C
Scale = 11,7 cm : 960 cm ✓M
= 1 : 960 ÷ 11,7 ✓M
= 1 : 82,05…
≈ 1 : 82 ✓A
c) Customers who wait do not get splashed and are not in the way of the people who work at the basins ✓✓O (or: a customer who arrives can sit down without walking through the work area).
Modelled on Nov 2024 Paper 2, Question 2.1.6 — same skills, new scenario.
Question 4
The Bosberg Horse Trail is a guided two-day outride. It starts at S and finishes at F, and the riders and horses spend the night at camp C. The route map and the altitude profile of each day are shown below. The letters A to E show the places where the horses are rested and given water.
- aOn which day do the riders pass the waterfall? (2)
- bWhich ONE of the route sections below fits the following description? 'The horses first walk downhill into a valley and then climb out of it again.' - A S to A - B A to B - C B to C - D C to D (2)
- cWrite down the distance that has been covered on Day 1 when the highest point of that day is reached. (2)
- dThe guide's GPS shows that the group had its best average speed of the whole outride between the 2 km mark and the 5 km mark of Day 2. Use the profile to give ONE reason for this. (2)
- eA rider states: 'On Day 2 the finish is more than 250 m lower than the highest point of the day.' Show, by calculation, whether this statement is valid. (3)
Hint
Every resting place is marked with a letter on the profile — a section is the part of the graph between two letters.
Worked answer
a) Day 2 ✓✓RM
b) B (A to B) ✓✓RG — it is the only one of the four sections whose profile matches the description.
c) 10 km ✓✓RG (the highest point, 960 m, lies on the 10 km gridline)
d) This stretch is a gentle downhill all the way (the altitude drops from 920 m to 800 m), so the horses can keep up a faster pace than on a climb ✓✓O.
e) Highest point of Day 2 = 920 m and the end of Day 2 = 660 m ✓RG
Drop = 920 m − 660 m ✓M = 260 m
260 m is more than 250 m, so the statement is VALID ✓O
Modelled on Nov 2024 Paper 2, Question 2.2 — same skills, new scenario.
Question 5
The Mokoena family booked a 12-day self-drive safari in the Marula Game Reserve. The road map shows the rest camps, the distances between camps, and the three sections of the reserve (the broken lines are the section boundaries). The tables show where the family sleeps each night and the usual driving time along each road.
OVERNIGHT PLAN OF THE MOKOENA FAMILY
| DAY | OVERNIGHT CAMP |
|---|---|
| Day 1 | Kudu Camp |
| Day 2 | Kudu Camp |
| Day 3 | Leadwood Camp |
| Day 4 | Hippo Pools Camp |
| Day 5 | Baobab Camp |
| Day 6 | Baobab Camp |
| Day 7 | Mopani Camp |
| Day 8 | Mopani Camp |
| Day 9 | Sable Camp |
| Day 10 | Sable Camp |
| Day 11 | Fever Tree Camp |
| Day 12 | Kudu Camp |
USUAL DRIVING TIMES
| ROAD | DRIVING TIME |
|---|---|
| Doornhoek Gate – Kudu Camp | 1 h 05 min |
| Kudu Camp – Leadwood Camp | 1 h 20 min |
| Doornhoek Gate – Baobab Camp | 2 h 20 min |
| Kudu Camp – Hippo Pools Camp | 1 h 30 min |
| Baobab Camp – Hippo Pools Camp | 1 h 10 min |
| Hippo Pools Camp – Fever Tree Camp | 55 min |
| Fever Tree Camp – Sable Camp | 1 h 45 min |
| Sable Camp – Mopani Camp | 1 h 30 min |
| Mopani Camp – Baobab Camp | 2 h 00 min |
The distance from Baobab Camp to Fever Tree Camp, through Hippo Pools Camp, is 74 km.
You may use the following formula:
Average speed = distance ÷ time
- aName the TWO camps that are exactly 85 km apart. (2)
- bName the FOUR days that the family spends in the Northern section. (3)
- cDetermine the distance, in km, between Hippo Pools Camp and Fever Tree Camp. (3)
- dIn which section of the reserve does the family sleep on Day 5? (2)
- eCalculate, rounded to ONE decimal place, the average speed (in km/h) at which the family is expected to drive from Fever Tree Camp to Sable Camp. (4)
This question has a diagram, shown in the app.
Hint
Change the minutes to a fraction of an hour (minutes ÷ 60) before you divide the distance by the time.
Worked answer
a) Doornhoek Gate and Baobab Camp ✓✓RM
b) Day 7, Day 8, Day 9 and Day 10 ✓✓✓RT (the camps of these days lie in the Northern section on the map)
c) Hippo Pools Camp to Fever Tree Camp = 74 km − 41 km ✓RM ✓M
= 33 km ✓A
d) Central section ✓✓RM (Day 5: Baobab Camp, which lies in the Central section on the map)
e) Time = 1 h 45 min = 1 h + 45 ÷ 60 h ✓M
= 1,75 h ✓C
Average speed = 64 km ÷ 1,75 h ✓SF
= 36,6 km/h ✓A
Modelled on Nov 2024 Paper 2, Question 5.1 — same skills, new scenario.
Question 6
A gardening club makes cylindrical compost bins from wire mesh, as shown in the sketch. Each bin has a diameter of 0,9 m and a height of 1,35 m. The instructions for making a bin are given in the table below.
INSTRUCTIONS FOR MAKING A COMPOST BIN
| LETTER | INSTRUCTION |
|---|---|
| A | Fasten the two overlapping ends together with cable ties. |
| B | Measure the length of mesh that is needed and mark it on the roll. |
| C | Fill the bin with layers of garden waste. |
| D | Roll the cut piece of mesh into a cylinder. |
| E | Cut the mesh along the mark with wire cutters. |
| F | Stand the finished cylinder upright on level ground. |
- aThe six instructions in the table are NOT in the correct order. Write down the letters A to F in the order in which the instructions must be carried out. (6)
- bWhich ONE of the following formulae can be used to calculate the area of mesh that forms the curved side of the bin? - A Area = π × radius² - B Area = π × diameter × height - C Area = 2 × π × radius - D Area = length × width × height (2)
- cConvert the height of the bin (1,35 m) to millimetres. (2)
This question has a diagram, shown in the app.
Hint
You cannot roll the mesh before it has been cut, and you cannot cut it before it has been measured.
Worked answer
a) B → E → D → A → F → C ✓✓✓✓✓✓ (one mark for every letter in its correct position)
b) B ✓✓A — the curved surface of a cylinder = circumference (π × d) × height; A is the area of a circle and C is a circumference.
c) 1,35 m × 1 000 ✓C = 1 350 mm ✓A
Modelled on Nov 2025 Paper 2, Question 1.3 — same skills, new scenario.
Question 7
The seating plan of Coach C of a tourist train is shown below. The thick line on every seat shows its BACKREST, so a passenger faces away from the thick line. Seats at a table face each other.
NOTE: A seat number on a ticket consists of the coach letter followed by the number on the plan, e.g. C12.
- aDetermine the number of seats in Coach C on which a passenger faces FORWARD (in the direction of travel). (2)
- bA passenger who travels with a small child wants the seat from which the toilet is the easiest to reach. Write down the ticket number of this seat. (2)
- cComplete the paragraph below by choosing the correct word for each numbered gap from the WORD LIST. Write only the gap number and the word. WORD LIST: front; back; first; second; left; right; a window; an aisle Thandi has a ticket for seat C26. She boards through a door at the (1) _____ of the coach and walks towards the front. Her seat is in the (2) _____ row of seats that she reaches. As she faces the front, her seat is on the (3) _____ side of the aisle, and it is (4) _____ seat. (4)
This question has a diagram, shown in the app.
Hint
The front of the coach is at the TOP of the plan, so 'left' and 'right' are the same as on the page.
Worked answer
a) Total seats = 28; seats 1, 2, 15 and 16 face backwards ✓RD
Forward-facing seats = 28 − 4 = 24 ✓A
b) C3 ✓✓RD — seats 3 and 4 are directly behind the toilet, but seat 3 is on the aisle, so nobody has to climb over another passenger.
c) (1) back ✓A
(2) first ✓A
(3) left ✓A
(4) an aisle ✓A
Modelled on Nov 2025 Paper 2, Question 2.1 — same skills, new scenario.
Question 8
A shuttle bus drives a fixed round trip on a large university campus. The route map below shows the 12 stops in the order in which the shuttle reaches them; the arrows show the direction of travel.
On a printed copy of the map the bar scale is 2,5 cm long, and it represents an actual distance of 400 m.
- aWhich stop on the route lies the furthest EAST? (2)
- bWhat kind of scale is printed on this map? (2)
- cState whether the shuttle travels clockwise or anticlockwise around the campus. (2)
- dThe actual distance along the road between the Main gate and the Science block is 1,28 km. Calculate the distance, in cm, between these two stops on the printed map. (5)
This question has a diagram, shown in the app.
Hint
First find out how many metres ONE centimetre on the map stands for.
Worked answer
a) Sports centre (stop 5) ✓✓RM — it lies furthest to the right; with north at the top of the map, east is on the right.
b) A bar scale (also called a line scale or graphic scale) ✓✓A
c) Clockwise ✓✓A (follow the arrows from stop 1 to stop 2: the route turns to the right, like the hands of a clock)
d) Actual distance = 1,28 km × 1 000 = 1 280 m ✓C
2,5 cm on the map represents 400 m, so 1 cm represents 400 ÷ 2,5 ✓M = 160 m ✓A
Map distance = 1 280 m ÷ 160 m per cm ✓M
= 8,0 cm ✓CA
Modelled on Nov 2025 Paper 2, Question 2.2 — same skills, new scenario.
Question 9
Zanele moves to the USA for work. An agent sends her the plans of two flats in the same double-storey building: one on the ground floor and one directly above it on the first floor. The dimensions are given in feet and inches. An outside staircase leads to the first-floor flat.
NOTE: A dimension such as 9'4" is read as 9 feet and 4 inches. 1 foot = 30,48 cm and 1 inch = 2,54 cm
- aState whether the bathroom door of the ground-floor flat opens INTO the bathroom or OUT of the bathroom. (2)
- bLook at the two dimensions of BEDROOM 1. Write the LONGER one in centimetres. (5)
- cWrite down TWO differences between the plan of the ground-floor flat and the plan of the first-floor flat. (4)
- dOnly the first-floor flat has a balcony. Suggest ONE reason why no balcony was built for the ground-floor flat. (2)
- eThe west wall and the east wall of both flats have no windows. Give ONE possible reason for this. (2)
Hint
Feet and inches are converted separately and then added.
Worked answer
a) INTO the bathroom ✓✓RD (the quarter-circle on the plan shows the side to which the door swings)
b) The longer dimension is 12'0" ✓RD (compare 12'0" with 10'0")
Feet: 12 × 30,48 cm ✓M = 365,76 cm
Inches: 0 × 2,54 cm = 0 cm ✓M
Total = 365,76 cm ✓A ✓CA
c) Any TWO ✓✓ ✓✓:
- The first-floor flat has a balcony; the ground-floor flat does not.
- The ground-floor bathroom has a shower; the first-floor bathroom has a bath.
- The living room of the ground-floor flat has a window in its south wall; on the first floor there is a door to the balcony instead.
d) A balcony is a platform that sticks out from an UPPER floor; at ground level a person simply steps outside into the garden or onto a patio ✓✓O.
e) The staircase runs along the east wall, and the west wall is probably shared with (or very close to) the building next door, so windows there would give no light or privacy ✓✓O.
Modelled on Nov 2025 Paper 2, Question 2.3 — same skills, new scenario.
Question 10
Engineering students flew a solar-powered aircraft from A to E and tracked the flight with GPS. The road map below shows the towns, the national roads (numbers in the shields), the borders between three regions and the tracked flight path A–B–C–D–E. The arrows show the direction of the flight.
- aWhich town is the first one that you reach when you travel due EAST from Doringbult on the map? (2)
- bHow many national roads (different road numbers) can you count on this map? (2)
- cList EVERY town on the map that lies on the N22. (3)
- dWhat kind of line does this map use to show a border between two regions? (2)
This question has a diagram, shown in the app.
Hint
The number of a national road is printed in a shield ON the road — follow that road from end to end.
Worked answer
a) Rietpoort ✓✓RM (east is to the RIGHT of Doringbult when north is at the top)
b) 4 ✓✓RM (N21, N22, N23, N24)
c) Leeukop, Rietpoort and Uitsig ✓✓✓RM (one mark is lost for every town that is left out or added)
d) With broken lines (long and short dashes) ✓✓RM — the roads are drawn as solid lines.
Modelled on Nov 2025 Paper 2, Question 4.1 — same skills, new scenario.
Question 11
A carpenter makes wooden shoe racks. The front view below shows the heights of the four open spaces of a rack, and the cutting list shows the six kinds of pieces (lettered A to F) that are cut for ONE rack. The rack is 32 cm deep from front to back.
CUTTING LIST FOR ONE SHOE RACK
| PIECE | NUMBER NEEDED | LENGTH × WIDTH (in cm) | MATERIAL |
|---|---|---|---|
| A | 1 | 86 × 32 | Chipboard |
| B | 2 | 98 × 32 | Chipboard |
| C | 1 | 90 × 32 | Chipboard |
| D | 1 | 90 × 4 | Chipboard |
| E | 3 | 86 × 30 | Chipboard |
| F | 1 | 90 × 100 | Hardboard (3 mm) |
CONSTRUCTION NOTES
- The top lies ON the two sides; the bottom and the shelves fit BETWEEN the two sides.
- The shelves are set back a little from the front edge.
- The back panel is nailed onto the back and covers the WHOLE back of the unit.
- All the boards have the same thickness.
- aWrite down the letter of the piece on the cutting list that is used as a SHELF. (2)
- bWrite down the letter of the piece on the cutting list that is the BACK PANEL. (2)
- cAn item is placed in one of the 4 open spaces, chosen at random. Determine, as a fraction in simplified form, the probability that the space is higher than 23 cm. (2)
- dExplain why the back panel has to be exactly 90 cm by 100 cm. (2)
- eMake a scale drawing of the back panel. Use the scale 1 : 10 and write the calculated dimensions on your drawing. (On screen: calculate the two dimensions of your drawing and state them.) (6)
This question has a diagram, shown in the app.
Hint
Count the shelves in the front view and look for that number in the 'number needed' column.
Worked answer
a) E ✓✓RT (3 pieces of 86 × 30 cm: the front view shows 3 shelves, and a shelf is narrower than the bottom because it is set back from the front)
b) F ✓✓RT (the only piece of hardboard, 90 × 100 cm)
c) Spaces higher than 23 cm: 24 cm, 26 cm → 2 of the 4 spaces ✓RD
P = = ✓A
d) The back panel covers the WHOLE back: its width equals the full width of the unit (90 cm, which includes the thickness of both sides) ✓O and its height equals the full height (100 cm, which includes the top) ✓O.
e) Width on the drawing = 90 cm ÷ 10 ✓M = 9 cm ✓A
Height on the drawing = 100 cm ÷ 10 ✓M = 10 cm ✓A
A rectangle is drawn with these measurements ✓A and both dimensions are written on it ✓A (see the diagram below).
Modelled on Nov 2025 Paper 2, Question 5.1 — same skills, new scenario.