Area

14 Grade 5 Mathematics questions on Area, with worked marking schemes. 14 questions are available on this topic in full.

1. Question 1

   1 mark

   Find the area of a triangle: base 8 cm, height 9 cm.

   A. 36 cm²

   B. 17 cm²

   C. 72 cm²

   D. 40 cm²

   (1 mark)

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2. Question 2

   1 mark

   A room is 6.5 m × 4 m. What is its area?

   A. 26 m²

   B. 24 m²

   C. 21 m²

   D. 28 m²

   (1 mark)

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3. Question 3

   1 mark

   Find the area of a square with side 9 cm.

   A. 81 cm²

   B. 36 cm²

   C. 18 cm²

   D. 72 cm²

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4. Question 4

   1 mark

   If the area of a rectangle is 45 cm² and its width is 5 cm, find its perimeter.

   A. 18 cm

   B. 36 cm

   C. 20 cm

   D. 28 cm

   (1 mark)

   Marking scheme

   D. $28$ cm — two steps: the length is $45÷5=9$ cm, then the perimeter is $2(9+5)=28$ cm. A gives $9+5+4$ and C is $2\times 10$; the perimeter needs both pairs of sides.

5. Question 5

   1 mark

   Find the area of a triangle with base 10 cm and height 6 cm.

   A. 60 cm²

   B. 16 cm²

   C. 30 cm

   D. 30 cm²

   (1 mark)

   Marking scheme

   D. $30$ cm${}^2$ — a triangle is half its surrounding rectangle, so area $=\frac{1}{2}\times \text{base}\times \text{height}=\frac{1}{2}\times 10\times 6$. A forgets the half.

6. Question 6

   1 mark

   A rectangle has area 72 cm² and length 9 cm. What is its width?

   A. 9 cm

   B. 8 cm

   C. 7 cm

   D. 6 cm

   (1 mark)

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7. Question 7

   1 mark

   An L-shaped figure can be split into two rectangles: 4×3 cm and 6×2 cm. What is the total area?

   A. 22 cm²

   B. 24 cm²

   C. 20 cm²

   D. 30 cm²

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8. Question 8

   1 mark

   A square has area 64 cm². What is the length of one side?

   A. 8 cm

   B. 32 cm

   C. 4 cm

   D. 16 cm

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9. Question 9

   2 marks

   A rectangular maize farm is $25$ m long and $16$ m wide. Find the area of the farm in square metres.

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10. Question 10

    1 mark

    How many square tiles of side 20 cm are needed to cover a floor 2 m × 3 m?

    A. 150

    B. 15

    C. 600

    D. 30

    (1 mark)

    Marking scheme

    A. $150$ — both measurements must be in the same unit. The floor is $200\times 300=60,000$ cm${}^2$ and each tile is $20\times 20=400$ cm${}^2$, so $60,000÷400=150$. D and B come from dividing lengths instead of areas.

11. Question 11

    1 mark

    Find the area of a rectangle: length 12 cm, width 7 cm.

    A. 76 cm²

    B. 84 cm

    C. 38 cm²

    D. 84 cm²

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12. Question 12

    1 mark

    A pathway 1 m wide surrounds a 8 m × 5 m garden. What is the area of the pathway?

    A. 40 m²

    B. 18 m²

    C. 30 m²

    D. 68 m²

    (1 mark)

    Marking scheme

    C. $30$ m${}^2$ — the pathway surrounds the garden, so it adds $1$ m at BOTH ends of each side: the outer rectangle is $(8+1+1)\times (5+1+1)=10\times 7=70$ m${}^2$. Taking the garden away leaves the pathway: $70-40=30$. The option $40$ is the garden itself rather than the path, and $68$ comes from adding the width only once.

13. Question 13

    1 mark

    A rectangular classroom floor is $12$ m long and $8$ m wide. What is its area?

    A. $20{\text{ m}}^2$

    B. $96{\text{ m}}^2$

    C. $48{\text{ m}}^2$

    D. $40{\text{ m}}^2$

    (1 mark)

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14. Question 14

    1 mark

    A garden is 15 m long and 8 m wide. What is its area?

    A. 120 m²

    B. 90 m²

    C. 23 m²

    D. 46 m²

    (1 mark)

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