Math 7 · Unit 15: Shapes, area and volume · Cambridge Lower Secondary Maths Stage 7

Questions

1. 1. Question 1a: a rectangle is 3 cm by 2 cm, and a triangle is half of it. Find the areas of the rectangle and the triangle.

   • 5 cm² and 2.5 cm²
   • 6 cm² and 12 cm²
   • 6 cm² and 6 cm²
   • 6 cm² and 3 cm²
   Check

2. 2. Question 1b: a rectangle is 4 cm by 3 cm, and a triangle is half of it. Find the areas of the rectangle and the triangle.

   • 7 cm² and 3.5 cm²
   • 12 cm² and 24 cm²
   • 12 cm² and 6 cm²
   • 12 cm² and 4 cm²
   Check

3. 3. Question 1c: a rectangle is 5 cm by 2 cm. A triangle drawn inside it has the same base and height. Find the areas of the rectangle and the triangle.

   • 10 cm² and 10 cm²
   • 7 cm² and 3.5 cm²
   • 10 cm² and 5 cm²
   • 10 cm² and 2.5 cm²
   Check

4. 4. Question 2: match each triangle (A to E) to its area.

   • A
   • B
   • C
   • D
   • E

   • 10 cm²
   • 3 cm²
   • 7.5 cm²
   • 6 cm²
   • 9 cm²
   Check

5. 5. Question 3a: a right-angled triangle has a base of 10 cm and a height of 4 cm. Work out its area.

   • 7 cm²
   • 40 cm²
   • 14 cm²
   • 20 cm²
   Check

6. 6. Question 3b: a triangle has a base of 30 m and a height of 8 m. Work out its area.

   • 38 m²
   • 240 m²
   • 120 m²
   • 19 m²
   Check

7. 7. Question 3c: a triangle has a base of 12 cm and a height of 5 cm. Work out its area.

   • 30 cm²
   • 60 cm²
   • 8.5 cm²
   • 17 cm²
   Check

8. 8. Question 3d: an obtuse triangle has a base of 20 mm and a height of 18 mm (measured outside the triangle). Work out its area.

   • 90 mm²
   • 360 mm²
   • 180 mm²
   • 38 mm²
   Check

9. 9. Question 4a: a triangle has a base of 6 cm and a height of 7 cm. Work out its area.

   • 6.5 cm²
   • 21 cm²
   • 13 cm²
   • 42 cm²
   Check

10. 10. Question 4b: a triangle has a base of 18 m and a height of 9 m. Work out its area.

    • 81 m²
    • 27 m²
    • 13.5 m²
    • 162 m²
    Check

11. 11. Question 4c: a triangle has a base of 24 mm and a perpendicular height of 12 mm. Work out its area.

    • 144 mm²
    • 18 mm²
    • 36 mm²
    • 288 mm²
    Check

12. 12. Question 5: a triangle has a base length of 15 cm and a height of 6 cm. Work out the area of the triangle.

    • 10.5 cm²
    • 21 cm²
    • 45 cm²
    • 90 cm²
    Check

13. 13. Question 6: Eira uses an equal number of red, white, blue and gold triangles, 120 triangles in all. Each triangle has a height and base of 22 cm. What is the total area of each colour of fabric she needs?

    • 242 cm²
    • 29 040 cm²
    • 7260 cm²
    • 14 520 cm²
    Check

14. 14. 7 This triangle has a height of 8 cm and an area of 32 cm². Marcus says: "The base of the triangle is 4 cm because 4 × 8 = 32." Is Marcus correct?

    • Yes
    • No
    Check

15. 15. Question 8a: a compound shape is an 8 cm by 6 cm rectangle with a triangle of height 7 cm on top of the 8 cm side. Work out its area.

    • 76 cm²
    • 84 cm²
    • 104 cm²
    • 48 cm²
    Check

16. 16. Question 8b: a compound shape is a 5 m by 12 m rectangle with a triangle of base 12 m and height 9 m on its side. Work out its area.

    • 60 m²
    • 114 m²
    • 168 m²
    • 81 m²
    Check

17. 17. Question 9: a 24 cm by 15 cm rectangle has a white triangle with base 16 cm and height 9 cm cut out of it. Work out the shaded area.

    • 216 cm²
    • 360 cm²
    • 144 cm²
    • 288 cm²
    Check

18. 18. Question 10a: work out the length marked x.

    • 31 cm
    • 12 cm
    • 8 cm
    • 7 cm
    Check

19. 19. Question 10: a compound shape is 20 cm wide. It is 19 cm tall on the left and 12 cm tall on the right, with a sloping top. Work out its area.

    • 240 cm²
    • 310 cm²
    • 380 cm²
    • 70 cm²
    Check

20. 20. Question 11a: a triangle has an area of 96 cm² and a base of 12 cm. What is its height?

    • 4 cm
    • 16 cm
    • 84 cm
    • 8 cm
    Check