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Math 9 · Unit 7: Shapes and measurements · Cambridge Lower Secondary Maths Stage 9

7.2 Areas of compound shapes

40 questions · e.g. Area of an L-shape

Practice

Questions

  1. 1. What is the area of this rectangle?

    6 cm4 cm
    Check
  2. 2. What is the area of this triangle?

    4 cm6 cm
    Check
  3. 3. What is the area of this semicircle with radius 3 cm, to 2 d.p.?

    3 cm
    Check
  4. 4. What is the area of this compound shape, a rectangle and a triangle?

    4 cm4 cm6 cm
    Check
  5. 5. What is the area of this compound shape, a rectangle and a semicircle, to 2 d.p.?

    4 cm6 cm
    Check
  6. 6. What is the area of this compound shape, a semicircle and a triangle, to 2 d.p.?

    4 cm6 cm
    Check
  7. 7. What is the area of this compound shape, made of rectangles A and B?

    AB8 cm10 cm12 cm1 cm
    Check
  8. 8. What is the area of this compound shape, a square A and a triangle B?

    AB6 mm6 mm4 mm
    Check
  9. 9. What is the area of this compound shape, a rectangle A and a semicircle B, to 2 d.p.?

    BA3 cm10 cm
    Check
  10. 10. A circle of radius 4 cm has a white triangle inside it, with base 2 cm and height 2√7 cm. What is the shaded area of the circle, to 2 d.p.?

    2√7 cm2 cm4 cm
    Check
  11. 11. This compound shape is made from two rectangles, A and B. Work out the missing lengths.

    AB3 cm7 cm4 cm8 cm8 − 3 =cm7 − 4 =cm

    Fill the blanks with these.

    Check
  12. 12. What is the area of this L-shaped compound shape?

    AB3 cm7 cm4 cm8 cm
    Check
  13. 13. For each of these compound shapes, work out the missing lengths.

    aAB5 cm6 cm13 cm15 cmbAB10 cm5 cm2 cm10 cm16 cm

    Fill the blanks with these.

    Check
  14. 14. What is the area of this compound shape made of rectangles A and B?

    AB5 cm6 cm13 cm15 cm
    Check
  15. 15. What is the area of this compound shape made of rectangles A and B?

    AB10 cm5 cm2 cm10 cm16 cm
    Check
  16. 16. What is the area of this compound shape?

    10 cm8 cm16 cm
    Check
  17. 17. What is the area of this compound shape, to 2 d.p.?

    12 cm8 cm
    Check
  18. 18. Work out an estimate of the area of each shape, rounding all the numbers to one significant figure. Which gives the estimates for a, b, c and d?

    a7.1 cm5.7 cm9.8 cmb5.85 m5.85 mc6.4 cm8.8 cmd42 mm42 mm
    Check
  19. 19. What is the area of this shape, to 1 d.p.?

    a7.1 cm5.7 cm9.8 cm
    Check
  20. 20. What is the area of this shape, to 1 d.p.?

    b5.85 m5.85 m
    Check