Math 9 · Unit 5: Angles · Cambridge Lower Secondary Maths Stage 9

Questions

1. 1. Use Pythagoras' theorem to calculate the length of the hypotenuse of each triangle. Round c to 1 decimal place. What are a, b and c?

   • a 100, b 169, c 1096
   • a 10, b 13, c 33.1
   • a 14, b 17, c 44.0
   • a 10, b 13, c 26.5
   Check

2. 2. Calculate the length of the hypotenuse of each triangle. Round each answer to 1 decimal place. What are a, b and c?

   • a 4.9 cm, b 8.9 cm, c 13.3 cm
   • a 12.0 cm, b 20.0 cm, c 22.3 cm
   • a 8.6 cm, b 14.4 cm, c 16.7 cm
   • a 74 cm, b 208 cm, c 279.9 cm
   Check

3. 3. Calculate the length of each lettered side. What are a, b and c?

   • a 6, b 4.5, c 2
   • a 144, b 56.25, c 196
   • a 17.5, b 9.4, c 69.3
   • a 12, b 7.5, c 14
   Check

4. 4. Calculate the missing lengths. Round each answer to 1 decimal place. What are a, b and c?

   • a 35.3 cm, b 17.9 cm, c 16.2 cm
   • a 40.5 cm, b 25.1 cm, c 28.1 cm
   • a 1248 cm, b 321.5 cm, c 262.0 cm
   • a 24.0 cm, b 9.4 cm, c 6.7 cm
   Check

5. 5. The sides of a rectangle are 5.5 cm and 8.5 cm as shown in the diagram. Calculate the length of the diagonal, to 1 decimal place.

   • 14.0 cm
   • 6.5 cm
   • 10.1 cm
   • 102.5 cm
   Check

6. 6. Calculate the length of the diagonal of a square when the length of each side is 3 cm, 5 cm, 8 cm and 10 cm. Round each answer to 1 decimal place.

   • 6 cm, 10 cm, 16 cm, 20 cm
   • 4.2 cm, 7.1 cm, 11.3 cm, 14.1 cm
   • 18 cm, 50 cm, 128 cm, 200 cm
   • 2.1 cm, 3.5 cm, 5.7 cm, 7.1 cm
   Check

7. 7. Test the conjecture that the diagonal of a square is always √2 × the length of the side.

   • True
   • False
   Check

8. 8. The diagram shows the side view of a building. Calculate the length of AB, to 1 decimal place.

   • 4.5 m
   • 13.8 m
   • 3.5 m
   • 3.7 m
   Check

9. 9. A badminton court is 6.1 m wide and 13.4 m long. What is the distance from one corner to the opposite corner, to 1 decimal place?

   • 216.8 m
   • 19.5 m
   • 14.7 m
   • 12.0 m
   Check

10. 10. ABC is an equilateral triangle with sides of 20 cm. What is its height AD, to 1 decimal place?

    • 20 cm
    • 22.4 cm
    • 10 cm
    • 17.3 cm
    Check

11. 11. ABC is an equilateral triangle. Each side is 20 cm. Work out the area of the triangle, to 1 decimal place.

    • 86.6 cm²
    • 346.4 cm²
    • 200 cm²
    • 173.2 cm²
    Check

12. 12. In the triangle PQS, PR is at right angles to QS. PQ is 13 and QR is 5. How long is PR?

    • 12
    • 13.9
    • 18
    • 8
    Check

13. 13. In the triangle PQS, PR is at right angles to QS. PR is 12 and RS is 9. How long is PS?

    • 15
    • 13
    • 7.9
    • 21
    Check

14. 14. An A4 sheet is 21.0 cm wide and 29.7 cm long. What is the longest straight line you can draw on it, to 1 decimal place?

    • 29.7 cm
    • 50.7 cm
    • 21.0 cm
    • 36.4 cm
    Check

15. 15. This is a parallelogram. What is its height?

    • 26.0 cm
    • 24 cm
    • 32 cm
    • 18 cm
    Check

16. 16. This is a parallelogram. Work out its area.

    • 360 cm²
    • 168 cm²
    • 720 cm²
    • 750 cm²
    Check