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Math 9 · Unit 8: Fractions · Cambridge Lower Secondary Maths Stage 9

8.2 Fractions and the correct order of operations

25 questions · e.g. 3 + 2/3 × 4/5

Practice

Questions

  1. 1. Copy and complete these calculations. 2 1/8 + (1 1/2 − 1/4)

    Brackets:112 − 14 = 14 − 4 = 14Addition:218 + 14 = 218 + 18 = 38

    Fill the blanks with these.

    Check
  2. 2. Copy and complete these calculations. 3 + 2/3 × 4/5

    Multiplication:23 × 45 = 2 × 43 × 5 = Addition:3 + = 3

    Fill the blanks with these.

    Check
  3. 3. Copy and complete these calculations. 2² ÷ 3/5 − 1 5/6

    Indices:2² = 4Division:4 ÷ 35 = 4 × 53 = 3Subtraction:3 − 156 = 6 − 116 = 6 = 6

    Fill the blanks with these.

    Check
  4. 4. Work out 4 3/8 + 1/2 × 3/4.

    Check
  5. 5. Work out 3/5 × 1/2 + 2 1/10.

    Check
  6. 6. Work out 5 5/8 − (2 1/2 + 3/8).

    Check
  7. 7. Work out 5/8 ÷ 15/16 + 4 1/3.

    Check
  8. 8. Match each calculation with the correct answer.

    • 5 1/4 + 1/2 × 5/6
    • 8 2/3 − (4 3/4 − 1 1/2)
    • 11/12 × (3² ÷ 3/2)
    • 5 1/2
    • 5 2/3
    • 5 5/12
    Check
  9. 9. Work out 10 − (1 1/6 + 2 7/12).

    Check
  10. 10. Work out 4 2/9 + (7 2/3 − 1/2).

    Check
  11. 11. Work out 6 7/8 + 2 1/4 × 15.

    Check
  12. 12. Work out 18 1/14 − 6/7 × 5/2.

    Check
  13. 13. The triangle has a perimeter of 25 49/50 m. Which calculation works out the length of the third side?

    4 2/5 m12 7/25 mPerimeter = 25 49/50 m
    Check
  14. 14. A triangle has a perimeter of 25 49/50 m. Two of its sides are 4 2/5 m and 12 7/25 m. Is Arun's estimate of the third side correct?

    I estimate the lengthof the third side of thetriangle to be about 6 m.Arun
    Check
  15. 15. A triangle has a perimeter of 25 49/50 m. Two of its sides are 4 2/5 m and 12 7/25 m. Is the third side 9 1/2 m long?

    4 2/5 m12 7/25 mPerimeter = 25 49/50 m
    Check
  16. 16. Shania has a mass of 57 2/5 kg. Kiera's mass is 2 1/4 kg more than Shania's mass. The total mass of Shania, Kiera and Lara is 173 3/4 kg. What is Lara's mass?

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  17. 17. Copy and complete the workings to calculate the answer to 2/3 ÷ 3/7 + 6 1/2 × 7.

    Division:23 ÷ 37 = 23 × = Multiplication:612 × 7 = 2 × 7 = 2Addition:149 + 912 = 2818 + 81918 = 18

    Fill the blanks with these.

    Check
  18. 18. Work out the area of this compound shape.

    1 3/4 m3 2/3 m2 5/6 m5 5/12 m
    Check
  19. 19. Work out (3 1/2)² + 3 1/2.

    Check
  20. 20. Work out 16 × 2 1/4 − (3/4)².

    Check