Lesson R7

R7 Proportion as equality of ratios Quiz: AQA Maths, Unit 3

20 questions

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Lesson R7, Proportion as equality of ratios: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 3: Ratio, proportion and rates of change, written with Revision Ninja.

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The 20 questions

  1. Is 2:3 equal to 6:9?

    • Yes, both simplify to 2:3
    • No, because 6 is not double 3
    • No, because 6 + 9 is not 2 + 3 plus 5
    • Yes, both simplify to 2:5
  2. Find x if 3:4 = x:20.

    • 12
    • 5
    • 16
    • 15
  3. Find y if 5:y = 15:27.

    • 3
    • 18
    • 9
    • 27
  4. Find x if 4:6 = 10:x.

    • 25
    • 10
    • 12
    • 15
  5. If 5 pens cost 8 pounds, how much do 15 pens cost at the same rate?

    • 30 pounds
    • 20 pounds
    • 24 pounds
    • 40 pounds
  6. Which pair of quantities is in direct proportion?

    • Number of workers and time to finish a job
    • Brightness of a bulb and distance from it
    • Speed and time for a fixed distance
    • Number of pens and total cost at a fixed price
  7. Are the pairs 3 : 12 and 5 : 20 in the same ratio?

    • Yes, both simplify to 1:3
    • Yes, both simplify to 1:4
    • No, because 3 + 12 is not 5 + 20
    • No, because 12 is not a multiple of 5
  8. Find x if 2:5 = x:35.

    • 10
    • 7
    • 12
    • 14
  9. Find x if 4:7 = 12:x.

    • 21
    • 84
    • 19
    • 28
  10. Two kilograms of cheese costs 3 pounds. What does 5 kg cost at the same rate?

    • 15 pounds
    • 6 pounds
    • 10 pounds
    • 7.50 pounds
  11. A bag of 4 apples costs 1.20 pounds. What do 10 apples cost at the same rate?

    • 2.40 pounds
    • 12 pounds
    • 4 pounds
    • 3 pounds
  12. In y = 3x, what is the constant of proportionality?

    • 4
    • 12
    • 3
    • 7
  13. Ratio 3 : 5 — if 12 corresponds to 3, what corresponds to 5?

    • 15
    • 20
    • 12
    • 25
  14. A recipe uses 100 g butter for 150 g flour. How much butter is needed for 240 g flour?

    • 160 g
    • 120 g
    • 240 g
    • 180 g
  15. Find x if 7 : 3 = 21 : x.

    • 63
    • 18
    • 9
    • 7
  16. Are the points (2, 5), (4, 10) and (6, 15) in direct proportion?

    • Yes, since each y is 2.5 times x
    • Yes, since each y is 3 times x
    • No, since 5 + 2 is not 10
    • No, since 15 is not double 10
  17. If a : b = 5 : 2 and b = 6, what is a?

    • 30
    • 2.4
    • 12
    • 15
  18. Find x if 9 : 12 = 3 : x.

    • 9
    • 4
    • 3
    • 36
  19. (H) If a/b = 2/3 and a + b = 35, what is a?

    • 14
    • 35
    • 10
    • 21
  20. (H) If speed doubles, what happens to the time taken for a fixed distance?

    • Quadruples
    • Stays the same
    • Halves
    • Doubles

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