R8 Relating ratios to fractions and linear functions Quiz: AQA Maths, Unit 3

The 20 questions

1. A bag has red to blue counters in the ratio 3:5. What fraction are red?

   • 3/5
   • 3/2
   • 3/8
   • 5/8

2. A drink has juice to water in the ratio 2:5. What fraction of the drink is the second part?

   • 2/7
   • 2/5
   • 5/7
   • 2/3

3. Which linear function keeps y : x equal to 2 : 1 for all x?

   • y = 2x
   • y = x + 2
   • y = x^2
   • y = 2/x

4. The ratio y : x is 3 : 4 for every point. Which equation links them?

   • y = 3x/4
   • y = 7x
   • y = 3 + 4x
   • y = 4x/3

5. For y = 5x, what is the ratio y : x?

   • 5:5
   • x:5
   • 5:1
   • 1:5

6. A straight line through the origin has gradient 2/3 with y : x as the ratio. What is the ratio y : x?

   • 2 : 3
   • 2
   • 3
   • 3 : 2

7. A shop charges 4 pounds per kg. What is the ratio of cost to weight in pounds per kg?

   • 4 pounds : kg
   • 4:1
   • 4 kg
   • 1:4

8. A bag of 35 sweets is shared in the ratio 2 : 3. What fraction of the sweets does the smaller share get?

   • 2/5
   • 2/3
   • 3/5
   • 1/5

9. A line through (0, 0) and (4, 6) gives the ratio y : x. What is it in simplest form?

   • 3 : 2
   • 6 : 1
   • 2 : 3
   • 4 : 6

10. A line has gradient 1/4. What is the ratio y : x?

    • 4 : 1
    • 1 : 4
    • 1 : 2
    • 1 : 3

11. What fraction of the total is the 7 part of the ratio 7 : 10?

    • 7/10
    • 7/3
    • 7/17
    • 10/17

12. For y = 2.5x, what is the ratio y : x?

    • 5 : 3
    • 2 : 1
    • 5 : 2
    • 2 : 5

13. A quantity is 3 times x. What fraction of y is x?

    • 3
    • 2/3
    • 1/4
    • 1/3

14. Profit to sales is in the ratio 1 : 4. What fraction of sales is profit?

    • 4
    • 1/4
    • 1/5
    • 1/3

15. In a class 40% are girls. What is the ratio of boys to girls?

    • 3 : 2
    • 2 : 5
    • 3 : 5
    • 2 : 3

16. Red, green and yellow are in the ratio 2 : 3 : 5. What fraction are red?

    • 2/5
    • 1/3
    • 1/5
    • 2/3

17. Why is y = x + 2 not a ratio relationship between y and x?

    • Because the graph crosses the y-axis at the point (0, 2)
    • Because the gradient is 1, so y is proportional to x
    • Because x and y are both positive, so no ratio applies
    • The ratio y : x changes because of the constant 2

18. Two quantities are in the ratio 3 : 4. If the first is 12, what is the second?

    • 16
    • 15
    • 12
    • 9

19. (H) For a straight line y = mx through the origin, what is the ratio y : x?

    • x : y = m : 1
    • y : m = x : 1
    • m : 1
    • 1 : m

20. (H) For y = 3x + 2 at x = 2, what is the ratio y : x?

    • 4 : 1
    • 3 : 1
    • 8 : 1
    • 2 : 1

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