R8 relate ratios to fractions and to linear functions Quiz: Pearson Edexcel Maths, Unit 3

The 20 questions

1. The ratio 1:4 corresponds to the fraction 1/4 of

   • the total
   • the second quantity
   • the first quantity
   • zero

2. For the ratio y:x = 3:2, the linear function is

   • y = 1.5x
   • y = 3x + 2
   • y = 3x
   • y = 2x

3. What does a linear function with a zero y-intercept represent between two variables?

   • direct ratio
   • inverse proportion
   • quadratic growth
   • exponential decay

4. The gradient of y = 4x represents the ratio

   • x:y = 4:1
   • 4:4
   • 1:4
   • 4:1

5. The fraction 3/4 of a total can be written as the ratio

   • 3:4
   • 1:3
   • 4:3
   • 3:1

6. The ratio 2:3 corresponds to the fraction 2/3 of

   • the total
   • 3
   • the first quantity
   • the second quantity

7. A linear relationship in which the ratio y:x is constant is

   • a quadratic function
   • any straight line
   • y = k/x
   • y = kx

8. The graph of y = 0.5x shows the ratio y:x as

   • 1:2
   • 1:1
   • 2:1
   • 0.5:2

9. The ratio 3:5 means the first part is what fraction of the total?

   • 3/2
   • 5/8
   • 3/8
   • 3/5

10. The ratio 2:5 means the first quantity is what fraction of the second?

    • 2/5
    • 5/7
    • 2/7
    • 5/2

11. On the graph y = 2.5x, when x = 10, the ratio y:x is

    • 1:4
    • 2.5:10
    • 2:5
    • 5:2

12. If x:y = 3:4, the linear function giving y in terms of x is

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

13. A cost C has ratio C:h = 4:1 with h hours. For 6 hours, C is

    • 1.5
    • 10
    • 24
    • 6

14. A straight line through the origin has gradient 0.25. The ratio y:x is

    • 0.25:1
    • 4:1
    • 1:4
    • 1:0.25

15. If 2/5 of a group are girls, the ratio girls:boys is

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

16. A fraction 3/8 of a total is one part of a ratio. The ratio first:second is

    • 3:5
    • 3:8
    • 5:3
    • 8:3

17. Why does the linear function y = 2x + 3 fail to represent a direct proportion?

    • fractional coefficient
    • curved graph
    • nonzero y-intercept
    • negative gradient

18. Given y:x = 3:2 and x:z = 2:5, the ratio y:z is

    • 3:5
    • 5:3
    • 3:10
    • 6:5

19. A line through the origin and (4, 10) has y:x equal to

    • 4:1
    • 2:5
    • 5:2
    • 2:4

20. If y = 3x, the fraction x / (x + y) is

    • 1/2
    • 3/4
    • 1/4
    • 1/3

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