R10 solve problems involving direct and inverse proportion, including graphical and... Quiz: Pearson Edexcel Maths, Unit 3

The 20 questions

1. What shape is the graph of y directly proportional to x?

   • Parabola
   • Circle
   • Exponential curve
   • Straight line

2. Which equation represents y being directly proportional to x?

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

3. Which equation represents y being inversely proportional to x?

   • y = k/x^2
   • y = k/x
   • y = kx
   • y = x/k

4. If y is inversely proportional to x, and y = 12 when x = 3, what is k?

   • 4
   • 15
   • 36
   • 9

5. What type of graph represents y inversely proportional to x?

   • Cubic curve
   • Parabola
   • Hyperbola
   • Straight line

6. What is the relationship between variables in direct proportion?

   • Constant product
   • Constant sum
   • Constant difference
   • Constant ratio

7. If y is directly proportional to x and x triples, what happens to y?

   • It stays same
   • It squares
   • It triples
   • It thirds

8. If y is inversely proportional to x and x triples, what happens to y?

   • It thirds
   • It triples
   • It halves
   • It quadruples

9. y is directly proportional to x. y = 15 when x = 4. Find y when x = 10.

   • 25
   • 42.5
   • 37.5
   • 36

10. p is inversely proportional to q. p = 8 when q = 5. Find p when q = 20.

    • 2
    • 32
    • 0.625
    • 10

11. Three pens cost £4.20. If cost is directly proportional to the number of pens, what do seven pens cost?

    • £11.20
    • £10.20
    • £9.40
    • £9.80

12. Five workers take 12 days to build a wall. Assuming constant work rate and inverse proportion, how long do 8 workers take?

    • 4.8 days
    • 7.5 days
    • 8 days
    • 19.2 days

13. A straight-line graph of y directly proportional to x passes through (4, 10). What is its gradient?

    • 40
    • 2.5
    • 14
    • 0.4

14. y is inversely proportional to x, and y = 6 when x = 2.5. Find y when x = 3.

    • 4.5
    • 5
    • 3.6
    • 7.5

15. Two quantities satisfy y = k/x. When x = 2, y = 9. What is y when x = 6?

    • 3
    • 1.5
    • 18
    • 27

16. A graph of y against x is a straight line through the origin with gradient 3.2. Which relationship does it show?

    • y = 3.2x + 1
    • y = x/3.2
    • y = 3.2x
    • y = 3.2/x

17. y is directly proportional to the square of x. When x = 3, y = 36. Find y when x = 5.

    • 120
    • 60
    • 64
    • 100

18. p is directly proportional to q and inversely proportional to r. p = 12 when q = 4 and r = 2. Find p when q = 9 and r = 3.

    • 36
    • 27
    • 13.5
    • 18

19. y is inversely proportional to x. The graph of y against 1/x passes through (0.25, 8). Find k in y = k/x.

    • 12
    • 2
    • 0.25
    • 32

20. The values x: 1, 2, 4 and y: 12, 6, 3 show inverse proportion. What is the constant k in y = k/x?

    • 3
    • 24
    • 6
    • 12

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