R14 Gradient as a rate of change and proportion graphs Quiz: AQA Maths, Unit 3

The 20 questions

1. On a distance-time graph (metres, seconds), what does a gradient of 4 represent?

   • 4 m/s speed
   • 4 s time
   • 4 m/s² acceleration
   • 4 m distance

2. What is the gradient of the line joining (2, 5) and (6, 25)?

   • 20
   • 5
   • 0.2
   • 4

3. On a cost-volume graph (£ against litres), what does a gradient of 1.20 represent?

   • £1.20 fixed fee
   • £1.20 per litre
   • 1.20 litres volume
   • £1.20 total cost

4. A tank graph of volume in litres against time in minutes has gradient 15. What is the rate of filling?

   • 0.067 minutes per litre
   • 15 minutes per litre
   • 15 litres
   • 15 litres per minute

5. What feature identifies a direct proportion graph?

   • Reciprocal curve
   • Horizontal line
   • Line through (0, 1)
   • Line through origin

6. For y = k/x, what property is constant for any point (x, y)?

   • Difference x - y
   • Area xy
   • Perimeter x + y
   • Gradient y/x

7. A straight-line graph passes through the origin, (4, 10) and (8, 20). What is its gradient?

   • 2
   • 6
   • 2.5
   • 0.4

8. What does a gradient of zero indicate on a line graph?

   • Inverse proportion
   • Direct proportion
   • Infinite change
   • No change

9. A straight line passes through (1, 3) and (3, 9). What is its gradient?

   • 3
   • 0.33
   • 2
   • 6

10. A direct proportion graph has gradient 2.5. What is y when x = 12?

    • 4.8
    • 30
    • 14.5
    • 2.5

11. A graph of water depth in cm against time in minutes has gradient 0.8. How much does the depth rise in 15 minutes?

    • 1.2 cm
    • 0.053 cm
    • 18.75 cm
    • 12 cm

12. For a direct proportion graph y = kx, what does k represent?

    • The x-intercept
    • The area
    • The y-intercept
    • The gradient

13. What is the gradient of the line segment from (−2, 1) to (2, 9)?

    • −2
    • 2
    • 0.5
    • 8

14. On a distance-time graph, what quantity does the gradient describe?

    • Time taken
    • Acceleration
    • Speed
    • Total distance

15. A graph of cost in pounds against number of tickets is a straight line through the origin with gradient 7.50. What is the cost of 6 tickets?

    • £1.25
    • £45
    • £7.50
    • £13.50

16. A line passes through (0, 3) and (5, 13). What are its gradient and y-intercept?

    • Gradient 2, intercept 3
    • Gradient 5, intercept 3
    • Gradient 3, intercept 2
    • Gradient 2, intercept 13

17. A straight-line graph of pressure in kPa against depth in m has gradient 9.8. What is the pressure at 3 m?

    • 29.4 kPa
    • 3.27 kPa
    • 12.8 kPa
    • 98 kPa

18. A line with gradient −4 passes through (0, 12). Where does it cross the x-axis?

    • (12, 0)
    • (−3, 0)
    • (3, 0)
    • (0, 3)

19. A direct proportion graph y = kx passes through (6, 18). What is the gradient?

    • 108
    • 3
    • 0.33
    • 12

20. Which line is steeper: gradient 2 or gradient 5?

    • Gradient 0
    • Gradient 2
    • Both same steepness
    • Gradient 5

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