A15 calculate or estimate gradients of graphs and areas under graphs (including quadratic... Quiz: Pearson Edexcel Maths, Unit 2

The 20 questions

1. How do you estimate the gradient of a curve at a single point?

   • find midpoint
   • draw tangent
   • integrate function
   • calculate chord length

2. The area under a velocity-time graph gives

   • distance travelled
   • the gradient
   • acceleration
   • average speed

3. The gradient of a distance-time graph represents

   • speed
   • distance
   • acceleration
   • time taken

4. The gradient of a velocity-time graph represents

   • acceleration
   • distance
   • speed
   • displacement

5. Which method is used to estimate the area under a curve?

   • Square counting
   • Trapezia strips
   • Triangle splitting
   • Rectangle circumscribing

6. What does the gradient of a value-time graph represent?

   • Initial value
   • Rate of change
   • Total value
   • Average value

7. What does a negative gradient on a distance-time graph indicate?

   • Speeding up
   • Returning home
   • Stationary motion
   • Moving forwards

8. What does the section below the time axis on a velocity-time graph represent?

   • Deceleration
   • Reverse motion
   • Zero speed
   • Negative distance

9. A tangent to a distance-time graph passes through (2, 40) and (6, 120). Its gradient is

   • 5 m/s
   • 160 m/s
   • 20 m/s
   • 80 m/s

10. A velocity-time trapezium has parallel sides 4 m/s and 10 m/s and width 6 s. Its area is

    • 42 m
    • 84 m
    • 60 m
    • 24 m

11. A tangent at x = 2 on a curve passes through (1, 3) and (3, 7). Its gradient is

    • 0.5
    • 4
    • -2
    • 2

12. A value rises from £200 to £260 over 4 years. The average rate of change is

    • £60 per year
    • £200 per year
    • £4 per year
    • £15 per year

13. A velocity falls from 12 m/s to 0 m/s over 4 s in a straight line. The distance is

    • 24 m
    • 48 m
    • 6 m
    • 12 m

14. A distance of 150 m is covered in 10 s. The average speed is

    • 15 m/s
    • 150 m/s
    • 10 m/s
    • 1500 m/s

15. Using more strips when estimating the area under a curve results in what?

    • Constant error
    • Zero error
    • Higher accuracy
    • Lower accuracy

16. The chord from (2, 4) to (3, 9) on y = x^2 gives an approximate gradient of

    • 5
    • 13
    • 4
    • 9

17. On a distance-time graph, at a later time the curve is steeper. The speed then is

    • unchanged
    • zero
    • smaller
    • greater

18. Velocity is 4 m/s for 2 s, then -3 m/s for 3 s. The net displacement is

    • -17 m
    • 17 m
    • -1 m
    • 1 m

19. What does the area under a rate-of-change graph represent?

    • Final rate
    • Average rate
    • Maximum rate
    • Total change

20. A car accelerates uniformly from 0 to 20 m/s in 8 s. The distance covered is

    • 20 m
    • 40 m
    • 80 m
    • 160 m

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