GCSE Mathematics (9-1)

11.5 Real-life and distance-time graphs — Practise

Work independently in order. The later questions mix this section with earlier methods. Questions marked H are Higher only.

  1. A cyclist travels 18 km in 1.5 hours. Find the constant speed.
  2. A car travels at 60 km/h for 2.5 hours. Find its distance.
  3. A distance-time graph rises from 0 km to 8 km in 40 minutes. Find speed in km/h.
  4. What does a horizontal section on a distance-time graph show?
  5. A walker is 6 km from home, then the graph slopes down to 2 km from home. Describe the journey.
  6. A tap fills 9 litres in 3 minutes at a constant rate. How much in 8 minutes?
  7. Which is faster: 30 km in 2 hours or 20 km in 1.25 hours?
  8. A graph shows cost £5 at 0 items and £2 added per item. State the fixed cost and cost for 4 items.
  9. A distance-time line has gradient 3 km per hour. How far in 5 hours at the same rate?
  10. H A journey covers 12 km in 30 minutes and then 18 km in 45 minutes. Compare the two speeds.
Answers and concise solutions

1. Question 1

Answer: 12 km/h

2. Question 2

Answer: 150 km

3. Question 3

Answer: 12 km/h

4. Question 4

Answer: The distance stays constant; stationary

5. Question 5

Answer: Walking towards home

6. Question 6

Answer: 24 litres

7. Question 7

Answer: 20 km in 1.25 hours: 16 km/h vs 15 km/h

8. Question 8

Answer: £5; £13

9. Question 9

Answer: 15 km

10. Question 10

Answer: Both 24 km/h

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