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Real-life & distance–time graphs practice questions with answers

Foundation and Higher · Grade 4

A second set of real-life & distance–time graphs questions for GCSE Maths. They are different from the ones on the topic page, so work through both. Try each question, then open the answer to check your working.

More questions

Question 1 Easy

A straight section of a distance-time graph covers 27 metres in 3 seconds. What is the speed in metres per second?

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Answer: 9

  1. Speed = distance ÷ time = 27 ÷ 3.
  2. 27 ÷ 3 = 9.
  • Method (1): Speed = distance ÷ time = 27 ÷ 3.
  • Accuracy (1): Answer 9

Question 2 Easy

A straight section of a distance-time graph goes from (2, 13) to (6, 37). Time is in seconds and distance is in metres. What is the speed in metres per second?

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Answer: 6

  1. Change in distance = 37 − 13 = 24.
  2. Change in time = 6 − 2 = 4.
  • Method (1): Change in distance = 37 − 13 = 24.
  • Accuracy (1): Answer 6

Question 3 Medium

A section of a distance-time graph covers 2 km in 6 minutes. What is the speed in km/h?

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Answer: 20

  1. 6 minutes = 6 ÷ 60 = 0.1 hours.
  2. Speed = 2 ÷ 0.1 = 20.
  • Method (1): 6 minutes = 6 ÷ 60 = 0.1 hours.
  • Accuracy (1): Answer 20

Question 4 Medium

A straight section of a distance-time graph covers 12 metres in 2 seconds. What is the speed in metres per second?

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Answer: 6

  1. Speed = distance ÷ time = 12 ÷ 2.
  2. 12 ÷ 2 = 6.
  • Method (1): Speed = distance ÷ time = 12 ÷ 2.
  • Accuracy (1): Answer 6

Question 5 Hard

A distance-time graph falls from 95 metres at 20 seconds to 20 metres at 35 seconds. What is the speed on the way back, in metres per second?

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Answer: 5

  1. Distance covered = 95 − 20 = 75.
  2. Time taken = 35 − 20 = 15.
  • Method (1): Distance covered = 95 − 20 = 75.
  • Accuracy (1): Answer 5

Question 6 Hard

A section of a distance-time graph covers 1 km in 6 minutes. What is the speed in km/h?

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Answer: 10

  1. 6 minutes = 6 ÷ 60 = 0.1 hours.
  2. Speed = 1 ÷ 0.1 = 10.
  • Method (1): 6 minutes = 6 ÷ 60 = 0.1 hours.
  • Accuracy (1): Answer 10

Exam-style question

A longer question with marks, in the style of a written paper. This is a Yumio practice question, not a past paper question.

Exam-style question 13 marks

A section of a distance-time graph covers 2 km in 15 minutes. What is the speed in km/h?

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Answer: 8

  1. 15 minutes = 15 ÷ 60 = 0.25 hours.
  2. Speed = 2 ÷ 0.25 = 8.
  3. The speed is 8 km/h.
  • Method (1): 15 minutes = 15 ÷ 60 = 0.25 hours.
  • Method (1): Speed = 2 ÷ 0.25 = 8.
  • Accuracy (1): Answer 8

Quick checks

Short one-step questions. Pick an option before you open the answer.

Check 1

A straight section of a distance-time graph covers 20 metres in 5 seconds. What is the speed in metres per second?

  1. 4
  2. 0.25
  3. 100
Show answer

4 The result is 4.

Check 2

A straight section of a distance-time graph goes from (2, 7) to (6, 35). Time is in seconds and distance is in metres. What is the speed in metres per second?

  1. 7
  2. 28
  3. 5.83
Show answer

7 The result is 7.

Check 3

On a distance-time graph the line is horizontal from t = 6 minutes to t = 11 minutes. For how many minutes is the object stopped?

  1. 5
  2. 11
  3. 17
Show answer

5 The result is 5.

Check 4

A distance-time graph falls from 65 metres at 10 seconds to 40 metres at 15 seconds. What is the speed on the way back, in metres per second?

  1. 5
  2. -5
  3. 13
Show answer

5 The result is 5.

Check 5

A section of a distance-time graph covers 3 km in 15 minutes. What is the speed in km/h?

  1. 12
  2. 0.2
  3. 0.75
Show answer

12 The result is 12.

Check 6

A straight section of a distance-time graph covers 18 metres in 2 seconds. What is the speed in metres per second?

  1. 9
  2. 0.11
  3. 36
Show answer

9 The result is 9.

Check 7

A straight section of a distance-time graph goes from (2, 13) to (7, 43). Time is in seconds and distance is in metres. What is the speed in metres per second?

  1. 6
  2. 30
  3. 6.14
Show answer

6 The result is 6.

Check 8

On a distance-time graph the line is horizontal from t = 5 minutes to t = 11 minutes. For how many minutes is the object stopped?

  1. 6
  2. 11
  3. 16
Show answer

6 The result is 6.

Check 9

A distance-time graph falls from 145 metres at 15 seconds to 40 metres at 30 seconds. What is the speed on the way back, in metres per second?

  1. 7
  2. -7
  3. 9.67
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7 The result is 7.

Check 10

A section of a distance-time graph covers 4 km in 12 minutes. What is the speed in km/h?

  1. 20
  2. 0.33
  3. 0.8
Show answer

20 The result is 20.

Check 11

A straight section of a distance-time graph covers 12 metres in 2 seconds. What is the speed in metres per second?

  1. 6
  2. 0.17
  3. 24
Show answer

6 The result is 6.

Check 12

A straight section of a distance-time graph goes from (2, 7) to (7, 32). Time is in seconds and distance is in metres. What is the speed in metres per second?

  1. 5
  2. 25
  3. 4.57
Show answer

5 The result is 5.

Check 13

On a distance-time graph the line is horizontal from t = 6 minutes to t = 14 minutes. For how many minutes is the object stopped?

  1. 8
  2. 14
  3. 20
Show answer

8 The result is 8.

Check 14

A distance-time graph falls from 80 metres at 15 seconds to 20 metres at 25 seconds. What is the speed on the way back, in metres per second?

  1. 6
  2. -6
  3. 8
Show answer

6 The result is 6.

Check 15

A section of a distance-time graph covers 2 km in 6 minutes. What is the speed in km/h?

  1. 20
  2. 0.33
  3. 0.2
Show answer

20 The result is 20.

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