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Scatter graphs practice questions with answers

Foundation and Higher · Grade 4

A second set of scatter 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 line of best fit passes through (30, 25) and (40, 65). Use the line to estimate y when x = 33.

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Answer: 37

  1. Gradient = (65 − 25) ÷ (40 − 30) = 4.
  2. From x = 30 to x = 33, y changes by 4 × 3 = 12.
  • Method (1): Gradient = (65 − 25) ÷ (40 − 30) = 4.
  • Accuracy (1): Answer 37

Question 2 Easy

A line of best fit passes through (0, 20) and (5, 45). What is its gradient?

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Answer: 5

  1. Change in y = 45 − 20 = 25.
  2. Change in x = 5 − 0 = 5.
  • Method (1): Change in y = 45 − 20 = 25.
  • Accuracy (1): Answer 5

Question 3 Medium

A line of best fit passes through (2, 15) and (6, 19). What is its gradient?

Show answer

Answer: 1

  1. Change in y = 19 − 15 = 4.
  2. Change in x = 6 − 2 = 4.
  • Method (1): Change in y = 19 − 15 = 4.
  • Accuracy (1): Answer 1

Question 4 Medium

The equation of a line of best fit is y = 4x + 19. Use it to estimate y when x = 11.

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Answer: 63

  1. Put x = 11 into y = 4x + 19.
  2. 4 × 11 = 44.
  • Method (1): Put x = 11 into y = 4x + 19.
  • Accuracy (1): Answer 63

Question 5 Hard

The equation of a line of best fit is y = 5x + 4. Use it to estimate y when x = 18.

Show answer

Answer: 94

  1. Put x = 18 into y = 5x + 4.
  2. 5 × 18 = 90.
  • Method (1): Put x = 18 into y = 5x + 4.
  • Accuracy (1): Answer 94

Question 6 Hard

A line of best fit passes through (30, 30) and (40, 70). Use the line to estimate y when x = 32.

Show answer

Answer: 38

  1. Gradient = (70 − 30) ÷ (40 − 30) = 4.
  2. From x = 30 to x = 32, y changes by 4 × 2 = 8.
  • Method (1): Gradient = (70 − 30) ÷ (40 − 30) = 4.
  • Accuracy (1): Answer 38

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 12 marks

A line of best fit passes through (0, 10) and (5, 15). What is its gradient?

Show answer

Answer: 1

  1. Change in y = 15 − 10 = 5.
  2. Change in x = 5 − 0 = 5.
  3. Gradient = 5 ÷ 5 = 1.
  • Method (1): Change in y = 15 − 10 = 5.
  • Accuracy (1): Answer 1

Quick checks

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

Check 1

A line of best fit passes through (30, 70) and (40, 50). Use the line to estimate y when x = 36.

  1. 58
  2. 70
  3. -2
Show answer

58 The result is 58.

Check 2

A line of best fit passes through (2, 15) and (7, 25). What is its gradient?

  1. 2
  2. 10
  3. 0.5
Show answer

2 The result is 2.

Check 3

The equation of a line of best fit is y = 4x + 13. Use it to estimate y when x = 13.

  1. 65
  2. 52
  3. 30
Show answer

65 The result is 65.

Check 4

A line of best fit passes through (30, 35) and (40, 75). Use the line to estimate y when x = 38.

  1. 67
  2. 35
  3. 187
Show answer

67 The result is 67.

Check 5

A line of best fit passes through (0, 40) and (4, 32). What is its gradient?

  1. -2
  2. -8
  3. -0.5
Show answer

-2 The result is -2.

Check 6

The equation of a line of best fit is y = 5x + 16. Use it to estimate y when x = 20.

  1. 116
  2. 100
  3. 41
Show answer

116 The result is 116.

Check 7

A line of best fit passes through (30, 30) and (40, 50). Use the line to estimate y when x = 33.

  1. 36
  2. 30
  3. 96
Show answer

36 The result is 36.

Check 8

A line of best fit passes through (2, 25) and (5, 40). What is its gradient?

  1. 5
  2. 15
  3. 0.2
Show answer

5 The result is 5.

Check 9

The equation of a line of best fit is y = 2x + 19. Use it to estimate y when x = 27.

  1. 73
  2. 54
  3. 48
Show answer

73 The result is 73.

Check 10

A line of best fit passes through (30, 75) and (40, 55). Use the line to estimate y when x = 35.

  1. 65
  2. 75
  3. 5
Show answer

65 The result is 65.

Check 11

A line of best fit passes through (0, 20) and (2, 22). What is its gradient?

  1. 1
  2. 3
  3. 11
Show answer

1 The result is 1.

Check 12

The equation of a line of best fit is y = 3x + 4. Use it to estimate y when x = 8.

  1. 28
  2. 24
  3. 15
Show answer

28 The result is 28.

Check 13

A line of best fit passes through (30, 20) and (40, 60). Use the line to estimate y when x = 37.

  1. 48
  2. 20
  3. 168
Show answer

48 The result is 48.

Check 14

A line of best fit passes through (2, 15) and (8, 33). What is its gradient?

  1. 3
  2. 18
  3. 0.33
Show answer

3 The result is 3.

Check 15

The equation of a line of best fit is y = 4x + 7. Use it to estimate y when x = 15.

  1. 67
  2. 60
  3. 26
Show answer

67 The result is 67.

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