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WJEC GCSE Maths

Topic questions Pure mathematics Parallel & perpendicular lines

Parallel & perpendicular lines

8 questions · 26 marks · about 35 minutes

Parallel and perpendicular lines questions

TopicParallel & perpendicular lines

WJEC 3300 Parallel and perpendicular lines 8 questions

Unit 1: Non-calculator June 2025 Intermediate tier, Question 16, also on the Higher paper 3 marks

The diagram below shows the graph of a straight line for values of x from –2 to 2.

Figure for question 16
(a)

Write down the gradient of the straight line in the diagram.

[1]
Reveal mark scheme Mark scheme for question 16(a)
(b)

Write down the equation of the straight line in the form y = mx + c, where m and c are

whole numbers.

[1]
Reveal mark scheme Mark scheme for question 16(b)
(c)

Write down the equation of a different straight line that is parallel to the straight line in

the diagram.

[1]
Reveal mark scheme Mark scheme for question 16(c)

Unit 1: Non-calculator June 2025 Higher tier, Question 5, also on the Intermediate paper 3 marks

The diagram below shows the graph of a straight line for values of x from –2 to 2.

Figure for question 5
(a)

Write down the gradient of the straight line in the diagram.

[1]
Reveal mark scheme Mark scheme for question 5(a)
(b)

Write down the equation of the straight line in the form y = mx + c, where m and c are

whole numbers.

[1]
Reveal mark scheme Mark scheme for question 5(b)
(c)

Write down the equation of a different straight line that is parallel to the straight line in

the diagram.

[1]
Reveal mark scheme Mark scheme for question 5(c)

Unit 1: Non-calculator November 2022 Intermediate tier, Question 18, also on the Higher paper 5 marks

Also involves Rearranging formulae

The diagram below shows the graph of a straight line for values of x from –1 to 3.

Figure for question 18
(a)
(a)(i)

Write down the gradient of the line above.

[1]
Reveal mark scheme Mark scheme for question 18(a)(i)
(a)(ii)

Write down the equation of the line in the form y maths symbol mx maths symbol c.

[2]
Reveal mark scheme Mark scheme for question 18(a)(ii)
(b)

Show that the lines

y = 3 x − 8 and 2 y − 6 x = 23

are parallel to each other.

[2]
Reveal mark scheme Mark scheme for question 18(b)

Unit 1: Non-calculator November 2022 Higher tier, Question 5, also on the Intermediate paper 5 marks

The diagram below shows the graph of a straight line for values of x from –1 to 3.

Figure for question 5
(a)
Reveal mark scheme Mark scheme for question 5(a)
(a)(i)

Write down the gradient of the line above.

[1]
Reveal mark scheme Mark scheme for question 5(a)(i)
(a)(ii)

Write down the equation of the line in the form y maths symbol mx maths symbol c.

[2]
Reveal mark scheme Mark scheme for question 5(a)(ii)
(b)

Show that the lines

y = 3 x − 8 and 2 y − 6 x = 23

are parallel to each other.

[2]
Reveal mark scheme Mark scheme for question 5(b)

Unit 2: Calculator-allowed June 2017 Intermediate tier, Question 19, also on the Higher paper 2 marks

(a)
Figure for question 19
[1]
Reveal mark scheme Mark scheme for question 19(a)
(b)

Circle the equation of a straight line that is perpendicular to the line y = 5x − 3.

Question 19, shown as an image
[1]
Reveal mark scheme Mark scheme for question 19(b)

Unit 2: Calculator-allowed June 2017 Higher tier, Question 9, also on the Intermediate paper 2 marks

(a)
Figure for question 9
[1]
Reveal mark scheme Mark scheme for question 9(a)
(b)

Circle the equation of a straight line that is perpendicular to the line y = 5x − 3.

Question 9, shown as an image
[1]
Reveal mark scheme Mark scheme for question 9(b)

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