1. Angles – Parallel Lines – Higher – GCSE Questions – AQA
These questions are the same format as previous GCSE exams.
COPY means they use the exact same numbers as the original GCSE question.
Otherwise, they are clone questions using different numbers.
The worksheets are provided in 2 sizes.

2. Printing To print handouts from slides -
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3. AQA Higher: November 2017 Paper 3, Q8
ABCD is a parallelogram.
AE = AC 1
ABCD is a parallelogram.
AE = AC
Not drawn
accurately
Not drawn
accurately A E B A E B 𝑥 𝑥
148.5°
148.5° 5𝑥 5𝑥 C D C D
Work out the size of angle 𝑥.
Work out the size of angle 𝑥.
[4 marks]
[4 marks]
Answer
degrees
Answer
degrees

5. AQA Higher: November 2017 Paper 1, Q19
The diagram shows a triangle and a trapezium. 1
The diagram shows a triangle and a trapezium.
[3 marks]
[3 marks]
115°
Prove that 𝑎 = 𝑏 𝑎
Prove that 𝑎 = 𝑏 𝑎
115°
65°
65° 𝑐 𝑐 𝑏 𝑏
AQA Higher: November 2017 Paper 1, Q19
AQA Higher: November 2017 Paper 1, Q19 1
The diagram shows a triangle and a trapezium. 1
The diagram shows a triangle and a trapezium.
[3 marks]
[3 marks]
Prove that 𝑎 = 𝑏 𝑎
115° 𝑎
115°
Prove that 𝑎 = 𝑏
65°
65° 𝑐 𝑐 𝑏 𝑏

7. AQA Higher: June 2017 Paper 3, Q10 AQA Higher: June 2017 Paper 3, Q10
AF, BC and DF are straight lines. 1
AF, BC and DF are straight lines. D D B B A 𝑤 A 𝑤 𝑧 F F
8𝑥−20°
8𝑥−20° 𝑧
4𝑥+60°
4𝑥+60° C C E E
1 (a)
Josh assumes that BC and DE are parallel.
What answer should she get for the size of angle 𝑧?
1 (a)
Josh assumes that BC and DE are parallel.
What answer should she get for the size of angle 𝑧?
[4 marks]
[4 marks]
Answer
degrees
Answer
degrees
1 (b)
In fact,
AB and CD are not parallel
angle 𝑤 is 130°
What effect does this have on the size of angle 𝑧? Tick a box.
1 (b)
In fact,
AB and CD are not parallel
angle 𝑤 is 130°
What effect does this have on the size of angle 𝑧? Tick a box.
𝑧 is bigger
𝑧 is the same
𝑧 is smaller
𝑧 is bigger
𝑧 is the same
𝑧 is smaller
Show working to support your answer.
Show working to support your answer.
[3 marks]
[3 marks]

9. AQA Higher: November 2017 Paper 3, Q8
ABCD is a parallelogram.
AE = AC
Not drawn
accurately A E B 𝑥
148.5° 5𝑥 C D
Work out the size of angle 𝑥.
[4 marks]
Answer
degrees

11. AQA Higher: June 2017 Paper 3, Q10
AF, BC and DF are straight lines. D B A 𝑤 F
8𝑥−20° 𝑧
4𝑥+60° C E
1 (a)
Josh assumes that BC and DE are parallel.
What answer should she get for the size of angle 𝑧?
[4 marks]
Answer
degrees
1 (b)
In fact,
AB and CD are not parallel
angle 𝑤 is 130°
What effect does this have on the size of angle 𝑧? Tick a box.
𝑧 is bigger
𝑧 is the same
𝑧 is smaller
Show working to support your answer.
[3 marks]

12. AQA Higher: November 2017 Paper 3, Q8
ABCD is a parallelogram.
AE = AC
Not drawn
accurately
31.5° A E B
117° 𝑥
148.5° 5𝑥
31.5° C D
Work out the size of angle 𝑥.
[4 marks]
AEC = 180 – = 31.5
ACE = 31.5
CAE = 180 – (2 × 31.5) = 117
CAE + ABD = 180 (co-interior angles total 180°)
ABD = 180 – 117 = 63
6𝑥 = 63
𝑥 = 63 ÷ 6 = 10.5
10.5
Answer
degrees

14. AQA Higher: June 2017 Paper 3, Q10
AF, BC and DF are straight lines. D B A 𝑤 F
8𝑥−20° 𝑧
4𝑥+60° C E
1 (a)
Josh assumes that BC and DE are parallel.
What answer should she get for the size of angle 𝑧?
[4 marks]
8𝑥−20=4𝑥+60
4𝑥+60=
4𝑥−20=60
=140
4𝑥=80
𝑥=20
180 −140=40 40
Answer
degrees
1 (b)
In fact,
AB and CD are not parallel
angle 𝑤 is 130°
What effect does this have on the size of angle 𝑧? Tick a box.
𝑧 is bigger
𝑧 is the same
𝑧 is smaller
Show working to support your answer.
[3 marks]
8𝑥−20 = 140
4𝑥+60°
must be smaller
140>130 𝑤
𝑧 must be bigger
𝑥 must be smaller

15. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
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