1. Angles – Polygons – Mixed – 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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To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. AQA Higher: June 2018 Paper 3, Q4 AQA Higher: June 2018 Paper 3, Q4
22.5° 1
[1 mark]
What is the size of an exterior angle of a regular octagon?
Circle your answer.
135°
40°
45°
22.5° 1
[1 mark]
What is the size of an exterior angle of a regular octagon?
Circle your answer.
135°
40°
45°
140° 2
[1 mark]
What is the size of an interior angle of a regular decagon?
Circle your answer.
135°
144°
36°
140° 2
[1 mark]
What is the size of an interior angle of a regular decagon?
Circle your answer.
135°
144°
36°
AQA Higher: June 2018 Paper 3, Q4
AQA Higher: June 2018 Paper 3, Q4
22.5° 1
[1 mark]
What is the size of an exterior angle of a regular octagon?
Circle your answer.
135°
40°
45°
22.5° 1
[1 mark]
What is the size of an exterior angle of a regular octagon?
Circle your answer.
135°
40°
45°
140° 2
[1 mark]
What is the size of an interior angle of a regular decagon?
Circle your answer.
135°
144°
36°
140° 2
[1 mark]
What is the size of an interior angle of a regular decagon?
Circle your answer.
135°
144°
36°

5. 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

7. 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

10. 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

13. 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

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