1. These questions are the same format as previous GCSE exams.
Circle Theorems – Cyclic Quadrilaterals – 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 -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
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: November 2017 Paper 1, Q24
Here is a cyclic quadrilateral. 1
Here is a cyclic quadrilateral.
Not drawn
accurately
Not drawn
accurately 𝑥 𝑥
𝑥 + 70°
𝑥 + 70° 𝑦 𝑤 𝑦 𝑤
𝑥 : 𝑦 = 4 : 11
Work out the size of angle 𝑤
𝑥 : 𝑦 = 4 : 11
Work out the size of angle 𝑤
[4 marks]
[4 marks]
Answer
degrees
Answer
degrees

5. AQA Higher: November 2017 Paper 1, Q24
Here is a cyclic quadrilateral.
Not drawn
accurately 𝑥
𝑥 + 70° 𝑦 𝑤
𝑥 : 𝑦 = 4 : 11
Work out the size of angle 𝑤
[4 marks]
Answer
degrees

6. 𝑥 + 𝑦 = 180° 4 :11 = 15 parts (4 × 11°) : (11 × 11°) 44 : 121
AQA Higher: November 2017 Paper 1, Q24 1
Here is a cyclic quadrilateral.
Not drawn
accurately 𝑥
𝑥 + 70° 𝑦 𝑤
𝑥 : 𝑦 = 4 : 11
Work out the size of angle 𝑤
𝑥 + 𝑦 = 180°
[4 marks]
180 ÷ 15 parts
= 12° per part
4 :11 = 15 parts
(4 × 11°) : (11 × 11°)
44 : 121
𝑥 + 70 = 114°
180 – 114 = 66°
𝑥 = 44°
66°
Answer
degrees

7. tom@goteachmaths.co.uk Questions? Comments? Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
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