Circle Theorems Mixed Higher GCSE Questions AQA These

Circle Theorems – 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.

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AQA Higher: November 2017 Paper 3, Q 19 1 A, B and C are points on a circle. DA is a tangent to the circle. AQA Higher: November 2017 Paper 3, Q 19 1 B A 88° Not drawn accurately A, B and C are points on a circle. DA is a tangent to the circle. 44° B A 88° Not drawn accurately 48° 44° 48° D D C C [2 marks] Answer [2 marks] degrees Answer Reason AQA Higher: November 2017 Paper 3, Q 19 1 degrees A, B and C are points on a circle. DA is a tangent to the circle. AQA Higher: November 2017 Paper 3, Q 19 1 B A 88° Not drawn accurately A, B and C are points on a circle. DA is a tangent to the circle. 44° 88° Not drawn accurately 48° D C C [2 marks] Reason 44° 48° D Answer B A degrees [2 marks] Answer Reason degrees

AQA Higher: June 2018 Paper 3, Q 22 1 A, B and C are points on a circle. DCB is a straight line. PAQ is a tangent to the circle. AQA Higher: June 2018 Paper 3, Q 22 Not drawn accurately B 1 A, B and C are points on a circle. DCB is a straight line. PAQ is a tangent to the circle. Not drawn accurately Q B C Q C D D 56° A A P Make a criticism of his working. P [1 mark] Make a criticism of his working. [1 mark]

AQA Higher: June 2017 Paper 2, Q 12 1 AQA Higher: June 2017 Paper 2, Q 12 A, B, C, D, E and F are points on a circle. D C B 78° 1 Not drawn accurately 84° A A, B, C, D, E and F are points on a circle. D C B 78° 84° A 6° 13° F [1 mark] E Circle the line that is a diameter of the circle. DE CE AF BF DE 1 Not drawn accurately 84° CE Not drawn accurately 6° 13° F [1 mark] E Circle the line that is a diameter of the circle. CE BF 84° 6° DE AF A, B, C, D, E and F are points on a circle. D C B 78° A 13° [1 mark] AQA Higher: June 2017 Paper 2, Q 12 A, B, C, D, E and F are points on a circle. D C B 78° A F E Circle the line that is a diameter of the circle. AQA Higher: June 2017 Paper 2, Q 12 1 Not drawn accurately AF BF F [1 mark] E Circle the line that is a diameter of the circle. DE CE AF BF

AQA Higher: June 2017 Paper 3, Q 19 1 AQA Higher: June 2017 Paper 3, Q 19 A, B, C, D and E are points on a circle. AFC and BFE are straight lines. BF = CF 1 Not drawn accurately B A A, B, C, D and E are points on a circle. AFC and BFE are straight lines. BF = CF Not drawn accurately B A F F 42° E E C D [4 marks] Answer

AQA Higher: November 2017 Paper 1, Q 24 1 AQA Higher: November 2017 Paper 1, Q 24 Here is a cyclic quadrilateral. 1 Here is a cyclic quadrilateral. Not drawn accurately [4 marks] Answer degrees

AQA Higher: June 2018 Paper 3, Q 22 1 A, B and C are points on a circle. DCB is a straight line. PAQ is a tangent to the circle. Not drawn accurately B Q C D 56° A P Make a criticism of his working. [1 mark]

AQA Higher: June 2017 Paper 3, Q 19 1 A, B, C, D and E are points on a circle. AFC and BFE are straight lines. BF = CF Not drawn accurately B A F 42° E C D [4 marks] Answer

AQA Higher: November 2017 Paper 1, Q 24 1 Here is a cyclic quadrilateral. Not drawn accurately [4 marks] Answer degrees

AQA Higher: June 2018 Paper 3, Q 22 1 A, B and C are points on a circle. DCB is a straight line. PAQ is a tangent to the circle. Not drawn accurately B Q C D 56° A P Make a criticism of his working. [1 mark] Should be ‘Alternate Segment’ stated

AQA Higher: June 2017 Paper 3, Q 19 1 A, B, C, D and E are points on a circle. AFC and BFE are straight lines. BF = CF Not drawn accurately B A 42° F 96° 42° E C D 180 – (2 × 42°) = 96° Answer [4 marks]

AQA Higher: November 2017 Paper 1, Q 24 1 Here is a cyclic quadrilateral. Not drawn accurately [4 marks] 180 ÷ 15 parts = 12° per part (4 × 11°) : (11 × 11°) 44 : 121 180 – 114 = 66° Answer 66° degrees

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