Vectors – Proofs – 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: June 2017 Paper 2, Q23 AQA Higher: June 2017 Paper 2, Q23 C Not drawn accurately C Not drawn accurately 4a − b 4a − b 5a − 3b 5a − 3b D D B 4b − 8a B 4b − 8a Is ACD a straight line? Show working to support your answer. Is ACD a straight line? Show working to support your answer. [3 marks] [3 marks] Answer Answer

AQA Higher: November 2017 Paper 2, Q26 ABCDE is a pentagon. 1 ABCDE is a pentagon. B a C B a C A 2b A 2b b − 2a b − 2a D D 3a − 3b 3a − 3b Not drawn accurately Not drawn accurately E E Show that ABDE is a parallelogram Show that ABDE is a parallelogram [3 marks] [3 marks]

AQA Higher: June 2017 Paper 2, Q23 C Not drawn accurately 4a − b 5a − 3b D B 4b − 8a Is ACD a straight line? Show working to support your answer. [3 marks] Answer

AQA Higher: November 2017 Paper 2, Q26 ABCDE is a pentagon. B a C A 2b b − 2a D 3a − 3b Not drawn accurately E Show that ABDE is a parallelogram [3 marks]

Are AC and CD parallel? AC = 4a – b – (5a – 3b) = 4a – b – 5a + 3b AQA Higher: June 2017 Paper 2, Q23 1 A C Not drawn accurately 4a − b 5a − 3b D B 4b − 8a Is ACD a straight line? Show working to support your answer. [3 marks] Are AC and CD parallel? AC = 4a – b – (5a – 3b) = 4a – b – 5a + 3b = 2b – a AC × 3 = 6b – 3a CD = 5a – 3b + (4b – 8a) = 5a – 3b + 4b – 8a = 6b – 3a 3(AC) = CD Yes, they are parallel. ACD is a straight line. Answer

AB = (b − 2a) + (2b) + (−a) = 3b − 3a AQA Higher: November 2017 Paper 2, Q26 1 ABCDE is a pentagon. B a C A 2b b − 2a D 3a − 3b Not drawn accurately E AB = ED AE = BD Show that ABDE is a parallelogram [3 marks] AB = (b − 2a) + (2b) + (−a) = 3b − 3a ED = −(3a − 3b) = 3b-3a So, AB = ED Parallel BD = (a) + (−2b) = a − 2b AE = (b − 2a) + (3a − 3b) = a − 2b So, BD = AE Parallel

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