Vectors Proofs Higher GCSE Questions AQA These questions

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.

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’.

AQA Higher: June 2017 Paper 2, Q 23 1 A C 4 a − b A C Not drawn accurately 4 a − b 5 a − 3 b Not drawn accurately 5 a − 3 b D B B 4 b − 8 a Is ACD a straight line? Show working to support your answer. Answer D 4 b − 8 a Is ACD a straight line? [3 marks] Show working to support your answer. Answer [3 marks]

AQA Higher: November 2017 Paper 2, Q 26 1 AQA Higher: November 2017 Paper 2, Q 26 ABCDE is a pentagon. 1 a B ABCDE is a pentagon. C A a B C A 2 b 2 b b − 2 a D 3 a − 3 b E D Not drawn accurately Show that ABDE is a parallelogram 3 a − 3 b E Not drawn accurately Show that ABDE is a parallelogram [3 marks]

AQA Higher: June 2017 Paper 2, Q 23 1 A C 4 a − b Not drawn accurately 5 a − 3 b D B 4 b − 8 a Is ACD a straight line? Show working to support your answer. Answer [3 marks]

AQA Higher: November 2017 Paper 2, Q 26 1 ABCDE is a pentagon. a B C A 2 b b − 2 a D 3 a − 3 b E Not drawn accurately Show that ABDE is a parallelogram [3 marks]

AQA Higher: June 2017 Paper 2, Q 23 1 A C 4 a − b Not drawn accurately 5 a − 3 b D B 4 b − 8 a Is ACD a straight line? Show working to support your answer. [3 marks] Are AC and CD parallel? AC = 4 a – b – (5 a – 3 b) = 4 a – b – 5 a + 3 b = 2 b – a AC × 3 = 6 b – 3 a 3(AC) = CD CD = 5 a – 3 b + (4 b – 8 a) = 5 a – 3 b + 4 b – 8 a = 6 b – 3 a Yes, they are parallel. ACD is a straight line. Answer

AQA Higher: November 2017 Paper 2, Q 26 1 ABCDE is a pentagon. a B C A 2 b b − 2 a D 3 a − 3 b E Show that ABDE is a parallelogram AB = ED AE = BD AB = (b − 2 a) + (2 b) + (−a) = 3 b − 3 a ED = −(3 a − 3 b) = 3 b-3 a So, AB = ED Parallel BD = (a) + (− 2 b) = a − 2 b AE = (b − 2 a) + (3 a − 3 b) = a − 2 b So, BD = AE Parallel Not drawn accurately [3 marks]

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