Quadratic Equations – Mixed – Higher – GCSE Questions – AQA

Quadratic Equations – 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 clonequestions 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 3, Q26 AQA Higher: June 2017 Paper 3, Q26 1 Here is an L-shape. All dimensions are in centimetres. 1 Here is an L-shape. All dimensions are in centimetres. Not drawn accurately Not drawn accurately 9 9 10 10 The area of the L-shape is 65 cm2 Work out the value of The area of the L-shape is 65 cm2 Work out the value of [6 marks] [6 marks] Answer Answer

AQA Higher: November 2017 Paper 2, Q19 AQA Higher: November 2017 Paper 2, Q19 1 The width and length of a rectangle are in the ratio 3:5 The area of the rectangle is 3375 cm2 1 The width and length of a rectangle are in the ratio 3:5 The area of the rectangle is 3375 cm2 Not drawn accurately Not drawn accurately [3 marks] [3 marks] Work out the width of the rectangle. Work out the width of the rectangle. Answer cm Answer cm AQA Higher: November 2017 Paper 2, Q19 AQA Higher: November 2017 Paper 2, Q19 1 The width and length of a rectangle are in the ratio 3:5 The area of the rectangle is 3375 cm2 1 The width and length of a rectangle are in the ratio 3:5 The area of the rectangle is 3375 cm2 Not drawn accurately Not drawn accurately [3 marks] [3 marks] Work out the width of the rectangle. Work out the width of the rectangle. Answer cm Answer cm

AQA Higher: May 2018 Paper 1, Q27 AQA Higher: May 2018 Paper 1, Q27 1 (a) Jo wants to work out the solutions of She says, ‘‘The solutions cannot be worked out because does not factorise to where and are integers.’’ Is Jo correct? Tick a box. 1 (a) Jo wants to work out the solutions of She says, ‘‘The solutions cannot be worked out because does not factorise to where and are integers.’’ Is Jo correct? Tick a box. [1 mark] [1 mark] Give a reason for your answer. Give a reason for your answer. Yes No No Yes 1 (b) Without expanding any brackets, show how to work out the exact solutions of Give the solutions. 1 (b) Without expanding any brackets, show how to work out the exact solutions of Give the solutions. [3 marks [3 marks

AQA Higher: November 2017 Paper 1, Q18 AQA Higher: November 2017 Paper 1, Q18 1 Circle the two roots of 1 Circle the two roots of [1 mark] [1 mark] 2 Circle the two roots of 2 Circle the two roots of [1 mark] [1 mark] AQA Higher: November 2017 Paper 1, Q18 AQA Higher: November 2017 Paper 1, Q18 1 Circle the two roots of 1 Circle the two roots of [1 mark] [1 mark] 2 Circle the two roots of 2 Circle the two roots of [1 mark] [1 mark]

AQA Higher: June 2018 Paper 2, Q26 AQA Higher: June 2018 Paper 2, Q26 1 A curve has equation A line has equation Show that the curve and the line have exactly one point of intersection. Do not use a graphical method. 1 A curve has equation A line has equation Show that the curve and the line have exactly one point of intersection. Do not use a graphical method. [4 marks] [4 marks]

AQA Higher: June 2017 Paper 3, Q26 1 Here is an L-shape. All dimensions are in centimetres. Not drawn accurately 9 10 The area of the L-shape is 65 cm2 Work out the value of [6 marks] Answer

AQA Higher: May 2018 Paper 1, Q27 1 (a) Jo wants to work out the solutions of She says, ‘‘The solutions cannot be worked out because does not factorise to where and are integers.’’ Is Jo correct? Tick a box. [1 mark] Give a reason for your answer. Yes No 1 (b) Without expanding any brackets, show how to work out the exact solutions of Give the solutions. [3 marks

AQA Higher: June 2018 Paper 2, Q26 1 A curve has equation A line has equation Show that the curve and the line have exactly one point of intersection. Do not use a graphical method. [4 marks]

AQA Higher: June 2017 Paper 3, Q26 1 Here is an L-shape. All dimensions are in centimetres. Not drawn accurately 9 10 The area of the L-shape is 65 cm2 Work out the value of [6 marks] Total Area: Answer

AQA Higher: May 2018 Paper 1, Q27 1 (a) Jo wants to work out the solutions of She says, ‘‘The solutions cannot be worked out because does not factorise to where and are integers.’’ Is Jo correct? Tick a box. [1 mark] Give a reason for your answer. Yes No Could use quadratic formula. 1 (b) Without expanding any brackets, show how to work out the exact solutions of Give the solutions. [3 marks

AQA Higher: June 2018 Paper 2, Q26 1 A curve has equation A line has equation Show that the curve and the line have exactly one point of intersection. Do not use a graphical method. [4 marks] Brackets are the same, so one solution. OR

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Quadratic Equations – Mixed – Higher – GCSE Questions – AQA