Linear Equations – Forming & Solving – Higher – GCSE Questions – AQA

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Presentation transcript:

Linear Equations – Forming & Solving – 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: May 2018 Paper 1, Q11 AQA Higher: May 2018 Paper 1, Q11 1 A large rectangle is made by joining three identical small rectangles as shown. 1 A large rectangle is made by joining three identical small rectangles as shown. Not drawn accurately Not drawn accurately The perimeter of one small rectangle is 35 cm Work out the perimeter of the large rectangle. The perimeter of one small rectangle is 35 cm Work out the perimeter of the large rectangle. [4 marks] [4 marks] Answer cm Answer cm

𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 𝑥= 5 𝑦 AQA Higher: November 2017 Paper 1, Q4 AQA Higher: November 2017 Paper 1, Q4 1 𝑥= 5 𝑦 If the value of 𝑦 triples, what happens to the value of 𝑥? Circle your answer. 1 𝑥= 5 𝑦 If the value of 𝑦 triples, what happens to the value of 𝑥? Circle your answer. [1 mark] [1 mark] ÷ 3 × 3 ÷ 5 × 5 ÷ 3 × 3 ÷ 5 × 5 2 𝑥= 5 𝑦 If the value of 𝑦 halves, what happens to the value of 𝑥? Circle your answer. 2 𝑥= 5 𝑦 If the value of 𝑦 halves, what happens to the value of 𝑥? Circle your answer. [1 mark] [1 mark] ÷ 10 × 10 ÷ 2 × 2 ÷ 10 × 10 ÷ 2 × 2 AQA Higher: November 2017 Paper 1, Q4 AQA Higher: November 2017 Paper 1, Q4 1 𝑥= 5 𝑦 If the value of 𝑦 triples, what happens to the value of 𝑥? Circle your answer. 1 𝑥= 5 𝑦 If the value of 𝑦 triples, what happens to the value of 𝑥? Circle your answer. [1 mark] [1 mark] ÷ 3 × 3 ÷ 5 × 5 ÷ 3 × 3 ÷ 5 × 5 2 𝑥= 5 𝑦 If the value of 𝑦 halves, what happens to the value of 𝑥? Circle your answer. 2 𝑥= 5 𝑦 If the value of 𝑦 halves, what happens to the value of 𝑥? Circle your answer. [1 mark] [1 mark] ÷ 10 × 10 ÷ 2 × 2 ÷ 10 × 10 ÷ 2 × 2

2 3 of the males have blonde hair. AQA Higher: May 2017 Paper 1, Q25 AQA Higher: May 2017 Paper 1, Q25 1 In a University class there are twice as many males as females. 2 3 of the males have blonde hair. 5 9 of the females have blonde hair. 80 people in the class have blonde hair. Work out the number of people in the office. 1 In a University class there are twice as many males as females. 2 3 of the males have blonde hair. 5 9 of the females have blonde hair. 80 people in the class have blonde hair. Work out the number of people in the office. [4 marks] [4 marks] Answer Answer

AQA Higher: May 2018 Paper 1, Q11 1 A large rectangle is made by joining three identical small rectangles as shown. Not drawn accurately The perimeter of one small rectangle is 35 cm Work out the perimeter of the large rectangle. [4 marks] Answer cm

2 3 of the males have blonde hair. AQA Higher: May 2017 Paper 1, Q25 1 In a University class there are twice as many males as females. 2 3 of the males have blonde hair. 5 9 of the females have blonde hair. 80 people in the class have blonde hair. Work out the number of people in the office. [4 marks] Answer

3.5 14 cm 14 cm 14 cm 3.5 14 cm 4𝑥 Perimeter 𝑥 = 4𝑥+4𝑥+𝑥+𝑥 = 10𝑥 AQA Higher: May 2018 Paper 1, Q11 1 A large rectangle is made by joining three identical small rectangles as shown. 3.5 14 cm Not drawn accurately 14 cm 14 cm 3.5 14 cm The perimeter of one small rectangle is 35 cm Work out the perimeter of the large rectangle. [4 marks] 4𝑥 Perimeter = 4𝑥+4𝑥+𝑥+𝑥 = 10𝑥 𝑥 10𝑥 = 35 cm 𝑥 = 3.5 cm 14 cm 3.5 14+14+14+14+3.5+3.5 (4 × 14) + (2 × 3.5) 63 Answer cm

Males = 𝑥 2 3 × 𝑥 + 5 9 × 2𝑥 =80 6𝑥 9 + 10𝑥 9 =80 16𝑥 9 =80 16𝑥=720 AQA Higher: May 2017 Paper 1, Q25 1 In a University class there are twice as many males as females. 2 3 of the males have blonde hair. 5 9 of the females have blonde hair. 80 people in the class have blonde hair. Work out the number of people in the office. [4 marks] Males = 𝑥 2 3 × 𝑥 + 5 9 × 2𝑥 =80 6𝑥 9 + 10𝑥 9 =80 16𝑥 9 =80 16𝑥=720 Total Females 45×2=90 𝑥=45 45+90=135 Answer

tom@goteachmaths.co.uk Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths.co.uk