Simultaneous Equations – Linear & Non-Linear Graphically – Higher – GCSE Questions 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 a variety of sizes.

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GCSE GCSE Edexcel Higher: June 2018 Paper 2, Q16 (a) On the grid, draw the graph of x2 + y2 = 20.25 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y y 6 6 4 4 2 2 -6 -4 -2 O 2 4 6 -6 -4 -2 O 2 4 6 x x -2 -2 -4 -4 -6 -6 (2) (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (3) (3) (Total for Question 1 is 5 marks) (Total for Question 1 is 5 marks)

GCSE Edexcel Higher: June 2018 Paper 2, Q16 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 4 2 -6 -4 -2 O 2 4 6 x -2 -4 -6 (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 (3) (Total for Question 1 is 5 marks)

𝑥=0 𝑦=0 𝑦2= 20.25 𝑥2= 20.25 𝑦=4.5 𝑥=4.5 GCSE 𝑥 = 2.3 𝑦 = -3.8 Edexcel Higher: June 2018 Paper 2, Q16 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 4 2 -6 -4 -2 O 2 4 6 x -2 -4 𝑥=0 𝑦2= 20.25 𝑦=4.5 𝑦=0 𝑥2= 20.25 𝑥=4.5 -6 (2) (b) Hence find estimates for the solutions of the simultaneous equations x2 + y2 = 20.25 3x + y = 3 𝑥 = 2.3 𝑦 = -3.8 𝑥 = -0.5 𝑦 = 4.5 (3) (Total for Question 1 is 5 marks)

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