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GCSE Circle Equations Practice Sheets

Brush up on circle equations with these GCSE practice questions in the same format as past exams. Print handouts easily for study sessions.

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GCSE Circle Equations Practice Sheets

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  1. Circle – Equation – 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 clonequestions using different numbers. The worksheets are provided in a variety of sizes.

  2. 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’.

  3. Edexcel Higher: June 2017 Paper 3, Q20 Edexcel Higher: June 2017 Paper 3, Q20 1 The equation of a curve is y = ax A is the point where the curve intersects the y-axis. (a) State the coordinates of A. 1 The equation of a curve is y = ax A is the point where the curve intersects the y-axis. (a) State the coordinates of A. GCSE GCSE ( , ) ( , ) (1) (1) The equation of circle C is x2 + y2 = 16 The circle C is translated by the vector to give circle B. (b) Draw a sketch of circle B. Label with coordinates the centre of circle B and any points of intersection with the x-axis. The equation of circle C is x2 + y2 = 16 The circle C is translated by the vector to give circle B. (b) Draw a sketch of circle B. Label with coordinates the centre of circle B and any points of intersection with the x-axis. (Total for Question 1 is 4 marks) (Total for Question 1 is 4 marks)

  4. Edexcel Higher: June 2018 Paper 2, Q16 Edexcel Higher: June 2018 Paper 2, Q16 1 (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 GCSE GCSE 4 4 2 2 O -6 -4 -2 2 4 6 O -6 -4 -2 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)

  5. Edexcel Higher: June 2017 Paper 3, Q20 1 The equation of a curve is y = ax A is the point where the curve intersects the y-axis. (a) State the coordinates of A. GCSE ( , ) (1) The equation of circle C is x2 + y2 = 16 The circle C is translated by the vector to give circle B. (b) Draw a sketch of circle B. Label with coordinates the centre of circle B and any points of intersection with the x-axis. (Total for Question 1 is 4 marks)

  6. Edexcel Higher: June 2018 Paper 2, Q16 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 GCSE 4 2 O -6 -4 -2 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)

  7. Edexcel Higher: June 2017 Paper 3, Q20 1 The equation of a curve is y = ax A is the point where the curve intersects the y-axis. (a) State the coordinates of A. GCSE y = a0 = 1 0 1 x = 0 ( , ) (1) Radius = 4 The equation of circle C is x2 + y2 = 16 The circle C is translated by the vector to give circle B. (b) Draw a sketch of circle B. Label with coordinates the centre of circle B and any points of intersection with the x-axis. (1, 0) (9, 0) (4, 0) (-4, 0) (5, 0) (3) (Total for Question 1 is 4 marks)

  8. Edexcel Higher: June 2018 Paper 2, Q16 1 (a) On the grid, draw the graph of x2 + y2 = 20.25 y 6 GCSE 4 2 O -6 -4 -2 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 = 2.3 = -3.8 = -0.5 = 4.5 (3) (Total for Question 1 is 5 marks)

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

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