plumiEquation of a circle and tangents: AQA GCSE Maths questions
Every AQA GCSE Maths exam question on A16 Equation of a circle and tangents, 2017–2025, with its mark scheme and examiner’s report.
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All 18 questions on Equation of a circle and tangents, as a list
- June 2025, Paper 2H, Q21 (5 marks): A circle with centre O and radius 45 has a tangent drawn at point P(6, –3) Not drawn accurately 21 (a) Write down the equation of the circle. Answer 21 (b) Work
- November 2024, Paper 1H, Q17 (6 marks): (a) A circle has centre (0, 0) and circumference 36π Work out the equation of the circle. Answer 17 (b) Point J has coordinates (15, 0) and point K has coordina
- June 2024, Paper 1H, Q18 (1 mark): A circle has centre O and passes through (0, 6) Write down the equation of the circle. Answer
- November 2022, Paper 1H, Q22 (5 marks): (4, 8) is a point on a circle, centre O. The tangent at (4, 8) intersects the x-axis at P. Work out the x-coordinate of P. Not drawn accurately Answer
- November 2022, Paper 3H, Q19 (1 mark): A circle has centre (0, 0) and passes through (0, 11) Write down the equation of the circle. Answer
- June 2022, Paper 2H, Q21 (1 mark): Which of these is the equation of a circle? Circle your answer. x2 – y2 = 6 x2 + y2 = 6 y = x2 – 6 y = x2 + 6
- November 2021, Paper 3H, Q19 (1 mark): The equation of a circle is x2 + y2 = 11 Work out the length of the diameter. Circle your answer. 11 2 11 22 22
- November 2020, Paper 3H, Q25 (1 mark): The equation of a circle is x2 + y2 = 9 Work out the length of the diameter. Circle your answer. 3 6 9 18
- November 2019, Paper 3H, Q20 (1 mark): P (–1, 1) is a point on the circle, centre O, radius r. Not drawn accurately Work out the value of r. Circle your answer. 1 2 2 2 2
- June 2019, Paper 1H, Q25 (6 marks): P (4, 8) is a point on a circle, centre O. The tangent at P intersects the axes at points A and B. Not drawn accurately 25 (a) Show that the gradient of the tan
- June 2019, Paper 3H, Q27 (5 marks): In this question, all lengths are in centimetres. A is a point on a circle, centre O. B is a point on a different circle, centre O. AB = 20 The equation of the
- November 2018, Paper 3H, Q27 (8 marks): The line y = 3x + p and the circle x2 + y2 = 53 intersect at points A and B. p is a positive integer. 27 (a) Show that the x-coordinates of points A and B satis
- June 2018, Paper 2H, Q22 (1 mark): A circle, centre O, passes through (5, 0). What is the equation of the circle? Circle your answer. x2 + y2 = 25 x2 + y2 = 5 x2 + y2 = 10 x2 + y2 = 100
- June 2018, Paper 3H, Q28 (5 marks): P is a point on the circle with equation x2 + y2 = 80 P has x-coordinate 4 and is below the x-axis. Work out the equation of the tangent to the circle at P. Not
- November 2017, Paper 1H, Q28 (7 marks): A, B and C are points on the circle x2 + y2 = 36 as shown. A is on the y-axis. B is on the x-axis. M is the midpoint of AB. COM is a straight line. 28 (a) Show
- June 2017, Paper 1H, Q20 (1 mark): Work out the diameter of the circle x2 + y2 = 64 Circle your answer. 8 16 32 128
- June 2017, Paper 1H, Q27 (4 marks): P (–1, 4) is a point on a circle, centre O Not drawn accurately Work out the equation of the tangent to the circle at P. Give your answer in the form y = mx + c
- Specimen, Paper 1H, Q28 (5 marks): The diagram shows the circle x 2 + y 2 = 10 P lies on the circle and has x-coordinate 1 The tangent at P intersects the x-axis at Q. Work out the coordinates of
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