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Circles centred at the origin: AQA Level 2 Further Maths questions

Every AQA Level 2 Further Maths exam question on 3.7 Circles centred at the origin, 2021–2025, with its mark scheme and examiner’s report.

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259 questions

  1. Q2

    June 2025 · Paper 2

    The whole paper ↗
  2. Q8

    June 2023 · Paper 1

    The whole paper ↗
  3. Q4

    November 2021 · Paper 2

    The whole paper ↗
  4. Q2

    Specimen · Paper 2

    The whole paper ↗
All 5 questions on Circles centred at the origin, as a list
  1. June 2025, Paper 2, Q2 (4 marks): C and E are points on the circle with equation x2 + y2 = 144 CD is a straight line. OD : DE = 5 : 1 Work out the shaded area. Give your answer as a decimal. Ans
  2. June 2024, Paper 1, Q6 (3 marks): Points A (–12, 1) and B (12, –1) lie on a circle. AB is a diameter of the circle. Work out the equation of the circle. Answer
  3. June 2023, Paper 1, Q8 (6 marks): A circle has centre (0, 0) and radius 5 A straight line has equation 2y = x + 5 Work out the coordinates of the two points where the circle and straight line in
  4. November 2021, Paper 2, Q4 (3 marks): The equations of the two circles shown are x2 + y2 = 100 and x2 + y2 = 36 Work out the shaded area. Give your answer as an integer multiple of π. Answer units2
  5. Specimen, Paper 2, Q2 (2 marks): A circle, centre (0, 0) has circumference 20π Work out the equation of the circle. Answer

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