plumiIteration: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.09.2 Iteration, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 9 questions on Iteration, as a list
- June 2025, Paper 3, Q5 (14 marks): (a) Use the substitution u cos x to show that = 1 cos x x + y d ln ( 1 cos x ) c . [4] = - + sin x Fig. 1 y x a O 1 cos x + Fig. 1 shows part of the curve y . =
- June 2024, Paper 3, Q5 (13 marks): y x O M ^ h 3 2 y x x x The diagram shows the curve with equation 2 ln . The curve has a point of inflection = - at the point M. (a) (i) Show that the x-coordin
- June 2023, Paper 1, Q10 (9 marks): f(x) x 0 1 2 3 4 ex The diagram shows part of the curve ( )x + . The equation ( )x f 2 f 0 has a positive root = = 2 4 x 1 - a close to x = 0.3. (a) Explain why
- June 2023, Paper 3, Q7 (12 marks): 7 A car C is moving horizontally in a straight line with velocity ms v - at time t seconds, where - , of C is modelled by the equation 2 v 0 and t 0 . The accel
- June 2022, Paper 1, Q10 (12 marks): B irad O A M The diagram shows a sector OAB of a circle with centre O and radius OA. The angle AOB is i radians. M is the mid-point of OA. The ratio of areas OM
- June 2022, Paper 3, Q5 (14 marks): In this question you must show detailed reasoning. y x O P x 2 3 - The diagram shows the curve with equation y . The tangent to the curve at the point P = 2 4 x
- November 2021, Paper 3, Q6 (6 marks): 6 The equation 6 arcsin ( 2 x 1 ) x 0 has exactly one real root. - - = (a) Show by calculation that the root lies between 0.5 and 0.6. [2] In order to find the
- November 2020, Paper 1, Q7 (11 marks): Two students, Anna and Ben, are starting a revision programme. They will both revise for 30 minutes on Day 1. Anna will increase her revision time by 15 minutes
- June 2019, Paper 1, Q10 (11 marks): A i rad O 6cm B The diagram shows a sector AOB of a circle with centre O and radius 6 cm. The angle AOB is i radians. The area of the segment bounded by the cho
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