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Iteration: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A20 Iteration, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q24

    June 2025 · Paper 6

    7 marksA20 Iteration
    The whole paper ↗
    June 2025 Paper 6, question 24: (a) Show that the equation x 3 x 2 x 5 0 has a solution between x = 1 and x = 2. + - - = (b) Find this solution correct to 1 decimal place. You must show calcul

  2. Q20

    November 2024 · Paper 4

    8 marksA20 Iteration
    The whole paper ↗
    November 2024 Paper 4, question 20: (a) Show that the equation x 3 x 4 0 has a solution between x 2 and x 3 . - = = = 3 - (b) Use x 2 5 . to find a smaller interval for the solution to x 3 x 4 0 .

  3. Q16

    November 2023 · Paper 6

    6 marksA20 Iteration
    The whole paper ↗
    November 2023 Paper 6, question 16: The graph of y 70 150 is sketched below. x x = - - 5 - The root of the equation x 70 150 0 is p. x - = y p x O (a) Show that 3 1 p 1 4 . (b) Find a smaller inte

  4. Q18

    June 2023 · Paper 4

    7 marksA20 Iteration
    The whole paper ↗
    June 2023 Paper 4, question 18: (a) Show that the equation x 5 0 has a solution between x = 1 and x = 2. x + - = (b) Find this solution correct to 1 decimal place. You must show calculations t

  5. Q13

    June 2022 · Paper 5

    7 marksA20 IterationA18 Quadratic equations
    The whole paper ↗
    June 2022 Paper 5, question 13: The graph of y 6 2 is shown below. x x = + - 2 + The roots of the equation x 6 x 2 0 are at p and q. - = y x p q O (a) (i) Calculate y when x = 1. (a)(i) y = (i

  6. Q15

    November 2021 · Paper 6

    7 marksA20 Iteration
    The whole paper ↗
    November 2021 Paper 6, question 15: (a) Show that the equation x 5 1 0 has a solution between x 2 and x 3 . x - = = = (b) Find this solution correct to 1 decimal place. You must show your working.

  7. Q11

    November 2019 · Paper 6

    8 marksA23 Generating sequencesA20 Iteration
    Mark scheme (PDF)
    The whole paper ↗
    November 2019 Paper 6, question 11: A sequence is defined by the rule u 5 u 15 . 1 = - n n + (a) If u 6 , calculate 3 = (i) u5 (a)(i) u5 = (ii) u2 (ii) u2 = (b) Trevor says If u 1 = 3.75 then u 10

  8. Q20

    June 2019 · Paper 6

    7 marksA20 Iteration
    The whole paper ↗
    June 2019 Paper 6, question 20: (a) Show that the equation x 9 0 has a solution between x = and x 1 2 . x - - = = (b) Find this solution correct to 1 decimal place. Show your working. (b) x =

  9. Q15

    November 2018 · Paper 6

    3 marksA20 Iteration
    The whole paper ↗
    November 2018 Paper 6, question 15: Use the formula x 2 with x 2 to calculate x2 and x3. = + 1 = n 1 30 + Round your answers correct to 4 decimal places. x2 = and x3 =

  10. Q9

    June 2018 · Paper 6

    6 marksA20 IterationA12 Recognising and sketching graphs
    The whole paper ↗
    June 2018 Paper 6, question 9: The root of the equation x3 - 7x - 12 = 0 is p. y x p O (a) Calculate y when x = 3. (a) y = (b) Show that 3 1 p 1 4. (c) Find a smaller interval that contains t
All 10 questions on Iteration, as a list
  1. June 2025, Paper 6, Q24 (7 marks): (a) Show that the equation x 3 x 2 x 5 0 has a solution between x = 1 and x = 2. + - - = (b) Find this solution correct to 1 decimal place. You must show calcul
  2. November 2024, Paper 4, Q20 (8 marks): (a) Show that the equation x 3 x 4 0 has a solution between x 2 and x 3 . - = = = 3 - (b) Use x 2 5 . to find a smaller interval for the solution to x 3 x 4 0 .
  3. November 2023, Paper 6, Q16 (6 marks): The graph of y 70 150 is sketched below. x x = - - 5 - The root of the equation x 70 150 0 is p. x - = y p x O (a) Show that 3 1 p 1 4 . (b) Find a smaller inte
  4. June 2023, Paper 4, Q18 (7 marks): (a) Show that the equation x 5 0 has a solution between x = 1 and x = 2. x + - = (b) Find this solution correct to 1 decimal place. You must show calculations t
  5. June 2022, Paper 5, Q13 (7 marks): The graph of y 6 2 is shown below. x x = + - 2 + The roots of the equation x 6 x 2 0 are at p and q. - = y x p q O (a) (i) Calculate y when x = 1. (a)(i) y = (i
  6. November 2021, Paper 6, Q15 (7 marks): (a) Show that the equation x 5 1 0 has a solution between x 2 and x 3 . x - = = = (b) Find this solution correct to 1 decimal place. You must show your working.
  7. November 2019, Paper 6, Q11 (8 marks): A sequence is defined by the rule u 5 u 15 . 1 = - n n + (a) If u 6 , calculate 3 = (i) u5 (a)(i) u5 = (ii) u2 (ii) u2 = (b) Trevor says If u 1 = 3.75 then u 10
  8. June 2019, Paper 6, Q20 (7 marks): (a) Show that the equation x 9 0 has a solution between x = and x 1 2 . x - - = = (b) Find this solution correct to 1 decimal place. Show your working. (b) x =
  9. November 2018, Paper 6, Q15 (3 marks): Use the formula x 2 with x 2 to calculate x2 and x3. = + 1 = n 1 30 + Round your answers correct to 4 decimal places. x2 = and x3 =
  10. June 2018, Paper 6, Q9 (6 marks): The root of the equation x3 - 7x - 12 = 0 is p. y x p O (a) Calculate y when x = 3. (a) y = (b) Show that 3 1 p 1 4. (c) Find a smaller interval that contains t

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