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Iteration: AQA GCSE Maths questions

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

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1,304 questions

  1. Q20

    November 2024 · Paper 2H

    3 marksA20 Iteration
    The whole paper ↗
    November 2024 Paper 2H, question 20: Here is a formula for an iterative process. un + 1 = n u 24 + 4 u2 = 8 Work out the values of u1 and u3 u1 = u3 =

  2. Q22

    June 2024 · Paper 2H

    3 marksA20 Iteration
    The whole paper ↗
    June 2024 Paper 2H, question 22: Use x1 = 1 to work out an approximate solution to x = 5 – x 1 Give your answer to 4 significant figures. xn + 1 = 5 – n x 1 x =

  3. Q26

    November 2023 · Paper 2H

    3 marksR16 Growth, decay and compound interestA20 Iteration
    The whole paper ↗
    November 2023 Paper 2H, question 26: Rick borrows £1500 from a bank. He pays back £100 each month. This iterative formula works out the amount he still owes at the end of each month. A0 = 1500 Work

  4. Q22

    June 2023 · Paper 2H

    3 marksA20 Iteration
    The whole paper ↗
    June 2023 Paper 2H, question 22: An approximate value of a root of an equation, x, can be found using the iterative formula xn+1 = n n x x − − 2 3 5( ) 2 3 The starting value is x1 = 4 22 (a) W

  5. Q17

    November 2022 · Paper 2H

    1 markA20 Iteration
    The whole paper ↗
    November 2022 Paper 2H, question 17: A sequence of numbers is formed by the iterative process un+1 = 20 3 n u + where u1 = 1 Work out u3 Circle your answer. 11 40 2 5 7 5

  6. Q30

    November 2021 · Paper 3H

    3 marksA20 Iteration
    The whole paper ↗
    November 2021 Paper 3H, question 30: A sphere has radius r cm An approximate value of r can be found using the iterative formula The starting value is r1 = 7 nr +1= nr 239 30 (a) Work out the value

  7. Q16

    November 2020 · Paper 1H

    2 marksA20 Iteration
    The whole paper ↗
    November 2020 Paper 1H, question 16: A sequence of numbers is formed by the iterative process un + 1 = n u − 4 1 u1 = 9 Work out the values of u2 and u3 u2 = u3 =

  8. Q27

    November 2019 · Paper 2H

    3 marksA20 Iteration
    The whole paper ↗
    November 2019 Paper 2H, question 27: xn+1 = 3 7 3 + n x Use a starting value of x1 = 2 to work out a solution to x = 3 7 3 + x Give your answer to 3 decimal places. Answer

  9. Q22

    November 2018 · Paper 3H

    3 marksA20 Iteration
    The whole paper ↗
    November 2018 Paper 3H, question 22: An approximate solution to an equation is found using the iterative formula ( ) 1 3 2 10 + − = n n x x with 1x = –1 22 (a) Work out the values of x2 and x3 x2 =

  10. Q23

    June 2018 · Paper 3H

    2 marksA20 Iteration
    The whole paper ↗
    June 2018 Paper 3H, question 23: A sequence of numbers is formed by the iterative process un+1 = 1 3 + n u , u1 = 4 Work out the values of u2 and u3 u2 = u3 =

  11. Q26

    Specimen · Paper 3H

    3 marksA20 Iteration
    The whole paper ↗
    Specimen Paper 3H, question 26: An approximate solution to an equation is found using this iterative process. xn + 1 = 8 3 3  ) ( n x and x1 = 1 26 (a) Work out the values of x2 and x3 x2 =
All 11 questions on Iteration, as a list
  1. November 2024, Paper 2H, Q20 (3 marks): Here is a formula for an iterative process. un + 1 = n u 24 + 4 u2 = 8 Work out the values of u1 and u3 u1 = u3 =
  2. June 2024, Paper 2H, Q22 (3 marks): Use x1 = 1 to work out an approximate solution to x = 5 – x 1 Give your answer to 4 significant figures. xn + 1 = 5 – n x 1 x =
  3. November 2023, Paper 2H, Q26 (3 marks): Rick borrows £1500 from a bank. He pays back £100 each month. This iterative formula works out the amount he still owes at the end of each month. A0 = 1500 Work
  4. June 2023, Paper 2H, Q22 (3 marks): An approximate value of a root of an equation, x, can be found using the iterative formula xn+1 = n n x x − − 2 3 5( ) 2 3 The starting value is x1 = 4 22 (a) W
  5. November 2022, Paper 2H, Q17 (1 mark): A sequence of numbers is formed by the iterative process un+1 = 20 3 n u + where u1 = 1 Work out u3 Circle your answer. 11 40 2 5 7 5
  6. November 2021, Paper 3H, Q30 (3 marks): A sphere has radius r cm An approximate value of r can be found using the iterative formula The starting value is r1 = 7 nr +1= nr 239 30 (a) Work out the value
  7. November 2020, Paper 1H, Q16 (2 marks): A sequence of numbers is formed by the iterative process un + 1 = n u − 4 1 u1 = 9 Work out the values of u2 and u3 u2 = u3 =
  8. November 2019, Paper 2H, Q27 (3 marks): xn+1 = 3 7 3 + n x Use a starting value of x1 = 2 to work out a solution to x = 3 7 3 + x Give your answer to 3 decimal places. Answer
  9. November 2018, Paper 3H, Q22 (3 marks): An approximate solution to an equation is found using the iterative formula ( ) 1 3 2 10 + − = n n x x with 1x = –1 22 (a) Work out the values of x2 and x3 x2 =
  10. June 2018, Paper 3H, Q23 (2 marks): A sequence of numbers is formed by the iterative process un+1 = 1 3 + n u , u1 = 4 Work out the values of u2 and u3 u2 = u3 =
  11. Specimen, Paper 3H, Q26 (3 marks): An approximate solution to an equation is found using this iterative process. xn + 1 = 8 3 3  ) ( n x and x1 = 1 26 (a) Work out the values of x2 and x3 x2 =

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