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Fractions, decimals and recurring decimals: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on N10 Fractions, decimals and recurring decimals, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. June 2025 Paper 5, question 18: Work out. o o 1 42 . 0 2 . ' Give your answer as a mixed number in its simplest form. You must show your working.
  2. Q13

    November 2024 · Paper 5

    The whole paper ↗
    November 2024 Paper 5, question 13: Write 11
  3. Q15

    November 2024 · Paper 6

    The whole paper ↗
    November 2024 Paper 6, question 15: 15 Prove that . You must show your working.
  4. Q17

    June 2024 · Paper 6

    The whole paper ↗
    June 2024 Paper 6, question 17: (a) Without using a calculator, show that . 0 18 2 10 as a decimal and write down its value. o o can be used to find 11 (b) Explain how 0 18 . = 11 10 = 11
  5. Q18

    November 2023 · Paper 5

    The whole paper ↗
    November 2023 Paper 5, question 18: Work out. 4 o o 0 . 2 + 8 9 Give your answer as a fraction in its simplest form.
  6. June 2023 Paper 5, question 16: (a) Work out. 2 643 (a) p 5 o o (b) 0 13 . + = q 9 p where q is a fraction in its lowest terms. Find the value of p and the value of q. (b) p = q =
  7. Q11

    November 2022 · Paper 5

    The whole paper ↗
    November 2022 Paper 5, question 11: Write . 0 27
  8. Q16

    June 2022 · Paper 5

    The whole paper ↗
    June 2022 Paper 5, question 16: Work out . 0 6 0 54 . # You must show your working.
  9. Q13

    November 2021 · Paper 5

    The whole paper ↗
    November 2021 Paper 5, question 13: (a) Write 11 (a) 0 48o as a fraction in its simplest form. (b) Write . (b)
  10. Q18

    November 2020 · Paper 6

    The whole paper ↗
    November 2020 Paper 6, question 18: Write . 0 416 You must show full working in support of your answer.
  11. November 2019 Paper 5, question 13: (a) (i) Write 3 (a)(i) 1 as a recurring decimal. (ii) Write 30 (ii) (b) Simplify fully by rationalising the denominator. 20 5 (b)
  12. Q10

    June 2019 · Paper 5

    The whole paper ↗
    June 2019 Paper 5, question 10: (a) Write 6 (a) (b) Elsa divides a two-digit number by another two-digit number. 0 15o . She gets the answer . She says that there is only one possible pair of
  13. Q14

    November 2018 · Paper 6

    The whole paper ↗
    November 2018 Paper 6, question 14: (a) Without using a calculator, show that . 0 19 19 19 as a decimal and write down its value. o o can be used to find 990 (b) Explain how 0 19 . = 99 19 = 990
  14. Q13

    June 2018 · Paper 5

    The whole paper ↗
    June 2018 Paper 5, question 13: (a) Write 12 (a) (b) Convert . 0 76 o o to a fraction. (b)
  15. Q12

    November 2017 · Paper 5

    The whole paper ↗
    November 2017 Paper 5, question 12: (a) Write 6 as a recurring decimal. (a) (b) Convert . 0 126o to a fraction. Give your answer in its lowest terms. (b)
  16. Q13

    June 2017 · Paper 5

    The whole paper ↗
    June 2017 Paper 5, question 13: (a) Write 9 (a) (b) Sally divided a two-digit number by another two-digit number. Her answer was 3.18181818 . Find two numbers that Sally could have used. (b) a
All 16 questions on Fractions, decimals and recurring decimals, as a list
  1. June 2025, Paper 5, Q18 (5 marks): Work out. o o 1 42 . 0 2 . ' Give your answer as a mixed number in its simplest form. You must show your working.
  2. November 2024, Paper 5, Q13 (2 marks): Write 11
  3. November 2024, Paper 6, Q15 (3 marks): 15 Prove that . You must show your working.
  4. June 2024, Paper 6, Q17 (5 marks): (a) Without using a calculator, show that . 0 18 2 10 as a decimal and write down its value. o o can be used to find 11 (b) Explain how 0 18 . = 11 10 = 11
  5. November 2023, Paper 5, Q18 (4 marks): Work out. 4 o o 0 . 2 + 8 9 Give your answer as a fraction in its simplest form.
  6. June 2023, Paper 5, Q16 (6 marks): (a) Work out. 2 643 (a) p 5 o o (b) 0 13 . + = q 9 p where q is a fraction in its lowest terms. Find the value of p and the value of q. (b) p = q =
  7. November 2022, Paper 5, Q11 (3 marks): Write . 0 27
  8. June 2022, Paper 5, Q16 (5 marks): Work out . 0 6 0 54 . # You must show your working.
  9. November 2021, Paper 5, Q13 (5 marks): (a) Write 11 (a) 0 48o as a fraction in its simplest form. (b) Write . (b)
  10. November 2020, Paper 6, Q18 (3 marks): Write . 0 416 You must show full working in support of your answer.
  11. November 2019, Paper 5, Q13 (5 marks): (a) (i) Write 3 (a)(i) 1 as a recurring decimal. (ii) Write 30 (ii) (b) Simplify fully by rationalising the denominator. 20 5 (b)
  12. June 2019, Paper 5, Q10 (6 marks): (a) Write 6 (a) (b) Elsa divides a two-digit number by another two-digit number. 0 15o . She gets the answer . She says that there is only one possible pair of
  13. November 2018, Paper 6, Q14 (5 marks): (a) Without using a calculator, show that . 0 19 19 19 as a decimal and write down its value. o o can be used to find 990 (b) Explain how 0 19 . = 99 19 = 990
  14. June 2018, Paper 5, Q13 (4 marks): (a) Write 12 (a) (b) Convert . 0 76 o o to a fraction. (b)
  15. November 2017, Paper 5, Q12 (5 marks): (a) Write 6 as a recurring decimal. (a) (b) Convert . 0 126o to a fraction. Give your answer in its lowest terms. (b)
  16. June 2017, Paper 5, Q13 (4 marks): (a) Write 9 (a) (b) Sally divided a two-digit number by another two-digit number. Her answer was 3.18181818 . Find two numbers that Sally could have used. (b) a

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