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Fractions, decimals and recurring decimals: AQA GCSE Maths questions

Every AQA 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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1,304 questions

  1. Q12

    November 2024 · Paper 1H

    The whole paper ↗
    November 2024 Paper 1H, question 12: (a) Convert 11 27 to a recurring decimal. Answer 12 (b) Convert . • 0 15 to a fraction. Answer
  2. Q21

    June 2024 · Paper 1H

    The whole paper ↗
    June 2024 Paper 1H, question 21: Prove algebraically that . • • 1 018 = 56 55
  3. Q19

    November 2023 · Paper 1H

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    November 2023 Paper 1H, question 19: When converted to a fraction . • 0 7 = 9 7 Work out . • 0 4 + . • 0 07 Give your answer as a fraction. Answer
  4. Q2

    November 2023 · Paper 2H

    The whole paper ↗
    November 2023 Paper 2H, question 2: (a) Write 1.52 as an improper fraction in its simplest form. Answer 2 (b) Work out 60 as a percentage of 20 Answer %
  5. Q8

    November 2023 · Paper 3H

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    November 2023 Paper 3H, question 8: Circle the largest number. . • 5 304 5.344 5.34 . • 5 34
  6. Q23

    June 2023 · Paper 1H

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    June 2023 Paper 1H, question 23: Write . • 0 13 as a fraction in its simplest form. Answer
  7. Q2

    June 2023 · Paper 3H

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    June 2023 Paper 3H, question 2: Write down a fraction equivalent to 1.875 Answer
  8. Q3

    November 2022 · Paper 1H

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    November 2022 Paper 1H, question 3: 0.203 = 5 1 + x Circle the value of x. 300 1 3000 1 100 3 1000 3
  9. Q13

    November 2022 · Paper 1H

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    November 2022 Paper 1H, question 13: Work out . • 0 47 + 0.312 Circle your answer. 0.782 0.789 . • 0 7897 . • • 0 789
  10. Q21

    November 2022 · Paper 1H

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    November 2022 Paper 1H, question 21: Convert . • 0 61 to a fraction. Answer
  11. Q22

    June 2022 · Paper 1H

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    June 2022 Paper 1H, question 22: Work out . • 0 68 – . • 0 45 Give your answer as a fraction in its simplest form. Answer
  12. Q1

    June 2022 · Paper 2H

    The whole paper ↗
    June 2022 Paper 2H, question 1: Circle the fraction that is equal to 1.25% 8 1 25 1 80 1 125 1
  13. Q2

    November 2021 · Paper 1H

    The whole paper ↗
    November 2021 Paper 1H, question 2: x ≠ 0.4 Circle the possible value of x. 10 4 50 20 70 26 300 120
  14. Q13

    November 2021 · Paper 1H

    The whole paper ↗
    November 2021 Paper 1H, question 13: Convert 5 6 to a recurring decimal. Answer
  15. Q2

    November 2021 · Paper 3H

    The whole paper ↗
    November 2021 Paper 3H, question 2: Circle the largest number. . 0 5 • 0.55 0.545 . 0 545 • •
  16. Q1

    November 2020 · Paper 1H

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    November 2020 Paper 1H, question 1: Circle the fraction that is equivalent to 4.75 15 4 19 4 21 4 23 4
  17. Q11

    November 2020 · Paper 1H

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    November 2020 Paper 1H, question 11: As a decimal 40 11 = 0.275 Work out 33 400 as a decimal. Answer
  18. Q26

    November 2020 · Paper 3H

    The whole paper ↗
    November 2020 Paper 3H, question 26: Prove algebraically that . 3 47 • = 90 313
  19. Q21

    November 2019 · Paper 1H

    The whole paper ↗
    November 2019 Paper 1H, question 21: Work out . 0 7048 • • – 0.001 Circle your answer. . 0 7038 • • . 0 7038 • . 0 70383 • • . 0 70384 • •
  20. Q4

    June 2019 · Paper 1H

    The whole paper ↗
    June 2019 Paper 1H, question 4: Circle the fraction that is equivalent to 4.625 8 39 8 37 4 185 4 17
All 30 questions on Fractions, decimals and recurring decimals, as a list
  1. November 2024, Paper 1H, Q12 (5 marks): (a) Convert 11 27 to a recurring decimal. Answer 12 (b) Convert . • 0 15 to a fraction. Answer
  2. June 2024, Paper 1H, Q21 (3 marks): Prove algebraically that . • • 1 018 = 56 55
  3. November 2023, Paper 1H, Q19 (3 marks): When converted to a fraction . • 0 7 = 9 7 Work out . • 0 4 + . • 0 07 Give your answer as a fraction. Answer
  4. November 2023, Paper 2H, Q2 (2 marks): (a) Write 1.52 as an improper fraction in its simplest form. Answer 2 (b) Work out 60 as a percentage of 20 Answer %
  5. November 2023, Paper 3H, Q8 (1 mark): Circle the largest number. . • 5 304 5.344 5.34 . • 5 34
  6. June 2023, Paper 1H, Q23 (3 marks): Write . • 0 13 as a fraction in its simplest form. Answer
  7. June 2023, Paper 3H, Q2 (1 mark): Write down a fraction equivalent to 1.875 Answer
  8. November 2022, Paper 1H, Q3 (1 mark): 0.203 = 5 1 + x Circle the value of x. 300 1 3000 1 100 3 1000 3
  9. November 2022, Paper 1H, Q13 (1 mark): Work out . • 0 47 + 0.312 Circle your answer. 0.782 0.789 . • 0 7897 . • • 0 789
  10. November 2022, Paper 1H, Q21 (3 marks): Convert . • 0 61 to a fraction. Answer
  11. June 2022, Paper 1H, Q22 (5 marks): Work out . • 0 68 – . • 0 45 Give your answer as a fraction in its simplest form. Answer
  12. June 2022, Paper 2H, Q1 (1 mark): Circle the fraction that is equal to 1.25% 8 1 25 1 80 1 125 1
  13. November 2021, Paper 1H, Q2 (1 mark): x ≠ 0.4 Circle the possible value of x. 10 4 50 20 70 26 300 120
  14. November 2021, Paper 1H, Q13 (2 marks): Convert 5 6 to a recurring decimal. Answer
  15. November 2021, Paper 3H, Q2 (1 mark): Circle the largest number. . 0 5 • 0.55 0.545 . 0 545 • •
  16. November 2020, Paper 1H, Q1 (1 mark): Circle the fraction that is equivalent to 4.75 15 4 19 4 21 4 23 4
  17. November 2020, Paper 1H, Q11 (2 marks): As a decimal 40 11 = 0.275 Work out 33 400 as a decimal. Answer
  18. November 2020, Paper 3H, Q26 (3 marks): Prove algebraically that . 3 47 • = 90 313
  19. November 2019, Paper 1H, Q21 (1 mark): Work out . 0 7048 • • – 0.001 Circle your answer. . 0 7038 • • . 0 7038 • . 0 70383 • • . 0 70384 • •
  20. June 2019, Paper 1H, Q4 (1 mark): Circle the fraction that is equivalent to 4.625 8 39 8 37 4 185 4 17
  21. June 2019, Paper 1H, Q19 (1 mark): Circle the fraction that is equivalent to . • 0 1 1 9 1 99 1 10 11 100
  22. June 2018, Paper 2H, Q27 (3 marks): Prove algebraically that • 75 . 2 converts to the fraction 45 124
  23. June 2018, Paper 3H, Q1 (1 mark): Circle the decimal that is closest in value to 20 11 0.56 0.6 0.525 0.5
  24. June 2018, Paper 3H, Q3 (1 mark): Circle the largest number. • 27 . 3 3.27 3.277 • 207 . 3
  25. November 2017, Paper 1H, Q26 (4 marks): (a) • 7 . 0 = 9 7 Use this fact to show that • 07 . 0 = 90 7 26 (b) Using part (a) or otherwise, convert • 27 . 0 to a fraction. Give your answer in its simples
  26. November 2017, Paper 2H, Q1 (1 mark): Circle the fraction that is equivalent to 3.875 4 15 8 29 8 31 8 15
  27. June 2017, Paper 1H, Q15 (1 mark): 6 1 , 7 1 , 8 1 and 9 1 are four fractions. How many of these fractions convert to a recurring decimal? Circle your answer. 0 1 2 3 4
  28. June 2017, Paper 2H, Q1 (1 mark): Circle the decimal that is closest in value to 800 39 0.04 0.048 0.049 0.05
  29. Specimen, Paper 1H, Q27 (3 marks): Convert .  0 172 to a fraction in its lowest terms. Answer
  30. Specimen, Paper 3H, Q3 (1 mark): Circle the decimal that is closest in value to 2 3 0.6 0.66 0.667 0.67

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