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Number systems: AQA A‑Level Computer Science questions

Every AQA A-Level Computer Science exam question on 4.5.1 Number systems, 2020–2025, with its mark scheme and examiner’s report.

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Calculations

561 questions

  1. Q01.1

    June 2025 · AS Paper 2

    2 marks4.5.1 Number systems
    The whole paper ↗
    June 2025 AS Paper 2, question 01.1: Which two of the numbers below belong to the set of numbers represented by ℤ? Shade two lozenges. [2 marks] A 0 B √2 C π D 3 4 E 998

  2. Q01.2

    June 2025 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2025 AS Paper 2, question 01.2: Describe what is meant by the term ‘ordinal number’. [1 mark]

  3. Q01.3

    June 2025 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2025 AS Paper 2, question 01.3: Explain why real numbers are better suited to representing measurements of some quantities than natural numbers. [1 mark]

  4. Q01.1

    June 2024 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2024 AS Paper 2, question 01.1: Describe the set of real numbers. [1 mark]

  5. Q01.2

    June 2024 · AS Paper 2

    2 marks4.5.1 Number systems
    The whole paper ↗
    June 2024 AS Paper 2, question 01.2: A 15 and 3 are not integers B 15 and 3 are irrational numbers C 5 is an irrational number D 5 is a natural number E 5 is a rational number

  6. Q01.3

    June 2024 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2024 AS Paper 2, question 01.3: Shade one lozenge to indicate which of the symbols below represents the set of rational numbers. [1 mark] A ℂ B ℕ C ℚ D ℝ E ℤ

  7. Q01.1

    June 2023 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2023 AS Paper 2, question 01.1: Shade in one lozenge to indicate which of the following values is an irrational number. [1 mark] A 3 4 B √2 C 73 D –19

  8. Q01.2

    June 2023 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2023 AS Paper 2, question 01.2: Shade in one lozenge to indicate which of the following values is a natural number. [1 mark] A 3 4 B √2 C 73 D –19

  9. Q01.3

    June 2023 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2023 AS Paper 2, question 01.3: Define the set of real numbers. [1 mark]

  10. Q01.4

    June 2023 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2023 AS Paper 2, question 01.4: Shade in one lozenge to indicate which of the following symbols represents the set of numbers most suitable for counting the number of people in a room. [1 mark

  11. Q01.5

    June 2023 · AS Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    June 2023 AS Paper 2, question 01.5: What is meant by the term ordinal number? [1 mark]

  12. Q01.1

    June 2022 · AS Paper 2

    2 marks4.5.1 Number systems
    The whole paper ↗
    June 2022 AS Paper 2, question 01.1: Describe the difference between natural numbers and integers. In your answer, give one example of a number that is an integer but not a natural number. [2 marks

  13. Q01.2

    June 2022 · AS Paper 2

    2 marks4.5.1 Number systems
    The whole paper ↗
    June 2022 AS Paper 2, question 01.2: Describe what it means for a number to be irrational. In your answer, give one example of an irrational number. [2 marks]

  14. Q01.3

    June 2022 · AS Paper 2

    2 marks4.5.1 Number systems
    The whole paper ↗
    June 2022 AS Paper 2, question 01.3: Shade one lozenge in the Counting column to indicate which set of numbers is most suitable for counting and one lozenge in the Measuring column to indicate whic

  15. Q07.1

    November 2020 · Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    November 2020 Paper 2, question 07.1: One of the numbers listed below is a member of the set of integers, the set of rational numbers and the set of real numbers, but is not a member of either the s

  16. Q07.2

    November 2020 · Paper 2

    1 mark4.5.1 Number systems
    The whole paper ↗
    November 2020 Paper 2, question 07.2: Shade one lozenge to indicate which type of number would be most appropriate to use to measure the length of an item, such as a piece of rope. [1 mark] A Intege
All 16 questions on Number systems, as a list
  1. June 2025, AS Paper 2, Q01.1 (2 marks): Which two of the numbers below belong to the set of numbers represented by ℤ? Shade two lozenges. [2 marks] A 0 B √2 C π D 3 4 E 998
  2. June 2025, AS Paper 2, Q01.2 (1 mark): Describe what is meant by the term ‘ordinal number’. [1 mark]
  3. June 2025, AS Paper 2, Q01.3 (1 mark): Explain why real numbers are better suited to representing measurements of some quantities than natural numbers. [1 mark]
  4. June 2024, AS Paper 2, Q01.1 (1 mark): Describe the set of real numbers. [1 mark]
  5. June 2024, AS Paper 2, Q01.2 (2 marks): A 15 and 3 are not integers B 15 and 3 are irrational numbers C 5 is an irrational number D 5 is a natural number E 5 is a rational number
  6. June 2024, AS Paper 2, Q01.3 (1 mark): Shade one lozenge to indicate which of the symbols below represents the set of rational numbers. [1 mark] A ℂ B ℕ C ℚ D ℝ E ℤ
  7. June 2023, AS Paper 2, Q01.1 (1 mark): Shade in one lozenge to indicate which of the following values is an irrational number. [1 mark] A 3 4 B √2 C 73 D –19
  8. June 2023, AS Paper 2, Q01.2 (1 mark): Shade in one lozenge to indicate which of the following values is a natural number. [1 mark] A 3 4 B √2 C 73 D –19
  9. June 2023, AS Paper 2, Q01.3 (1 mark): Define the set of real numbers. [1 mark]
  10. June 2023, AS Paper 2, Q01.4 (1 mark): Shade in one lozenge to indicate which of the following symbols represents the set of numbers most suitable for counting the number of people in a room. [1 mark
  11. June 2023, AS Paper 2, Q01.5 (1 mark): What is meant by the term ordinal number? [1 mark]
  12. June 2022, AS Paper 2, Q01.1 (2 marks): Describe the difference between natural numbers and integers. In your answer, give one example of a number that is an integer but not a natural number. [2 marks
  13. June 2022, AS Paper 2, Q01.2 (2 marks): Describe what it means for a number to be irrational. In your answer, give one example of an irrational number. [2 marks]
  14. June 2022, AS Paper 2, Q01.3 (2 marks): Shade one lozenge in the Counting column to indicate which set of numbers is most suitable for counting and one lozenge in the Measuring column to indicate whic
  15. November 2020, Paper 2, Q07.1 (1 mark): One of the numbers listed below is a member of the set of integers, the set of rational numbers and the set of real numbers, but is not a member of either the s
  16. November 2020, Paper 2, Q07.2 (1 mark): Shade one lozenge to indicate which type of number would be most appropriate to use to measure the length of an item, such as a piece of rope. [1 mark] A Intege

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