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Functions, inverse and composite functions: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A7 Functions, inverse and composite functions, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q11

    June 2025 · Paper 4

    5 marksA7 Functions, inverse and composite functionsA19 Simultaneous equations
    The whole paper ↗
    June 2025 Paper 4, question 11: Function A and function B are shown below. Function A: Input - 5 # a Output Function B: Input + b # 3 Output When the input for both machines is 11, the output

  2. Q11

    November 2024 · Paper 6

    7 marksA7 Functions, inverse and composite functionsA21 Forming and solving equations
    The whole paper ↗
    November 2024 Paper 6, question 11: (a) Here is a function. Input + 3 × 2 Output Complete the diagram below to show the inverse of the function. Input Output (b) Here is another function. Input ×

  3. Q13

    June 2024 · Paper 4

    6 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    June 2024 Paper 4, question 13: Function A and function B are shown below. Function A: Input + 2 # 3 Output Function B: Input Output # 5 - 3 (a) The output of function B is x. Write an algebra

  4. Q7

    November 2023 · Paper 6

    5 marksA7 Functions, inverse and composite functionsA17 Linear equations
    The whole paper ↗
    November 2023 Paper 6, question 7: Here are two functions. Function A: input × k + 21 output Function B: input – 1.5 × k output 5 is input into Function A. 5 is also input into Function B. The ou

  5. Q12

    June 2023 · Paper 4

    6 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    June 2023 Paper 4, question 12: Here are two functions. Function A: Input Output + 5 # 3 Function B: Input Output # 2 - 1 (a) Write an algebraic expression for the output of function A when th

  6. Q13

    November 2022 · Paper 6

    5 marksA7 Functions, inverse and composite functionsA17 Linear equations
    The whole paper ↗
    November 2022 Paper 6, question 13: (a) Here is a function. Input × t – 2 Output When the input is 6, the output is 18. Find the value of t. (a) t = (b) Here is another function. When the input is

  7. Q11

    November 2020 · Paper 6

    8 marksA7 Functions, inverse and composite functionsA17 Linear equations
    The whole paper ↗
    November 2020 Paper 6, question 11: Here are two functions. Function A: Input × 3 + 15 Output Function B: Input + 11 × 2 Output (a) (i) Jo chooses a number, x. She inputs x into each function. The

  8. Q9

    November 2019 · Paper 4

    7 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    November 2019 Paper 4, question 9: Here is function A. Function A : input output − 4 × 3 (a) A number, k, is input into function A. The output is also k. Find the value of k. (a) k = (b) The outp

  9. Q12

    June 2019 · Paper 5

    7 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    June 2019 Paper 5, question 12: Here are two functions. y x × 3 – 2 Function A x + 7 × 2 y Function B (a) Find an algebraic expression for the output of the inverse of function A when the inpu

  10. Q11

    November 2018 · Paper 4

    4 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    November 2018 Paper 4, question 11: Here are two functions. Function A : input × 2 + 4 output Function B : input – 1 × 3 output Composite function C is shown below. Function Function Function C :

  11. Q17

    June 2018 · Paper 6

    5 marksA7 Functions, inverse and composite functionsA17 Linear equations
    The whole paper ↗
    June 2018 Paper 6, question 17: Here is a function. Function A: Input Output + 14 × 5 (a) The output of function A is x. Write an algebraic expression, in terms of x, for the input of function

  12. Q14

    June 2017 · Paper 6

    8 marksA7 Functions, inverse and composite functions
    The whole paper ↗
    June 2017 Paper 6, question 14: Here is a function. y x × 2 Function A: + 3 (a) Complete the table of values for function A. x y -5 11 Here is another function. y x + 4 Function B: ÷ 5 (b) Fin
All 12 questions on Functions, inverse and composite functions, as a list
  1. June 2025, Paper 4, Q11 (5 marks): Function A and function B are shown below. Function A: Input - 5 # a Output Function B: Input + b # 3 Output When the input for both machines is 11, the output
  2. November 2024, Paper 6, Q11 (7 marks): (a) Here is a function. Input + 3 × 2 Output Complete the diagram below to show the inverse of the function. Input Output (b) Here is another function. Input ×
  3. June 2024, Paper 4, Q13 (6 marks): Function A and function B are shown below. Function A: Input + 2 # 3 Output Function B: Input Output # 5 - 3 (a) The output of function B is x. Write an algebra
  4. November 2023, Paper 6, Q7 (5 marks): Here are two functions. Function A: input × k + 21 output Function B: input – 1.5 × k output 5 is input into Function A. 5 is also input into Function B. The ou
  5. June 2023, Paper 4, Q12 (6 marks): Here are two functions. Function A: Input Output + 5 # 3 Function B: Input Output # 2 - 1 (a) Write an algebraic expression for the output of function A when th
  6. November 2022, Paper 6, Q13 (5 marks): (a) Here is a function. Input × t – 2 Output When the input is 6, the output is 18. Find the value of t. (a) t = (b) Here is another function. When the input is
  7. November 2020, Paper 6, Q11 (8 marks): Here are two functions. Function A: Input × 3 + 15 Output Function B: Input + 11 × 2 Output (a) (i) Jo chooses a number, x. She inputs x into each function. The
  8. November 2019, Paper 4, Q9 (7 marks): Here is function A. Function A : input output − 4 × 3 (a) A number, k, is input into function A. The output is also k. Find the value of k. (a) k = (b) The outp
  9. June 2019, Paper 5, Q12 (7 marks): Here are two functions. y x × 3 – 2 Function A x + 7 × 2 y Function B (a) Find an algebraic expression for the output of the inverse of function A when the inpu
  10. November 2018, Paper 4, Q11 (4 marks): Here are two functions. Function A : input × 2 + 4 output Function B : input – 1 × 3 output Composite function C is shown below. Function Function Function C :
  11. June 2018, Paper 6, Q17 (5 marks): Here is a function. Function A: Input Output + 14 × 5 (a) The output of function A is x. Write an algebraic expression, in terms of x, for the input of function
  12. June 2017, Paper 6, Q14 (8 marks): Here is a function. y x × 2 Function A: + 3 (a) Complete the table of values for function A. x y -5 11 Here is another function. y x + 4 Function B: ÷ 5 (b) Fin

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