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Linear equations: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A17 Linear equations, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q9

    June 2025 · Paper 6

    6 marksA17 Linear equationsA18 Quadratic equations
    The whole paper ↗
    June 2025 Paper 6, question 9: (a) Solve. 8 x 11 6 x 3 - = + (a) x = (b) Solve by factorising. 2 + x 15 x 16 0 - = (b) x = or x =

  2. Q9

    November 2024 · Paper 5

    3 marksA17 Linear equations
    The whole paper ↗
    November 2024 Paper 5, question 9: Solve. 3 x 12 9 7 x + = - x =

  3. Q9

    November 2023 · Paper 4

    4 marksA4 Simplifying, expanding and factorisingA17 Linear equations
    The whole paper ↗
    November 2023 Paper 4, question 9: Here are two pieces of work. Each shows a question and an incorrect solution. For each part, describe the error made and write out a correct solution. (a) Quest

  4. Q21

    November 2023 · Paper 4

    3 marksA17 Linear equationsN7 Laws of indices
    The whole paper ↗
    November 2023 Paper 4, question 21: Solve. 1 5 x 1 3 - x , where x ≠ 0 = 6 3 x 4 x = for question 22

  5. 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

  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. Q2

    November 2020 · Paper 5

    5 marksA4 Simplifying, expanding and factorisingA17 Linear equations
    The whole paper ↗
    November 2020 Paper 5, question 2: (a) Solve. 4 x 3 13 + = (a) x = (b) Multiply out and simplify. 5 2 ( x 3 ) 2 ( x 4 ) + + - (b)

  8. Q15

    November 2020 · Paper 5

    3 marksA17 Linear equations
    The whole paper ↗
    November 2020 Paper 5, question 15: Solve. x 5 = x 6 + x =

  9. 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

  10. Q5

    November 2019 · Paper 5

    3 marksA17 Linear equations
    The whole paper ↗
    November 2019 Paper 5, question 5: Solve. 6 x 10 4 x 1 - = + x =

  11. Q2

    June 2019 · Paper 5

    6 marksN7 Laws of indicesA17 Linear equations
    The whole paper ↗
    June 2019 Paper 5, question 2: (a) Simplify fully. 8 5 3 a 2 a # 2 a (a) (b) Solve. x 6 10 - 1 = 5 (b) x =

  12. 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

  13. Q9

    November 2017 · Paper 6

    4 marksG15 Measuring, scale drawings and bearingsA17 Linear equations
    The whole paper ↗
    November 2017 Paper 6, question 9: The diagram shows the positions of two towns, Amton and Bisham. North North Bisham Not to scale Amton The bearing of Bisham from Amton is b°. The bearing of Amt

  14. Q10

    June 2017 · Paper 5

    5 marksA22 InequalitiesA17 Linear equations
    The whole paper ↗
    June 2017 Paper 5, question 10: (a) Solve the inequality. 3 x 2 2 10 - (a) (b) Solve. 6 x 2 5 4 x + = - (b) x =
All 14 questions on Linear equations, as a list
  1. June 2025, Paper 6, Q9 (6 marks): (a) Solve. 8 x 11 6 x 3 - = + (a) x = (b) Solve by factorising. 2 + x 15 x 16 0 - = (b) x = or x =
  2. November 2024, Paper 5, Q9 (3 marks): Solve. 3 x 12 9 7 x + = - x =
  3. November 2023, Paper 4, Q9 (4 marks): Here are two pieces of work. Each shows a question and an incorrect solution. For each part, describe the error made and write out a correct solution. (a) Quest
  4. November 2023, Paper 4, Q21 (3 marks): Solve. 1 5 x 1 3 - x , where x ≠ 0 = 6 3 x 4 x = for question 22
  5. 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
  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 5, Q2 (5 marks): (a) Solve. 4 x 3 13 + = (a) x = (b) Multiply out and simplify. 5 2 ( x 3 ) 2 ( x 4 ) + + - (b)
  8. November 2020, Paper 5, Q15 (3 marks): Solve. x 5 = x 6 + x =
  9. 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
  10. November 2019, Paper 5, Q5 (3 marks): Solve. 6 x 10 4 x 1 - = + x =
  11. June 2019, Paper 5, Q2 (6 marks): (a) Simplify fully. 8 5 3 a 2 a # 2 a (a) (b) Solve. x 6 10 - 1 = 5 (b) x =
  12. 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
  13. November 2017, Paper 6, Q9 (4 marks): The diagram shows the positions of two towns, Amton and Bisham. North North Bisham Not to scale Amton The bearing of Bisham from Amton is b°. The bearing of Amt
  14. June 2017, Paper 5, Q10 (5 marks): (a) Solve the inequality. 3 x 2 2 10 - (a) (b) Solve. 6 x 2 5 4 x + = - (b) x =

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