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Inequalities: Edexcel A‑Level Further Maths questions

Every Edexcel A-Level Further Maths exam question on FP.5 Inequalities, 2018–2025, with its mark scheme and examiner’s report.

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824 questions

  1. Q3

    June 2025 · Further Pure 1

    Mark scheme (PDF)
    The whole paper ↗
    June 2025 Further Pure 1, question 3: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Use algebra to determine the
  2. Q4

    June 2025 · AS Further Pure 1

    The whole paper ↗
    June 2025 AS Further Pure 1, question 4: In this question you must show all stages of your working. Solutions based on calculator technology are not acceptable. Determine the values of x for which x x
  3. Q2

    June 2024 · Further Pure 1

    The whole paper ↗
    June 2024 Further Pure 1, question 2: Use algebra to determine the values of x for which x x x 2 2 −  (4)
  4. Q1

    June 2024 · AS Further Pure 1

    No published mark scheme
    The whole paper ↗
    June 2024 AS Further Pure 1, question 1: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Sketch the graph of the c
  5. Q3

    June 2023 · Further Pure 1

    The whole paper ↗
    June 2023 Further Pure 1, question 3: In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. y x O Figure 1 Figure 1 shows
  6. Q1

    June 2023 · AS Further Pure 1

    The whole paper ↗
    June 2023 AS Further Pure 1, question 1: (a) Use algebra to determine the values of x for which 5 2 x x −  12 (4) (b) Hence, given that x is an integer, deduce the value of x. (1)
  7. Q7

    June 2022 · Further Pure 1

    The whole paper ↗
    June 2022 Further Pure 1, question 7: O y x Figure 1 Figure 1 shows a sketch of the curve with equation y = | x 2 – 8 | and a sketch of the straight line with equation y = mx + c , where m and c are
  8. Q1

    June 2022 · AS Further Pure 1

    The whole paper ↗
    June 2022 AS Further Pure 1, question 1: Use algebra to find the set of values of x for which x  2 15 2 3 x x + + (6)
  9. Q3

    November 2021 · Further Pure 1

    The whole paper ↗
    November 2021 Further Pure 1, question 3: y x O x = –2 x = 2 Figure 1 Figure 1 shows a sketch of the curve with equation y = f(x) where f(x) = x x −2 Use algebra to determine the values of x for which 2
  10. Q6

    November 2020 · Further Pure 1

    The whole paper ↗
    November 2020 Further Pure 1, question 6: A physics student is studying the movement of particles in an electric field. In one experiment, the distances in micrometres of two moving particles, A and B,
  11. Q2

    November 2020 · AS Further Pure 1

    The whole paper ↗
    November 2020 AS Further Pure 1, question 2: Use algebra to determine the values of x for which x x x x x + + − − 1 2 5 3 4 1 2 2 > (5)
  12. Q2

    June 2019 · AS Further Pure 1

    The whole paper ↗
    June 2019 AS Further Pure 1, question 2: A student was set the following problem. Use algebra to find the set of values of x for which x x x − > + 24 1 11 The student’s attempt at a solution is written
  13. Q3

    June 2018 · AS Further Pure 1

    The whole paper ↗
    June 2018 AS Further Pure 1, question 3: Use algebra to find the values of x for which x x x x 2 2 3 1 3 − − +  (7)
All 13 questions on Inequalities, as a list
  1. June 2025, Further Pure 1, Q3 (6 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. Use algebra to determine the
  2. June 2025, AS Further Pure 1, Q4 (6 marks): In this question you must show all stages of your working. Solutions based on calculator technology are not acceptable. Determine the values of x for which x x
  3. June 2024, Further Pure 1, Q2 (4 marks): Use algebra to determine the values of x for which x x x 2 2 −  (4)
  4. June 2024, AS Further Pure 1, Q1 (7 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. (a) Sketch the graph of the c
  5. June 2023, Further Pure 1, Q3 (7 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. y x O Figure 1 Figure 1 shows
  6. June 2023, AS Further Pure 1, Q1 (5 marks): (a) Use algebra to determine the values of x for which 5 2 x x −  12 (4) (b) Hence, given that x is an integer, deduce the value of x. (1)
  7. June 2022, Further Pure 1, Q7 (8 marks): O y x Figure 1 Figure 1 shows a sketch of the curve with equation y = | x 2 – 8 | and a sketch of the straight line with equation y = mx + c , where m and c are
  8. June 2022, AS Further Pure 1, Q1 (6 marks): Use algebra to find the set of values of x for which x  2 15 2 3 x x + + (6)
  9. November 2021, Further Pure 1, Q3 (8 marks): y x O x = –2 x = 2 Figure 1 Figure 1 shows a sketch of the curve with equation y = f(x) where f(x) = x x −2 Use algebra to determine the values of x for which 2
  10. November 2020, Further Pure 1, Q6 (10 marks): A physics student is studying the movement of particles in an electric field. In one experiment, the distances in micrometres of two moving particles, A and B,
  11. November 2020, AS Further Pure 1, Q2 (5 marks): Use algebra to determine the values of x for which x x x x x + + − − 1 2 5 3 4 1 2 2 > (5)
  12. June 2019, AS Further Pure 1, Q2 (6 marks): A student was set the following problem. Use algebra to find the set of values of x for which x x x − > + 24 1 11 The student’s attempt at a solution is written
  13. June 2018, AS Further Pure 1, Q3 (7 marks): Use algebra to find the values of x for which x x x x 2 2 3 1 3 − − +  (7)

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