plumiAlgebraic and modulus inequalities: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 5.1 Algebraic and modulus inequalities, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 12 questions on Algebraic and modulus inequalities, as a list
- 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
- 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
- June 2024, Further Pure 1, Q2 (4 marks): Use algebra to determine the values of x for which x x x 2 2 − (4)
- 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
- 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)
- 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
- 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)
- 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
- 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,
- 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)
- 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
- 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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