plumiThe modulus function: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 2.9 The modulus function, 2010–2025, 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 10 questions on The modulus function, as a list
- June 2025, Pure 2, Q12 (8 marks): y x O Figure 3 Figure 3 shows a sketch of the graph with equation y = f (x) where f (x) = 4 ½x – 3½ – 5 x ∈ Given that a is a constant and ½a½ = 1 (a) find th
- June 2024, Pure 1, Q6 (6 marks): O P x y Figure 1 Figure 1 shows a sketch of the graph with equation y x 3 2 5 The vertex of the graph is at the point P, shown in Figure 1. (a) Find the coordin
- June 2023, Pure 2, Q12 (10 marks): O 5 t N NA NB Figure 2 The number of subscribers to two different music streaming companies is being monitored. The number of subscribers, NA , in thousands, to
- June 2022, Pure 1, Q1 (4 marks): The point P (−2, −5) lies on the curve with equation y = f (x), x ∈ Find the point to which P is mapped, when the curve with equation y = f (x) is transformed
- June 2022, Pure 2, Q1 (4 marks): In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable. y = | 3 − 2x | y x O Figure 1
- November 2021, Pure 2, Q11 (10 marks): y x O Figure 4 Figure 4 shows a sketch of the graph with equation y = | 2x – 3k | where k is a positive constant. (a) Sketch the graph with equation y = f (x) w
- November 2020, Pure 2, Q11 (7 marks): y O P x Figure 2 Figure 2 shows a sketch of the graph with equation y = 2 | x + 4 | − 5 The vertex of the graph is at the point P, shown in Figure 2. (a) Find t
- June 2019, Pure 1, Q10 (6 marks): (i) Prove that for all n , n2 + 2 is not divisible by 4 (4) (ii) “Given x , the value of µ3x – 28µ is greater than or equal to the value of (x – 9).” State
- June 2019, Pure 1, Q12 (10 marks): f(x) = 10e±x sin x, x . 0 (a) Show that the x coordinates of the turning points of the curve with equation y = f(x) satisfy the equation tan x = 4 (4) y O
- June 2018, Pure 2, Q3 (5 marks): (a) “If m and n are irrational numbers, where m ≠ n, then mn is also irrational.” Disprove this statement by means of a counter example. (2) (b) (i) Sketch the
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