plumiMean value of a function: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on E.3 Mean value of a function, 2019–2025, 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 8 questions on Mean value of a function, as a list
- June 2025, Paper 2, Q4 (1 mark): The function f is defined by f ( ) = − 2 16 x x ( ) x∈ On which of the following intervals is the mean value of f the greatest? Tick () one box. [1 mark] 0 ≤
- June 2024, Paper 1, Q3 (1 mark): The function f is defined by _ f (x) = x2 (x ∈ ℝ) Find the mean value of f (x) between x = 0 and x = 2 Circle your answer. [1 mark] 2 3 4 3 8 3 16 3
- June 2024, AS Paper 1, Q7 (3 marks): The function f is defined by f(x) = 1 √ x 4 ≤ x ≤ 7 Find the mean value of f over the interval 4 ≤ x ≤ 7 Give your answer in exact form. [3 marks] �������������
- June 2023, AS Paper 1, Q5 (4 marks): The function f is defined by f (x) = 3x2 1 ≤ x ≤ 5 5 (a) Find the mean value of f [2 marks] 5 (b) The function g is defined by g (x) = f (x) + c 1 ≤ x ≤ 5 The m
- June 2022, Paper 2, Q2 (1 mark): Find the mean value of the function f (x) = 10x4 between x = 0 and x = a Circle your answer. [1 mark] 10a3 40a3 2a4 4a5
- November 2021, AS Paper 1, Q2 (1 mark): Given that f (x) = 3x − 1 find the mean value of f (x) over the interval 4 × x × 8 Circle your answer. [1 mark] 6 11 17 23
- November 2020, AS Paper 1, Q12 (2 marks): The mean value of the function f over the interval 1 × x × 5 is m. The graph of y = g(x) is a reflection in the x-axis of y = f (x) . The graph of y = h(x) is a
- June 2019, Paper 1, Q3 (1 mark): The function f (x) = x2 − 1 Find the mean value of f (x) from x = −0:5 to x = 1:7 Give your answer to three significant figures. Circle your answer. [1 mark] −0
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