plumiCompleting the square: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.12 Completing the square, 2021–2025, with its mark scheme and examiner’s report.
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All 7 questions on Completing the square, as a list
- June 2025, Paper 1, Q20 (4 marks): y = 3 3 x – 5x2 + 28x + 11 Show that y is an increasing function for all values of x.
- June 2024, Paper 1, Q14 (4 marks): (a) Write 2x2 – 16x + 7 in the form k(x + m)2 + n where k, m and n are integers. Answer 14 (b) Solve (x – 1)2 – 5 = 0 Answer
- June 2024, Paper 2, Q7 (2 marks): The equation of a curve is y = 4 – (x – 3)2 7 (a) Circle the coordinates of the point where the curve crosses the y-axis. (–5, 0) (0, –5) (–13, 0) (0, –13) 7 (b
- June 2023, Paper 1, Q19 (3 marks): 8x2 + 20x + n ≡ c(x + d)2 + 3 where c, d and n are constants. Work out the values of c, d and n. c = d = n =
- June 2022, Paper 1, Q19 (3 marks): Write 6x 2 – 24 x + 17 in the form a(x + b)2 + c where a, b and c are integers. Answer
- November 2021, Paper 2, Q21 (6 marks): 3x2 + 2bx + 8a can be written in the form 3(x + a)2 + b + 2 Work out the two possible pairs of values of a and b. a = b = a = b =
- Specimen, Paper 1, Q19 (4 marks): f(x) = 2x3 – 12x2 + 25x – 11 Use differentiation to show that f(x) is an increasing function for all values of x.
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