plumiStationary points: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 4.7 Stationary points, 2021–2025, with its mark scheme and examiner’s report.
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All 6 questions on Stationary points, as a list
- June 2025, Paper 2, Q15 (3 marks): For a curve y = f(x) x y d d = 1 – 2 9 x 15 (a) Show that the curve has a turning point where x = 3 15 (b) Use 2 2 d d x y to work out the nature of the turning
- June 2025, Paper 2, Q20 (5 marks): Here is a sketch of the curve with equation y = 4 + 2x – x2 The tangent to the curve at the turning point P is shown. The normal to the curve at Q meets this ta
- June 2024, Paper 1, Q19 (5 marks): The equation of a curve is y = x3 – 3x2 + 5 Work out the stationary points of the curve and determine their nature. You must show your working. Stationary point
- June 2023, Paper 1, Q17 (5 marks): The curve y = ax3 + bx2 + 7 has a stationary point at (–2, 11) Work out the values of a and b. a = b =
- June 2022, Paper 1, Q20 (6 marks): The curve y = x 4 – 18x 2 has three stationary points. Work out the coordinates of the three stationary points and determine their nature. You must show your wo
- November 2021, Paper 2, Q18 (5 marks): y = 12x + x 3 Show that y has a minimum value when x = 0.5
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