plumiSimultaneous equations: AQA Level 2 Further Maths questions
Every AQA Level 2 Further Maths exam question on 2.15 Simultaneous equations, 2021–2025, with its mark scheme and examiner’s report.
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All 9 questions on Simultaneous equations, as a list
- June 2025, Paper 1, Q22 (6 marks): A circle has centre (2, 3) and radius 5 A straight line passes through (3, 7) and has a gradient of 2 Work out the coordinates of the two points where the circl
- June 2024, Paper 1, Q10 (5 marks): A function f is given by f(x) = – 1 2 x + 21 0 ⩽ x ⩽ 2 = ax2 + bx 2 < x ⩽ 6 A sketch of y = f(x) is shown. Work out the values of a and b. a = b =
- June 2024, Paper 2, Q12 (6 marks): The equation of a circle is (x – 2)2 + ( y + 3)2 = 16 The equation of a line is y = 4 – x The circle and line intersect at two points, A and B. 12 (a) Show that
- June 2023, Paper 1, Q8 (6 marks): A circle has centre (0, 0) and radius 5 A straight line has equation 2y = x + 5 Work out the coordinates of the two points where the circle and straight line in
- 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 2023, Paper 2, Q19 (3 marks): In these simultaneous equations, k is a positive constant. 3x + 4y = k y = 2kx Solve the simultaneous equations. Give the answers in their simplest form in term
- June 2022, Paper 1, Q16 (6 marks): Solve the simultaneous equations x – y = 19 4 xy = –3 Do not use trial and improvement. You must show your working. Answer
- November 2021, Paper 2, Q12 (5 marks): A and B are points on the line y = 3x + 2 B, C and D (5, 0) are points on the line L. OA : AC = 1 : 4 Work out the x-coordinate of B. Answer
- Specimen, Paper 1, Q15 (9 marks): Point A lies on the curve y = x2 + 5x + 8 The x-coordinate of A is – 4 15 (a) Show that the equation of the normal to the curve at A is 3y = x + 16 15 (b) The n
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