plumiQuadratics: CAIE A‑Level Maths questions
Every CAIE A-Level Maths exam question on 1.1 Quadratics, June 2024 and the specimen papers, with its mark scheme and examiner’s report.
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![June 2024 Paper 1, question 1: (a) Express y 3 2 - 12 y 15 in the form ( 3 y a ) 2 + , where a and b are constants. b [2] - + (b) Hence find the exact solutions of the equation x 3 4 12 x 2 1](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970911-jun24-01-qp.webp)
![Specimen Paper 1, question 11: 11 The function f is defined, for x ∈ ℝ, by f : x ↦ x2 + ax + b, where a and b are constants. (a) It is given that a = 6 and b = –8. Find the range of f. [3] (b](https://pub-e8a9dbab8e2a4d089f52b2a45e0d0b50.r2.dev/bank/970901-spec-11-qp.webp)
All 3 questions on Quadratics, as a list
- June 2024, Paper 1, Q1 (5 marks): (a) Express y 3 2 - 12 y 15 in the form ( 3 y a ) 2 + , where a and b are constants. b [2] - + (b) Hence find the exact solutions of the equation x 3 4 12 x 2 1
- June 2024, Paper 1, Q10 (8 marks): The equation of a circle is ( x 3 ) 2 y 2 18 . The line with equation y mx + passes through the c - + = = point ( , 0 9 ) and is a tangent to the circle. - Find
- Specimen, Paper 1, Q11 (9 marks): 11 The function f is defined, for x ∈ ℝ, by f : x ↦ x2 + ax + b, where a and b are constants. (a) It is given that a = 6 and b = –8. Find the range of f. [3] (b
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