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Exam-Style Questions on QuadraticsProblems on Quadratics adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher |
In the diagram below, which is not drawn to scale, all dimensions are in centimetres and all angles are multiples of 90o. If the shaded area is 698cm2, work out the value of \(x\).
2. | IB Standard |
Let \(f(x)=jx^3+jx^2+kx+m\) where \(j, k\) and \(m\) are constants.
(a) Find \(f'(x)\)
(b) If \(f'(x)\ge 0\), show that \(j^2\le 3jk\).
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The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.
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