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Exam-Style Questions.Problems adapted from questions set for previous Mathematics exams. |
1. | GCSE Higher [494] |
Find the exact value of tan45° × sin30° × cos30°
Give your answer in its simplest form.
2. | GCSE Higher [800] |
The old photograph below shows a large red set square (right-angled triangle) on the board of a draughtsman. The angle at the top of the set square is 60 degrees and the base of the set square is 25 centimetres . Find the exact length of the hypotenuse of the set square.
3. | GCSE Higher [176] |
(a) Write down the exact value of \(\tan 60^o\).
(b) Find the exact area of this triangle.
4. | GCSE Higher [275] |
The area of triangle ABC (not drawn to scale) is
$$ \frac{35 \sqrt{3}}{4} m^2$$If AB = \(x+2\) metres and AC = \(2x+1 \) metres, find the value of \(x\).
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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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