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Exam-Style Questions on Exact Trigonometry

Problems on Exact Trigonometry adapted from questions set in previous Mathematics exams.

1.

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.

Set Square

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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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