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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

Find the exact value of tan45° × sin30° × cos30°

Give your answer in its simplest form.


2.

GCSE Higher

(a) Write down the exact value of \(\tan 60^o\).

(b) Find the exact area of this triangle.

Right-angled triangle

3.

GCSE Higher
Triangle

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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