# Exam-Style Questions.

## Problems adapted from questions set for previous Mathematics exams.

### 1.

GCSE Higher

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

### 2.

GCSE Higher

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

(b) Find the exact area of this triangle.

### 3.

GCSE Higher

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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