## 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.

## 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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