# Exam-Style Questions.

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

### 1.

GCSE Higher

(a) Write 0.0000657 in standard form.

(b) Write 2.371 × 104 as an ordinary number.

### 2.

GCSE Higher

The number 1.25 × 10n is a cube number.

Find the smallest possible integer value of n.

### 3.

GCSE Higher

At a particular time the distance between Earth and Mercury was $$7.7 \times 10^7$$ km.

A signal was sent from Earth to Mercury travelling at an estimated speed of $$3 \times 10^5$$ km per second.

(a) how long did the signal take to get to Mercury?

The speed of the signal sent from Earth to Mercury was actually less than $$3 \times 10^5$$ km per second.

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