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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.

(b) How will this affect your answer to part (a)?


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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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