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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

An ornamental lake is in the shape of a semicircle with a diameter of 900 metres.

(a) Calculate the perimeter of the lake to the nearest metre.

(b) The lake has a uniform depth of 1.5 metres. Calculate the volume of the water in the lake in cubic metres to the nearest integer.

(c) Give the volume of the lake in litres. Give your answer correct to three significant figures in standard form.

Semicircle Lake

2.

GCSE Higher

A container is in the shape of a cuboid as shown in the diagram below.

The container is three quarters full of water.

A glass holds 250 ml of water.

What is the greatest number of glasses that can be completely filled with water from the container?

Water Container

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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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