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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

At a concert, the number of men, women and children can be expressed with the following ratio:

$$ 6 : 11 : 4 $$

There were 6525 more women than men. How many children were at the concert?


2.

GCSE Higher

Toystore sell model sheep in four different colours. In their newest warehouse there are currently 1760 sheep in stock. Three eighths of the sheep are yellow, 15% of the sheep are blue and the ratio of green to red sheep is 5:6.

Sheep Sheep Sheep Sheep

Work out the number of sheep of each colour in the Toystore warehouse.


3.

GCSE Higher

At a summer camp the campers can choose one of three programmes: camp craft, water sports or hiking.

During the first week of camp the campers chose the programmes in the ratio 7 : 5 : 8

During the second week of camp the same number of campers chose the programmes in the ratio 7 : 6 : 4

Show that there were more campers on the camp craft programme in the second week than the first.


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.

The solutions to the questions on this website are only available to those who have a Transum Subscription.

 

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