Transum Software

Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

The diagram below shows two rectangles not drawn to scale.

The perimeter of rectangle EFGH is 41cm and the area of rectangle ABCD is 55cm2.

Find the length of AD.

Two rectangles

2.

GCSE Higher
Composite Shape

Find the value of \(x\).


3.

GCSE Higher

Find the length of the sides of a square from the following clues:

Give your answer in centimetres to three significant figures.


4.

GCSE Higher

Five identical circles fit exactly inside a rectangle as shown in the diagram.

Find the area of the rectangle in terms of \(r\), the radius of the circles.

Five Circles

5.

GCSE Higher

Two identical small yellow circles are drawn inside one large circle, as shown in the diagram. The centres of the small circles lie on the diameter of the large circle. The part of the large circle that is outside both small circles is painted red.

Velocity Time Graph

Find the fraction of the large circle that is painted red.


If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.

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.

 

Exam-Style Questions Main Page

 

Search for exam-style questions containing a particular word or phrase:

To search the entire Transum website use the search box in the grey area below.

Comments:

Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

Apple

©1997-2022 WWW.TRANSUM.ORG