# Exam-Style Questions on Construction

## Problems on Construction adapted from questions set in previous exams.

### 1.

GCSE Higher

Construct a quadrilateral ABCD in which:

• AB = 8cm
• BC = 9cm
• CD = 10cm
• DA = 11cm
• Angle DAB = 100o

Use a ruler and compasses to find the point P that is same distance from BC and CD and is 7cm from A.

Find the length of PD in centimetres correct to the nearest millimetre.

### 2.

GCSE Higher

The diagram, drawn to scale, shows a right-angled triangle ABC.

Construct using a ruler and a pair of compasses a rectangle, DEFG, equal in area to the area of the triangle ABC and with DE the same length as AB.

You must show all your construction lines.

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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