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Exam-Style Questions on ConstructionProblems on Construction adapted from questions set in previous Mathematics exams. |
1. | GCSE Higher |
(a) Using a ruler and compasses only, construct triangle \(ABC\) given that:
(b) The point \(D\) lies on \(AB\) such that the line \(CD\) bisects angle \(ACB\). Using a ruler and compasses only, construct the line segment \(CD\).
(c) Measure the length of \(AD\) in centimetres correct to the nearest millimetre.
2. | GCSE Higher |
Construct a quadrilateral ABCD in which:
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.
3. | 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.
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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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