## Exam-Style Questions.## Problems adapted from questions set for previous Mathematics exams. |

## 1. | GCSE Higher |

Construct a locus of points that are the same distance from points A and B.

## 2. | GCSE Higher |

Construct a quadrilateral ABCD in which:

- AB = 8cm
- BC = 9cm
- CD = 10cm
- DA = 11cm
- Angle DAB = 100
^{o}

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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