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

## 1. | GCSE Higher |

The exterior angle of a regular polygon is 72°

What is the name of the regular polygon?

## 2. | GCSE Higher |

The diagram, not drawn to scale, show a polygon with one line of symmetry, AE.

Angle HAB is 90° and interior angle DEF is 220°.

Work out the size of angle ABC which is half the size of interior angle BCD and twice the size of angle CDE.

## 3. | GCSE Higher |

A number of regular pentagons and squares are arranged around the outside of a large blue regular polygon. Just the lower part of the arrangement is shown below.

How many sides does the large blue regular polygon have?

## 4. | GCSE Higher |

PQRS is a rhombus and C is the midpoint of QS.

The angle QRS is 120^{o} and A is the point on QS such that PA = AQ.

Calculate the size of angle CPA.

## 5. | IGCSE Extended |

The diagrams are not drawn to scale

ABCDEF is a hexagon with AB parallel to ED and BC parallel to FE. GFE and GABH are straight lines. Angle CBH = 70 Calculate the values of: (a) \(p\); (b) \(q\); (c) \(t\); (d) \(x\). |
K, P, J and N are points on a circle and KN = NP. KJ is a diameter and LKM is the tangent to the circle at K. Angle LKN = 59 Find the values of: (e) \(y\); (f) \(z\). |

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