Pearson Edexcel IGCSE · Mathematics (Specification A)

Polygons: Practice Questions

5 multiple-choice questions marked as you go, and 3 written questions with worked solutions. All on Polygons.

8 questions16 marksFree, no account

Question 1

1 mark

Three interior angles of a quadrilateral are \(85^\circ\), \(110^\circ\), and \(70^\circ\).
What is the size of the fourth interior angle?

Question 2

1 mark

Each interior angle of a regular polygon is \(140^\circ\).
How many sides does this polygon have?

Question 3

1 mark

The interior angles of a pentagon are represented by the expressions \(x^\circ\), \((x + 20)^\circ\), \((x + 40)^\circ\), \((x + 60)^\circ\), and \((x + 80)^\circ\).
Calculate the size of the largest interior angle.

Question 4

1 mark

How many sides does a polygon named a decagon have?

Question 5

1 mark

Calculate the size of each interior angle of a regular decagon (a 10-sided polygon).

Question 6

2 marks

Calculate the size of each exterior angle of a regular octagon.

Write your answer out first, then check it against the worked solution.

Question 7

5 marks

The size of each interior angle of a regular polygon is \(162^{\circ}\).
Work out the number of sides of this polygon.

Write your answer out first, then check it against the worked solution.

Question 8

4 marks

A regular polygon has an interior angle sum of \(1260^{\circ}\).
(a) Calculate the number of sides, \(n\), of this polygon.
(b) Find the size of a single exterior angle of this regular polygon.

Write your answer out first, then check it against the worked solution.

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