Each Angle: Fluency & Practice

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating and understanding Each Exterior Angle of polygons, designed for GCSE Foundation students to develop procedural fluency and reasoning skills.

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Full preview • 11 questions

Each Angle: Fluency & Practice

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the measure of each exterior angle of a regular hexagon.
[2 marks]
2.
A regular octagon has exterior angles of equal measure. What is the size of each exterior angle?
[2 marks]
3.
Determine the sum of all exterior angles of any convex polygon.
[2 marks]
4.
A regular decagon has each exterior angle measuring 36°. Calculate the number of sides in this polygon.
[2 marks]
5.
A polygon has exterior angles of 30°, 70°, and 60°. If the remaining exterior angles are all equal, what is the measure of each of the remaining angles?
[3 marks]
6.
Construct a quadrilateral with exterior angles of 80°, 100°, 90°, and the remaining exterior angle. Show your working.
[4 marks]
7.
In a regular polygon, the measure of each exterior angle is 24°. How many sides does the polygon have?
[2 marks]
8.
A polygon’s exterior angles are in the ratio 1:2:3:4. Find the measure of each exterior angle.
[3 marks]
9.
A convex polygon has exterior angles of 50°, 60°, 70°, and one unknown angle. The sum of all exterior angles is 360°. Find the measure of the unknown exterior angle.
[3 marks]
10.
Identify the common mistake made when calculating exterior angles by dividing the total sum (360°) by the number of sides, and explain how to avoid it.
[3 marks]
11.
A regular polygon has 12 sides. Calculate the measure of each exterior angle and the interior angle.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet