Sum Formula (n-2)×180°: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the application of the sum formula (n-2)×180° for interior angles of polygons, aimed at developing procedural fluency and problem-solving skills.
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Sum Formula (n-2)×180°: Fluency & Practice
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the sum of the interior angles of a pentagon.
[2 marks]2.
Find the number of sides of a polygon if the sum of its interior angles is 1440°.
[2 marks]3.
A hexagon has interior angles summing to 720°. Calculate the measure of each interior angle, assuming they are equal.
[3 marks]4.
Construct a polygon with 10 sides. Use the grid to draw it and verify that the sum of its interior angles matches the sum formula.
[4 marks]5.
A polygon has 7 sides. What is the measure of each interior angle if they are all equal?
[3 marks]6.
If a polygon has interior angles measuring 150° each, how many sides does it have?
[3 marks]7.
Explain why the sum of interior angles of a triangle is 180°, using the sum formula.
[4 marks]8.
A regular heptagon has interior angles measuring approximately 128.57°. Verify this using the sum formula.
[3 marks]9.
A certain polygon has 9 sides. The sum of its interior angles is 1260°. What is the measure of each interior angle?
[3 marks]10.
Identify and correct the mistake in this reasoning: "A polygon with 6 sides has an interior angle sum of 720°, so each angle must be 120°."
[4 marks]11.
Calculate the number of sides of a polygon if each interior angle measures 135°.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet