Pentagon: Error Analysis & Misconceptions
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on identifying and correcting misconceptions related to properties of pentagons, including angles, sides, and symmetry.
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Pentagon: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
Answer all questions. Show your working clearly in the grid spaces provided.
1.
Calculate the sum of interior angles of a pentagon.
[2 marks]2.
A regular pentagon has equal sides and angles. If each interior angle is 108°, what is the measure of each exterior angle?
[2 marks]3.
Construct a pentagon with sides of length 5 cm each. What is the perimeter?
[2 marks]4.
Identify the mistake in this statement: 'All pentagons have five right angles.'
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working in the grid spaces provided.
1.
A pentagon has four sides of length 6 cm and one side of length 10 cm. Determine whether it can be a regular pentagon. Explain your reasoning.
[4 marks]2.
The interior angles of a pentagon are in the ratio 1:1:1:1:3. Find the measure of the largest angle.
[4 marks]3.
Construct a pentagon with two sides of 4 cm and three sides of 7 cm, arranged in any order. Is this shape necessarily convex? Justify your answer.
[4 marks]C
Real-world Applications
Answer all questions, providing calculations and reasoning where appropriate.
1.
A designer is creating a decorative pentagonal tile with interior angles of 108° each. If the tile's sides are 12 cm long, what is the total length of the perimeter?
[3 marks]D
Challenge & Extension
Answer all questions. These are advanced problems requiring careful reasoning.
1.
Prove that a pentagon with all sides equal and with interior angles of 108° is necessarily convex.
[4 marks]2.
Given a pentagon with one interior angle measuring 150°, find the sum of the remaining four interior angles.
[3 marks]E
Mixed Review & Error Analysis
Identify and correct the errors in each statement or calculation.
1.
A student claims that the sum of the exterior angles of any pentagon is 360°. Is this true? Explain your answer.
[3 marks]2.
A pentagon has interior angles of 100°, 100°, 100°, 100°, and 100°. Identify the mistake and explain.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet