Pentagon: Mixed Review
Mathematics
GCSE Higher
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A comprehensive worksheet reviewing various aspects of pentagons, including properties, calculations, and real-world applications, suitable for GCSE Higher students.
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Full preview • 13 questions
Pentagon: Mixed Review
Subject: MathematicsGrade: GCSE Higher
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Date:
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Untitled Worksheet
Grade GCSE Higher
A
Fluency & Practice
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.
Determine the measure of each interior angle of a regular pentagon.
[2 marks]3.
Calculate the measure of each exterior angle of a regular pentagon.
[2 marks]4.
Construct a pentagon with sides of length 5 cm each. What is the perimeter?
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A regular pentagon has an apothem of 7 cm. Calculate its area.
[4 marks]2.
A pentagon's interior angles are 110° each. Is it regular? Explain your reasoning.
[3 marks]3.
Calculate the measure of each exterior angle of a pentagon where one interior angle is 120°.
[3 marks]C
Real-world Applications
Answer all questions. Show your reasoning clearly.
1.
A decorative pentagon-shaped tile has sides of 8 cm. If the tile's interior angles are all equal, find the total length of the sides and comment on the shape's regularity.
[4 marks]2.
A park design incorporates a pentagonal fountain with sides measuring 6 m. If the design requires the fountain to be symmetrical, what can you infer about its angles?
[3 marks]D
Challenge & Extension
Answer all questions. Show your detailed working.
1.
Construct a pentagon with sides of 7 cm, where one interior angle is 120°. Find the measure of the other interior angles if the pentagon is irregular but has two sides equal.
[4 marks]2.
Determine the number of diagonals in a pentagon and explain how this relates to its properties.
[3 marks]E
Error Analysis
Identify the mistake in each statement and correct it.
1.
A student claims each exterior angle of a regular pentagon is 80°. Identify and correct the mistake.
[2 marks]2.
The sum of interior angles of a pentagon is 720°. Correct this error and provide the proper sum.
[2 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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet