Octagon: Error Analysis & Misconceptions
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on common errors and misconceptions related to octagons, designed to develop understanding of their properties through various question types.
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Octagon: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Introduction
Review the key properties of octagons: an octagon has 8 sides and the sum of its interior angles is 1080°. Use this information to answer the questions below.
B
Fluency & Practice
Answer the following questions to practice calculating properties of octagons.
1.
Calculate the measure of each interior angle of a regular octagon.
[2 marks]2.
If a regular octagon has a side length of 10 cm, find its perimeter.
[2 marks]3.
What is the sum of the interior angles of any octagon?
[2 marks]4.
A regular octagon has an exterior angle of 45°. Confirm whether this is correct and explain why.
[3 marks]C
Problem Solving & Reasoning
Solve these multi-step problems that require explanation and reasoning.
1.
A regular octagon has a side length of 12 cm. Find the measure of each interior angle and verify the sum of all interior angles.
[4 marks]2.
Explain why the sum of the interior angles of an octagon is always 1080°, regardless of side length.
[3 marks]D
Real-world Applications
Apply your knowledge to real-world contexts involving octagons.
1.
A garden is designed with an octagonal fountain in the center. If each side of the fountain measures 4 meters, what is its perimeter?
[3 marks]2.
A stained glass window is shaped as a regular octagon. If the interior angle measures 135°, what is the length of one side if the perimeter is 54 meters?
[3 marks]E
Challenge & Extension
Tackle these advanced questions to deepen your understanding.
1.
Construct a regular octagon inscribed in a circle with radius 10 cm. Calculate the length of each side.
[4 marks]2.
If an irregular octagon has sides of lengths 5, 7, 6, 8, 5, 7, 6, 8, identify a common misconception about irregular octagon side lengths and clarify it.
[3 marks]F
Mixed Review & Error Analysis
Identify the errors or misconceptions in the following statements and correct them.
1.
A student claims that all interior angles of an octagon are greater than 140°. Is this correct? Explain and correct if necessary.
[3 marks]2.
A common mistake is assuming the exterior angles of a regular octagon are each 45°. Is this true? Justify your answer.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet