Diameter: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on common misconceptions and errors related to the diameter of a circle, aimed at GCSE Foundation students.

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Diameter: Error Analysis & Misconceptions

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.
A circle has a radius of 7 cm. Calculate its diameter.
[2 marks]
2.
If a diameter of a circle measures 18 cm, what is the radius of the circle?
[2 marks]
3.
Construct a circle with a diameter of 10 cm on the grid. Label the diameter.
[3 marks]
4.
A student claims that the diameter is always twice the length of the radius. Is this statement correct? Explain your answer.
[3 marks]
5.
A circle's diameter is incorrectly measured as 16 cm when the radius is given as 8 cm. Identify and explain the mistake.
[2 marks]
6.
Plot a circle with a diameter of 12 units on the grid. Draw and label the diameter correctly.
[3 marks]
7.
Explain why the diameter of a circle always passes through the center.
[3 marks]
8.
A circle has a diameter of 24 cm. A student mistakenly divides the diameter by 2 to find the radius, but the result is 12 cm. Is this correct? Why or why not?
[2 marks]
9.
Find the length of the diameter if the radius is 9 cm, but the student mistakenly subtracts 9 from 20 in their calculation. Identify and correct the error.
[2 marks]
10.
Challenge: A circle has a diameter of 30 cm, but a student claims the radius is 15 cm. Is this correct? Justify your answer.
[3 marks]
11.
A circle's diameter is measured as 50 units, but a student writes the radius as 25 units. Confirm if this is correct and explain.
[2 marks]

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Details

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