Diameter: Challenge & Extension
Mathematics
Grade 6
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet challenging students to understand and apply the concept of diameter in circles, including problem solving and real-world applications.
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Diameter: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
If the radius of a circle is 7 cm, what is its diameter? Show your working.
[2 marks]2.
A circle has a circumference of 44 cm. Calculate its diameter. (Use π ≈ 3.14)
[3 marks]3.
Identify the diameter in the following description: 'A line passing through the center of a circle, touching both sides.'
[1 mark]4.
Construct a circle with a radius of 4 cm on the grid and draw its diameter.
[3 marks]B
Fluency & Practice
Answer the following questions to strengthen your procedural understanding of diameters.
1.
Calculate the diameter of a circle with a circumference of 31.4 cm. (Use π ≈ 3.14)
[2 marks]2.
If the diameter of a circle is 18 cm, find its radius.
[2 marks]3.
What is the relationship between radius and diameter?
[2 marks]4.
A circle’s radius is 5 cm. Draw its diameter on the grid.
[3 marks]C
Problem Solving & Reasoning
Solve the following multi-step problems and explain your reasoning clearly.
1.
A bicycle wheel has a diameter of 70 cm. How many revolutions does the wheel make when it travels 7 km? (Use π ≈ 3.14)
[4 marks]2.
A circular garden has a radius of 12 m. The gardener wants to plant a path along the diameter. How long will the path be? Show your working.
[4 marks]3.
Explain why the diameter is always twice the length of the radius in a circle.
[3 marks]D
Real-world Applications
Apply your understanding of diameter to practical situations.
1.
A car tire has a diameter of 60 cm. How many times does the tire rotate in covering 1 km? (Use π ≈ 3.14)
[4 marks]2.
A circular swimming pool has a radius of 8 meters. Find the length of the diameter for setting up the pool’s border.
[2 marks]E
Challenge & Extension
Tackle these advanced problems to deepen your understanding of diameter concepts.
1.
A circular track has a diameter that is 25% longer than its radius. If the radius is 40 meters, what is the diameter? Show your working.
[3 marks]2.
Construct a circle with a diameter of 12 cm on the grid. Then find its radius and verify the relationship between radius and diameter.
[3 marks]F
Mixed Review & Error Analysis
Answer the questions and identify any common mistakes made.
1.
A student calculates the diameter of a circle with radius 9 cm as 18 cm. Is this correct? If yes, explain why. If not, correct the mistake.
[2 marks]2.
A measurement error occurs when a student states the diameter of a circle with radius 5 cm as 10 cm. Is this mistake valid? Why or why not?
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet