C = πd: Challenge & Extension
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on the formula C = πd for GCSE Higher students, including practice, reasoning, real-world applications, and extension questions.
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C = πd: Challenge & Extension
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 circumference of a circle with diameter 12 cm.
[2 marks]2.
Find the diameter of a circle if its circumference is 62.8 cm. (Use π ≈ 3.14)
[2 marks]3.
A circular garden has a diameter of 15 meters. What is its circumference?
[2 marks]B
Targeted Practice & Reasoning
Answer all questions. Show detailed working where necessary.
1.
A circular track has a diameter of 100 meters. Calculate its circumference. Then, if a runner completes 3 laps, what is the total distance run?
[4 marks]2.
Explain why using π ≈ 3.14 might introduce a small error in calculating the circumference. How much is the potential error for a diameter of 25 cm?
[4 marks]3.
A circular swimming pool has a circumference of 62.8 meters. What is its diameter? (Use π ≈ 3.14)
[2 marks]C
Real-world Applications
Answer all questions based on the given scenarios.
1.
A bicycle wheel has a diameter of 70 cm. How far will it travel in 100 revolutions?
[4 marks]D
Challenge & Extension
Attempt all questions. These are designed to extend your understanding.
1.
A circular fence has a circumference of 150 meters. The owner wants to plant a flower bed along the fence with width 2 meters. What is the approximate area of the flower bed inside the fence?
[4 marks]2.
A circular pond has a diameter that is 3 times its width. If the circumference is 78.5 meters, find the diameter and radius of the pond.
[4 marks]E
Mixed Review & Error Analysis
Answer all questions carefully.
1.
A circle has a diameter of 18 cm. A student calculates the circumference as 56 cm. Identify and explain the mistake, then provide the correct answer.
[3 marks]2.
Construct a circle with a diameter of 8 cm. Using the grid, draw the circle and measure its circumference to verify the calculation. (Estimate based on grid lines)
[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.
- • 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