Cone: Challenge & Extension
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet on the properties and calculations involving cones, designed to deepen understanding for GCSE Foundation students.
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Cone: Challenge & Extension
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.
Calculate the volume of a cone with radius 3 cm and height 9 cm. Use 1 formula.
[3 marks]2.
A cone has a slant height of 10 cm and a height of 6 cm. Calculate the radius of the cone.
[3 marks]3.
Construct a cone on the grid with a height of 6 cm and a base radius of 4 cm. Show all steps.
[3 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the surface area of a cone with radius 5 cm and height 12 cm. Recall the formula: SA = 1 + 1 1.
[4 marks]2.
A cone's total surface area is 150 . If its radius is 4 cm, calculate its slant height.
[3 marks]C
Problem Solving & Reasoning
Answer all questions. Show detailed reasoning in the grid spaces.
1.
A conical bucket holds 2000 cm of water. The radius of the opening is 10 cm. Calculate the height of the bucket.
[4 marks]2.
A cone-shaped tent has a height of 5 m and a base radius of 2.5 m. If the fabric used for the sides costs £15 per m, calculate the total cost of fabric needed.
[4 marks]D
Real-world Applications
Answer all questions. Show all calculations clearly.
1.
A traffic cone has a height of 70 cm and a radius of 20 cm. How much paint, in liters, is needed to cover the surface if 1 liter covers 8 m? Assume only the lateral surface is painted.
[4 marks]E
Challenge & Extension
Answer all questions. Show your working clearly.
1.
A cone with a volume of 500 has a height of 10 cm. Find its radius.
[3 marks]2.
A conical funnel is made of metal sheet with a thickness of 0.2 cm. If the outer radius is 6 cm and the height is 8 cm, estimate the volume of metal used, considering the thickness.
[4 marks]F
Mixed Review & Error Analysis
Answer all questions. Review common mistakes shown in brackets and correct your answers.
1.
A cone has a diameter of 8 cm and a height of 12 cm. Calculate its volume. (Common mistake: using instead of )
[3 marks]2.
Identify and correct the error: A student calculates the surface area of a cone with radius 4 cm and slant height 6 cm as 50 , using the formula SA = 1 + 1 1, but forgets to include the lateral area.
[4 marks]Quick Actions
What is Remix?
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet