Cone: Fluency & Practice
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on the properties and calculations related to cones, designed for GCSE Foundation students to develop procedural fluency and problem-solving skills.
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Full preview • 10 questions
Cone: Fluency & Practice
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 a radius of 3 cm and a height of 9 cm. Use b3 as b3.
[3 marks]2.
Find the slant height of a cone with radius 4 cm and height 6 cm.
[2 marks]3.
Calculate the lateral surface area of a cone with radius 5 cm and slant height 10 cm. (Use b2 b2 as b2).
[3 marks]4.
A cone has a height of 12 cm and a volume of 150 b3. Find its radius.
[4 marks]5.
Construct a cone with a base radius of 6 cm and height of 8 cm on the grid. Label the dimensions.
06.
A cone's slant height is 15 cm, and its radius is 9 cm. Calculate the height of the cone.
[3 marks]7.
A real-world scenario: A party hat is shaped like a cone with a radius of 10 cm and height of 15 cm. Calculate the total surface area of the hat.
[4 marks]8.
A conical funnel narrows to a tip. If the volume is 200 b3, and the radius at the top is 5 cm, what is the height of the funnel?
[4 marks]9.
Error analysis: A student claims the surface area of a cone with radius 4 cm and slant height 10 cm is 251.33 b2. Identify the mistake and correct it.
[4 marks]10.
Challenge & Extension: Derive the formula for the surface area of a cone starting from basic principles.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet