General 3D Shapes: Mixed Review
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet covering various aspects of General 3D Shapes with an emphasis on Pythagoras in 3D for GCSE Foundation students.
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General 3D Shapes: Mixed Review
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the length of the space diagonal of a cube with side length 5 cm.
[2 marks]2.
A rectangular prism has dimensions 8 cm by 6 cm by 4 cm. Find the space diagonal.
[3 marks]3.
Construct a cuboid with length 10 cm, width 4 cm, and height 6 cm. Calculate its surface area.
[3 marks]4.
Calculate the volume of a cylinder with radius 3 cm and height 10 cm.
[3 marks]B
Problem Solving & Reasoning
Answer all questions. Show detailed working.
1.
A triangular prism has a length of 12 cm. The cross-section is an equilateral triangle with side length 6 cm. Find the length of the space diagonal of the prism.
[4 marks]2.
A pyramid has a square base with side 8 cm and a perpendicular height of 10 cm. Calculate the slant height of one of its triangular faces.
[4 marks]C
Real-world Applications
Answer all questions. Use context to inform your calculations.
1.
A builder is constructing a rectangular tank measuring 4 m by 3 m by 2 m. Find the length of the longest straight line inside the tank from one corner to the opposite top corner.
[3 marks]2.
A wire is to be stretched from one corner of a cuboid to the opposite corner through the interior. The cuboid has dimensions 10 m, 6 m, and 8 m. Calculate the length of the wire needed.
[4 marks]D
Challenge & Extension
Attempt these more challenging problems. Show clear working.
1.
A sphere is inscribed inside a cube of side 6 cm. Calculate the surface area of the sphere.
[3 marks]2.
A compound shape consists of a cuboid and a cylinder on top. The cuboid measures 5 cm by 4 cm by 3 cm, and the cylinder has a radius of 2 cm and height 5 cm. Find the total volume of the shape.
[5 marks]E
Error Analysis
Review the common mistakes below. Identify and correct them.
1.
A student calculates the surface area of a sphere as 4 × π × 6² = 144π. Identify the mistake and correct the calculation.
[2 marks]2.
A student finds the diagonal of a rectangular prism with sides 3, 4, and 5 cm as 7 cm. Explain the error and provide the correct length.
[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