Cube: Fluency & Practice

Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on the properties of a cube, including surface area, volume, and problem-solving involving cubes. Designed for GCSE Higher students to develop procedural fluency and reasoning skills.

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Full preview • 11 questions

Cube: Fluency & Practice

Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet

Grade GCSE Higher
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the surface area of a cube with side length 5 cm.
[2 marks]
2.
Find the volume of a cube with side length 3.5 meters.
[2 marks]
3.
Construct a cube on the grid with a side length of 4 units. Label the vertices.
[3 marks]
4.
A box is in the shape of a cube with a volume of 64 cm³. What is the length of each side?
[2 marks]
5.
Calculate the total surface area of a cube if each face has an area of 25 cm².
[2 marks]
6.
A cube has a surface area of 600 cm². Find its side length.
[3 marks]
7.
A cube's side length is doubled. How does its surface area change?
[3 marks]
8.
Identify the mistake: A student calculates the surface area of a cube as 6 × 3² = 54 cm². Is this correct? If not, correct it.
[3 marks]
9.
If a cube has a side length of 'x' units, express its surface area and volume algebraically.
[4 marks]
10.
A cube's surface area is increased by 50%. If the original surface area was 120 cm², what is the new surface area?
[3 marks]
11.
Challenge: A cube has a surface area of 96 cm². A second cube has a volume 8 times larger. What is the surface area of the larger cube?
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet