Brackets & Powers: Challenge & Extension

Mathematics
Grade 8
11 questions
~22 mins
1 views0 downloads

About This Worksheet

This worksheet focuses on mastering brackets and powers within the order of operations, with a variety of questions designed for challenge and extension.

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Full preview • 11 questions

Brackets & Powers: Challenge & Extension

Subject: MathematicsGrade: Grade 8
Name:
Date:
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: 3 + (4 × 2)^2.
[2 marks]
2.
Calculate: (5^3 - 2^3) ÷ 3.
[2 marks]
3.
What is the value of: 2 × (3 + 4)^2?
[2 marks]
4.
Compute: [(8 ÷ 2)^3] + 5.
[2 marks]
5.
Evaluate: 2^{3} + (4^2) - 3.
[2 marks]
6.
Solve: (6 + 2)^3 - (3^2 + 4).
[3 marks]
7.
A cube has side length 4 units. Find the volume using powers, and then multiply by 2.
[3 marks]
8.
Express the calculation: (2 + 3)^4 - 2^4 * 3.
[3 marks]
9.
A rectangular prism measures 3 units in width, 2 units in height, and 5 units in length. Calculate its volume using powers for each dimension.
[3 marks]
10.
Identify the mistake: Simplify (2 + 3)^2 + 4^2, but the answer given is 49.
[2 marks]
11.
Challenge: Evaluate and justify which is larger: 2^{4} + 3^{3} or 5^{2} + 3^{4}.
[3 marks]

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Details

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