Powers of 2, 3, etc: Challenge & Extension
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A challenging worksheet focusing on the basics of powers of 2, 3, and other bases, designed to develop procedural skills and reasoning for Grade 8 students.
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Full preview • 12 questions
Powers of 2, 3, etc: Challenge & Extension
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of 2^5.
[1 mark]2.
Simplify the expression: 3^3 × 3^4.
[2 marks]3.
What is 2^8?
[1 mark]4.
Express 81 as a power of 3.
[1 mark]5.
Calculate the value of 2^10.
[1 mark]6.
Simplify: (2^3)^4.
[2 marks]7.
A bacteria population doubles every hour, starting with 1. How many bacteria are there after 6 hours, expressed as a power of 2?
[3 marks]8.
Construct a triangle with sides of lengths 2^2, 2^3, and 2^4 units. Draw and label the sides clearly.
[3 marks]9.
Express 243 as a power of 3 and explain your reasoning.
[3 marks]10.
Identify and correct the mistake: 2^4 + 2^4 = 2^8.
[3 marks]11.
Calculate (3^2)^3 using index notation.
[2 marks]12.
Find the value of 2^15 ÷ 2^7.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet