a^(1/n): Fluency & Practice
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and calculating fractional indices a^(1/n), designed for GCSE Higher students to develop procedural fluency.
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a^(1/n): 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 value of 16^(1/2).
[2 marks]2.
Evaluate 81^(1/4).
[2 marks]3.
Simplify (8)^(2/3).
[3 marks]4.
Calculate the value of 125^(1/3).
[2 marks]5.
Express 16^(1/4) as a simplified radical.
[2 marks]6.
Evaluate (32)^(1/5).
[2 marks]7.
Calculate the value of 243^(1/5).
[2 marks]8.
Simplify (64)^(1/6).
[2 marks]9.
Calculate 100^(1/2).
[2 marks]10.
Evaluate 16^(3/4).
[2 marks]11.
Express 81^(1/2) as a radical and simplify.
[3 marks]12.
A cube has side length 8 units. Find the length of its space diagonal using fractional indices.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet