Simplifying √n: Fluency & Practice
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on developing fluency in simplifying surds of the form √n, including procedural practice, reasoning, and application questions.
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Simplifying √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.
Simplify √50.
[2 marks]2.
Simplify √72.
[2 marks]3.
Simplify √200.
[2 marks]4.
Simplify √128.
[2 marks]5.
Express √180 in simplest form.
[2 marks]6.
Simplify √108.
[2 marks]7.
Factorise √180 into a product of √a and √b, then simplify.
[3 marks]8.
A square piece of material has an area of 75 cm². Find the length of one side in simplest surd form.
[3 marks]9.
Construct a rectangle on the grid with sides √18 and √50. Calculate and simplify the area.
[3 marks]10.
Simplify √128 + √72.
[2 marks]11.
Identify and correct the mistake: Simplifying √180 results in 12√3.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet