Simplifying √n: Problem Solving & Reasoning
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on simplifying surds of the form √n, developing procedural skills, reasoning, and applying concepts to real-world contexts.
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Simplifying √n: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
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.
Calculate √18 + √8.
[3 marks]4.
Express √200 in simplest form.
[2 marks]5.
Simplify √98.
[2 marks]6.
Construct a triangle with sides of length √50, √18, and √8. Use the grid to draw to scale.
[3 marks]7.
Find the value of √45 × √20.
[3 marks]8.
Explain why √72 can be simplified to 6√2. Include your reasoning.
[4 marks]9.
Simplify √98 + √200.
[3 marks]10.
A rectangular garden has sides of length √50 meters and √18 meters. Calculate its area in simplest surd form.
[4 marks]11.
Identify and correct the mistake: Simplify √72 to 6√2.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet