Mastering Surds
Mathematics
GCSE Higher
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A worksheet covering Surds for GCSE Higher students.
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Mastering Surds
Subject: MathematicsGrade: GCSE Higher
Name:
Date:
Untitled Worksheet
Grade GCSE Higher
A
Introduction
Review the key concept: Surds are irrational roots that cannot be simplified to a rational number. Simplify surds where possible and perform calculations involving surds.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify √50.
[2 marks]2.
Simplify √72.
[2 marks]3.
Express √128 as a simplified surd.
[2 marks]4.
Calculate √18 × √8.
[3 marks]5.
Simplify (3√5) × (2√3).
[3 marks]6.
Solve for x: √x = 7.
[2 marks]7.
Simplify √200 + √50.
[2 marks]8.
Express √180 in simplified form.
[2 marks]9.
Calculate (√12 + √27)².
[3 marks]10.
Prove that √8 + √18 = 3√2 + 3√2.
[4 marks]11.
A rectangle has sides of length 3√2 meters and √8 meters. Find its area in simplified surd form.
[5 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet