Mastering Surds
Mathematics
GCSE Foundation
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About This Worksheet
A worksheet covering Surds for GCSE Foundation students. It includes basic questions to test understanding and challenging problems to deepen reasoning skills.
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Mastering Surds
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key property: 0 imes 0 = 0^2. Use this to simplify and manipulate surds in the questions below.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify 05.
[2 marks]2.
Express 0 in terms of simpler surds.
[2 marks]3.
Calculate 0 + 4.
[3 marks]4.
Simplify 05 + 13.
[2 marks]5.
What is the value of 0 if 0^2 = 12?
[2 marks]6.
Simplify 05 - 14.
[3 marks]7.
Solve for x: 05 = 3.
[3 marks]8.
Express 0 in simplest surd form.
[2 marks]9.
Calculate the approximate value of 0 if 0^2 = 20.
[3 marks]10.
A rectangle has sides of lengths 0 and 10. Find the length of the diagonal in surd form.
[4 marks]11.
A ladder leans against a wall, forming a right-angled triangle. The height reached on the wall is 0, and the length of the ladder is 10. Express the height in surd form if the ladder's length is 10 and the base is 10.
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet