Like Surds Only: Challenge & Extension
Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A challenge worksheet focusing on adding and subtracting like surds. Designed to develop procedural mastery, reasoning, and problem-solving skills for GCSE Foundation students.
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Full preview • 11 questions
Like Surds Only: Challenge & Extension
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: √3 + 2√3
[2 marks]2.
Calculate: 5√2 - 3√2
[2 marks]3.
Add: 4√5 + 7√5
[2 marks]4.
Subtract: 9√7 - 4√7
[2 marks]5.
Simplify: 3√2 + 2√2 + √2
[2 marks]6.
If √x + √x = 4√x, what is the value of √x?
[3 marks]7.
A rectangle has sides of length 3√2 cm and 5√2 cm. Find the perimeter.
[3 marks]8.
Construct an expression for the sum of √5 and 3√5, then simplify.
[3 marks]9.
Identify and correct the mistake: √6 + √6 = 2√12
[3 marks]10.
Evaluate: (√3 + √3)²
[3 marks]11.
Express the sum of 2√7 and 3√7 as a single surd.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet