Like Surds Only: Fluency & Practice
Mathematics
GCSE Higher
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on adding and subtracting like surds, aimed at developing procedural fluency and reasoning skills for GCSE Higher students.
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Full preview • 12 questions
Like Surds Only: 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 the expression: √50 + √18
[2 marks]2.
Calculate: 3√8 - 2√2
[2 marks]3.
Express √72 as a simplified surd.
[2 marks]4.
If √12 + √3 = a√3, find the value of a.
[2 marks]5.
Simplify: √80 - √18
[2 marks]6.
Calculate: 5√50 + 2√8
[2 marks]7.
Express √200 as a simplified surd.
[2 marks]8.
Calculate: √45 + √20 - √5
[2 marks]9.
A farmer needs to build a rectangular pen with sides of √50 m and √18 m. Find the total length of fencing needed.
[3 marks]10.
Construct a rectangle on the grid with sides √32 and √50. Verify the perimeter is correctly calculated.
[3 marks]11.
Simplify: (√75 + √45) - (√27 + √3).
[2 marks]12.
Identify and correct the mistake: Simplify √50 + √18 as 9√2.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet