√a ÷ √b: Mixed Review
Mathematics
GCSE Higher
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet covering the division of surds of the form √a ÷ √b, including procedural practice, problem solving, real-world contexts, and challenges for GCSE Higher students.
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√a ÷ √b: Mixed Review
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: √36 ÷ √4
[2 marks]2.
Calculate: √50 ÷ √2
[2 marks]3.
Express as a simplified surd: √72 ÷ √8
[2 marks]4.
Evaluate: √81 ÷ √9
[2 marks]5.
Simplify: √200 ÷ √50
[2 marks]6.
Calculate: √18 ÷ √2
[2 marks]7.
Express in simplest form: √200 ÷ √8
[2 marks]8.
Calculate: √125 ÷ √5
[2 marks]9.
Find the value of: √288 ÷ √18
[2 marks]10.
Evaluate: √50 ÷ √8
[2 marks]11.
Construct a surd expression equivalent to √72 ÷ √8 and simplify.
[3 marks]12.
A rectangular garden has a length of √50 meters and width of √2 meters. Find its area in simplest surd form.
[3 marks]13.
If √a ÷ √b = 3 and √a = 6, find the value of √b.
[3 marks]14.
Identify and correct the mistake: Simplify √36 ÷ √9 as 6 ÷ 3 = 2.
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet