√a ÷ √b: Fluency & Practice
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on dividing surds of the form √a ÷ √b, designed to enhance procedural fluency and problem-solving skills for Grade 7 students.
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√a ÷ √b: Fluency & Practice
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the value of √16 ÷ √4.
[2 marks]2.
Simplify √25 ÷ √5.
[2 marks]3.
Express √81 ÷ √9 as a simplified surd.
[2 marks]4.
Calculate √49 ÷ √7.
[2 marks]5.
Simplify √144 ÷ √36.
[2 marks]6.
Express √100 ÷ √25 as a simplified surd.
[2 marks]7.
Calculate √36 ÷ √9.
[2 marks]8.
Simplify √64 ÷ √16.
[2 marks]9.
Express √81 ÷ √3 as a simplified surd.
[2 marks]10.
A water tank is filling such that the volume V in litres is proportional to √t, where t is time in hours. Write an expression for V in terms of t if at t=4 hours, V=12 litres.
[3 marks]11.
If √a ÷ √b = 3 and √a = 6, find the value of √b.
[2 marks]12.
Identify and correct the mistake: Simplify √36 ÷ √4 = √(36/4) = √9 = 3.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet