Perfect Squares to 15²: Problem Solving & Reasoning

Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding and applying perfect squares up to 15², including procedural practice, reasoning, and real-world problems.

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Full preview • 11 questions

Perfect Squares to 15²: Problem Solving & Reasoning

Subject: MathematicsGrade: Grade 6
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Untitled Worksheet

Grade Grade 6
A

Introduction

Review the concept of perfect squares: a number multiplied by itself. The perfect squares up to 15² are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, and 225.
B

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate 7 squared.
[2 marks]
2.
What is the square of 12?
[2 marks]
3.
Verify whether 11² is greater than 100.
[2 marks]
4.
List all perfect squares between 20 and 50.
[3 marks]
5.
Construct a square with sides of length 4 units on the grid.
[3 marks]
6.
What is the square of 15?
[2 marks]
7.
A farmer plants a square plot of land with sides measuring 6 meters. How many square meters is the area?
[3 marks]
8.
Identify the common mistake: A student claims that 8² = 64 and 9² = 81, but then says 8² + 9² = 145. Is this correct? If not, correct the statement.
[3 marks]
9.
Estimate the square root of 100 based on perfect squares.
[2 marks]
10.
Plot the graph of y = x² for x from 1 to 5 on the grid.
[3 marks]
11.
Challenge: Find a number less than 15 whose square is greater than 100 but less than 150.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet