MathsFreePrintable
Perfect Squares and Roots
A free maths worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Perfect Squares and Roots
Complete each question. Show your working where asked.
Perfect squares and square roots
1.Select every perfect square in this list: 36, 45, 64, 81, 90.
- 36
- 45
- 64
- 81
- 90
2.What is the principal square root of 121?
- 10
- 11
- 12
- 13
3.Use the distributive property to expand and calculate 17² = (10 + 7)². Show your steps.
4.Find the missing value: 14² = .
5.Find the missing value: √225 = .
Estimating square roots
6.Between which consecutive whole numbers does √70 lie?
- Between 6 and 7
- Between 7 and 8
- Between 8 and 9
- Between 9 and 10
7.Between which consecutive whole numbers does √95 lie?
8.Match each number to the pair of consecutive whole numbers that contains its square root.
- √30
- √55
- √130
- √210
- Between 14 and 15
- Between 5 and 6
- Between 7 and 8
- Between 11 and 12
9.Explain a reliable way to estimate the square root of a number that is not a perfect square. Use √115 as your example.
Using squares and roots
10.A square vegetable patch has an area of 196 m². What is the length of one side, and what is its perimeter?
11.A square mosaic is made from 289 small tiles arranged in equal rows and columns. How many tiles are in each row?
12.Write the first five positive perfect squares, beginning with 1. Then find the differences between neighbouring terms and describe the pattern.
3 printable pages
Page 1
Page 2
Page 3
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
