Class 8 Mathematics: Squares and Square Roots

How this worksheet helps your child

• Builds confidence in core Mathematics concepts taught in Class 8 through repeated, varied practice.
• Aligned to CBSE and NCERT — questions mirror the pattern children see in school tests and unit assessments.
• Comes with an answer key so parents and students can self-check in minutes, without needing a teacher.
• Pitched at medium level — use it for daily homework, weekend revision or quick exam warm-ups.

About this worksheet

Help your Class 8 student master an essential mathematical concept with our 'Squares and Square Roots' practice worksheet. Designed specifically for the CBSE curriculum, this worksheet is an excellent resource for students looking to reinforce their understanding of squaring numbers, identifying perfect squares, and calculating square roots. As a foundational topic in mathematics, proficiency in squares and square roots is crucial for future studies in algebra, geometry, and other advanced subjects. This medium-difficulty worksheet provides focused practice, making it ideal for students preparing for school exams, those needing extra practice to solidify concepts, or anyone wanting to build a strong mathematical base aligned with NCERT guidelines. It's perfect for both home study and classroom use, offering a clear path to understanding how numbers behave when multiplied by themselves, and how to reverse that process.

What your child will learn

• Practice calculating squares of various numbers.
• Identify perfect squares efficiently.
• Apply different methods to find the square root of numbers.
• Solve problems involving squares and square roots accurately.
• Recognise the relationship between squaring and finding the square root.

Understanding the concept

Understanding squares and square roots is like learning two sides of the same coin in mathematics. When we 'square' a number, we simply multiply that number by itself. For example, if we take the number 5 and square it, we do 5 multiplied by 5, which equals 25. We write this as 5² = 25. The number 25, which results from squaring a whole number, is called a 'perfect square'. Other examples of perfect squares include 4 (because 2x2=4), 9 (because 3x3=9), and 100 (because 10x10=100). The 'square root' is the opposite operation. It asks: 'what number, when multiplied by itself, gives us this perfect square?' So, the square root of 25 is 5, because 5 multiplied by 5 gives 25. We use a special symbol, √ (called a radical symbol), to denote a square root. So, √25 = 5. Finding square roots often involves methods like prime factorization or long division, especially for larger numbers, to break down the number into its core components and identify the number that was multiplied by itself. This topic helps students grasp the properties of numbers and develops their problem-solving skills.

Tips for parents & teachers

• Encourage your child to review the definitions of 'square' and 'perfect square' before starting the worksheet.
• Suggest using a separate sheet of paper for rough work and calculations, especially for square root problems.
• Discuss different methods for finding square roots (e.g., prime factorization) and let your child choose the one they are most comfortable with.
• After completing, go over the answers together and revisit any incorrect solutions to understand the mistakes.
• Connect this topic to real-world scenarios, like calculating the area of a square garden, to make it more relatable.

Topics covered

How to use this worksheet at home

Open the print view and use your browser's Print dialog to print on regular A4 paper or save as a PDF. Hand the printed sheet to your child (Class 8) and set a relaxed time limit — 15 to 25 minutes works for most Mathematics worksheets. When they're done, open the "With answer key" view and let them self-mark question by question. Re-print as many times as you need; the file never expires and there's no download limit.

Frequently asked questions

Is this Mathematics worksheet really free?

Yes — every workbook on WorkbookWala is 100% free to download and print. No login, no email, no paywall. We're free for students, parents and teachers.

Is it aligned to the CBSE / NCERT syllabus?

Yes. All Class 8 worksheets are built around the CBSE and NCERT pattern so they map cleanly to what your child is studying in school.

Can I print this worksheet at home?

Yes. Click "Open print view" and use your browser's Print dialog to print on standard A4 paper, or save it as a PDF for later. The layout is designed to fit cleanly without scaling.

Does it include an answer key?

Yes — click "With answer key" to print a version with answers included, so parents and students can self-mark in minutes.