What is a square number? Simple Definition and Examples

Definition

A square number is the result of multiplying a whole number by itself. It can be drawn as a square of dots.

Example

9 is a square number because 3 × 3 = 9. The first squares are 1, 4, 9, 16, 25, 36 and 49.

Tip

Squares sit along the diagonal of a multiplication chart.

See the square numbers highlighted on the multiplication chart.

Practise it

Quick check: try these

Work each one out on paper, then tap the question to see the answer.

15² =
Answer: 225
9² =
Answer: 81
11² =
Answer: 121
3² =
Answer: 9

Learn it in depth

Square number is part of Squares and Square Roots for Class 8: notes, formulas, solved examples with every step, common mistakes and ten practice questions with answers. Want a teacher to go through it with you? See Class 8 maths tuition.

FAQ

Square number: questions

What is a square number?

A square number is the result of multiplying a whole number by itself. It can be drawn as a square of dots. 9 is a square number because 3 × 3 = 9. The first squares are 1, 4, 9, 16, 25, 36 and 49.

What is a common mistake with square number?

Squares sit along the diagonal of a multiplication chart.

Where do students learn square number?

Squares and Square Roots is usually taught in Class 8, and the ideas come back in later classes. Chapter names and order differ by board and textbook, so follow your own textbook. We have a full page with notes, solved examples and practice questions.

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