11 maths squares and square roots practice
21 October 2026
Understanding squares and square roots
Squares and square roots are key topics in 11+ maths. A square is what you get when you multiply a number by itself. The square root is the opposite: it asks which number, multiplied by itself, gives the original number.
Why these skills matter for 11+
Questions about squares and square roots often appear in 11+ exams. They test a child's understanding of number patterns, multiplication, and inverse operations. Practising these helps children spot patterns and solve problems more confidently.
How to practise at home
Start by learning the squares of numbers from 1 to 12. Once these feel comfortable, practise finding the square roots of perfect squares. Use quick recall, flashcards, or simple questions during everyday routines.
Worked example
Calculate the square of 6
6 × 6 = 36
Now find the square root of 36
√36 = 6
The answer to both is 6 and 36, showing how squares and square roots are linked.
Encouragement to practise
Regular short practice helps children remember squares and square roots. This builds confidence for the 11+ and makes more complex maths topics easier later on.
Key insight: Practising squares and square roots both ways. Finding the square and the root. Helps children understand the connection and improves recall for 11+ questions.
