Squares and Square Roots Practice Questions
19 October 2026
Squares and square roots in 11+ Maths
Squares are numbers multiplied by themselves, like 4 × 4 = 16. Square roots are the opposite: the number that, when multiplied by itself, gives the original number. Both are key for 11+ problem solving and appear often in reasoning questions.
Example questions to try together
1. What is the square of 7?
2. Find the square root of 81.
3. Which of these numbers is a perfect square: 18, 25, 30?
4. The area of a square is 49 cm². What is the length of one side?
5. Is 50 a perfect square? How do you know?
How to solve these problems
Encourage your child to write out squares up to at least 12 × 12 to spot patterns. For square roots, look for numbers that multiply to make the target number. If it is not a perfect square, explain that its square root is not a whole number. Use visual aids like drawing squares to reinforce the concept.
Key insight: Progress comes from regular practice
Working through a variety of questions and reviewing mistakes helps children build confidence. Revisiting errors together makes it easier to spot patterns and avoid similar mistakes in future.
Encourage calm, steady practice
Sit with your child and talk through each question. Praise their effort, not just correct answers. For extra support and structured practice, explore the squares and square roots resources on EEZY BREEZY MATHS.
