Algebra problems 11 plus practice
22 October 2026

Understanding algebra problems
Algebra problems in the 11 plus ask children to work with unknown numbers, usually shown as a letter like x or y. These questions help test logical thinking and number skills.


Why algebra matters for 11 plus
Algebra builds the foundation for more advanced maths. It teaches children to spot patterns, think flexibly, and solve problems step by step. Practising these skills helps children feel more confident and independent.
Key insight: Small daily practice makes a difference
Short, regular sessions help children become comfortable with algebra. Encourage your child to talk through their steps and check their thinking as they go.


Worked example
Solve 3x + 4 = 19
First, subtract 4 from both sides: 3x + 4 - 4 = 19 - 4
This simplifies to 3x = 15
Next, divide both sides by 3: 3x ÷ 3 = 15 ÷ 3
So x = 5
The correct answer is 5.
Supporting your child at home
Encourage your child to practise different types of algebra problems, such as finding unknowns, forming expressions, and using function machines. Remind them that making mistakes is part of learning and that reviewing errors helps build understanding.


Summary
Algebra problems for the 11 plus focus on working with unknowns and solving simple equations. With calm support and regular practice, children can grow in confidence and tackle these questions successfully.


