Algebra reasoning for 11+ maths
22 October 2026
Why algebra reasoning matters
Algebra reasoning is a key part of the 11+ maths exam. It helps children use logic and spot patterns, not just remember rules. Many questions test their ability to solve problems step by step.
What is algebra reasoning
Algebra reasoning means thinking through maths problems that use letters or symbols to stand for numbers. Children need to work out what these unknowns are, often by following a series of steps.
Worked example: solving a simple equation
Let's solve 3x + 5 = 20.
Step 1: Subtract 5 from both sides
3x + 5 - 5 = 20 - 5
This gives 3x = 15.
Step 2: Divide both sides by 3
3x ÷ 3 = 15 ÷ 3
This gives x = 5.
The answer
The solution to the equation is x = 5.
Key insight: Algebra reasoning helps children break down problems and find answers logically. This skill is tested in many 11+ maths questions, so regular practice can build confidence.
