Algebraic thinking for 11+ maths: a parent's guide
21 October 2026
What is algebraic thinking
Algebraic thinking at 11+ level means using symbols (usually letters) to represent unknown numbers. Children are expected to form and solve simple equations, substitute values, and create expressions from word problems.
Why it matters in the 11+
Many children find algebra intimidating at first, especially when letters appear in place of numbers. The good news is that 11+ algebra focuses on core skills such as substitution, forming expressions, and solving one or two-step equations.
Key insight: Letters are just mystery numbers
The most important idea is that a letter like x or y simply stands for a number we do not know yet. Once children accept this, most algebra questions become much less daunting.
Worked example
Step 1: Let's say a word problem says: 'Twice a number, plus 4, makes 10.'
Step 2: Use a symbol for the unknown. Let x be the number.
Step 3: Write the equation: 2x + 4 = 10
Step 4: Subtract 4 from both sides: 2x = 6
Step 5: Divide both sides by 2: x = 3
The solution is x = 3.
Common pitfalls
Children often forget to do the same operation to both sides of an equation. Remind them to keep equations balanced at every step.
Building confidence with symbols
Encourage your child to practise writing expressions for everyday situations. For example, 'If apples cost a pence each, what is the cost of 3 apples?' The answer is 3a.
Summary: Why algebraic thinking matters
Algebraic thinking helps children solve problems logically and prepares them for more advanced maths. Mastering these basics is a key part of 11+ success.
