Algebraic Thinking Exercises for 11 Plus Preparation
19 October 2026
Algebraic thinking for 11 plus
Algebraic thinking helps children spot patterns, make sense of word problems, and solve puzzles using logic. For the 11 plus, this means working with symbols, unknowns, and relationships between numbers. Often before formal algebra is taught at school.
What does algebraic thinking look like in 11+
Children might be asked to find a missing value, use a symbol to stand for a number, or solve a word problem involving several steps. Examples include:
- Completing sequences with missing numbers
- Solving puzzles where a shape or letter stands for a value
- Answering questions like: 'If 3 ☐ 4 = 19, what does ☐ stand for?'
- Tackling word problems that describe relationships, such as: 'Sam is twice as old as Maya. Together they are 18. How old is each?'
Supporting your child at home
Encourage your child to talk through their thinking. Ask them to explain how they worked out an answer, or what each part of a problem means. Practising with a mix of number puzzles and word problems helps build confidence. Use everyday situations, like sharing, shopping, or planning, as a natural way to introduce algebraic ideas.
Key insight: Encourage your child to look for patterns and relationships, not just answers. Spotting how numbers connect is at the heart of algebraic thinking.
Why regular practice matters
Algebraic thinking is a skill that grows with use. By working through a variety of problems, children become more comfortable with symbols, unknowns, and multi-step reasoning. Little and often is best. Short, focused sessions help ideas stick.
