KS3 Numeracy Year 7
Free Sample Resources

Have a look at a 'Starter for Ten', which covers a range of numeracy skills with quick questions to practice and maintain numerical fluency in Key Stage 3. 'Four of the Best', a sample Algebra Through Numeracy Problem Solving Unit presents a number investigation structured to teach KS3 algebra skills as well as problem-solving resilience and tactics.

Sustain numeracy with Hamilton’s Starters for Ten, 10-minute starters consisting of a wide range of revision questions and a ‘Think about it’ to enable reasoning and some investigation if time.
Algebra Through Problem Solving units collectively cover ALL of the algebra content for Key Stage 3.

To access Hamilton’s complete set of Key Stage 3 Numeracy materials, sign up as a Friend (just £28) or subscribe your whole maths department (£120 for up to 30 teacher logins). As an added benefit, you will also have access to Hamilton’s Upper Key Stage 2 resources which include extra support sheets on all numeracy topics.

Unit 1 Starters for Ten (free sample)



  • Place value
  • Addition and subtraction
  • Multiplication and division
  • Fractions and decimals
  • Percentages
  • Measures
  • Prime Numbers

Planning and Activities

Once a week, put a page of 10 quick numeracy questions on your whiteboard. Show the answers and let students mark their work. Check how many they are getting right. Students will keep their numeracy on the boil and you will discover any areas of uncertainty. (Please note, this is a sample document).

Unit 2 Four of the Best (free)


KS3 Programme of Study Statements
-- Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms.

-- Substitute numerical values into expressions.

-- Use the four operations applied to decimals.

-- Solve problems.

-- Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships.

Planning and Activities

Write and simplify algebraic expressions; substitute into algebraic expressions.

Numeracy and problem solving
Investigation: Four of the Best (involving revision of adding decimals)

Algebra and problem solving
Continuation of investigation: Four of the Best (including generalisation, using algebra learnt in A1)