KS3 Numeracy Year 8
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. 'Same as', 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.

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. Find out more.

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.

Unit 2 Same as (free)


KS3 Programme of Study statements

  • Model situations by translating them into algebraic expressions.
  • Use and interpret algebraic notation.
  • Substitute numerical values into expressions.
  • Simplify and manipulate algebraic expressions to maintain equivalence by collecting like terms.
  • Use the concept and vocabulary of multiples.
  • Use the 4 operations, including formal written methods, applied to integers.
  • Use the concept and vocabulary of multiples.
  • Use algebra to generalise the structure of arithmetic, including to formulate mathematical relationships.
  • Solve problems.

Planning and Activities

Numeracy and Algebra
Write in expanded form (using digits or algebra); substitute into expressions; collect like terms and simplify; recognise multiples.

Numeracy and problem solving: Investigation: Same as… (involving revision of multiplying two-digit numbers by two-digit numbers and working with products).

Algebra and problem solving: Continuation of Same as… including generalisation, using algebra learnt in Lesson 1).