KS3 Maths Topics: Complete Breakdown by Year Group (Years 7, 8 and 9)

Starting secondary school brings a significant step up in Maths. Key Stage 3 (KS3) covers Years 7, 8 and 9, and lays the foundations for GCSE. Understanding what is taught — and when — helps parents and students stay on top of progress and spot gaps early.

How Is KS3 Maths Structured?

KS3 Maths follows the National Curriculum and is broadly organised into five strands that run through all three years, increasing in depth and complexity:

  1. Number
  2. Algebra
  3. Ratio, proportion and rates of change
  4. Geometry and measures
  5. Statistics and probability

Year 7 Maths Topics

Year 7 consolidates primary school learning and introduces new secondary concepts:

  • Number: Negative numbers, factors, multiples, HCF, LCM, prime factorisation, powers and roots
  • Algebra: Writing and simplifying expressions, solving one-step and two-step equations, sequences
  • Geometry: Angles on lines, in triangles and quadrilaterals; area and perimeter of composite shapes; transformations
  • Statistics: Averages (mean, median, mode), range, bar charts, pie charts and scatter graphs

Explore Year 7 Maths interactive lessons and worksheets on Skoolmaths.

Year 8 Maths Topics

Year 8 builds on Year 7 and introduces more abstract concepts:

  • Number: Fractions, decimals, percentages (increases and decreases), reverse percentages
  • Algebra: Expanding brackets, factorising, solving simultaneous equations (introduction), graphs of linear functions
  • Geometry: Pythagoras’ theorem, surface area and volume of prisms and cylinders, loci and construction
  • Probability: Theoretical and experimental probability, sample space diagrams, Venn diagrams

Explore Year 8 Maths interactive lessons and worksheets on Skoolmaths.

Year 9 Maths Topics

Year 9 is the bridge to GCSE. Many schools begin GCSE content in Year 9:

  • Algebra: Quadratic expressions and equations, rearranging formulae, inequalities, functions and graphs
  • Geometry: Trigonometry (SOH CAH TOA), circle theorems (introduction), vectors
  • Number: Standard form, surds (higher tier), indices rules
  • Statistics: Cumulative frequency, box plots, histograms

Explore Year 9 Maths interactive lessons and worksheets on Skoolmaths.

How to Support Your Child Through KS3 Maths

  • Don’t wait for a problem — regular short practice (20–30 minutes, two or three times a week) maintains fluency far better than emergency catch-up sessions.
  • Algebra is the biggest jump — many students struggle with the move from arithmetic to abstract thinking. Extra support in Year 7 on algebra pays dividends through to GCSE.
  • Use curriculum-aligned resources — Skoolmaths provides interactive KS3 Maths lessons for Year 7, Year 8 and Year 9, covering every topic in the National Curriculum.