Ages 5-6 · Key Stage 1
Year 1
- Count, read and write numbers to 100
- Add and subtract numbers within 20
- Recognise and name common 2D and 3D shapes
- Understand halves and quarters as simple fractions
- Tell the time to the hour and half hour
Ages 6-7 · Key Stage 1
Year 2
- Count in steps of 2, 3 and 5, and work with numbers to 100
- Recall the 2, 5 and 10 times tables
- Add and subtract two-digit numbers
- Recognise 1/2, 1/4, 1/3 and 3/4 of a shape or quantity
- Tell the time to 5 minutes and use money in simple problems
Ages 7-8 · Key Stage 2
Year 3
- Work confidently with numbers up to 1,000
- Use formal column methods for addition and subtraction
- Learn the 3, 4 and 8 times tables
- Add and subtract simple fractions with the same denominator
- Measure perimeter and tell the time on 12- and 24-hour clocks
Ages 8-9 · Key Stage 2
Year 4
- Work with numbers up to 10,000
- Recall all times tables up to 12 x 12
- Use formal methods for multiplication and short division
- Recognise and write decimal equivalents of simple fractions
- Calculate area and begin working with negative numbers
Ages 9-10 · Key Stage 2
Year 5
- Work with numbers up to 1,000,000
- Use formal written methods for all four operations
- Convert between fractions, decimals and percentages
- Identify prime, square and cube numbers
- Calculate volume and work with angles in shapes
Ages 10-11 · Key Stage 2 (SATs year)
Year 6
- Build fluency with fractions, decimals and percentages
- Solve problems involving ratio and proportion
- Use simple formulae and basic algebraic notation
- Apply the order of operations (BIDMAS)
- Interpret pie charts and line graphs; prepare for KS2 SATs
Ages 11-12 · Key Stage 3
Year 7
- Consolidate place value, negative numbers and the four operations
- Introduce algebraic notation and simple expressions
- Work with ratio, proportion and percentages
- Explore angles, area and properties of 2D shapes
- Begin working with sequences and coordinates
Ages 12-13 · Key Stage 3
Year 8
- Solve linear equations and inequalities
- Work with percentages, ratio and direct proportion
- Plot and interpret graphs, including straight-line graphs
- Calculate probability of single and combined events
- Find the area and volume of compound shapes
Ages 13-14 · Key Stage 3 (GCSE foundations)
Year 9
- Manipulate algebraic expressions, including expanding and factorising
- Work with indices, standard form and surds
- Apply Pythagoras' theorem and basic trigonometry
- Solve problems involving probability and statistics
- Start building towards GCSE-level topics
Ages 14-15 · GCSE, Year 1
Year 10
- Cover core GCSE algebra, including quadratics and simultaneous equations
- Develop trigonometry and Pythagoras' theorem further
- Work with statistics, sampling and representing data
- Study number topics including surds, indices and standard form
- Build exam technique with topic-based assessments
Ages 15-16 · GCSE, Year 2
Year 11 (GCSE)
- Complete the full GCSE Foundation or Higher syllabus
- Focus on exam technique with past papers and mock exams
- Target problem-solving and multi-step questions
- Revise and consolidate algebra, geometry, statistics and probability
- Prepare thoroughly for the GCSE maths exams