SmartStart logo SmartStart

Ages and subjects explained

Please note that age ranges are provided as a guide only. Class selection should be based on each learner's individual needs, ability and readiness.

KS3 Mathematics

Key Stage 3 | School Years 7–9 | Suggested ages ~11–14

Students consolidate and build on the mathematical skills developed in primary school, developing confidence in number, algebra, geometry and problem-solving.

Recommended workbooks
View KS3 curriculum details

Curriculum areas

  1. Number: integers, place value, factors, multiples, fractions, decimals, percentages, powers, roots, negative numbers, rounding and estimation.
  2. Algebra: simplifying expressions, solving equations, substitution, coordinates, graphs, sequences and inequalities.
  3. Ratio, Proportion and Rates of Change: scale factors, scale drawings, direct/inverse proportion introduction and unit conversions.
  4. Geometry & Measures: angle rules, polygons, area, perimeter, volume, transformations and introduction to Pythagoras’ theorem.
  5. Statistics & Probability: averages, range, charts, graphs, sample spaces and likelihood.

Purpose at KS3

  • Build fluency, mathematical reasoning and problem-solving across all strands.
KS4 Mathematics

Key Stage 4 | School Years 10–11 | Suggested ages ~14–16

Deepens mathematical understanding and prepares learners for GCSE Mathematics. Students can work towards either Foundation or Higher tier qualifications.

Recommended workbooks
View KS4 curriculum details

Curriculum areas

  1. Number: complex calculations, surds, bounds, error intervals and extended use of standard form.
  2. Algebra: quadratics, simultaneous equations, non-linear graphs, rearranging formulae, algebraic proof and inequalities.
  3. Ratio, Proportion & Rates of Change: direct/inverse proportion, compound measures, growth, decay and gradients.
  4. Geometry & Measures: trigonometry, circle theorems, vectors, 3D geometry, surface area and volume.
  5. Statistics & Probability: cumulative frequency, box plots, histograms, tree diagrams, Venn diagrams and grouped data.

Purpose at KS4

  • Master the content needed for GCSE Mathematics.
  • Apply maths to more complex and unfamiliar problems.
  • Develop mathematical argument, reasoning and modelling skills.
Functional Skills Mathematics

Key Stages 2–4 | Ability-dependent | Suggested ages ~9–16

Builds practical maths skills for everyday life, work and further education. Learners can progress through Entry Level 3, Level 1 and Level 2 qualifications at a pace suited to their individual ability.

Recommended workbooks
Maths recommended accessories

Maths Accessories

Recommended Accessories
Environmental Studies

Key Stages 3–4 | School Years 7–11 | Suggested ages ~11–16

Explores the relationship between people and the environment. Learners investigate environmental issues through topics linked to science, geography, economics and society.

Recommended coursebook
Physical Education (P.E.)

Key Stages 3–4 | School Years 7–11 | Suggested ages ~11–16

Combines practical sport with classroom-based learning. Topics may include anatomy, physiology, health, fitness, training methods and sports psychology.

Recommended text
Administration & IT

Key Stages 3–4 | School Years 7–11 | Suggested ages ~11–16

Develops organisational, administrative and digital skills for education and employment. Learners gain experience using IT systems and workplace-related practices.

Recommended text
Guitar Lessons

Late Key Stage 2 onwards | School Year 5+ | Suggested ages ~9+

Suitable for beginners and those returning to guitar after a break. Learners develop playing techniques, musical confidence and performance skills in a supportive group setting.

Recommended workbook
Recommended accessories

Disclosure: Some links on this page are affiliate links. As an Amazon Associate, I earn from qualifying purchases at no extra cost to you.

Key stages age groups simplified

Key Stage Year Groups Age of Children
EYFS
Early Years Foundation Stage		 Nursery, Reception Year 0–5
Key Stage 1 Year 1–2 5–7
Key Stage 2 Year 3–6 7–11
Key Stage 3 Year 7–9 11–14
Key Stage 4 Year 10–11 14–16
Key Stage 5 / Sixth Form Year 12–13 16–18