Learning Level 10 · often taught in Year 10
Level 10 Mathematics
Investigate algebraic functions, growth, geometry, bivariate data and probability; extension topics can support later study.
Academy topic groups
These examples include revision and extension ideas. They are not a complete list of official expectations for this level. Check your child's needs with their teacher.
Number and Algebra
- Manipulate algebraic expressions involving surds and simple rational expressions
- Solve quadratic equations by factorising, using the quadratic formula and completing the square
- Graph parabolas, exponential and circle relations and describe their key features
- Solve linear and simple non-linear simultaneous equations
- Apply exponential growth and decay to real-world contexts such as compound interest
- Use function notation and identify inverse relationships
Measurement and Geometry
- Solve right-angled trigonometry problems in two and three dimensions
- Use bearings, angles of elevation and depression to solve applied problems
- Calculate the surface area and volume of spheres, cones and pyramids
- Prove geometric results about congruent and similar triangles using formal reasoning
- Use coordinate geometry to prove geometric properties on the Cartesian plane
Statistics and Probability
- Investigate bivariate numerical data using scatter plots and lines of best fit
- Compare data sets using parallel box plots and back-to-back stem-and-leaf plots
- Calculate standard measures such as interquartile range
- Use conditional probability and Venn diagrams for compound events
- Interpret and critically evaluate statistical reports found in the media
Practise these topics
Turn Level 10 into real skills
Try topic quizzes and worked explanations, then review progress together. Choose practice that matches what your child is learning now.