Year 10 · Ages 15–16
Level 10 Mathematics
Level 10 consolidates algebraic and geometric skills in preparation for senior mathematics. Students extend trigonometry, work with quadratic functions and data sets involving bivariate relationships, and build a foundation in statistical analysis.
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
Pi Leo Academy gives your child year-level quizzes, worked solutions and progress tracking — built around the same three strands you just read.