Dynamic arithmetic and geometric sequences, nth terms, recursive rules and contextual patterns.
Grade 9
Grade 9 Mathematics Practice
Practice Grade 9 mathematics with algebraic expressions, quadratic equations, functions, sequences, trigonometry, circle geometry and data analysis.
Practice
Tests for this grade
Dynamic incomplete and complete quadratic equations, discriminants, root counts and word modelling.
This test focuses on transforming and factorising quadratic trinomials. Tasks cover expansion, completing the square, vertex form and selecting an appropriate algebraic method for a given expression.
Dynamic domain, simplification, operations and evaluation tasks with rational expressions.
Dynamic line-parabola systems, intersections, substitution and contextual modelling.
This test develops understanding of function inputs, outputs, domain and range. Students also find zeros, determine intervals where a function is positive or negative and interpret information given by formulas or graphs.
Dynamic line equations, slopes, parallelism, intersections, graphs and practical linear models.
Dynamic parabola direction, vertex, axis, zeros, intercepts, graphs and coefficient effects.
Dynamic central and inscribed angles, tangents, chords, arcs and circle theorems.
This test applies sine, cosine and tangent in right triangles. Tasks teach students to select the correct trigonometric ratio, find an unknown side or angle and use fundamental identities.
Dynamic height, distance, slope, shadow and motion problems using trigonometric ratios.
Dynamic correlation direction, trend-line prediction, sample reliability and causation interpretation.
Full Grade 9 test
Full Grade 9 mathematics test with mixed topics, dynamically selected questions and a choice of duration. Practise before an assessment or review the whole course at your own pace.
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Learning guide
Grade 9 Mathematics topics
Key mathematics topics for this grade. Schools may teach them in a different order or add to their own plan.
- Real numbers, powers, roots and algebra
- Linear and quadratic equations, inequalities and systems
- Functions, graphs and mathematical modelling
- Plane geometry, similarity and early trigonometric ratios
- Statistical measures, counting and probability
These topics are a guide for practice. Your school may cover them in a different order or add other material.
Mathematics practice without pressure
Short mathematics tests help reinforce classroom topics, check understanding and identify what to review. Work through one topic at a time or return later; selected tests can be started without an account.