LT

Grade 9 mathematics tests

Grade 9 mathematics tests cover rational expressions, quadratic trinomials, quadratic equations, functions and their domains. Further tasks practise systems of equations, linear functions, number sequences, trigonometry, circle geometry and correlation in data.

Number sequences

Dynamic arithmetic and geometric sequences, nth terms, recursive rules and contextual patterns.

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Quadratic equations

Dynamic incomplete and complete quadratic equations, discriminants, root counts and word modelling.

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Quadratic trinomials and factorisation

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.

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Rational expressions

Dynamic domain, simplification, operations and evaluation tasks with rational expressions.

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Systems with a quadratic equation

Dynamic line-parabola systems, intersections, substitution and contextual modelling.

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Functions: domain and range

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.

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The linear function y = kx + b

Dynamic line equations, slopes, parallelism, intersections, graphs and practical linear models.

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Quadratic functions and parabolas

Dynamic parabola direction, vertex, axis, zeros, intercepts, graphs and coefficient effects.

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Circle angles, chords and tangents

Dynamic central and inscribed angles, tangents, chords, arcs and circle theorems.

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Sine, cosine and tangent

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.

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Applications of trigonometry

Dynamic height, distance, slope, shadow and motion problems using trigonometric ratios.

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Scatter plots and correlation

Dynamic correlation direction, trend-line prediction, sample reliability and causation interpretation.

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