Grade 10 Mathematics Practice

This test covers proportional division and practical problems involving mixtures, alloys and solutions. Students calculate part ratios, quantities and concentrations and check whether the result satisfies the conditions of the problem.

This test explores the rule of the Fibonacci sequence and ratios of consecutive terms. Tasks require students to continue the sequence, find missing terms and explain how Fibonacci numbers relate to the golden ratio.

This test focuses on solving rational equations and determining permitted variable values. Students clear denominators, check possible solutions and apply rational equations to word problems and practical situations.

This test develops methods for solving quadratic inequalities using roots and the sign of a parabola. Tasks cover selecting intervals, handling strict and non-strict boundaries and writing the solution in interval notation.

This test covers systems containing linear, quadratic and rational equations. Students use substitution or elimination, verify ordered pairs and interpret the meaning of a solution both algebraically and graphically.

This test applies the properties of similar figures and the scale factor. Tasks involve corresponding sides, perimeters and areas and develop understanding that areas change by the square of the scale factor.

This test develops understanding of key triangle lines, including angle bisectors, medians and altitudes. It also covers incircles and circumcircles, their centres and related length calculations.

This test uses the unit circle to determine trigonometric values. Tasks cover quadrants, signs of sine and cosine, obtuse and supplementary angles and checking whether a resulting value is reasonable.

This test applies the sine rule, cosine rule and the trigonometric formula for triangle area. Students select a suitable rule from the given information, calculate sides or angles and assess whether a solution is geometrically valid.

This test develops calculation and interpretation of the mean, variance and standard deviation. Tasks compare data spread, examine the effect of outliers and assess whether a sample reliably represents a population.

This test applies the addition and product rules of combinatorics. Students count possible selections and arrangements, organise a solution systematically and avoid including duplicate outcomes.

This test distinguishes theoretical probability from experimental probability and calculates the likelihood of events. Tasks cover complementary events, multistage experiments, observed frequencies and the effect of increasing the number of trials.