Mathematics
A working companion to Year 8 mathematics: concepts explained, formulas collected, worked examples, and graded practice. Each topic also exports to a printable workbook and answer key.
Topics currently ready to study.
Topics with a separate printable answer booklet.
Topics that go beyond the year's core coverage.
Number & Algebra
Year 8 core: recognise irrational numbers such as pi and roots of non-perfect squares; locate them approximately on the real number line.
Year 8 core: the three index laws for positive integer exponents, the zero exponent, and their use in simplifying expressions.
Year 8 core: converting between fractions and decimals, recognising terminating vs recurring decimals, and predicting which fractions recur from their denominator.
Year 8 core: the four operations with integers (including sign rules for multiplication and division) and with positive and negative rational numbers.
Year 8 core: percentage increases and decreases, profit and loss, GST, and percentage error in measurement or estimation.
Year 8 core: expanding single brackets, factorising by taking out a common factor, and simplifying linear expressions.
Year 8 core: solving linear equations and one-variable inequalities, graphing linear relations on the Cartesian plane, and modelling simple linear situations.
Measurement & Space
Year 8 core: perimeter and area of irregular and composite shapes by decomposition or approximation, using appropriate units.
Year 8 core: volumes and capacities of right prisms (rectangular, triangular, and general prisms), and problems involving rates of flow.
Year 8 core: using formulas for the circumference and the area of a circle; solving problems in both directions (given radius, find area; given area, find radius).
Year 8 core: duration problems in 12- and 24-hour time, and calculations involving Australian and international time zones.
Year 8 core: rates as comparisons of two quantities of different units; speed, density, pay rates, and currency conversion; applications and modelling.
Year 8 core: use Pythagoras' theorem to find missing side lengths in right-angled triangles, including in real contexts.
Year 8 core: conditions for triangles to be congruent (SSS, SAS, ASA, RHS) or similar; properties of quadrilaterals; testing shapes with an algorithm.
Statistics & Probability
Year 8 core: populations vs samples, sampling techniques and bias, comparing samples of the same size, and planning fair statistical investigations.
Year 8 core: complementary events, two-way tables, tree diagrams, Venn diagrams, and simulating repeated chance experiments.