Year 8 Maths Worksheets

Plot and name points in all four quadrants; reflections across axes; distance between points with same x or y coordinate; midpoint.

Classify quadrilaterals by properties; angle sum of polygons; exterior angles; construct triangles; identify congruent and similar figures; scale drawings.

SSS, SAS, ASA, RHS congruence conditions; identify congruent triangles; similarity conditions; scale factor; find missing sides using similarity; real-world applications. MAJOR NEW v9.

Lines of symmetry; identify and describe translations, reflections and rotations on the coordinate plane; find image coordinates; write translation rules; sequences of transformations. NEW v9 expansion.

Parts of 3D figures (faces, edges, vertices); nets of prisms and pyramids; front/side/top views; base plans. NEW v9.

Apply congruence conditions (SSS, SAS, ASA, AAS, RHS) to prove triangles congruent.

Interpret and create bar graphs, line graphs, dot plots, stem-and-leaf plots, frequency tables and circle graphs; choose the best type of graph for a dataset.

Calculate mean, median, mode and range; find missing values; effect of outliers; changes in measures; identify random, representative and biased samples; make inferences from multiple samples. NEW v9 sampling content.

Plan and carry out statistical investigations involving samples from a larger population.

Investigate how variations in distributions are affected by sample size.

Exponent notation; evaluate powers; negative bases; decimal/fractional bases; multiplication law (aᵐ×aⁿ=aᵐ⁺ⁿ); division law (aᵐ÷aⁿ=aᵐ⁻ⁿ); power rule ((aᵐ)ⁿ=aᵐⁿ); square and cube roots; solve equations.

Identify arithmetic vs geometric sequences; find terms, common difference/ratio; nth term formula; evaluate and write variable expressions for sequences; word problems.

Write and evaluate one- and multi-variable expressions; rational substitution; terms/coefficients; distributive property; simplify; add/subtract/multiply linear expressions; factorise (NEW v9); equivalent expressions.

Test solutions; write equations from words/diagrams; algebra tile models; properties of equality; one-step/two-step/multi-step equations; like terms; variables on both sides (NEW v9); word problems.

Graph inequalities (<,>,≤,≥); write from graphs; word problems; identify solutions; solve one-step and two-step inequalities; CRITICAL: sign flips when dividing by negative; graph solution sets. ALL NEW v9.

Test ordered pairs; independent/dependent variables; rate of change (gradient); complete tables; graph y=mx+c; horizontal/vertical lines; write equation from table; interpret graphs; linear vs nonlinear. NEW v9 expansion.

Multi-step word problems; guess-and-check strategy; Venn diagrams; elapsed time word problems.

Factors; divisibility rules; prime/composite; prime factorisation; HCF; LCM; classify number sets including irrational; scientific notation.

Integers on number lines; graph integers; compare and order integers.

Add, subtract, multiply and divide integers; sign rules; number-line model for negative multiplication; order of operations.

Identify rational vs irrational; lowest terms; LCD; rounding; convert decimals/fractions; recurring decimal notation; compare and order rationals.

Reciprocals; add/subtract/multiply/divide fractions, mixed numbers and decimals including negatives; word problems; all four operations; evaluate expressions.

Understand and write ratios; equivalent ratios; unit rates; compare ratios and rates in word problems; test if ratios form a proportion; solve proportions; scale drawings; estimate population size.

Constant of proportionality k = y/x; write equations y = kx from tables and graphs; graph proportional relationships; identify proportional vs non-proportional; interpret and solve problems. NEW v9.

Convert %, fraction, decimal; find % of a number; what % is one number of another; estimate percents; percent of change (increase/decrease); find original amount; solve percent equations algebraically (NEW v9).

Price lists; unit prices and total price; GST and discounts; sale prices and multi-step percent problems in Australian financial contexts.

Decimals

Factors and Multiples

Order of Operations

Percentages

Powers and Indices

Scientific Notation

Apply ratio and rate reasoning to model real-world situations; use unit rates and scale factors.

Simple events; mutually exclusive and overlapping events; two-way frequency tables (NEW v9); experimental probability; compound events and sample spaces; independent vs dependent events; counting principle. NEW v9 compound events content.

Use tree diagrams and Venn diagrams to count outcomes and calculate compound probabilities.

Conduct repeated chance experiments and simulations using digital tools to determine probabilities for compound events and interpret results.

Convert metric units of length, mass, capacity and area; choose appropriate units; estimate real-world measurements; unit fractions; problem solving.

Perimeter; area of triangle, parallelogram, rhombus, trapezium; circumference C=2πr; area of circle A=πr²; composite shapes; surface area; volume of prisms. NEW v9 circles.

Identify right triangles; a²+b²=c²; find hypotenuse; find a leg; Pythagorean triples; real-world problems; distance on coordinate grid. MAJOR NEW v9.

Convert time units; elapsed time; 12/24-hour format; duration across multiple time zones NEW v9; time zone calculations.

Three-dimensional coordinate system (x, y, z axes); locate and name points in 3D space; distance between 3D points. NEW v9.

Area

Measurement

Volume