Year 8 Maths

Free interactive notes for every chapter of NSW Year 8 Maths: integers, angles and polygons, percentages, Pythagoras, area and volume, algebra and index laws, ratios and rates, equations, statistics and probability, linear graphs and congruence.

1Pick a chapter below.
2Notes: learn with clear examples, interactive graphs and flashcards.
3Practice: every section ends with questions that mark themselves, plus unlimited extra questions.

Year 8 finishes Stage 4. It builds on the Year 7 Maths notes and introduces Pythagoras' theorem, index laws, rates and straight-line graphs. Tap Mark as mastered after each section to track your progress on this device. No account needed.

Chapters

1 Computation with integers 4 sections

Number properties, divisibility and prime factorisation, HCF and LCM using primes, and all four operations with negative integers, the order of operations and substitution.

Notes Quizzes
2 Angle relationships and properties of geometrical figures 5 sections

Parallel line angle facts, the angle sum and exterior angle of a triangle, types and properties of quadrilaterals, angle sums of polygons, and Euler's formula for solids.

Notes Quizzes
3 Fractions, decimals and percentages 6 sections

Operations with positive and negative fractions, terminating and recurring decimals, percentages of quantities, percentage increase and decrease, profit and loss, and the unitary method.

Notes Quizzes
4 Measurement and Pythagoras' theorem 7 sections

Perimeter and circumference, area of quadrilaterals, circles and sectors, surface area of prisms, volume and capacity of prisms and cylinders, and Pythagoras' theorem.

Notes Quizzes
5 Algebraic techniques and index laws 5 sections

Algebra language and substitution, adding, subtracting, multiplying and dividing terms, algebraic fractions, expanding and factorising, and the index laws including the zero index and power of a power.

Notes Quizzes
6 Ratios and rates 5 sections

Simplifying ratios, dividing a quantity in a given ratio, scale drawings, rates and unit rates, best buys, and speed, distance and time.

Notes Quizzes
7 Equations and inequalities 6 sections

Solving linear equations with pronumerals on both sides, brackets and fractions, solving x² = c, using formulas, solving worded problems and solving linear inequalities.

Notes Quizzes
8 Probability and statistics 6 sections

Types of data and data displays, mean, median, mode and range, sampling, probability of single events, two-step experiments, Venn diagrams, two-way tables and experimental probability.

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9 Linear relationships 6 sections

The Cartesian plane, tables of values, finding rules, graphing straight lines, solving with graphs, intercepts, gradient, y = mx + c and simple non-linear graphs.

Notes Quizzes
10 Transformations and congruence 4 sections

Reflections, translations and rotations on the Cartesian plane, line and rotational symmetry, congruent figures, the congruence tests for triangles, and similar figures with scale factors.

Notes Quizzes