Year 10 Maths

Free interactive notes for every chapter of NSW Year 10 Maths: surface area and volume of cones and spheres, surds and exponentials, probability, statistics, linear relationships, circle geometry, trigonometry with the sine and cosine rules, quadratic equations, graphs and functions, and logarithms and polynomials.

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 10 completes Stage 5 and is the launch pad for Year 11 Mathematics Advanced and Extension 1. It builds on the Year 9 Maths notes. Sections that go beyond the core course (circle geometry, logarithms, polynomials and some graphs) are marked as extension topics. Tap Mark as mastered after each section to track your progress on this device. No account needed.

Chapters

1 Surface area and volume 4 sections

Converting units, accuracy of measurements, surface area and volume of prisms, cylinders, pyramids, cones and spheres, and composite solids.

Notes Quizzes
2 Surds, indices and exponentials 4 sections

Rational and irrational numbers, operations with surds, binomial products and rationalising denominators, fractional indices, exponential equations and exponential growth and decay.

Notes Quizzes
3 Probability 3 sections

Set notation, mutually exclusive events and the addition rule, conditional probability from tables and Venn diagrams, and independent and dependent events with tree diagrams.

Notes Quizzes
4 Statistics 4 sections

Collecting and misusing data, summary statistics, comparing data sets with box plots, standard deviation, time-series data, bivariate data, scatter plots and lines of best fit.

Notes Quizzes
5 Equations and linear relationships 4 sections

Harder linear equations and inequalities, equations of lines, parallel and perpendicular lines, distance and midpoint, applications of simultaneous equations, and regions on the Cartesian plane.

Notes Quizzes
6 Circle geometry 5 sections

Extension: circle terminology, chord properties, angles at the centre and circumference, angles in the same segment and semicircle, cyclic quadrilaterals, tangents and the alternate segment theorem, and intersecting chords, secants and tangents.

Notes Quizzes
7 Trigonometry 5 sections

Exact values, trigonometric ratios of obtuse angles, the sine rule, the cosine rule, the area of a triangle, the four quadrants and graphs of sine, cosine and tangent.

Notes Quizzes
8 Quadratic expressions and equations 4 sections

Factorising quadratics, completing the square, solving quadratic equations by factorising, completing the square and the quadratic formula, the discriminant, and quadratic problems.

Notes Quizzes
9 Functions and graphs 4 sections

Sketching parabolas by completing the square, intersections of lines and parabolas, function notation, domain and range, circles, exponential graphs, hyperbolas, cubics and transformations of graphs.

Notes Quizzes
10 Logarithms and polynomials 4 sections

Extension: logarithms and their laws, solving exponential equations with logarithms, polynomial language, evaluating and dividing polynomials, and the remainder and factor theorems.

Notes Quizzes