NSW Maths Syllabus & Free Learning Hub for Years 1–10
One place to understand what students learn, take a Free Maths Practice Test, study 30+ maths topics and build skills through free maths games. Designed for NSW students, parents and families.
Free Maths Practice Tests for Years 1–10
Choose the student's current school year. Each test gives a quick way to check strengths and identify maths topics that may need more practice.
If your child struggles across several topics, an earlier foundation may need attention. We can help identify a practical starting point.
Choose Your Year
See the main maths skills for each school year, open the NSW syllabus guide and take the matching Free Practice Test.
Year 1 Maths
Number bonds, addition, subtraction, measurement, time and shapes.
Year 2 Maths
Place value, operations, fractions, measurement, data and chance.
Year 3 Maths
Multiplication, division, fractions, measurement, geometry and data.
Year 4 Maths
Operations, fractions, decimals, area, perimeter, angles and data.
Year 5 Maths
Fractions, decimals, percentages, volume, probability and number skills.
Year 6 Maths
Fractions, decimals, percentages, algebra, geometry and statistics.
Year 7 Maths
Integers, fractions, algebra, equations, geometry and probability.
Year 8 Maths
Rates, ratios, percentages, indices, linear graphs and Pythagoras.
Year 9 Maths
Indices, surds, algebra, trigonometry, financial maths and probability.
Year 10 Maths
Quadratics, algebra, trigonometry, non-linear graphs, statistics and probability.
NSW stages: Stage 1 = Years 1–2 • Stage 2 = Years 3–4 • Stage 3 = Years 5–6 • Stage 4 = Years 7–8 • Stage 5 = Years 9–10. Official curriculum: NSW Mathematics K–10 Syllabus .
Sometimes the fastest improvement comes from rebuilding one or two earlier skills before moving forward with current classwork.
Find a Maths Topic
Search for the topic you are learning, or choose a category below.
Addition Basics
Build number bonds and addition skills.
Learn & Practise →Subtraction Basics
Learn subtraction and find the difference.
Learn & Practise →Multiplication Basics
Learn multiplication and times tables.
Learn & Practise →Division Basics
Learn sharing, grouping and division skills.
Learn & Practise →Fractions
Understand fractions, parts and equivalent fractions.
Learn & Practise →Adding & Subtracting Fractions
Add and subtract fractions step by step.
Learn & Practise →Multiplying & Dividing Fractions
Multiply, divide and simplify fractions.
Learn & Practise →Fractions & Decimals
Convert between fractions and decimals.
Learn & Practise →Ordering Decimals
Compare and order decimal numbers.
Learn & Practise →Percentages
Calculate percentages and percentage amounts.
Learn & Practise →Negative Numbers
Understand positive and negative numbers.
Learn & Practise →BODMAS
Use the correct order of operations.
Learn & Practise →Ratios & Rates
Compare quantities using ratios and rates.
Learn & Practise →Simple Interest
Calculate interest using the simple interest formula.
Learn & Practise →Algebra Made Easy
Learn variables, expressions and basic algebra.
Learn & Practise →Like Terms
Identify and simplify like terms.
Learn & Practise →Algebra Substitution
Substitute numbers into algebraic expressions.
Learn & Practise →Simple Linear Equations
Solve one-step and multi-step equations.
Learn & Practise →Expanding & Factorising
Expand brackets and factorise expressions.
Learn & Practise →Indices & Index Laws
Learn powers, indices and index laws.
Learn & Practise →Quadratic Equations
Learn different ways to solve quadratics.
Learn & Practise →Parabolas
Understand and graph parabolas.
Learn & Practise →Logarithms
Understand logarithms, rules and equations.
Learn & Practise →Number Plane & Straight Lines
Learn coordinates, lines and graphs.
Learn & Practise →Advanced Number Plane
Build stronger coordinate and graphing skills.
Learn & Practise →Essential Geometry Formulae
Find useful area, perimeter and volume formulas.
Learn & Practise →Triangles, Quadrilaterals & Circles
Learn the properties of common 2D shapes.
Learn & Practise →2D Spatial Relations
Work with angles, shapes and spatial reasoning.
Learn & Practise →Pythagoras' Theorem
Find missing sides in right-angled triangles.
Learn & Practise →Trigonometry
Use sine, cosine and tangent.
Learn & Practise →Probability
Understand chance and probability.
Learn & Practise →A student may understand the same concept better when it is explained using a different method. Personalised tutoring can target the exact step causing difficulty.
Practise Maths Through Games
Build number fluency, memory and mental maths skills with free browser-based games.
Division Game
Practise division facts and missing numbers.
Play Free → TIMES TABLESMultiplication Tables
Practise multiplication tables progressively up to 20.
Play Free → FOUNDATIONSNumber Bonds to 10
Build fast addition and subtraction recall.
Play Free → MENTAL MATHSSpeed Arithmetic
Practise quick mental calculations.
Play Free → MEMORYMatching Pairs
Combine memory skills with mental maths.
Play Free → NUMBER LINENumber Line Game
Move along a number line to reach a target.
Play Free → EARLY YEARSKindergarten Maths
Simple number games for younger learners.
Play Free → ALL GAMESMaths Games Library
Browse the complete collection of free maths games.
View All Games →More Ways to Practise
Find NAPLAN resources, topic practice and our wider Free Practice Test library.
Free Practice Test Library
Browse our wider collection of free NSW maths practice resources.
View Practice Tests →Topic Practice
Choose a specific maths topic when you do not need a full year-level test.
Browse Topic Practice →NAPLAN Maths
Find numeracy resources for students in Years 3, 5, 7 and 9.
Explore NAPLAN →Free Maths Games
Build maths confidence and fluency through short interactive games.
Play Maths Games →A Simple Way to Use This Learning Hub
Choose Your Year
See what students are learning at that school level.
Take a Free Practice Test
Check which skills are already strong.
Find the Topic
Open the maths topic that needs more work.
Practise Again
Build confidence before moving to harder questions.
Free NSW Maths Resources
Are the Year 1–10 Free Practice Tests really free?
What is the difference between a syllabus guide and a Free Practice Test?
Are these official NSW Government resources?
Where should a student start if maths feels difficult?
Do NSW schools teach every maths topic in the same order?
Which school years complete NAPLAN?
Use the Free Hub First. Get Personalised Help When You Need It.
Explore the free tests, syllabus guides and topic resources first. If your child still needs support, Aussie Math Tutor NSW offers personalised Years 1–10 maths tutoring and free initial assessments.
