NSW Maths Syllabus Years 1–10: Guides, Topics & Free Practice Tests
Choose your child’s year level or maths topic to understand what they are learning, read clear step-by-step explanations and start free practice instantly. No sign-up is required.
Resources are developed with reference to the NSW Mathematics K–10 Syllabus. Schools may teach topics in different sequences and at different levels of depth. Explore the complete maths practice-test resources.
How can we help your child today?
Parents and students arrive with different needs. Choose the pathway that gives you the fastest, clearest next step.
Explore by school year
See what students commonly learn in each year, understand the relevant NSW stage and open a detailed parent guide.
Select a year →Learn by maths topic
Search our topic library for fractions, algebra, percentages, equations, geometry, probability and more.
Browse all topics →Find your child’s learning gaps
A free assessment can identify prerequisite gaps, current strengths and the most useful starting topics.
Request an assessment →Choose your child’s year level
Each guide explains the year-level topics in parent-friendly language, links learning to the NSW stage and provides practical ways to support progress.
Year 1 Maths NSW Syllabus
Build number sense, number bonds, early operations, equal groups, fractions, measurement, time and shapes.
Year 2 Maths NSW Syllabus
Strengthen place value, mental strategies, equal grouping, sharing, fractions, measurement, data and chance.
Year 3 Maths NSW Syllabus
Develop multiplication and division strategies, fractions, measurement, geometry, data and early NAPLAN skills.
Year 4 Maths NSW Syllabus
Extend whole-number operations, fractions, decimals, area, perimeter, angles, maps and data interpretation.
Year 5 Maths NSW Syllabus
Apply larger-number operations, decimals, percentages, fractions, volume, coordinates, probability and NAPLAN reasoning.
Year 6 Maths NSW Syllabus
Prepare for high school through multi-step operations, fractions, decimals, percentages, algebra, geometry and statistics.
Year 7 Maths NSW Syllabus
Build high-school foundations in integers, fractions, algebra, equations, measurement, geometry, data and probability.
Year 8 Maths NSW Syllabus
Develop linear relationships, rates, ratios, percentages, indices, geometry, Pythagoras and statistical reasoning.
Year 9 Maths NSW Syllabus
Advance algebra, index laws, surds, trigonometry, financial maths, linear relationships, geometry and probability.
Year 10 Maths NSW Syllabus
Consolidate quadratics, advanced algebra, trigonometry, non-linear relationships, statistics, probability and financial maths.
| NSW stage | School years | Broad learning focus |
|---|---|---|
| Stage 1 | Years 1–2 | Number sense, early operations, equal groups, fractions, measurement, shapes, data and chance. |
| Stage 2 | Years 3–4 | Multiplication and division, fractions and decimals, measurement, geometry and data displays. |
| Stage 3 | Years 5–6 | Multi-digit operations, percentages, early algebra, coordinates, probability and statistical reasoning. |
| Stage 4 | Years 7–8 | Integers, algebra, equations, ratios and rates, geometry, data and probability. |
| Stage 5 | Years 9–10 | Advanced algebra, quadratics, trigonometry, financial maths, relationships, statistics and probability. |
View the official NSW Mathematics K–10 Syllabus and the Department of Education’s K–6 scope and sequence resources.
Search for a maths topic
Use the search box or filters to find a clear guide, worked examples and practice resources.
Addition Basics
Build number bonds, counting-on strategies, bridging to 10 and confidence with addition.
Learn and practise →Subtraction Basics
Understand taking away, finding the difference, counting back and related number facts.
Learn and practise →Multiplication Basics
Connect equal groups, repeated addition, arrays, skip counting and multiplication facts.
Learn and practise →Fractions
Learn equal parts, fraction language, representations and foundational fraction concepts.
Learn and practise →Fractions and Decimals
Convert between fractions and decimals and understand how the two representations connect.
Learn and practise →Percentages
Calculate percentages, discounts, increases, decreases and percentage word problems.
Learn and practise →Simple Interest
Understand the simple interest formula and apply it to practical financial problems.
Learn and practise →Simple Linear Equations
Learn to balance equations, isolate the unknown and check solutions step by step.
Learn and practise →Indices and Index Laws
Understand powers and apply multiplication, division and power-of-a-power index laws.
Learn and practise →Quadratic Equations
Solve quadratic equations using factorisation and other appropriate methods.
Learn and practise →Parabolas
Understand quadratic graphs, intercepts, vertices, symmetry and common parabola forms.
Learn and practise →Logarithms
Connect logarithms to indices and practise common logarithm laws and equations.
Learn and practise →Number Plane and Straight Lines
Plot points, understand gradient and identify the y-intercept of a straight line.
Learn and practise →Advanced Number Plane
Extend coordinate geometry and linear relationships through worked examples and practice.
Learn and practise →Pythagoras’ Theorem
Find missing side lengths in right-angled triangles and solve practical problems.
Learn and practise →Trigonometry
Use sine, cosine and tangent to calculate unknown sides and angles in triangles.
Learn and practise →Probability
Describe chance, calculate simple probabilities and compare theoretical and experimental results.
Learn and practise →Mental Maths Games
Practise arithmetic, number lines and recall skills through short interactive maths games.
Learn and practise →BODMAS and Order of Operations
Apply brackets, orders, division, multiplication, addition and subtraction in the correct sequence.
Learn and practise →Division Basics
Learn sharing, grouping, fact families, remainders and step-by-step division strategies.
Learn and practise →Algebra Made Easy
Understand variables, coefficients, terms and the foundations needed for equations and graphs.
Learn and practise →Adding and Subtracting Fractions
Use common denominators to add and subtract proper, improper and mixed fractions.
Learn and practise →Multiplying and Dividing Fractions
Multiply fractions, use reciprocals for division and simplify answers accurately.
Learn and practise →Ordering Decimals
Compare decimal place values and order decimal numbers using reliable visual strategies.
Learn and practise →Expanding and Factorising
Expand brackets, collect like terms and factorise expressions using common factors.
Learn and practise →Algebra Substitution
Substitute values into algebraic expressions and evaluate them using the correct order.
Learn and practise →Essential Geometry Formulae
Review perimeter and area formulae for triangles, quadrilaterals and circles.
Learn and practise →2D Spatial Relations
Explore transformations, similarity, congruence and spatial reasoning in the Year 9 syllabus.
Learn and practise →Year 4 Maths Practice Test
Practise Year 4 number, measurement, geometry, data and reasoning questions.
Learn and practise →Free NSW Maths Practice Tests
Open the complete practice-test library for NSW primary and high-school students.
Learn and practise →What does your child need help with?
Parents often know the problem before they know the exact maths topic. Choose the situation that best matches your child.
My child is behind in maths
Identify prerequisite gaps and create a practical starting plan instead of randomly repeating schoolwork.
Start with an assessment →My child has maths anxiety
Use calm, achievable steps to rebuild confidence and reduce fear around mistakes and tests.
Read the maths anxiety guide →My child is preparing for NAPLAN
Strengthen underlying maths knowledge while practising reasoning and test-style questions.
Explore NAPLAN support →My child needs extension
Move beyond routine questions into reasoning, unfamiliar problems and higher-level applications.
Discuss an extension plan →Selective School preparation
Develop speed, reasoning and advanced problem-solving while protecting conceptual understanding.
View Selective preparation →OC Test preparation
Build the mathematical reasoning and problem-solving skills needed for Opportunity Class testing.
View OC Test preparation →Homework is becoming stressful
Separate the immediate homework question from the underlying skill gap causing repeated difficulty.
Ask about personalised support →Moving into high school
Check fractions, decimals, percentages, multiplication, division and early algebra before Year 7.
Open the Year 7 guide →Understand → See → Practise → Check → Improve
Strong learning happens when a student understands the method, sees it applied, practises at the right level and receives a clear next step.
Not sure which maths skills your child is missing?
A student may be completing Year 7 work while still having gaps in Year 5 fractions, decimals or multiplication. We help identify the learning gaps and recommend a practical starting plan.
- Current strengths
- Priority learning gaps
- Recommended starting topics
- Personalised next steps
Clear resources, practical support and a real learning plan
The aim is not to provide more worksheets. It is to help families understand what the child should learn, where the difficulty begins and what to do next.
Parent-friendly explanations
Curriculum language is translated into practical information that parents and students can understand.
Confidence-first teaching
Students begin at an achievable level, develop secure understanding and build towards harder work.
One connected Years 1–10 pathway
Year guides and topic pages connect earlier prerequisite skills to later school mathematics.
Created by Aditya Jadhav, founder of Aussie Math Tutor NSW
Adi creates NSW-focused maths guides, practice questions and step-by-step learning resources for Years 1–10. He supports students through personalised tutoring from the main Telopea location, with an additional North Ryde location and online lessons.
Maths tutoring from Telopea, across nearby Sydney suburbs
Telopea is the main tutoring location. North Ryde is an additional lesson location, with online support also available. Explore the most relevant local service page below.
Private Maths Tutor in Telopea
Personalised Years 1–10 maths tutoring, learning-gap support and confidence-building lessons based from Telopea.
For North Ryde lesson availability, use the contact page. Telopea remains the primary location.
NSW Maths Syllabus and practice questions
Are the maths practice resources free?
Are these official NSW Government resources?
Do all NSW schools teach maths topics in the same order?
Which NSW stage is my child in?
Which students sit NAPLAN?
What should I do when I do not know my child’s current maths level?
Give your child a clear next step in maths
Explore the free resources now, or book an assessment to identify the exact skills your child should strengthen first.