New South Wales

Free maths worksheets for NSW, Stage 4 and Stage 5

Every Year 7 to 10 maths topic, with new questions each time and fully worked solutions. Laid out the NSW way: Stage 4, Stage 5 and the Path topics for students heading to Mathematics Advanced.

Curriculum: NSW Mathematics K-10 Syllabus (2022)
Term 4 2026: 13 Oct to 17 Dec
Next selective test: Opportunity Class Placement: 11 to 12 May 2027
NAPLAN 2027: 10 to 22 March 2027

Generate a free maths worksheet

Six questions across Foundation, Standard and Extension, with full worked solutions, written to the Australian Curriculum.

Want more than a worksheet?

Practice built from mistakes.

A worksheet is a good start. Tuterly goes further: it turns any question students get wrong into fresh practice, at the right level, on what’s likely to be in the next test or exam.

~90% of Bayside Academics students using it weekly improved their test marks

Of the Bayside Academics students who used Tuterly at least once a week, about 90% improved their school test marks.

Based on the actual school test marks of 100+ Bayside Academics students (in person and online) in Years 7 to 10, before and after using Tuterly at least once a week. How we measured this

Free worksheet Tuterly

The questionsFree worksheetThe same questions for every student on this topic.TuterlyWritten from the questions they got wrong in homework and school tests, at their level.

How manyFree worksheetOne sheet at a time.TuterlyAs many fresh questions as they need, each one different, never just the numbers swapped.*

Before a testFree worksheetPick a topic and hope it’s the right one.TuterlyA practice test covering every part of the topic. Upload the term planner and it focuses on what’s coming up.

MarkingFree worksheetCheck the answer key yourself.TuterlyMarked as they go, with the exact step that went wrong explained.

ProgressFree worksheetNothing is saved.TuterlyEvery question tracked until it’s mastered, and a weekly review for parents.

For Years 7 to 10: $8.99 a week or $29.99 a month at the launch price (from 1 April 2027, $17.99 a week or $59.99 a month), with a 7-day free trial on the monthly plan only. Better marks in 6 months, or your money back.

Or try it free now on one of their questions →

Coming soon on iPhone. Android soon after.

Free to download · 7-day free trial on monthly · Years 7 to 10 maths · On iPhone. Android coming soon

* With a subscription. Fair use applies: up to 80 snapped questions and 120 new practice questions a day per student.

Topics, laid out for NSW

Tap a topic for worked examples, a question to try and a generator set up for that topic.

Year 9 (Stage 5)

17 topics

WorksheetQuadratics WorksheetAlgebra WorksheetLinear equations and graphs WorksheetTrigonometry WorksheetPythagoras (applied)WorksheetSurface area and volume WorksheetCoordinate geometry WorksheetExponent laws WorksheetScientific notation WorksheetSimple interest WorksheetStatistics WorksheetProbability WorksheetMeasurement error WorksheetDirect proportion, rates and scale WorksheetEnlargements and scale factors WorksheetComparing data sets WorksheetVenn diagrams and two-way tables

Stage 5 Path topics

14 topics

Extension content, often for students heading to Mathematics Advanced.

WorksheetSurds and fractional indices WorksheetLogarithms and log laws WorksheetPolynomials and factor theorem WorksheetExponential and logarithmic equations WorksheetFactorising non-monic quadratics WorksheetFunction notation WorksheetLinear and non-linear simultaneous equations WorksheetSurface area and volume of pyramids, cones and spheres WorksheetCircle theorems WorksheetSine rule, cosine rule and area WorksheetSolving trigonometric equations WorksheetPythagoras and trigonometry in 3D WorksheetMean and standard deviation WorksheetCounting principles and arrangements

Maths in NSW schools

NSW teaches its own Mathematics K-10 Syllabus (2022), written by NESA. It started in Years 7 and 9 in 2024 and Years 8 and 10 in 2025.

Years 7 and 8 are Stage 4 and Years 9 and 10 are Stage 5. Every student studies the Core. Schools add Path content to suit their students, and Path topics such as surds, logarithms and polynomials are the groundwork for Mathematics Advanced in Year 11.

Tuterly's questions are written to the Australian Curriculum, which covers the same maths. The topic pages below are grouped in NSW terms so you can find what your child's class is on.

Senior maths (HSC)

Senior maths courses are Mathematics Standard, Mathematics Advanced, Mathematics Extension 1 and Mathematics Extension 2. New senior maths syllabuses started in Year 11 in 2026 and are first examined in 2027.

School terms

Term 4 2026	13 Oct to 17 Dec
Term 1 2027	3 Feb to 9 Apr
Term 2 2027	29 Apr to 2 Jul
Term 3 2027	20 Jul to 24 Sep
Term 4 2027	11 Oct to 17 Dec

Eastern division, student dates. Western division schools start Term 1 a week later.

NAPLAN 2027

Years 3, 5, 7 and 9 sit NAPLAN from 10 to 22 March 2027.

Try a free NAPLAN-style numeracy test →

Selective and gifted entry tests

Opportunity Class Placement Test

11 to 12 May 2027

For entry to Year 5 opportunity classes. Computer-based, with a 40-minute Mathematical Reasoning test and no calculator.

Selective High School Placement Test

13 to 14 May 2027

For Year 7 entry in 2028. Computer-based, with a 40-minute Mathematical Reasoning test and no calculator. From 2026 the tests are held only in NSW.

Dates are from the official pages linked below. Check them with the school or department before you plan around them.

Questions from NSW parents

What are Stage 4 and Stage 5?

In NSW, Years 7 and 8 are Stage 4 and Years 9 and 10 are Stage 5 of the Mathematics K-10 Syllabus (2022). Every student studies the Core, and schools add Path content to suit students and their plans for Year 11.

My child is in an Advanced or Path class. Which worksheets should they use?

Start with the topic pages for their year, then move to the Stage 5 Path topics such as surds, logarithms and polynomials. Those are the topics Mathematics Advanced builds on.

Do these worksheets follow the NSW syllabus?

They cover the same maths. The questions are written to the Australian Curriculum, and the topics are grouped here in NSW Stage 4, Stage 5 and Path terms. They aren't produced or endorsed by NESA.

When is the selective high school test?

For Year 7 entry in 2028, the Selective High School Placement Test is on 13 or 14 May 2027, and includes a 40-minute Mathematical Reasoning test. Check the NSW Department of Education page for your child's date.

Sources (checked 30 October 2026)

Tuterly isn’t affiliated with or endorsed by any state education authority.

Better maths marks start with the next wrong answer.

Tuterly turns every missed maths question into practice tailored towards the student, not just a generic worksheet.