claritute
NSW STAGE 5 · YEARS 9–10

Year 9 & 10 maths tutoring — NSW Stage 5

Stage 5 is where the HSC is won or lost. Claritute makes Years 9 and 10 clear — trigonometry, quadratics, surface area, financial maths and more — and builds the solid foundation senior maths stands on.

Start your 7-day free trial →Built by a registered NSW teacher.
Free for 7 days, then $25/month.

The highest-leverage maths years

By Year 9 and 10, maths splits into pathways and the content that feeds straight into the HSC arrives — trigonometry, non-linear graphs, quadratics, surface area and volume, financial mathematics. Marks here shape which senior course a student can take, so clarity now pays off for years.

Claritute covers Stage 5 the way it should be taught: every concept drawn, every worked example completed, then practised. It is mapped to the NSW syllabus, and because Stage 5 is the foundation the HSC is built on, closing gaps now — with the free Gap Finder — is the highest-leverage maths work a family can do before senior school.

What we cover in Years 9–10

95 lessons across 16 NSW Stage 5 topics — core and higher pathways.

Pythagoras and trigonometry

applies trigonometric ratios to solve right-angled triangle problems

12 lessons

Linear relationships

determines the midpoint, gradient and length of an interval, and graphs linear relationships, with and without digital tools

10 lessons

Algebraic techniques

simplifies algebraic fractions with numerical denominators and expands algebraic expressions

9 lessons

Equations

solves linear equations of up to 3 steps, limited to one algebraic fraction

9 lessons

Indices

simplifies algebraic expressions involving positive-integer and zero indices, and establishes the meaning of negative indices for numerical bases

9 lessons

Non-linear relationships

identifies connections between algebraic and graphical representations of quadratic and exponential relationships in various contexts

9 lessons

Data analysis

compares and analyses datasets using summary statistics and graphical representations

6 lessons

Financial mathematics

solves financial problems involving simple interest, earning money and spending money

6 lessons

Numbers of any magnitude

solves measurement problems by using scientific notation to represent numbers and rounding to a given number of significant figures

4 lessons

Area and surface area

solves problems involving the surface area of right prisms and practical problems involving the area of composite shapes and solids

3 lessons

Functions and other graphs

uses function notation to describe and graph functions of one variable and graphs inequalities in one and 2 variables

3 lessons

Logarithms

establishes and applies the laws of logarithms to solve problems

3 lessons

Polynomials

defines, operates with and graphs polynomials and applies the factor and remainder theorems to solve problems

3 lessons

Probability

solves problems involving probabilities in multistage chance experiments and simulations

3 lessons

Properties of geometrical figures

identifies and applies the properties of similar figures and scale drawings to solve problems

3 lessons

Volume

solves problems involving the volume of composite solids consisting of right prisms and cylinders

3 lessons

Why families choose Claritute

🔍 Free Gap Finder

Find the missing block — fast

A short diagnostic pinpoints exactly which earlier skill is causing the trouble, then builds the plan around it. Foundations first; confidence follows.

✏️ Worked examples that teach

Then it’s their turn — every time

Every concept is drawn, not described — 800+ original diagrams — and each worked example hands the pen back with a matching question and a self-check.

🍎 A registered NSW teacher

Built and taught by Angelo Hanna

Every lesson is written, checked and taught by a registered NSW teacher and mapped to the NSW K–10 syllabus — so home lines up with school. Not scraped, not outsourced.

Other year levels

Frequently asked questions

What is Stage 5 maths in NSW?

Stage 5 is Years 9 and 10 of the NSW Mathematics K–10 syllabus. It covers algebraic techniques, equations, linear and non-linear relationships, functions and graphs, indices and surds, Pythagoras and trigonometry, area, surface area and volume, financial mathematics, data analysis, probability, and — in the higher pathway — polynomials and logarithms.

Does Claritute prepare my child for the HSC?

Claritute covers Years 3–10, up to and including Stage 5. It does not teach the Year 11–12 HSC courses themselves — but Stage 5 is the foundation those courses are built on. Going into Year 11 with Stage 5 solid is the single biggest predictor of HSC maths success, and that is exactly what Claritute secures.

Do you cover trigonometry and quadratics?

Yes — Pythagoras and trigonometry is one of the most thoroughly covered areas of the library, and quadratics sit within the equations and non-linear relationships topics, each taught step by step with diagrams.

What about the Year 10 pathways (Standard vs Advanced)?

The library spans both the core Stage 5 outcomes and the higher-pathway topics (such as polynomials and logarithms), so it suits students heading toward Standard, Advanced or Extension senior courses. The Gap Finder helps identify which level a student is genuinely ready for.

Is there a free trial?

Yes — 7 days free with full access to every Stage 5 lesson, practice exams and the Gap Finder. After that it is $25 a month for the whole Years 3–10 library.

Build the foundation the HSC is built on.

Start the free trial →7 days free · cancel anytime · built by a registered NSW teacher