What Year 9 maths covers
Year 9 uses every algebra skill from Years 7 and 8. Each box links to free Year 9 worksheets for that topic.
Number
Very large and very small numbers, and money over time.
- Index laws, including zero and negative powers
- Scientific notation for very large and very small numbers
- Simple interest and other financial calculations
- Real numbers, including an introduction to surds in some schools
Algebra
From straight lines to curves.
- Expanding binomial products such as (x + 3)(x − 2)
- Factorising, including simple (monic) quadratics
- Solving linear equations and rearranging formulas
- Gradient, intercepts and the equation of a straight line
- Distance and midpoint between two points
- Graphing simple quadratics and other non-linear relationships
- Direct proportion
AlgebraQuadraticsLinear equationsCoordinate geometryDirect proportion
Measurement
Three-dimensional problems and precision.
- Surface area and volume of prisms and cylinders
- Pythagoras’ theorem in more complex problems
- Right-angled trigonometry: sine, cosine and tangent
- Measurement error, accuracy and very small or large units
Surface area and volumePythagorasTrigonometryMeasurement error
Space
Scale and similarity.
- Enlargements and scale factors
- Similar triangles and finding unknown sides
- Geometric reasoning with reasons for each step
Statistics
Comparing groups, not just describing one.
- Histograms and back-to-back stem-and-leaf plots
- Describing shape: symmetric and skewed data
- Comparing two data sets using centre and spread
- Questioning how data was collected
Probability
Two steps at a time.
- Two-step experiments with tree diagrams and tables
- With and without replacement
- Venn diagrams and two-way tables for “and” and “or”
Topic map based on the Australian Curriculum v9 Mathematics strands (Number, Algebra, Measurement, Space, Statistics, Probability). The Victorian Curriculum 2.0 uses the same six strands. NSW, WA and some schools order topics differently, so check your child’s school course outline for the exact sequence.
Where Year 9 students lose marks
Most Year 9 errors come from new rules that look similar to old ones. They are very fixable with targeted practice.
- Index laws applied the wrong way Multiplying the powers when they should be added, or thinking a negative power gives a negative number, are the most common Year 9 index errors.Example: x³ × x⁴ = x⁷, and 2⁻¹ = 1/2, not −2.Practise it: Year 9 exponent laws worksheet
- Missing the middle term when expanding Writing (x + 3)² as x² + 9 leaves out the 6x. It is one of the most common errors in all of secondary algebra.Practise it: Year 9 algebra worksheet
- Choosing the wrong trig ratio Students can use a calculator but pick sine when they need cosine. Labelling opposite, adjacent and hypotenuse from the given angle before writing anything prevents most of these.Practise it: Year 9 trigonometry worksheet
- Calculator in the wrong mode Trig answers that come out strange often mean the calculator is in radians. It is worth checking it shows DEG before every test.
- Gradient upside down Gradient is rise over run. Swapping them, or getting the sign wrong for a line going down, costs marks in coordinate geometry.Practise it: Year 9 coordinate geometry worksheet
- Probability without replacement Forgetting that the total changes after the first pick is the usual error in two-step probability questions.Practise it: Year 9 probability worksheet
How parents can help at home
Year 9 is often a motivation dip, and many parents find the maths itself unfamiliar. What helps most is a steady routine and keeping track of which mistakes keep coming back, not reteaching index laws.
- Expect some disengagement, and plan around it. Year 9 is a known dip for motivation in many schools. A predictable weekly routine matters more than how long each session is.
- Find out how maths is streamed. Many schools use Year 9 results to place students into Year 10 classes, including any 10A or advanced group. Ask the school how and when this happens.
- Check the calculator. Make sure your child has the calculator the school requires and knows how to use it, including degree mode and the power and fraction keys.
- Focus revision on algebra and index laws. These two topics show up inside almost every other Year 9 topic. Strengthening them lifts marks across the board.
- Keep a list of repeated mistakes. If the same type of question goes wrong on two tests, that is the topic to work on next, not the one that feels hardest.
- Connect it to future choices. Without adding pressure, it helps students to know that Year 9 and Year 10 algebra prepares them for Years 11 and 12 maths options.
How Tuterly helps with Year 9 maths
In Year 9, the same small error (an index law, a missing middle term) can cost marks across several topics. Tuterly helps your child find and fix those patterns.
- Snap the question they got wrong An index law question, a trig problem or a probability tree. It is saved to their bank with a step-by-step worked solution.
- Try a similar question Tuterly gives a similar question on the same skill, such as another (x + 3)² expansion, so your child practises the exact step that went wrong.
- A weekly review Each week brings a short test of up to 8 of that week’s questions, trickiest first, so an index law slip comes back before it sets in.
- Topic check before a test Pick any Year 9 topic, such as trigonometry or linear graphs, for a short test with one question per section, even before anything is snapped. Wrong answers go into the bank for Fix my mistakes.
Tuterly is designed by Australian educators at Bayside Academics and covers the same Years 7 to 10 maths as the Australian Curriculum (and the Victorian Curriculum 2.0). See how it works on snap a question and Topic check.
Why Year 9 matters for what comes next
Year 9 is the first year where maths results commonly have a practical consequence. Many schools use Year 9 assessments, alongside teacher judgement, to place students into Year 10 classes. Some offer a 10A or advanced class that covers extra algebra in preparation for the harder senior maths subjects.
- Algebra fluency is usually the deciding skill for advanced classes.
- Consistency across topic tests often matters more than one strong exam.
- Gaps are easier to close now than in Year 10, when the pace picks up.
See what comes next on the Year 10 maths and 10A guide.