What Year 10 maths covers
Year 10 combines everything from Years 7 to 9 into longer, multi-step problems. This list follows the Victorian Curriculum 2.0 Level 10, which adds a few topics to the Australian Curriculum v9 Year 10: in AC v9, gradients of parallel and perpendicular lines are a Year 9 topic, algebraic fractions are optional extension content, and inverse proportion is not listed. Each box links to free Year 10 worksheets for that topic.
Number
Exact values versus rounded ones.
- The effect of rounding and approximation in repeated calculations, compared with exact values
Algebra
The heaviest strand of Year 10, and the one senior maths builds on most.
- Index laws applied to algebraic products and quotients
- Expanding binomials and factorising monic quadratics such as x² + 5x + 6
- Solving simple quadratic equations, including with the null factor law
- Simultaneous linear equations, algebraically and graphically
- Linear inequalities, graphed on a number line
- Algebraic fractions and equations with fractions
- Rearranging formulas to change the subject
- Gradients of parallel and perpendicular lines, building on Year 9 gradient, midpoint and distance
- Graphs of simple quadratics, reciprocals, circles and exponentials
- Simple exponential equations
- Modelling with inverse proportion, growth and decay, including compound interest
Index lawsFactorising quadraticsQuadratic equationsSimultaneous equationsInequalitiesAlgebraic fractionsRearranging formulasCoordinate geometryGraphsExponential equationsCompound interest
Measurement
Composite solids, trigonometry in context and proportion.
- Surface area and volume of composite objects
- Pythagoras and trigonometry with direction and angles of elevation and depression
- Logarithmic scales, such as the Richter and decibel scales
- Direct and inverse proportion, and scaling objects
Surface area and volumeTrigonometryLogarithmic scalesInverse proportion
Space
Reasoning and proof.
- Geometric proofs using congruence and similarity
- Networks, paths and connections
Statistics
Spread, relationships and judging claims.
- Comparing data sets using quartiles, interquartile range and box plots
- Scatter plots and describing relationships between two variables
- Two-way tables for categorical data
- Evaluating statistical claims in the media
Probability
Conditional thinking.
- Two- and three-step experiments with and without replacement
- Conditional probability and the language of “given” and “if … then”
- Independent and dependent events
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 10 students lose marks
In Year 10, most lost marks come from small algebra slips inside otherwise correct working. Catching them early is the easiest way to lift results.
- Factorising errors with negatives Finding two numbers that multiply and add correctly gets harder when signs are negative. A small sign error makes every later step wrong.Example: x² − x − 6 = (x − 3)(x + 2).Practise it: Year 10 factorising quadratics worksheet
- Dividing by x instead of factorising Solving x² = 5x by dividing both sides by x loses the solution x = 0. Students need to move everything to one side and factorise.Practise it: Year 10 quadratic equations worksheet
- Simultaneous equations sign slips Subtracting one equation from another and forgetting to subtract every term is the usual cause of wrong answers. Substituting back in to check catches it.Practise it: Year 10 simultaneous equations worksheet
- Flipping the inequality Multiplying or dividing an inequality by a negative number reverses the sign. It is a one-mark rule that is easy to forget.Practise it: Year 10 linear inequalities worksheet
- Rearranging formulas out of order Changing the subject means undoing operations in reverse order. Students who memorised “move it across” often get stuck when the formula has a square or a fraction.Practise it: Year 10 rearranging formulas worksheet
- Rushing exam conditions Year 10 exams are often longer and closer to senior exam style. Running out of time, or skipping the reading time plan, costs marks that knowledge alone will not recover.Practise it: Year 10 maths exam preparation
How parents can help at home
In Year 10, most of the help that matters is planning: when exams fall, what each senior maths subject expects, and which algebra slips keep costing marks. None of it needs you to factorise a quadratic.
- Find out what each senior maths option needs. Ask the school which Year 10 results or classes are expected for each Year 11 maths subject before subject selection opens.
- Prioritise algebra over everything else. Factorising, solving and rearranging appear in every senior maths subject. Time spent here pays off the most.
- Practise under timed conditions before exams. In the weeks before exams, one or two timed practice tests show your child how their pace holds up.
- Review mistakes, not just marks. After each test, go through what went wrong. Repeated errors are the clearest guide to what to practise next.
- Keep the conversation low-pressure. Students who feel maths decides their future can freeze in tests. Focus on steady progress and the next step, not the final mark.
- Plan for the mid-year exams. Many schools hold Year 10 exams mid-year and at the end of the year. Starting revision two to three weeks early avoids last-minute cramming.
How Tuterly helps with Year 10 maths
With exams and subject selection ahead, Year 10 is a good time to stop repeating the same mistakes. Tuterly keeps a record of every one and turns it into practice.
- Snap the question they got wrong A factorising question, a simultaneous equation or an angle of elevation problem. 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, so a sign slip in factorising gets practised on its own rather than the whole chapter.
- Topic check before exams Pick any Year 10 topic, such as quadratics or probability, for a short test with one question per section, even before anything has been snapped. Wrong answers go into the bank.
- Fix my mistakes A drill of every question still to fix in the bank, which makes a focused last session before a mid-year or end-of-year exam.
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.
Optional 10A topics
10A is optional extension content in the Victorian Curriculum 2.0 (Level 10A), and this list follows it. The Australian Curriculum v9 has a shorter list of optional content for students heading to senior maths: surds, logarithms, completing the square and the quadratic formula, graphs of sine and cosine, circle theorems, standard deviation and counting. Polynomials, the sine and cosine rules, and pyramids, cones and spheres are in Victoria’s 10A but not in that list. 10A is usually taught to students heading for Mathematical Methods or Specialist Mathematics, and many schools teach only part of it. Each box links to free 10A worksheets.
Number (10A)
- Rational and irrational numbers, surds and fractional indices
- Logarithms and the log laws
Algebra (10A)
- Polynomials, and the factor and remainder theorems
- Factorising non-monic quadratics such as 2x² + 7x + 3
- Exponential and logarithmic equations
- Sketching parabolas, hyperbolas, circles and exponentials, and their transformations
- Function notation
- Linear and non-linear simultaneous equations
PolynomialsNon-monic quadraticsExponential and log equationsFunction notationNon-linear simultaneous equations
Measurement (10A)
- Surface area and volume of right pyramids, right cones and spheres
- Average rate of change and limiting values
Space (10A)
- Circle theorems (radii, diameters, chords and tangents)
- The sine, cosine and area rules for any triangle
- The unit circle and graphs of sine, cosine and tangent
- Simple trigonometric equations
- Pythagoras and trigonometry in three dimensions
Circle theoremsSine and cosine rulesTrig equations3D trigonometry
Statistics (10A)
- Mean and standard deviation, and the effect of outliers
- Choosing a measure of spread to suit the data
- Lines of best fit for bivariate data using digital tools
Year 10, 10A and senior maths pathways
| Course | Who it suits | What to focus on |
|---|---|---|
| Year 10 mainstream | All students, including those heading for general senior maths | Secure linear algebra, quadratics, trigonometry, statistics and financial maths |
| 10A or advanced | Students considering the more advanced senior maths subjects | Algebra speed and accuracy, plus extension topics such as surds, polynomials and harder factorising |
| Any course | Every student | Reviewing mistakes regularly, and practising under timed conditions before exams |
A strong Year 10 helps, but it does not lock in a pathway. Requirements for senior subjects are set by each school, so check with your child’s maths teacher. For more on the choice itself, read VCE General Maths vs Methods.