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Free Year 10 Worksheets (printable PDF)

Free printable Year 10 worksheets for the Australian curriculum, across every subject we cover. Year 10 covers algebra and equations, exponential and quadratic models, trigonometry, networks, and bivariate statistics. Browse the curriculum content descriptions and generate custom practice. Pick a set below for a ready-made PDF, or generate a fresh one. Every maths answer key is computed in code, so the answers are never wrong, and there is no login needed.

Ready-made worksheet sets for this year level are still rolling out. You can browse the curriculum content descriptions below, or generate a custom worksheet in seconds.

Year 10 maths curriculum (ACARA v9)

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The Mathematics content descriptions for Year 10. Open one for a plain-English summary, a teaching guide and any matching worksheets.

Number

AC9M10N01 Approximation in calculations
Recognise how using approximations of real numbers in repeated calculations affects the result compared with exact values.

Algebra

AC9M10A01 Expand, factorise and solve
Expand, factorise, simplify and solve equations algebraically, applying index laws for products, quotients and powers and the distributive property.
AC9M10A02 Inequalities and simultaneous equations
Solve linear inequalities and simultaneous linear equations in two variables, and interpret the solutions graphically and in context.
AC9M10A03 Exponential relations
Connect the algebra and graphs of exponential relations and solve related exponential equations using digital tools.
AC9M10A04 Model growth and decay
Use mathematical modelling with linear, quadratic or exponential models to solve growth and decay problems, then evaluate and report on the model.
AC9M10A05 Explore functions and relations
Experiment with functions and relations using digital tools, making and testing conjectures and generalising the patterns.

Measurement

AC9M10M01 Surface area and volume of composites
Solve problems about the surface area and volume of composite objects using suitable units.
AC9M10M02 Logarithmic scales
Interpret and use logarithmic scales in real contexts that span very small and very large quantities and change.
AC9M10M03 Applied trigonometry
Solve practical problems with Pythagoras' theorem and right-angled trigonometry, including direction and angles of elevation and depression.
AC9M10M04 Impact of measurement error
Identify how measurement errors affect the accuracy of results in practical situations.
AC9M10M05 Model proportion and scaling
Use mathematical modelling for problems involving proportion and scaling of objects, then evaluate and modify the model as needed.

Space

AC9M10SP01 Geometric proof
Use deductive reasoning to prove results about plane shapes and apply theorems to solve spatial problems.
AC9M10SP02 Networks
Interpret networks and network diagrams that model relationships in real situations and describe how things are connected.
AC9M10SP03 Algorithms for spatial problems
Design, test and refine algorithm-based solutions to spatial problems with digital tools, then communicate and justify them.

Statistics

AC9M10ST01 Critique statistical reports
Analyse the claims, inferences and conclusions of statistical reports in the media, including ethics and possible sources of bias.
AC9M10ST02 Boxplots and distributions
Compare distributions of continuous numerical data with displays such as boxplots, discussing centre, spread, shape and outliers.
AC9M10ST03 Scatterplots and association
Construct scatterplots and describe the association between two numerical variables by strength, direction and linearity.
AC9M10ST04 Two-way tables
Construct two-way tables and discuss the possible relationship between categorical variables.
AC9M10ST05 Investigate bivariate data
Plan and conduct investigations with bivariate data, then evaluate and report findings, noting the limits of any inferences.

Probability

AC9M10P01 Conditional probability language
Use language such as 'if then', 'given', 'of' and 'knowing that' to describe and interpret situations involving conditional probability.
AC9M10P02 Model conditional probability
Design and run repeated chance experiments and simulations with digital tools to model conditional probability and interpret the results.
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