Australian Curriculum v9 • Year 8 • Mathematics
Year 8 Maths Curriculum Australia: Topics, Worksheets and Practice
Year 8 Mathematics moves students from routine arithmetic into more formal reasoning. Learners work with irrational and rational numbers, exponent laws, linear expressions and equations, measurement, geometry, statistics and probability. The important shift is not simply doing longer calculations: students need to choose methods, explain relationships and apply familiar ideas when a question is presented in a new way.
Start from the exact curriculum skill
Australian Curriculum v9 Mathematics codes for Year 8 begin with AC9M8. When a teacher, parent or student has a specific code, the most efficient approach is to open the matching Year 8 Maths curriculum unit rather than assign a broad worksheet. Each SkillrHub unit links the curriculum outcome to a topic guide and then to focused student resources such as a worksheet, Practice and Test.
This matters because two Year 8 questions can look similar while testing different ideas. A student who makes an algebra error may need work on expanding and simplifying expressions, while another may understand the algebra but struggle to interpret a linear graph. Matching the practice to the exact outcome keeps revision useful.
Number and rational-number fluency
Year 8 number work includes irrational numbers in applied contexts, exponent laws, terminating and recurring decimals, operations with integers and rational numbers, and mathematical modelling involving percentages and financial situations. Students should practise estimation alongside exact calculation so they can judge whether an answer is sensible before accepting it.
A useful routine is: identify the number type, choose an efficient operation, calculate, then check the size and sign of the answer. For percentage and financial questions, students should also explain what the result means in the original situation rather than stopping at a number.
Algebra, equations and linear relationships
Algebra becomes a major Year 8 focus. Students create, expand, factorise, rearrange and simplify linear expressions, graph linear relationships, solve equations and inequalities, and verify solutions. Strong practice should move between words, tables, graphs and symbolic expressions so students learn that these are different representations of the same relationship.
For equations, substitution is an especially useful checking habit. For graphs, students should be able to describe what the gradient, intercept or change shown on the graph means in context. Short, varied questions are more valuable than repeating one worksheet pattern until the steps are memorised.
Measurement and geometry
Year 8 learners solve problems involving perimeter, area, volume, capacity and geometric relationships. Diagrams should be read carefully before any formula is chosen. Encourage students to label known measurements, identify what is being asked and write units throughout the working. This reduces common errors such as using a length when an area is required or applying a formula to the wrong shape.
Statistics and probability
Statistics and probability tasks should go beyond reading a graph. Students need to interpret data, compare representations, recognise variation and make reasoned statements about chance. Ask students to justify conclusions using the data rather than relying on a visual impression alone.
How to use Year 8 Maths worksheets effectively
Use a worksheet after the student has seen or discussed the underlying idea. Begin with a small set of direct questions, then include examples that change the representation or context. If several errors have the same cause, return to the matching topic guide rather than assigning more unrelated questions.
- Diagnose: identify the exact concept or curriculum code causing difficulty.
- Learn: review the explanation and worked examples in the topic guide.
- Practise: complete a focused worksheet or online Practice set.
- Check: review mistakes and explain why the correct method works.
- Retest: use a fresh Test after a gap.
Year 8 Maths revision by topic
For a complete curriculum pathway, use the Year 8 Maths topic list, where individual outcomes are separated so students can work on one skill at a time.
If the learner is preparing for a test, prioritise weak outcomes first, then mix topics. Mixed practice is most useful after individual skills are secure because it requires the student to recognise which method to use without being told the topic in advance.
Browse Year 8 Maths resources
Browse Year 8 Maths Curriculum Units
See all Year 8 subjects, browse the Year 8 Maths topic list, or browse printable worksheets.
Australian Curriculum v9
Year 8 Maths curriculum codes at a glance
This guide is linked to the exact Australian Curriculum v9 content descriptions used by SkillrHub. There are 27 Year 8 Maths curriculum codes in this subject. Use the code list below to move from the broad year-level overview to the exact skill a student is learning.
Number
AC9M8N01 — Irrational numbers in applied contexts, including square roots and π
recognise irrational numbers in applied contexts, including square roots and π.
AC9M8N02 — Establish and apply the exponent laws with positive integer exponents...
establish and apply the exponent laws with positive integer exponents and the zero-exponent, using exponent notation with numbers.
AC9M8N03 — Terminating and recurring decimals, using digital tools as appropriate
recognise terminating and recurring decimals, using digital tools as appropriate.
AC9M8N04 — The 4 operations with integers and with rational numbers, choosing...
use the 4 operations with integers and with rational numbers, choosing and using efficient strategies and digital tools where appropriate.
AC9M8N05 — Mathematical modelling to solve practical problems involving rational numbers and...
use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model.
Algebra
AC9M8A01 — Create, expand, factorise, rearrange and simplify linear expressions, applying the...
create, expand, factorise, rearrange and simplify linear expressions, applying the associative, commutative, identity, distributive and inverse properties.
AC9M8A02 — Graph linear relations on the Cartesian plane using digital tools...
graph linear relations on the Cartesian plane using digital tools where appropriate; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution.
AC9M8A03 — Mathematical modelling to solve applied problems involving linear relations, including...
use mathematical modelling to solve applied problems involving linear relations, including financial contexts; formulate problems with linear functions, choosing a representation; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model.
AC9M8A04 — Experiment with linear functions and relations using digital tools, making...
experiment with linear functions and relations using digital tools, making and testing conjectures and generalising emerging patterns.
Measurement
AC9M8M01 — Solve problems involving the area and perimeter of irregular and...
solve problems involving the area and perimeter of irregular and composite shapes using appropriate units.
AC9M8M02 — Solve problems involving the volume and capacity of right prisms...
solve problems involving the volume and capacity of right prisms using appropriate units.
AC9M8M03 — Solve problems involving the circumference and area of a circle...
solve problems involving the circumference and area of a circle using formulas and appropriate units.
AC9M8M04 — Solve problems involving duration, including using 12- and 24-hour time...
solve problems involving duration, including using 12- and 24-hour time across multiple time zones.
AC9M8M05 — And use rates to solve problems involving the comparison of...
recognise and use rates to solve problems involving the comparison of 2 related quantities of different units of measure.
AC9M8M06 — Pythagoras’ theorem to solve problems involving the side lengths of...
use Pythagoras’ theorem to solve problems involving the side lengths of right-angled triangles.
AC9M8M07 — Mathematical modelling to solve practical problems involving ratios and rates...
use mathematical modelling to solve practical problems involving ratios and rates, including financial contexts; formulate problems; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model.
Space
AC9M8SP01 — The conditions for congruence and similarity of triangles and explain...
identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations.
AC9M8SP02 — Establish properties of quadrilaterals using congruent triangles and angle properties...
establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning.
AC9M8SP03 — The position and location of objects in 3 dimensions in...
describe the position and location of objects in 3 dimensions in different ways, including using a three-dimensional coordinate system with the use of dynamic geometric software and other digital tools.
AC9M8SP04 — Design, create and test algorithms involving a sequence of steps...
design, create and test algorithms involving a sequence of steps and decisions that identify congruency or similarity of shapes, and describe how the algorithm works.
Statistics
AC9M8ST01 — Investigate techniques for data collection including census, sampling, experiment and...
investigate techniques for data collection including census, sampling, experiment and observation, and explain the practicalities and implications of obtaining data through these techniques.
AC9M8ST02 — Analyse and report on the distribution of data from primary...
analyse and report on the distribution of data from primary and secondary sources using random and non-random sampling techniques to select and study samples.
AC9M8ST03 — Variations in distributions and proportions obtained from random samples of...
compare variations in distributions and proportions obtained from random samples of the same size drawn from a population and recognise the effect of sample size on this variation.
AC9M8ST04 — Plan and conduct statistical investigations involving samples of a population...
plan and conduct statistical investigations involving samples of a population; use ethical and fair methods to make inferences about the population and report findings, acknowledging uncertainty.
Probability
AC9M8P01 — That complementary events have a combined probability of one; use...
recognise that complementary events have a combined probability of one; use this relationship to calculate probabilities in applied contexts.
AC9M8P02 — Determine all possible combinations for 2 events, using two-way tables...
determine all possible combinations for 2 events, using two-way tables, tree diagrams and Venn diagrams, and use these to determine probabilities of specific outcomes in practical situations.
AC9M8P03 — Conduct repeated chance experiments and simulations, using digital tools to...
conduct repeated chance experiments and simulations, using digital tools to determine probabilities for compound events, and describe results.
Curriculum descriptions are reproduced from the curriculum data used to organise SkillrHub resources. The Australian Curriculum remains the authority for official wording and scope.
Free-first learning
Try the free resources first
Before committing to another monthly or yearly learning subscription, use the free curriculum-linked resources available for the student’s current topic. Start with the Topic Guide, use Practice, review mistakes and then take the separate Test.
A larger paid question bank or learning program can be useful, but paying for more volume does not guarantee that a student will use it consistently. If the learner is already working through the free resources and still needs extra tutoring, marking, adaptive practice, reporting or more question volume, compare paid options for that specific need.
Free-first check: establish a consistent Learn → Practice → Test routine before deciding whether an additional paid service offers something the learner will genuinely use.