What Year 8 maths covers
Year 8 goes deeper rather than wider. Many topics have the same names as Year 7, but the questions involve more steps. Each box links to free Year 8 worksheets for that topic.
Number
Fluency with all four operations on integers, plus new number types.
- Multiplying and dividing integers, and order of operations with negatives
- Terminating and recurring decimals, and an introduction to irrational numbers
- Index laws with positive whole-number powers
- Percentage increase and decrease, profit, loss and discounts
- Rates and ratios in real contexts such as speed, cost per unit and recipes
Integer operationsRecurring decimalsExponentsPercentagesProfit and lossRates
Algebra
The centre of Year 8. Most later maths depends on it.
- Expanding brackets using the distributive law
- Factorising by taking out a common factor
- Solving linear equations with brackets and pronumerals on both sides
- Writing equations from worded problems
- Plotting linear relationships and reading solutions from graphs
Measurement
New formulas, and the first appearance of Pythagoras.
- Pythagoras’ theorem to find a side of a right-angled triangle
- Circumference and area of circles
- Area of trapeziums, rhombuses and kites, and composite shapes
- Volume of prisms
- Time, 24-hour time and time zones
- Speed, distance and time
PythagorasCirclesArea and perimeterVolumeTime zonesSpeed, distance, time
Space
From finding angles to proving shapes match.
- Congruent figures and the tests for congruent triangles
- Properties of quadrilaterals and using them to find unknowns
- Similar figures and scale
Statistics
Thinking about where data comes from.
- Samples and populations, and why samples vary
- How outliers affect the mean and median
- Choosing and interpreting data displays
Probability
Events that overlap, or that cannot both happen.
- Complementary events (the probability something does not happen)
- Two-way tables and Venn diagrams
- Mutually exclusive events and the words “and”, “or” and “not”
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 8 students lose marks
The Year 8 mistakes below are worth fixing now, because each one carries straight into Year 9.
- Expanding only the first term Writing 3(x + 4) as 3x + 4 is the classic Year 8 error. It then breaks every equation that contains brackets.Example: 3(x + 4) = 3x + 12.Practise it: Year 8 algebra worksheet
- Losing a negative when solving Moving a term to the other side and forgetting to change its sign, or dropping a negative when dividing, accounts for many wrong equation answers.Practise it: Year 8 linear equations worksheet
- Using Pythagoras on the wrong side Students learn a² + b² = c² but add when they should subtract to find a shorter side. Labelling the hypotenuse first fixes most of this.Practise it: Year 8 Pythagoras worksheet
- Radius and diameter mix-ups Using the diameter in the area formula, or mixing up circumference and area, is common when both formulas are new.Practise it: Year 8 circles worksheet
- Percentage change from the wrong amount Percentage increase and decrease are always worked out from the original amount. Students often divide by the new amount instead.Practise it: Year 8 percentages worksheet
- Worded problems left blank When a question is written as a story, some students do not know where to start. Turning words into an equation is a skill that needs its own practice.Practise it: Year 8 linear problems worksheet
How parents can help at home
Year 8 gaps tend to be narrow: one kind of equation, or one formula used the wrong way round. Helping is mostly about spotting which one, and you do not need to redo the algebra yourself to do that.
- Keep an eye on algebra in particular. If expanding brackets and solving equations are not secure by the end of Year 8, Year 9 gets much harder. Ask to see a recent algebra test.
- Do not let motivation dip unnoticed. Year 8 often feels like a quieter year. Short, regular practice keeps skills ticking over even when school feels less urgent.
- Ask your child to teach you one thing. Explaining how to expand a bracket or find a hypotenuse shows quickly whether they understand it or are following steps.
- Use real-world maths. Discounts while shopping, speed and travel time on a trip, and time zones for overseas calls all match Year 8 content.
- Go back over marked tests. The questions your child got wrong are a ready-made revision list. Rework them a week later without looking at the answers.
- Check calculator habits. Students should know when a calculator is allowed and still be able to estimate whether an answer makes sense.
How Tuterly helps with Year 8 maths
Year 8 gaps are usually specific: one type of equation, or one formula used the wrong way. Tuterly targets exactly those questions.
- Snap the question they got wrong A Pythagoras question from homework or an equation with brackets from a test. 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 your child practises expanding 3(x + 4) properly rather than redoing the whole worksheet.
- Sorted by topic, and a parent view Your child’s mistakes are sorted by topic, so it is clear whether algebra or measurement needs the most work. A parent who links their own parent account with a 6-character code sees Week in review: questions added and mastered, test scores and the trickiest topic.
- Topic check before an assessment Choose a Year 8 topic, such as linear equations or circles, for a short test with one question per section. Wrong answers go into the bank, ready 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.
How Year 8 skills feed into Year 9
| Year 8 skill | Year 9 topic that relies on it |
|---|---|
| Expanding a single bracket | Expanding binomials such as (x + 2)(x + 5), and factorising quadratics |
| Solving equations with negatives | Rearranging formulas and finding gradients and intercepts |
| Index laws | Index laws with zero and negative powers, and scientific notation |
| Pythagoras’ theorem | Trigonometry and the distance between two points |
| Similar figures and scale | Enlargements and similar triangles |
| Two-way tables and Venn diagrams | Two-step probability |