What Year 7 maths covers
Year 7 maths is organised into six strands. Most schools teach them as units across the year, so your child may finish fractions in Term 1 and not see them again until a later test. Each box links to free worksheets for that topic.
Number
Consolidating primary number skills, then extending them to negatives and powers.
- Integers: ordering, adding and subtracting negative numbers on a number line
- Primes, factors, multiples and writing numbers as a product of prime factors
- Square numbers, square roots and index notation such as 2⁵
- Adding, subtracting, multiplying and dividing fractions and decimals
- Percentages of quantities, and converting between fractions, decimals and percentages
- Rounding, estimating and checking whether an answer is sensible
- Ratios, simple rates and best-buy problems
IntegersPrime factorsSquare rootsFraction operationsFractions and decimalsPercentagesRatiosRounding
Algebra
The big new idea of Year 7: letters standing for numbers.
- Using variables to write expressions and simple formulas
- Substituting values into expressions
- Simplifying by collecting like terms
- Solving one-step and two-step linear equations
- Tables of values and plotting points on the Cartesian plane
- Recognising and describing simple linear patterns
Measurement
Formulas replace counting squares.
- Area of rectangles, triangles and parallelograms using formulas
- Perimeter of composite shapes
- Volume of rectangular prisms
- Parts of a circle and an introduction to pi
- Converting between metric units
Space
Angle reasoning and shapes, with reasons given for each step.
- Angles on a straight line, at a point and vertically opposite
- Angles formed by parallel lines and a transversal
- Angle sum of a triangle and of a quadrilateral
- Classifying triangles and quadrilaterals by their properties
- Translations, reflections and rotations on the Cartesian plane
Statistics
Collecting, displaying and summarising data.
- Mean, median, mode and range
- Dot plots and stem-and-leaf plots
- Choosing a suitable display for a data set
- Describing what a data set shows in words
Probability
Chance described with numbers.
- Listing the sample space for simple experiments
- Probabilities as fractions, decimals and percentages from 0 to 1
- Comparing what you expect with what happens in an experiment
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 7 students lose marks
These come up again and again when Year 7 tests are marked. Most are not about ability: they are habits that can be fixed with targeted practice.
- Negative number signs Subtracting a negative, or adding a negative to a positive, is the most common Year 7 slip. Students often know the rule but apply it to the wrong step.Example: 5 − (−3) is 8, not 2.Practise it: Year 7 integers worksheet
- Fractions with different denominators Adding the tops and the bottoms (1/2 + 1/3 = 2/5) shows up again in Year 7, especially under time pressure. Dividing by a fraction is the other weak spot.Practise it: Year 7 fraction operations worksheet
- Treating algebra as a code to memorise Students who learn steps without understanding what a variable is struggle when a question looks slightly different. A common sign is writing 3x + 2 = 5x.Practise it: Year 7 expressions worksheet
- Not showing working Primary school often rewards the answer. Secondary maths gives marks for method, and teachers cannot award them if the working is missing or jumbled.
- Angle answers without reasons Many Year 7 geometry questions ask for a reason, such as “angles on a straight line add to 180°”. A correct number with no reason can lose marks.Practise it: Year 7 angles worksheet
- Units and area versus perimeter Mixing up area and perimeter, or writing cm instead of cm², is an easy mark to lose on tests.Practise it: Year 7 area and perimeter worksheet
How parents can help at home
Year 7 is as much about new habits as new maths: showing working, giving reasons for angles, checking units. You do not need to remember the content to help with any of those.
- Ask about the method, not just the answer. “How did you get that?” is more useful than “Is it right?” Explaining a step out loud is how students notice their own gaps.
- Keep a regular, short homework slot. Secondary school brings more subjects and more homework. Twenty focused minutes at the same time each day is easier to keep than a long weekend session.
- Practise times tables and fraction basics quietly. Quick recall frees up working memory for algebra. A few minutes in the car or at breakfast is enough.
- Treat wrong answers as useful. A marked test with mistakes is the best study guide your child will get. Go through the wrong questions together rather than filing the test away.
- Watch the first few weeks of algebra closely. If equations are confusing in Term 1 or 2, address it then. Year 8 algebra assumes Year 7 algebra is secure.
- Talk to the teacher early. If your child seems lost or anxious about maths, a short email to their maths teacher in the first term is often the fastest fix.
How Tuterly helps with Year 7 maths
The fastest way to improve marks is to fix the exact questions your child gets wrong, then check the fix has stuck. Tuterly is built around that loop.
- Snap it from the marked test A subtraction with negatives, a fraction division or an angle answer without a reason. 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 negative number subtraction, so practice targets the real gap.
- Fix my mistakes A drill of every question still to fix in their bank, so a Term 1 fraction slip gets another go before the end-of-year test.
- Topic check before a topic test Pick a Year 7 topic, such as integers or angles, for a short test with one question per section, even before anything has been snapped. Wrong answers go into the bank.
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.
What changes from primary to secondary maths
| Area | Primary school | Year 7 |
|---|---|---|
| Teacher | One classroom teacher for most subjects | A specialist maths teacher, often several lessons a week |
| Working out | Often optional if the answer is right | Expected, and usually worth marks |
| Pace | Topics revisited often | Units move on, then reappear on end-of-term tests |
| Content | Mostly number | Algebra, negative numbers and angle reasoning arrive |
| Assessment | Ongoing observation | Topic tests, assignments and NAPLAN Numeracy |
If your child is also preparing for a Year 7 entry scholarship test, that is a different kind of preparation focused on reasoning and test technique. The Year 7 entry scholarship guide covers it.