Year 7 · Australian Curriculum

Year 7 maths: what's covered and how to help

Year 7 is the first year of secondary maths. Here's every topic in the Australian Curriculum for Year 7, where students most often get stuck, and free worksheets and tests for each one.

Year 7 worksheets Year 7 maths test Every topic ↓

What’s new in Year 7

Algebra arrives properly: letters stand for numbers, and students write expressions, substitute into formulas and solve simple equations.
Negative numbers become part of everyday calculation, including adding and subtracting them.
Fractions, decimals, percentages and ratios are used together in problems, not practised one at a time.
Geometry gets formal: angle rules on parallel lines, and area formulas for triangles and parallelograms.

Where students get stuck

Negative numbers, especially subtracting a negative. Practise it →
Turning words into algebra, like "seven less than a number". Practise it →
Dividing fractions and working with mixed numbers. Practise it →
Choosing the right angle rule on parallel lines. Practise it →

Every Year 7 maths topic

Grouped by strand, as in the Australian Curriculum. Each topic has worked examples, a question to try and a free worksheet.

Number

8 topics

Fractions and decimalsMultiply, divide, convert. The fluency drills Year 7 needs.
PercentagesDiscounts, GST, percent of a number: the financial-maths backbone.
IntegersAdding and subtracting positive and negative numbers, the easy way.
RatiosSimplify, scale, divide in a ratio: the Year 7 foundations.
Squares and square rootsBuild fluency with perfect squares and square roots.
Powers and prime factorsFrom expanded notation to prime factorisation.
Rounding and estimationRound decimals, estimate answers and check whether calculations make sense.
Fraction operationsAdding fractions with different denominators using a common denominator

Algebra

4 topics

AlgebraUse a pronumeral to represent an unknown
Linear equationsSolve for x with confidence.
Expressions and the distributive lawExpand, simplify and build algebraic expressions.
Tables of values and plotting pointsBuild tables from patterns and rules, then plot them on the Cartesian plane.

Measurement

5 topics

AnglesParallel lines, transversals, angle sums: all in one place.
Area and perimeterRectangles, triangles, parallelograms: formulas and word problems.
VolumeVolume of right prisms: rectangular, triangular, and word problems.
CirclesPi, circumference, radius and diameter: all the early-circle work.
Angles in triangles and quadrilateralsFind missing angles using interior angle sums.

Space

2 topics

GeometryClassifying shapes, polygon properties, transformations.
Transformations on the Cartesian planeTranslate, reflect and rotate shapes using coordinates.

Statistics

2 topics

StatisticsMean, median, mode, range: the four numbers everyone needs.
Dot plots and stem-and-leaf plotsRead, draw and compare data displays.

Probability

1 topic

ProbabilitySample spaces, single-stage experiments, relative frequency.

Quick check

7 Year 7 questions

One from each of these topics. Try each one, then open the answer.

Algebra
Simplify $5 \times m \times 2$ .
Answer
$10m$
Percentages
Find $20\%$ of $65$ .
Answer
$13$
Integers
Which is larger, $-3$ or $-11$ ?
Answer
$-3$
Ratios
Simplify $18 : 27$ .
Answer
$2 : 3$
Volume
Find the volume of a rectangular prism $7$ cm by $4$ cm by $5$ cm.
Answer
$140 \text{ cm}^3$
Circles
A circle has a radius of $4$ cm. What is its diameter?
Answer
$8$ cm
Statistics
Find the mean of 6, 10, 8, 4.
Answer
$7$

Try the full Year 7 sample test →

How to help with Year 7 maths at home

Ask what topic their class is on this week, and do one worksheet on it, not a random mix.
When they get one wrong, have them redo that exact question a couple of days later. Getting it right the second time is what sticks.
Year 7s sit NAPLAN numeracy from 10 to 22 March 2027, so a little mixed practice in Term 1 is worth it.
Keep sessions short: 15 to 20 minutes a few times a week beats a long session the night before a test.

Year 7 maths questions

What maths do Year 7 students learn in Australia?

Algebra (variables, substitution and simple equations), number (fractions, decimals, percentages, ratios, integers, powers and square roots), measurement (angles, area, volume and circles), space (transformations), statistics and probability. The topics follow the Australian Curriculum, though schools teach them in different orders.

Is Year 7 maths hard?

The step up is mostly algebra and negative numbers, which are new ways of thinking rather than harder arithmetic. Students who get comfortable with those two early usually find the rest of Year 7 straightforward.

Do Year 7 students do NAPLAN?

Yes. Year 7 students sit the NAPLAN numeracy test, from 10 to 22 March 2027. It draws on everything up to Year 7.

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