Year 7 Maths practice, done properly
Year 7 is the year the rules stop being about numbers you can picture. Negative numbers become something to calculate with rather than read off a thermometer, letters start standing in for quantities, and a fraction stops being a piece of a cake and becomes a way of writing division. Most Year 7 difficulty is not arithmetic — it is the shift to working with a quantity you have not been told the value of.
This page gives you 600 Australian Curriculum Maths questions for Year 7, organised into 15 graded tests that climb from Foundation to Extension. Test 1 is free in full — no card, no account.
What Year 7 Maths covers
The 6 areas the Year 7 bank is built from, in the proportion the questions actually fall:
Year 7 Maths explained, topic by topic
1. Measurement and geometry
Area of triangles, parallelograms and composite shapes, volume of rectangular prisms, and the relationships between angles on parallel lines. Year 7 is where a measurement question stops giving you the dimensions you need: a composite shape has to be cut into parts you recognise, and a missing angle has to be reasoned to through one or two intermediate angles rather than read off the diagram.
132 of the 600 Year 7 questions are on this topic.
2. Algebra and patterns
Year 7 algebra is about convention before manipulation: that 3n means 3 x n, that n + n + n is 3n, and that a letter holds a value which does not change within one question. Students substitute into expressions, build an expression from a described situation, and continue and describe patterns in words and in symbols. Writing the expression is consistently harder than evaluating it, and it is the skill every later year depends on.
110 of the 600 Year 7 questions are on this topic.
3. Statistics and probability
Mean, median, mode and range, and what each one does to an outlier — which is the actual Year 7 question, not the calculation. Probability is expressed as a fraction, decimal or percentage on a 0 to 1 scale, with complementary events introduced. Students are asked to say which measure of centre represents a data set fairly, which requires a sentence rather than a number.
101 of the 600 Year 7 questions are on this topic.
4. Number and integers
Year 7 formalises integers: adding and subtracting below zero, multiplying and dividing with signs, and the order of operations applied to expressions that mix them. Index notation arrives here too, along with squares, cubes and the first square roots. The most common Year 7 error is not the sign rule itself but applying it inside a longer expression, where a subtraction and a negative sit next to each other and the child reads one as the other.
95 of the 600 Year 7 questions are on this topic.
5. Ratios and rates
Ratio is introduced properly in Year 7, and it is the first topic where the answer depends on reading the question rather than on calculating. A ratio of 3:5 describes eight parts, not three fifths, and the difference between 'the ratio of red to blue' and 'the fraction that is red' accounts for more lost marks at this level than any arithmetic slip. Rates — price per kilogram, distance per hour — follow from it.
83 of the 600 Year 7 questions are on this topic.
6. Fractions, decimals and percentages
The three notations become interchangeable in Year 7 — a question may be set in one and most efficiently answered in another. Students add and subtract fractions with unrelated denominators, multiply and divide by fractions, and convert in every direction. Dividing by a fraction is the reliable stumbling block: the procedure is memorable and the meaning is not, so a child who has learnt only the flip cannot tell whether an answer should be larger or smaller than what they started with.
79 of the 600 Year 7 questions are on this topic.
Try real questions — easy and hard
Tests are graded from a foundation confidence-builder (Test 1, free to try in full) up to genuine extension-level questions by Test 15. Here is one of each, straight from the bank.
Frequently asked questions
Is this Year 7 Maths practice free?
Test 1 for Year 7 Maths is free in full — all 40 questions, every answer explained, no credit card and no account needed. The remaining 14 tests are part of a subscription.
How hard are the tests?
The 15 tests are graded across five tiers, from Foundation to Extension. Test 1 is a confidence-builder pitched at the Year 7 curriculum; by Test 15 the questions are deliberately above level, so a confident student is stretched rather than repeating classwork.
Are the questions aligned to the Australian Curriculum?
Yes. All 600 Year 7 questions are written to the Australian Curriculum v9 Year 7 Mathematics content, across 6 topic areas: measurement and geometry, algebra and patterns, statistics and probability, number and integers, ratios and rates, fractions, decimals and percentages.
Does my child get told why an answer is wrong?
Every option is explained, not just the correct one. A wrong answer tells you which misconception produced it, which is the part that changes what your child does next.
Is this the same as the NAPLAN practice on the site?
No. NAPLAN practice is a timed paper at the real test specification. These are graded practice tests for learning a topic — untimed, fully explained, and organised by difficulty rather than by exam section.