§ Year 7 · Mathematics · Australian Curriculum
Year 7 Maths.
The first year of high school maths. It matters more than it looks.
Year 7 is the bridge between primary maths and the real algebra that arrives in Year 8. Most parents assume Year 7 is a soft landing — and for kids who already had a strong grip on times tables and fractions, it usually is. For kids who didn't, this is the year the gaps start showing. We close them now, while there's still room to.
100% online·Sessions on Google Meet, anywhere in Queensland
§ What Year 7 covers
The syllabus, in plain English.
Year 7 Mathematics follows the Australian Curriculum (with the Queensland overlay). The year covers integers and the four operations, fractions and decimals with confidence, the first steps into algebra (using variables to represent unknowns), basic geometry of angles and shapes, and an introduction to data and probability. The numbers stay friendly, but the thinking required is genuinely different from primary school — students are expected to explain their reasoning, not just produce an answer.
Number and Algebra
- Adding, subtracting, multiplying and dividing positive integers
- Introduction to negative integers and the number line
- Fractions, decimals and percentages — converting between them
- Order of operations (BIDMAS / BODMAS)
- Using variables to represent unknowns; substituting into simple expressions
- Solving one-step linear equations by inspection or back-tracking
Measurement and Geometry
- Area and perimeter of rectangles, triangles and parallelograms
- Volume of rectangular prisms
- Classifying angles (acute, obtuse, reflex) and triangles
- Angle properties — angles on a straight line, around a point, vertically opposite
- Cartesian plane — plotting points in all four quadrants
Statistics and Probability
- Mean, median, mode and range from small data sets
- Constructing and reading column graphs, dot plots and stem-and-leaf plots
- Sample space and theoretical probability for single events
- Expressing probability as a fraction, decimal and percentage
§ Where Year 7s get stuck
Common pitfalls — and how to dodge them.
Order of operations errors that look like silly mistakes
12 − 3 × 2 is 6, not 18. Students who left primary school with the habit of working left-to-right keep doing it in Year 7 and lose marks on almost every calculation question. BIDMAS becomes muscle memory only with deliberate practice — we drill it until it stops being a thinking step.
Treating negative numbers like a typo
When a Year 7 student first meets −5 + 3, they often "ignore" the negative sign and write 8. The number line is the fix — every Year 7 student needs to internalise that negative numbers live to the left of zero and behave consistently. We teach this with a physical number line before any rule learning.
Improper fractions and mixed numbers treated as different things
Students arrive in Year 7 having been told mixed numbers (1 ½) are "the right way" to write fractions. Then algebra starts and improper fractions (3/2) are easier to compute with. The switch confuses kids until they realise they are the same number, just written differently.
Using a variable as a label, not a number
When asked "let b = number of apples in a box," students write "5b = 5 boxes" — treating b as if it stood for the word "box." It stands for the number, not the object. This sounds small. It propagates into Year 8 algebra disasters.
Percent confusion at the conversion step
Students see "find 25% of 80" and reach for a calculator without first converting 25% to 0.25 or 1/4. The conversion is the whole point of percentage work in Year 7 — once it is automatic, everything else follows.
§ Worked examples
A question. A walkthrough. The marks.
Example 1
Order of operations with integers
The question
Evaluate: 20 − 4 × (6 − 2) + 8 ÷ 2.
Walkthrough
Step 1 — Brackets first: (6 − 2) = 4. The expression is now 20 − 4 × 4 + 8 ÷ 2. Step 2 — Multiplication and division, left to right: 4 × 4 = 16 and 8 ÷ 2 = 4. The expression is now 20 − 16 + 4. Step 3 — Addition and subtraction, left to right: 20 − 16 = 4, then 4 + 4 = 8. Answer: 8. The single most common mistake here is doing 20 − 4 first (getting 16, then multiplying by 4 to get 64). The bracket and the multiplication both happen before the subtraction.
Example 2
A typical Year 7 word problem
The question
A pizza shop sells whole pizzas for $18 each. On Tuesday they sold 3/4 of their stock of 24 pizzas. How much money did they make?
Walkthrough
Step 1 — Find how many pizzas were sold: 3/4 of 24 = 24 ÷ 4 × 3 = 18 pizzas. Step 2 — Find the total revenue: 18 × $18. Break it up: 18 × 18 = 18 × 20 − 18 × 2 = 360 − 36 = 324. Step 3 — Answer in context: The pizza shop made $324 on Tuesday. Mark allocation in a typical Year 7 question: 1 for finding the number of pizzas, 1 for the multiplication, 1 for the contextual answer (with the dollar sign). Skip the units and you typically lose the final mark even if the number is right.
§ Why Pythora for Year 7 Maths
Not generic tutoring. Specifically this.
Tutors who know exactly where Year 7 gaps come from
Every Pythora Maths tutor finished senior Maths with 95+ and remembers how Year 7 was taught. They know which topics — fractions, negatives, order of operations — are the ones that quietly underwrite everything else. They fix the gaps now rather than treating the symptoms later.
Built around your child's actual class topics
We ask which topic your child's class is currently on and what assessment is coming up next. Sessions are built around that. No generic worksheets, no padding — what we cover today is what your child needs this week.
Confidence before correction
Year 7 is the year kids first decide whether they are "a maths person." We get the easy wins first, then quietly tighten the screws. By the time we get to the harder material the student trusts themselves enough to attempt it.
A written recap to parents after every session
You see what topics were covered, what your child found easy, where they struggled, what was set as homework, and what the next session will focus on. In your inbox, inside six minutes of the lesson ending.
§ Real student
“I used to dread Maths. Now it's actually one of my favourite subjects. I get the homework done by myself.”
§ Where this fits
One step on the path.
Year 7 is the foundation year. Year 8 introduces real algebra — variables, expressions, equations — and assumes your child is fluent with integers, fractions and order of operations. Gaps that look small in Year 7 become Year 8 disasters very quickly. We close them while there is still time to.
Builds from
Foundation year — nothing before this
Leads to
Year 8 Mathematics§ Questions
Frequently asked.
My child did well in primary school maths but is struggling in Year 7. Why?
Primary maths is mostly arithmetic, and good arithmetic kids look like good maths kids. Year 7 starts asking for reasoning — explain your method, show your working, use a variable to represent an unknown. It is a different skill, and lots of kids who breezed through Year 6 suddenly hit a wall. One term of consistent tutoring focused on order of operations, fractions and the first algebra usually closes the gap.
Is one session a week enough for Year 7?
For most Year 7 students, yes. One 60-minute session per week, with the student doing 20 minutes of homework between sessions, is the sweet spot. Two sessions a week works if there is a specific test or assignment coming up, but more than that and the student loses time for their own practice — which is where the consolidation actually happens.
How does the tutor know what to cover?
Before the first session we ask which topic your child's class is currently working on and what assessment is coming up next. The tutor builds the session around that. If you upload a recent test or worksheet, the tutor can see exactly where the marks are being lost.
How much does Year 7 Maths tutoring cost?
Year 7 Maths is $75 per hour as a Junior subject. Billed weekly for completed sessions, no lock-in. Every new family gets a free trial session with their matched tutor first.
Year 7 Maths.
Done properly.
One short form. We’ll match you with a tutor and call within 24 hours.
From $75/hour · Billed weekly · Pause or cancel anytime