NY7 / P / 01
Middle years maths
The Years 7 to 9 curriculum, taught with reasons.
Open the syllabusAustralia · NAPLAN Year 7 numeracy · Live online
Year 7 NAPLAN arrives a few weeks into secondary school, and it is the first numeracy test that splits in two. Students begin with a short section where no calculator is allowed, then move to the rest of the test with an online calculator, and they cannot go back. Proportion and percentages run through the Year 7 descriptions at every level from Developing up, so this page teaches one tool that makes them visible: the double number line. Practice questions are ours, answers are worked in full, and we teach numeracy only. No proficiency level is promised.
Year 7 facts from ACARA · Practice written by us · Numeracy only
In short
The Year 7 NAPLAN numeracy test lasts 65 minutes. It opens with a short non-calculator section where students show arithmetic; after that an online calculator is available for the rest of the test. It runs inside the national window, 10 to 22 March in 2027. At the Strong level ACARA lists, among other things, calculating fractions and percentages of a quantity and solving problems involving a simple proportion.
A good place to start
Picked for the ideas the Year 7 descriptions keep returning to.

NY7 / 01
Fractions, percentages, ratio, integers and geometry, step by step.
Open the syllabus →
NY7 / 02
Number sentences, unknowns and equivalent expressions, made sensible.
Open the syllabus →
NY7 / 03
Data displays and chance, including the percentage forms Year 7 uses.
Open the syllabus →The Year 7 numeracy test
ACARA's details, read on the NAPLAN site on 7 October 2026.
| Item | As ACARA puts it |
|---|---|
| Time allowed | 65 minutes |
| Position in the test week | Done once conventions of language is finished |
| Sections | Two: a short non-calculator section, then the remainder with an online calculator |
| Content | Number, algebra, measurement, space, statistics and probability, as the curriculum strands |
| Item formats | Multiple choice, typed answers, drag-and-drop and hot-spot |
| 2027 dates | 10 to 22 March |
Year 7 is the first year that NAPLAN tests secondary-school content for many students, but ACARA builds most questions on skills from earlier years. A small number reach into the current and following year, so a Year 7 student may meet an idea their class covers later in the year.
In states where Year 7 is the first year of high school, students sit NAPLAN in a new building, with new teachers, often in their first term. Familiarity with the format matters more in Year 7 than in any other year.
The test is tailored. Every student begins on the same first testlet, and their answers decide whether the next set is more or less complex. A slip in the non-calculator section can steer a capable student onto an easier path.
That is why checking in the first section is worth more than speed. Ten seconds spent confirming 15 per cent of 60 is 9 protects every question that follows.
Sources: NAPLAN test window; What's in the tests; Tailored tests. Checked on 7 October 2026. We are not connected with ACARA in any way.
The calculator rule
ACARA's wording: "There is a short non-calculator section, in which students are required to demonstrate arithmetical calculation skills. For the remainder of the test, an online calculator is available."
The non-calculator section comes first and is short. Once a student moves past it, the online calculator appears for the remaining questions, and the first section is closed to them.
So mental and written arithmetic is tested directly, at the very start, when nerves are highest. Percentages of round numbers, fraction of a quantity, and order of operations are typical of what a student should be able to do without a device.
Build friendly benchmarks: 10 per cent, 5 per cent, a quarter, a half. Almost every non-calculator percentage question is a combination of these.
Practise estimating before using a calculator in the second section. An online calculator is only as reliable as the keys pressed, and an estimate catches a misplaced decimal point instantly.
Source: NAPLAN, What's in the tests: Year 7 and Year 9 tests. Checked on 7 October 2026.
Year 7 proficiency levels
Lines quoted from ACARA's Year 7 numeracy descriptions; we chose which lines to show.
| Level | The student can (selected) |
|---|---|
| Needs additional support | calculate a simple fraction of a quantity; read time to the nearest minute and calculate duration |
| Developing | convert between fractions, decimals and percentages; express a simple word problem as a number sentence and determine the value of an unknown |
| Strong | calculate fractions and percentages of a quantity; solve problems involving a simple proportion; locate points on the Cartesian plane |
| Exceeding | connect equivalent fractions, decimals and percentages; solve problems involving proportion in context; solve problems involving 24-hour time within a time zone |
Follow the proportion thread down the levels and it grows: from a fraction of a quantity, to converting between fractions, decimals and percentages, to simple proportion, to proportion in context. The double number line below supports every one of those steps, because it shows two quantities growing together on the same picture.
Source: NAPLAN proficiency level descriptions, Numeracy Year 7. Checked on 7 October 2026.
Practice we wrote
Draw two parallel lines. Mark one quantity on the top line and the matching quantity on the bottom line, starting from zero on both. Anything you do to one line (halve it, add a tenth) you do to the other.
Top line 0 to 240 students, bottom line 0 to 100 per cent. Mark 10 per cent at 24, so 30 per cent is 72 and 5 per cent is 12.
Top line 0 to 150 km, bottom line 0 to 120 minutes. Halve both: 75 km in 60 minutes. Now any time can be found.
Top line centimetres on a map, bottom line kilometres on the ground. 2 cm matches 5 km, so 1 cm matches 2.5 km.
| Question | Section | Marks on the double number line | Answer |
|---|---|---|---|
| What is 15 per cent of 60? | Non-calculator | 100% at 60, 10% at 6, 5% at 3 | 9 |
| 35 per cent of the 240 students in Year 7 walk to school. How many is that? | Non-calculator | 10% at 24, 30% at 72, 5% at 12 | 84 |
| 18 out of 72 people chose basketball. What percentage is that? | Either | 72 at 100%, half is 36 at 50%, half again is 18 at 25% | 25 per cent |
| A recipe uses 3 cups of flour for 12 pancakes. How much flour for 20 pancakes? | Either | 12 pancakes at 3 cups, 4 pancakes at 1 cup, 20 pancakes at 5 cups | 5 cups |
| On a map 2 cm stands for 5 km. Two towns are 7 cm apart on the map. How far apart are they? | Either | 2 cm at 5 km, 1 cm at 2.5 km, 7 cm at 17.5 km | 17.5 km |
| A bus covers 150 km in 2 hours at a steady speed. How far does it go in 50 minutes? | Calculator | 120 min at 150 km, 60 min at 75 km, 10 min at 12.5 km, 50 min at 62.5 km | 62.5 km |
The first two questions are written for the non-calculator section on purpose. Both are answered entirely from 10 per cent and 5 per cent benchmarks, which a double number line makes automatic. The bus question looks harder, but on the double line it is three halvings and one subtraction; a calculator only confirms it.
A useful check for every proportion answer: the two lines must stay in the same order. If 50 minutes produced more than 75 km, the answer would have crossed the 60-minute mark, which cannot be right.
Proportional reasoning
A student climbs at their own speed. The year levels are only signposts.
| Rung | Looks like | Secure once a student can |
|---|---|---|
| 1. Fraction of a quantity | Finds a quarter or a third of a number | Find three quarters of 48 without a written method |
| 2. Benchmarks | Uses 10, 5, 25 and 50 per cent | Find 35 per cent of 240 mentally |
| 3. Double number line | Draws matching scales for two quantities | Solve the pancake question by halving and scaling |
| 4. Proportion in context | Chooses the method for rates, scales and percentages | Explain why the bus answer must be under 75 km |
Year 7 brings new teachers, new rooms and a new timetable just weeks before NAPLAN. Keeping maths routines steady at home helps.
If your child is anxious, practise only the non-calculator benchmarks. Quick wins there make the rest of the test feel manageable.
Year 5 strategies such as compensation still matter; see NAPLAN Year 5 numeracy.
Year 9 moves on to algebra and checking equations; our Year 9 numeracy page covers it.
Courses for the middle years
Sorted by what a student is working on. Every card opens a full syllabus.
NY7 / P / 01
The Years 7 to 9 curriculum, taught with reasons.
Open the syllabusNY7 / P / 02
Benchmarks and estimation for the non-calculator section.
Open the syllabusNY7 / P / 03
Fast mental methods with built-in checks.
Open the syllabusNY7 / A / 01
From number sentences to equations.
Open the syllabusNY7 / A / 02
Displays, chance and percentages.
Open the syllabusNY7 / A / 03
Breaking problems into clear steps.
Open the syllabusNY7 / X / 01
Contest problems for confident students.
Open the syllabusNY7 / X / 02
An early look at Years 9 and 10.
Open the syllabusNY7 / X / 03
Filling earlier gaps quickly and without fuss.
Open the syllabusWhat lessons look like
Our teachers are based in India, which runs behind every Australian state. In Sydney during daylight saving, a 5 pm class starts at 11.30 am India time, so slots after school and sport are easy to hold.
Early evening
After sport and homework, for most Year 7 students.
Weekend morning
A calmer option during busy terms.
Holiday catch-up
Focused blocks on fractions or percentages.
Students sketch a double number line before reaching for a calculator.
Ten per cent and five per cent become second nature.
Grouped by what they can do now, not by age alone.
For specific gaps from primary school or a fresh start.
A short summary after each block of lessons.
We teach mathematics; the result is the student's own.
Student work
Projects made out of curiosity rather than for marks. More in the student labs.

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Fees
We bill Australian families monthly in US dollars, our standard rate outside India. No deposit is needed, and you may stop at the end of any month.
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One to one
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Questions about Year 7 NAPLAN numeracy
65 minutes, sat after the conventions of language test within the national window.
Only after the first part. The test opens with a short non-calculator section; for the remainder an online calculator is available, and students cannot return to the first section.
Within the national window of 10 to 22 March 2027, on a day set by the school.
Two parallel number lines that show two quantities growing together, such as students and per cent, or kilometres and minutes. Whatever is done to one line is done to the other, which makes proportion visible.
ACARA lists skills including calculating fractions and percentages of a quantity, solving problems involving a simple proportion, and locating points on the Cartesian plane.
Benchmarks such as 10 per cent, 5 per cent, a quarter and a half, fraction of a quantity, and order of operations. These cover most arithmetic a student must show without a device.
It covers more content and adds the calculator split, but ACARA builds most questions on skills from earlier years, with a few that reach ahead.
No. Our classes are mathematics only.
No. We never promise a level or score; we teach the maths that the test draws on.
We set one weekly time after the free trial. During daylight saving Sydney is five and a half hours ahead of India time, so 5 pm in Sydney is 11.30 am India time.
Related pages
NAPLAN across the years, coding and maths support.
All four year levels and the testlet design.
Algebra and the next calculator test.
Programming in the Years 7 and 8 curriculum.
Live lessons for every year.
Contests worth a try in Year 7.
Puzzles beyond the syllabus.
Start here
Tell us what your child is finding hard, whether fractions, percentages or the new pace of secondary school. The trial lesson starts there.
Browsing first? Compare every maths course on the course atlas, or read how we teach for a lesson in detail.
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