BNE / P1
Early maths
Counting with objects.
Open the syllabusBrisbane · Prep to Year 12 and adults · Maths online, on Brisbane time
Look at the Brisbane River on a map and it barely seems to go anywhere. It loops round St Lucia, bends back past the city and doubles on itself again before reaching the bay. On the stretch we measured, the water travels 83.92 kilometres to make progress of only 39.0 kilometres as the crow flies, a ratio geographers call sinuosity. Measuring it raises real questions: which ruler, which endpoints, and how much detail is enough? Those are the questions good maths teaching asks. Our live online maths tutoring serves Brisbane learners from Prep to Year 12 and adults, with lessons on Brisbane time, which never changes for daylight saving.
Maths only on this page · Prep to adult · Independent of every Brisbane school and university
Maths tutor in Brisbane, in brief
Brisbane learners aged 6 to 67 can study maths live online with Modern Age Coders: primary and secondary maths, Queensland senior subjects including Mathematical Methods and Specialist Mathematics, and adult maths. Lessons are timed in Brisbane, where clocks never change, and run either privately or with fifteen to twenty learners at the same level. The opening lesson is free.
How Brisbane families usually begin
Primary number and measurement, algebra for the junior secondary years, and senior functions and calculus. The complete list appears below.

BNE / 1
Prep to Year 6: number, fractions and measurement, with plenty of estimating before calculating.
Open the syllabus →
BNE / 2
Years 7 to 10: algebra, ratio, measurement and geometry, ready for senior subjects.
Open the syllabus →
BNE / 3
For Years 11 and 12: functions, calculus and statistics for Mathematical Methods and Specialist Mathematics.
Open the syllabus →Prep to Year 12
Queensland children start with Prep and finish with Year 12. We teach every year in between, and adults who want to revisit any of it.
| Stage | Years | Emphasis |
|---|---|---|
| Prep and early primary | Prep to Year 2 | Counting, comparing and first addition |
| Primary | Years 3 to 6 | Times tables, fractions, area and length |
| Junior secondary | Years 7 to 9 | Integers, algebra, geometry and statistics |
| Year 10 | Year 10 | Getting ready for a senior maths subject |
| Senior | Years 11 and 12 | Methods, Specialist or another senior maths subject |
| Adults | Up to 67 | Bridging, workplace and interest-led maths |
Families looking at the Queensland Academies can read our Queensland Academies entry maths page. For national tests there is NAPLAN numeracy practice.
This page is about maths at every stage.
Catching up after a difficult unit, extension for a keen student, and adults preparing for a university bridging course.
The free first lesson shows which applies.
Senior maths in Queensland
Queensland's curriculum authority did not answer our requests, so we use the subject names that UQ itself prints in its course prerequisites. Those name two Queensland Year 12 subjects directly.
| Subject | Where UQ names it | In general terms |
|---|---|---|
| Mathematical Methods (Units 3 and 4) | Prerequisite for MATH1051 Calculus and Linear Algebra I, and for MATH1050 if MATH1040 is not taken | Functions, calculus and statistics |
| Specialist Mathematics (Units 3 and 4) | One route into MATH1050 Mathematical Foundations II | Vectors, complex numbers, proof and further calculus |
Queensland schools offer other senior maths subjects as well, which we also teach. We do not list them here because we could not read the authority's own pages; your school's subject guide is the place to check.
UQ also offers a bridging unit, MATH1040, for students who did not take Methods.
Careful teaching, practice and exam habits. No promised results or ATAR, and internal assessments remain the student's own work.
We help students weigh up subject choices honestly.
Reading a prerequisite carefully is itself a maths skill. The University of Queensland pages specify the units of the subject (Units 3 and 4), a minimum result, and an "or equivalent" clause, and they offer a bridging course for students who took a different path. Students who learn to read conditions like these precisely, with every "and" and "or" in its place, find the logic sections of senior maths far less mysterious. We often use real prerequisite statements as reading practice before a unit on logic or sets.
Sources: The University of Queensland, MATH1051 and MATH1050 course pages, read 13 October 2026.
A Brisbane worked example
Sinuosity is the length of a river's channel divided by the straight-line distance between its ends. A perfectly straight river scores 1; the more it winds, the higher the number.
We downloaded the centre line of the Brisbane River from OpenStreetMap wherever it crosses a rectangle around the city, then followed the channel from its western end to its eastern end near the bay. The channel runs 83.92 kilometres; the straight line between the two ends is 39.0 kilometres. The sinuosity of the whole stretch is therefore 2.15. We then cut the channel into five sections of equal length and measured each one.
| Section | Channel (km) | Straight line (km) | Sinuosity |
|---|---|---|---|
| Section 1 | 16.78 | 7.69 | 2.18 |
| Section 2 | 16.78 | 8.72 | 1.92 |
| Section 3 | 16.78 | 8.00 | 2.10 |
| Section 4 | 16.78 | 6.41 | 2.62 |
| Section 5 | 16.78 | 13.22 | 1.27 |
| Ruler step | Measured length (km) |
|---|---|
| 100 metres | 83.64 |
| 1 kilometre | 78.79 |
| 5 kilometres | 56.44 |
| 10 kilometres | 47.81 |
Section 4 scores 2.62: its water travels more than two and a half times as far as a straight line would. Section 5, nearest the bay, is the straightest at 1.27.
A 10 kilometre ruler skips every bend and measures only 47.81 kilometres, little more than half the channel. Every measured length depends on the step size.
A 100 metre ruler gives 83.64 kilometres, within half a per cent of the full mapped line. Past that point, extra detail changes nothing worth knowing.
Ratios, distance between points, adding many short lengths, and how a measurement depends on the instrument. Senior students connect it to arc length and limits.
Primary learners can trace the river with string on a printed map and compare it with a ruler.
The result depends on our rectangle and on how the map draws the river, so it describes this mapped stretch, not an official river length. We make no claim about the river's total length.
Map data: OpenStreetMap contributors, ODbL.
The ruler table is the heart of the lesson for older students. It shows that "the length of a river" is not one fixed number but depends on how closely you follow it. The idea leads naturally to limits in senior calculus: as the steps get shorter, the measured length settles towards a value, and the question becomes how short is short enough. For a wandering river on a map, 100 metres already is.
| Year level | Task | Big idea |
|---|---|---|
| Years 3 to 5 | Lay string along the river on a printed map, then straighten it against a ruler | Curved and straight distance differ |
| Years 6 to 8 | Divide channel length by straight distance for three sections | Ratios compare shapes, not sizes |
| Years 9 and 10 | Add Pythagoras distances between map points | Length of a path from coordinates |
| Years 11 and 12 | Shrink the step and watch the total settle | Limits and arc length |
Data: OpenStreetMap, Brisbane River waterway ways, one Overpass query on 13 October 2026. Lengths, sections and ratios are our calculation.
Brisbane learners
How many people in Greater Brisbane were studying in 2021, and the highest level of schooling or training adults had completed.
| Measure | People |
|---|---|
| Attending primary school | 214,799 |
| Attending secondary school | 176,965 |
| Attending vocational education, including TAFE | 58,186 |
| Attending university or other higher education | 138,872 |
| Highest level Year 12 | 335,842 (16.4%) |
| Highest level Year 10 | 210,511 (10.3%) |
| Highest level Certificate III | 277,477 (13.6%) |
| Highest level Advanced Diploma or Diploma | 200,443 |
Certificate III is the highest qualification for 13.6% of Brisbane residents aged 15 and over. Trade work uses a great deal of practical maths, and adults from trades often want to formalise what they already do well.
We print each figure as the ABS publishes it and never add rows together.
With hundreds of thousands of Brisbane children at school, the requests we see range from Prep counting to Year 12 calculus.
Each learner starts with a free lesson at their level, and the teacher reads the school's current unit before planning anything, so that lessons support classwork instead of competing with it.
Source: ABS, 2021 Census QuickStats, Greater Brisbane, read 13 October 2026, CC BY 4.0.
Online on Brisbane time
Queensland does not use daylight saving, so Brisbane is four and a half hours ahead of India all year round. Lesson times stay put from January to December.
One teacher, one learner, at a weekly time that suits the family.
Between five and ten learners at a similar level, with a regular teacher.
Learners write their working where the teacher can see it, so each slip is spotted early.
Families with relatives in Sydney or Melbourne will know that Brisbane is an hour behind them in summer and level with them in winter. We fix every lesson in Brisbane time, so that change never affects your booking.
Progress
A learner steps on wherever they are.
| Usually | Stone | Secure when |
|---|---|---|
| Prep to Year 2 | 1. Comparing | They can say which of two lengths is longer, and by how much |
| Years 3 to 6 | 2. Measuring | They choose sensible units and read scales accurately |
| Years 7 to 10 | 3. Relating | They express one quantity as a ratio of another |
| Years 11 and 12 | 4. Limiting | They see how many small steps approach a true value |
Late starters often need algebra repaired first. We estimate how long that will take.
Most catch up within a term of focused work.
Adults often come for UQ or other university bridging maths.
We start from what is needed now.
Every maths course
International course names, taught to Queensland stages and senior subjects.
BNE / P1
Counting with objects.
Open the syllabusBNE / P2
Quick, accurate number work.
Open the syllabusBNE / P3
Every primary topic.
Open the syllabusBNE / S1
Algebra and measurement.
Open the syllabusBNE / S2
For lost confidence.
Open the syllabusBNE / S3
Challenging problems.
Open the syllabusBNE / H1
Methods-level content.
Open the syllabusBNE / H2
For Methods and Specialist.
Open the syllabusBNE / H3
Data and chance.
Open the syllabusLesson times
Since Brisbane keeps the same clock all year, a lesson booked once stays at the same time.
After school
Primary and junior secondary.
Evenings
Senior students and adults.
Saturday or Sunday
Longer sessions.
Week after week.
Short and honest.
Matched by level.
Real data beside exercises.
For a test or a gap.
Then practice.
Student work
What students made once the maths was secure. More in the student labs.

AI and ML
An AI nutrition coach that reads what you eat and works you toward a target.

AI and ML
A chatbot that answers mathematics and programming questions, built and deployed by a student.

AI and ML
An assistant that helps a young person recognise unsafe situations online.

Web app
A weather forecasting site with live conditions for any location.
Fees
Brisbane families pay one monthly fee in US dollars. There is no joining fee and no contract.
Free first class
USD 0
no card required
Group batch
USD 100
a month, billed in US dollars
One to one
USD 150
a month, billed in US dollars
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Brisbane maths questions
Identify gaps, explain the missing ideas clearly and build confidence through practice, in live online lessons on Brisbane time, privately or in small groups.
Mathematical Methods and Specialist Mathematics, which UQ names in its course prerequisites, and the other senior maths subjects Queensland schools offer.
The length of a river's channel divided by the straight-line distance between its ends. Our measured stretch of the Brisbane River scores 2.15.
A long ruler cuts across bends. With 10 kilometre steps we measured 47.81 km; with 100 metre steps, 83.64 km.
No. We teach carefully but make no result or ATAR promises.
No. Queensland does not use daylight saving, so Brisbane lessons stay at the same time all year.
Yes, often for university bridging maths or work.
Yes. Algebra, functions and confident graph reading are the usual preparation, and a term of steady weekly lessons is often enough to make the step into Year 11 feel manageable.
The first lesson is free. Monthly fees are shown in the fees section.
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By year level.
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