Glen Waverley · Foundation to Year 12 and adults · Maths by live video

Maths tutor in Glen Waverley

Here is a puzzle made from Glen Waverley itself. In the 2021 Census, the number of residents at primary school and the number at secondary school add up to 6,923, and the primary figure is 97 larger. What are the two numbers? Most Year 9 students reach for trial and error; the elegant answer takes two lines: add the sum and the difference and halve it. The result, 3,510 at primary and 3,413 at secondary, matches the published counts exactly. Simultaneous equations are where algebra stops being exercises and starts answering questions, and that is how we teach maths to Glen Waverley learners, from Foundation number to VCE Specialist Mathematics.

Maths only on this page · Foundation to adult · Independent of every Glen Waverley school

Maths tutor in Glen Waverley, in brief

Modern Age Coders is an online maths tutor for Glen Waverley learners aged 6 to 67: Victorian Curriculum maths from Foundation to Year 10, the VCE studies Foundation Mathematics, General Mathematics, Mathematical Methods and Specialist Mathematics, and adult maths. Lessons run on live video in Melbourne time, privately or in level-matched classes of fifteen to twenty. Our local example solves a pair of simultaneous equations whose answers are Glen Waverley's Census counts of primary and secondary students. The first lesson is free.

Where Glen Waverley families start

Three courses for three stages

The courses Glen Waverley families ask for most, from early primary to VCE. Everything else is listed below.

A Glen Waverley worked example

Two numbers from a sum and a difference

The ABS publishes how many Glen Waverley residents attend each kind of educational institution. We hid two of the counts and kept only their sum and their difference.

Let p be the number at primary school and s the number at secondary school. We know p + s = 6,923 and p − s = 97. Adding the two equations gives 2p = 7,020, so p = 3,510. Subtracting gives 2s = 6,826, so s = 3,413. Both match the 2021 QuickStats counts for Glen Waverley.

Two hidden pairs and how they come back (our calculation from ABS counts)
PairSumDifference(Sum + difference) / 2(Sum - difference) / 2
Primary and secondary6,923973,5103,413
University and vocational4,1862,1943,190996

The simple method wins

For a sum and a difference, halving (sum + difference) gives the larger number at once. Substitution, elimination or a matrix all reach the same place with more writing.

Why it always works

Adding p + s and p - s cancels s and doubles p. Once students see the cancellation, the shortcut is a consequence, not a trick to memorise.

A sum we made, not a total

The sums here are our own arithmetic. The ABS adjusts small counts for privacy, so we never present added-up parts as an official total.

What students practise

Writing two equations from words, eliminating a variable, checking the answer in both equations, and noticing when a quicker route exists.

Years 9 and 10 students meet this as linear simultaneous equations; VCE students later solve larger systems with matrices and see the same idea.

When the shortcut stops

If the second equation is not a plain difference, for example 2p - s = 3,607, halving no longer works and elimination is the honest tool.

Knowing which situation you are in is the real skill.

Data: ABS, 2021 Census QuickStats, Glen Waverley, read 14 October 2026. Sums, differences and solutions are our own.

Beyond the puzzle

Where sum-and-difference problems turn up

Once students recognise the pattern, they find it all over their textbooks and in everyday questions.

The same structure in different clothes
SituationSumDifferenceWhat you find
Ages of two siblingsTheir ages add to 26One is 4 years older15 and 11
Two-digit numberDigits add to 11Digits differ by 3The digits 7 and 4
Speeds with and against a currentDownstream speedUpstream speedBoat speed and current speed
Census counts, as above6,923973,510 and 3,413

The river-current version

A boat going downstream moves at its own speed plus the current; upstream, its speed minus the current. Those two measured speeds are a sum and a difference, so the speed of the boat itself is their average and the current is half their difference.

It is the same two-line method, and Year 10 students are often delighted to see a physics question fall to it.

Checking, every time

Students substitute both answers back into both original equations before writing a conclusion. It takes ten seconds and catches most slips.

In VCE, the same discipline applies to much longer systems, where a single sign error can undo a page of work.

Senior maths in Victoria

The four VCE mathematics studies

The VCAA study design covers four mathematics studies, each running from Unit 1 to Unit 4.

VCE mathematics studies (VCAA Mathematics Study Design, read 14 October 2026)
StudyFocus in a sentenceOur detailed page
Foundation Mathematics Units 1 to 4Maths for everyday, workplace and community contextsVCE Foundation Maths
General Mathematics Units 1 to 4Non-calculus and discrete mathematicsVCE General Maths
Mathematical Methods Units 1 to 4Functions, calculus, probability and statisticsVCE Maths Methods
Specialist Mathematics Units 1 to 4Mathematical structures, reasoning and proofVCE Specialist Maths

Specialist depends on Methods

The study design is explicit: "Enrolment in Specialist Mathematics Units 3 and 4 assumes a current enrolment in, or previous completion of, Mathematical Methods Units 3 and 4."

Students planning Specialist should make sure their Methods algebra is secure by the end of Year 11.

No promises about scores

We teach the content and exam habits thoroughly. We do not promise a study score or an ATAR, because those depend on the student and the exams.

School-assessed coursework stays the student's own work.

Source: VCAA, VCE Mathematics Study Design, read 14 October 2026.

Foundation to Year 10

Maths before VCE in Glen Waverley

Most of what decides how VCE goes is built between Foundation and Year 10. Each band below has a skill we make sure is secure.

A secure skill for each band
BandSkill we make secureA quick check
Foundation to Year 2Counting on and back, tens and onesWhat is 10 more than 47?
Years 3 to 6Multiplication facts and fractionsWhich is larger, 3/8 or 2/5?
Years 7 and 8Expressions and one-step equationsIf 3x + 4 = 19, what is x?
Years 9 and 10Linear and simultaneous equationsTwo numbers add to 50 and differ by 8

Selective entry and NAPLAN

Year 8 families considering a selective school can read our Victorian selective entry maths page, and NAPLAN numeracy has its own page.

Everyday maths is what makes both manageable.

Glen Waverley learners

The 2021 Census counted 2,547 Glen Waverley residents aged 5 to 9 and 2,749 aged 15 to 19, with 3,190 at university and 996 in vocational education.

Lessons are online, so learners join from home after school.

Terms and times

The 2027 Victorian school year, on the Melbourne clock

Lessons follow the Victorian terms and are booked in Melbourne time, which changes for daylight saving in October and April.

Victorian school terms, 2027
TermDates
Term 1Wednesday 27 January to Thursday 25 March (government school students start Thursday 28 January)
Term 2Monday 12 April to Friday 25 June
Term 3Monday 12 July to Friday 17 September
Term 4Monday 4 October to Friday 17 December

On the teacher's side

Teachers work from India, where clocks never change. A 6pm Glen Waverley lesson is 1:30pm for them in winter and 12:30pm in summer; nothing changes for the family.

Holiday revision runs by arrangement.

Private or in a class

A private lesson targets one gap or deadline. A class of fifteen to twenty keeps steady pace with classmates at the same level.

Every lesson uses a shared board so the teacher sees each step.

Source: Victorian Government, school term dates and holidays, read 14 October 2026.

Adult learners

Maths for grown-ups in Glen Waverley

Adults learn in their own classes or privately, and the reasons are usually practical.

Helping at home

Parents who want to understand how primary and secondary methods are taught now, so homework help does not contradict school.

Work and study

Spreadsheets, percentages and statistics for work, or a refresher before a university bridging subject.

Unfinished business

People who stopped maths early and want to understand algebra properly this time, at their own pace.

The Census puzzle above works well with adults too. It turns a page of numbers into a question, and the two-line answer is a satisfying reminder that algebra is a tool, not a test.

Progress

From counting on to VCE algebra

Each step is reached when the skill works on an unfamiliar problem, not after a fixed number of weeks.

Steps on the way to VCE
AroundStepReached when the learner can
Foundation to Year 21. CountingCount on and back in tens from any number
Years 3 to 62. FractionsCompare fractions and explain the comparison
Years 7 to 103. EquationsSolve a pair of simultaneous equations two ways
VCE4. SystemsChoose the quickest valid method and justify it

Joining in Year 11

Students who start late often need Years 9 and 10 algebra rebuilt first; we give a realistic timeline at the first lesson.

Functions and equations are the usual gaps.

Adults

Adults tend to move quickly once they see why methods work.

Many start with percentages and equations.

Every course

Maths courses for Glen Waverley

Grouped by stage; card titles are our course names, lessons follow the Victorian Curriculum and VCE studies.

I

Foundation to Year 6

Primary
II

Years 7 to 10

Secondary
III

VCE and adults

Senior and beyond

How it runs

A week of maths from Glen Waverley

Fixed weekly times on the Melbourne clock, with the teacher's side adjusted at each daylight saving change.

After 4pm

Primary and Years 7 to 10.

After 6pm

VCE students and adults.

Weekends

Longer sessions on request.

Same teacher

Continuity from week to week and term to term.

Parent notes

Short, honest updates after lessons.

Grouped by level

Classes form around what learners can do.

Local numbers

Census counts and maps alongside exercises.

Before exams

Extra private lessons can be added.

Methods explained

Why a method works comes before practice.

Student work

Built by our learners

Projects by students who began with number work like this. The student labs have more.

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Fees

Fees for Glen Waverley maths lessons

Families outside India pay a single monthly fee in US dollars. No sign-up charge and no fixed term.

Free first class

USD 0

no card required

  • A full lesson at the learner's level
  • Honest advice afterwards
  • No card details
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Group batch

USD 100

a month, billed in US dollars

  • A class of fifteen to twenty at one level
  • The same teacher all term
  • Practice marked
  • Stop after any month
Start here

One to one

USD 150

a month, billed in US dollars

  • Private teaching
  • Shaped around one aim
  • Useful before VCE exams
Enquire

What families say

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Reviews from our Google profile, as written.

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"My child Dhairya is really enjoying the Modern Age Coders classes. This is his first online class and he eagerly looks forward to it. I can already see his improvement, and the teachers are very cooperative."

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"Modern Age Coders have wonderful teachers who teach in a clear, easy and practical way. The teacher boosts students' confidence and inspires them to learn without hesitation."

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Glen Waverley maths questions

Questions about a maths tutor in Glen Waverley

Do you tutor maths for Glen Waverley students?

Yes, live online in Melbourne time, from Foundation to Year 12 and for adults, privately or in level-matched classes.

Which VCE maths studies do you teach?

Foundation Mathematics, General Mathematics, Mathematical Methods and Specialist Mathematics, across Units 1 to 4.

Can a student take Specialist without Methods?

The VCAA study design says enrolment in Specialist Mathematics Units 3 and 4 assumes current enrolment in, or completion of, Mathematical Methods Units 3 and 4.

How do you find two numbers from their sum and difference?

Add the sum and difference and halve to get the larger; subtract and halve to get the smaller. With a sum of 6,923 and a difference of 97, the numbers are 3,510 and 3,413.

Will tutoring guarantee a study score or ATAR?

No. We teach thoroughly and report honestly, but scores depend on the student and the exams.

Do you help with selective entry maths?

Yes, on a separate page for the Victorian selective entry test; this page covers everyday maths at every level.

What time are lessons?

At fixed Melbourne times, after school or in the evening; the daylight saving changes are handled on our side.

Can adults learn maths with you?

Yes, in adult classes or privately.

Is maths through coding useful for Glen Waverley students?

For many, yes. Writing a short Python program to test a guess, such as checking every pair of numbers with a given sum, makes algebra feel less abstract, and it suits students aged 10 to 15.

Do you teach Foundation Mathematics as well as Methods?

Yes. Foundation and General Mathematics students get the same care as Methods and Specialist students, with examples chosen for practical, everyday contexts.

How much are lessons?

The first lesson is free. Monthly fees for classes and private lessons appear in the fees panel on this page.

Also on this site

More for Glen Waverley learners

VCE pages, the Melbourne maths page and our Glen Waverley coding page.

VCE Maths Methods

Functions, calculus, probability.

VCE Specialist Maths

Proof and structures.

Selective entry maths

For Year 8 applicants.

Maths tutor in Melbourne

The citywide page.

Maths tutoring costs

Prices explained.

Coding in Glen Waverley

Programming for the suburb.

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Book a free Glen Waverley lesson

Tell us the learner's year level and what is hard at the moment. We teach a real lesson and then give a frank view of next steps.

Read first if you like: how we teach and online maths tutoring in Australia.

WhatsApp us · +91 91233 66161 · connect@modernagecoders.com

Our team is based in India, which is why the number begins +91; we have no office in Glen Waverley. WhatsApp is the fastest way to reach us.

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