Hobart · Prep to Year 12 and adults · Live online maths

Maths tutor in Hobart

Anyone who has driven up kunanyi knows the road is steep, but how steep? The LIST, Tasmania's official map data, lets us measure it. Pinnacle Road starts between the 460 and 470 metre contour lines and climbs to a spot height of 1,271 metres, over about 10.6 kilometres of road. That is an average grade of about 7.6%, an angle of only 4.4 degrees. Draw a straight line from the bottom to the top instead and the grade jumps to 26.5%. Two honest answers to one question, and the difference is the whole point of gradient: it depends on what you count as the run. That is how we teach maths to Hobart learners, from Prep number work to TASC Mathematics Specialised.

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Maths tutor in Hobart, in brief

Modern Age Coders is an online maths tutor for Hobart learners aged 6 to 67, teaching primary and high school maths and the TASC senior courses, including General Mathematics, Mathematics Methods and Mathematics Specialised, plus adult maths. Teaching happens over live video, booked in Hobart time, privately or in a class of fifteen to twenty matched by level. Our Hobart example measures Pinnacle Road from LIST data: about 806 metres of climb over 10,574 metres of road, a 7.62% grade. The opening lesson is free.

Start here in Hobart

Three courses most Hobart learners need

Chosen for the three moments families usually get in touch: number sense slipping in primary, algebra wobbling in high school, and the step up to a TASC course.

Mental Maths for Kids course thumbnail

HBA / 1

Number sense, ages 5 to 10

Calculating in the head with understanding, the base for every later topic.

Open the syllabus →
Algebra Foundations course thumbnail

HBA / 2

Algebra, rebuilt

For a Year 7 to 10 student who has lost the thread of letters and equations.

Open the syllabus →
High School Mathematics course thumbnail

HBA / 3

College maths

Functions, trigonometry and calculus for students heading into TASC Mathematics Methods.

Open the syllabus →

A Hobart worked example

How steep is the road up kunanyi?

Gradient is rise divided by run. The LIST gives both, once you decide what the run should be.

We took every segment of Pinnacle Road from the LIST and linked them into one route. Its lower end lies between the 460 m and 470 m contour lines, so we use 465 m and carry the 10 m uncertainty. The highest spot height beside the road's top is 1,271 m. The rise is therefore 806 m, give or take 5 m. Following the road from its lower end to the point nearest that spot height covers 10,574.5 m; a straight line between the same two points is 3,043.8 m.

Two runs, two gradients (our calculation from LIST data)
Run usedRun (m)GradientPercent gradeAngle
Along the road10,574.5806 / 10,574.5 = 0.07627.62%4.36 degrees
Straight line, bottom to top3,043.8806 / 3,043.8 = 0.264826.48%14.83 degrees

Percent and angle are different

A 7.62% grade is not 7.62 degrees. The angle is the inverse tangent of the gradient, which gives 4.36 degrees here. Mixing the two up is one of the most common gradient mistakes.

The quick method wins on the road

For small slopes, the gradient itself is almost the angle in radians. That shortcut gives 4.37 degrees for the road, out by 0.01 of a degree. For everyday road grades it is all you need.

And fails on the steep line

For the straight line the same shortcut gives 15.17 degrees against the true 14.83. The steeper the slope, the more the shortcut overstates the angle.

What students practise

Rise over run, converting a gradient to a percent and to an angle with inverse tangent, and carrying an uncertainty (801 to 811 m) through to the answer: 7.57% to 7.67%.

Younger students compare "steep" and "gentle" with simple ratios; senior students meet the small-angle approximation properly.

Why the run matters

The road zigzags, so it is more than three times as long as the straight line and its grade is far gentler. Both numbers are correct; they answer different questions.

Real maths starts with choosing which question you are asking.

Data: the LIST, State of Tasmania (CC BY 3.0 AU), transport, contour and spot height layers, queried 14 October 2026. Lengths and gradients are our own calculations.

One road, every year level

The same Pinnacle Road numbers, from Year 5 to Year 12

Good data can carry a whole maths course. Here is how the two measurements above, 806 metres of rise and 10,574.5 metres of road, become tasks at different stages.

Tasks built on the Pinnacle Road figures (our worked answers)
StageQuestionWorked answer
Years 5 and 6Walking at 4 km/h, how long would the road take?10.57 km / 4 km/h, about 2 hours 39 minutes
Years 7 and 8How many metres higher for each kilometre of road?806 / 10.57, about 76 m per km
Years 7 and 8Write the grade as "1 in something"10,574.5 / 806, about 1 in 13
Years 9 and 10A cyclist averages 12 km/h. How fast do they climb?About 53 minutes, so about 15 m of height per minute
Years 11 and 12Why is the average grade not the steepest grade?An average spreads the climb evenly; real roads have steeper and gentler stretches

Why one data set helps

When a learner meets the same numbers in a new form each year, the earlier work stops being a forgotten topic and becomes a tool. A Year 9 student who once found the walking time already trusts the 10.57 km figure.

It also shows that units and rounding matter: 10,574.5 metres and 10.6 kilometres are the same road described at different precisions.

Averages and rates of change

The last question leads to a big idea in senior maths. A 7.62% average grade hides the variation along the road, just as an average speed hides stops and starts. Calculus describes how a rate changes from point to point.

Students who have walked or driven a steep road understand this quickly, because they have felt it.

Years 11 and 12 in Tasmania

The TASC mathematics courses

The Tasmanian Assessment, Standards and Certification office lists its senior mathematics courses by level, each with a course code and TCE credit points.

TASC mathematics courses (TASC course list, read 14 October 2026)
LevelCourseCodeTCE credit points
4Mathematics SpecialisedMTS41511815
4Mathematics MethodsMTM41511715
3General MathematicsMTG31512315
3Mathematics Methods - FoundationMTM31511715
2Essential Mathematics - PersonalMEP21512315
2Essential Mathematics - WorkplaceMEW21512315
2General MathematicsMTG21512315

Which level suits whom

Mathematics Methods - Foundation at Level 3 is a common bridge into Mathematics Methods at Level 4; Mathematics Specialised sits beside Methods for students who want the most mathematics. General Mathematics suits students who want useful, applied maths.

Our TASC Mathematics Methods tutoring page goes deeper into that one course.

Our limits

Tutoring builds understanding and exam habits. It cannot promise a particular TASC rating, a score or an ATAR, and we never claim it does.

Folios and internal tasks belong to the student; we teach the maths behind them and leave the writing to the student.

Source: TASC, Mathematics courses, read 14 October 2026.

Prep to Year 12

What a Hobart learner works on, year by year

Each stage has one idea that matters more than the rest, and we build lessons around it.

The idea at the centre of each stage, with a Hobart-flavoured example
YearsCentral ideaAn example we might use
Prep to 2Numbers are made of tens and onesCounting boats at the waterfront in groups of ten
3 to 6Fractions of a quantitySplitting a 2.4 km walk into equal stages
7 and 8Letters stand for numbersA rule for the cost of n bus trips
9 and 10Straight-line graphs and their slopesThe grade of a street, as a gradient
11 and 12Functions, rates of change and calculusHow fast height changes along a road
AdultsWhatever was skippedPercentages for work, rebuilt from scratch

Tests along the way

Year 3, 5, 7 and 9 students sit NAPLAN; our NAPLAN numeracy page covers it. Students who like a challenge can work through Australian Mathematics Competition practice.

This page is about the week-to-week maths underneath those tests.

Two kinds of learner

One kind wants to go further than class allows. The other has lost confidence after a bad topic. The free lesson shows which one we are teaching.

Adult learners have their own groups.

Learning in Hobart

Hobart learners in numbers, and the 2027 school year

The Census counts who was studying in Greater Hobart, and the education department publishes the 2027 terms our lessons follow.

Greater Hobart residents attending education, 2021 Census
Where they studyPeople
Primary school20,455
Secondary school14,563
TAFE and other vocational education7,808
University or other higher education12,087
Tasmanian government school terms, 2027
TermDates
Term 14 February to 9 April
Term 226 April to 2 July
Term 319 July to 24 September
Term 411 October to 16 December

Lessons pause in the school holidays unless a family asks for revision sessions. We have no connection with any Hobart school, college or university.

Sources: ABS, 2021 Census QuickStats, Greater Hobart; Department for Education, Children and Young People, term dates, read 14 October 2026.

Lesson times

A Hobart afternoon is our teachers' midday

India does not use daylight saving; Hobart does, from the first Sunday in October to the first Sunday in April. So the same Hobart lesson time falls at a different hour for the teacher, and we handle that, not you.

Two sample Hobart lesson times and the matching hour in India
Hobart lessonWinter (AEST)Summer (AEDT)
4:30pm after school12:00 noon in India11:00am in India
7:00pm evening2:30pm in India1:30pm in India

A private teacher

One learner, one teacher, a fixed weekly slot. Good before a TASC exam or after a topic test that went badly.

A level-matched class

Between five and ten learners who are at the same point, taught by the same person each week.

Working we can see

Learners write their steps on a shared board, so mistakes are caught at the step where they start.

Progress

Four milestones on the way to TASC maths

Milestones, not ages: a learner moves on when the skill holds up in a new problem.

Milestones and how we check them
Usually aroundMilestoneHow we check it
Prep to Year 31. Place valueThey explain why 56 is five tens and six ones
Years 4 to 62. RatesThey compare two slopes written as "1 in 13" and "1 in 4"
Years 7 to 103. GradientThey turn the same rise and run into a fraction, a percent and an angle
Years 11 and 124. ApproximationThey say when a shortcut is safe and prove it with numbers

Starting late in college

A student who joins in Year 11 often needs some Year 9 and 10 algebra mended first. We give an honest estimate of how long at the start.

Trigonometry and functions are the usual gaps.

Grown-ups

Adults tend to make quick progress once the words come back to them.

Common reasons: work calculations, a bridging unit, or helping a child.

All courses

Maths courses for Hobart learners

Laid out by stage. Titles are our international course names; the lessons follow the Tasmanian year a learner is in.

I

Prep to Year 6

Primary
II

Years 7 to 10

High school
III

Years 11, 12 and adults

College and beyond

Week to week

What a Hobart family can expect

The routine is simple, and it stays the same through the clock changes in October and April.

Weekday afternoons

Primary and Years 7 to 10.

Weekday evenings

College students and adults.

Saturday or Sunday

For a slower lesson.

A familiar face

Learners keep the same teacher, who knows their history.

A note home

Parents hear briefly and honestly how it went.

Matched classmates

Classes are formed by level, not age alone.

Real numbers

Maps and Census tables sit beside textbook work.

Exam weeks

Extra private lessons can be added before TASC exams.

Why before how

A method is explained before it is drilled.

Student work

What learners build with their maths

Projects by students who started with number work like this. More in the student labs.

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Fees

Fees for maths lessons in Hobart

One monthly fee, charged in US dollars to families outside India; there is no joining fee and no minimum term.

Free first class

USD 0

no card required

  • A complete lesson at the right level
  • Plain advice on next steps
  • No card required
Book it

Group batch

USD 100

a month, billed in US dollars

  • A class of fifteen to twenty at one level
  • One teacher all term
  • Homework marked
  • Cancel at the end of any month
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One to one

USD 150

a month, billed in US dollars

  • A teacher just for the learner
  • Shaped around one goal
  • Handy before TASC exams
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What families say

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Hobart maths questions

Maths tutoring in Hobart: common questions

Do you tutor maths for Hobart students online?

Yes. Every lesson is live on video and booked in Hobart time, either privately or in a class of fifteen to twenty learners at the same level.

Which TASC maths courses can you help with?

General Mathematics at Levels 2 and 3, Mathematics Methods - Foundation, Mathematics Methods and Mathematics Specialised at Level 4, and the Essential Mathematics courses.

What is the difference between a percent grade and an angle?

A percent grade is rise over run times 100; the angle is the inverse tangent of rise over run. Pinnacle Road averages a 7.62% grade but only a 4.36 degree angle.

How steep is Pinnacle Road on average?

By our calculation from LIST data, about 806 metres of climb over 10,574.5 metres of road: a 7.62% grade, or 4.36 degrees.

Will tutoring guarantee a TASC rating or an ATAR?

No. We teach carefully and report honestly, but no tutor can promise a rating, a score or an ATAR.

Can a Prep or Year 1 child start?

Yes. Young children begin with counting, place value and shapes, with plenty of objects and pictures.

What happens when the clocks change?

Nothing changes for you. Lessons stay at the same Hobart time; we move the teacher's side.

Can adults learn too?

Yes, in adult classes or privately, for work, study or simply to understand maths properly.

What are the fees?

The first lesson is free. After that a monthly fee applies, shown in the fees panel on this page.

Also on this site

More pages for Tasmanian learners

Deeper pages on TASC and national maths, and our Hobart coding page.

TASC Mathematics Methods

The Level 4 course in depth.

NAPLAN numeracy

Years 3, 5, 7 and 9.

Maths, Years 7 to 10

Help across the national curriculum.

Year 12 holiday revision

Short courses in the breaks.

What a maths tutor costs

Prices and what affects them.

Coding classes in Hobart

Programming for Hobart learners.

Start here

Try a free maths lesson

Tell us the learner's year and what feels hard right now. We teach a proper lesson, then say plainly what would help.

Prefer to read first? See how we teach or online maths tutoring across Australia.

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

Messages reach our India-based team, which is why the number starts with +91; there is no office in Tasmania. WhatsApp is usually the fastest route.

Free, no card, no obligation.

Want a class sooner? Book a priority demo

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