VCE Maths Methods tutoring

Units 1–4 · Online, one-to-one · $60/hour

Hi, I'm Xavier! Bring the questions you're stuck on, or we can work towards your next SAC or exam together.

2025 Viewbank College Dux · 98.95 ATAR · raw study score of 44 in Methods

Lessons

Bring a question from school, or tell me what you're covering and we'll choose a starting point. We'll work through it together, with time for you to try the steps and ask questions.

We can also work on CAS, clear written working, and revision for SACs or exams. Lessons use Zoom and a shared whiteboard, and you can keep our working for revision.

About me

I'm studying Engineering (Honours) at Monash University and have tutored privately since January 2026. Outside uni and tutoring, I fly gliders at Benalla.

I hold a valid Victorian Working with Children Check.

Character reference

“Xavier remains calm and patient at all times, even when students are frustrated or lacking confidence.”

Julien Baggiere, Year 12 Methods teacher · 25 January 2026

Read the reference on HighSchoolTutors

Practice questions

I make worksheets and practice SACs with worked solutions. These two examples practise using a position function in different ways.

Calculus · Methods Units 1–2

Textbook example

Differentiate a given position function and interpret the motion.

A particle’s position x, in centimetres, is given as a function of time t, in seconds. x(t) = t³ − 6t² + 5, t ≥ 0. Find its initial position, velocity and acceleration, and describe its motion. Find when it is at rest, then its position and acceleration at those times.

Open at full size (PDF)

From my practice SAC

Find the constants, then use the model across several parts.

The extra practice is turning the situation into equations: deciding when the front arrives and when the back clears, then combining those times with the gate delays.

A train travels 450 m in 30 seconds, starting and finishing at rest. Its distance from the first station is modelled by: x(t) = pt² + qt³, 0 ≤ t ≤ 30. Show that p = 3/2 and q = −1/30. Later in the SAC, the train reaches a crossing 126 m from the first station. Earlier parts find when the front reaches it. The train is 25 m long. The boom gates at the crossing come down 7 seconds before the front of the train reaches the crossing, and go up 3 seconds after the back of the train has passed it. Find the length of time for which the boom gates are down, correct to the nearest second.

Open at full size (PDF)

Selected parts of Q1 and Q2; intervening parts omitted.

Practice SAC (PDF)Worked solutions (PDF)

Get in touch

Tell me which units you're taking and what you'd like help with. Students and parents are both welcome to contact me.

[email protected]

0421 475 467Text

$60/hour · Online, one-to-one