HSC & Mathematics Tutor in Sydney

Extension 1, Extension 2, 2 Unit, General Maths + Physics, Chemistry, Economics

About Me

My name is Jacques, a dedicated mathematics and science tutor based in Sydney southwest. I specialise in HSC Extension Maths (1 & 2) and high-level science courses for Years 11–12. I also tutor younger grades, building strong foundations early for long-term success.

I am a final-year UNSW student (Commerce/Engineering) with a High Distinction average. My HSC ATAR was 99.55 with marks of 99 in Extension I & II. I have tutored over 200+ students, with many achieving Band 6 or entering their dream university degrees.

I am currently doing part time work with SecurityWholesalers.com.au

📌 Whether you’re aiming for a 99+ ATAR or need confidence and remedial help, I have the tools, methods, and resources to help you succeed.

Subjects Offered

Teaching Approach

I teach in small group classes (max 5–10 students). Each student gains access to a private online forum where they can post questions between lessons. I respond personally, ensuring they are never “stuck” on homework or exam prep. My lessons mix concept mastery, worked examples, and exam-style practice.

Sample Maths Problems by Grade

Year 7

Q: Simplify 4x + 7 – 2x + 3.
A: 2x + 10.
Q: Find the perimeter of a square with side 12 cm.
A: 4 × 12 = 48 cm.
Q: Solve: 5n = 45.
A: n = 9.
Q: Convert 2.5 km to m.
A: 2.5 × 1000 = 2500 m.
Q: Write the first 5 multiples of 7.
A: 7, 14, 21, 28, 35.

Year 8

Q: Expand: (x + 4)(x – 2).
A: x² + 2x – 8.
Q: Simplify: 3(x + 5) – 2x.
A: x + 15.
Q: Write 0.375 as a fraction.
A: 375/1000 = 3/8.
Q: Area of triangle base 12 cm, height 8 cm.
A: (1/2) × 12 × 8 = 48 cm².
Q: Solve: 2x – 7 = 11.
A: 2x = 18 → x = 9.

Year 9

Q: Factorise x² + 5x + 6.
A: (x + 2)(x + 3).
Q: Gradient of line through (2,3) and (6,15).
A: (15 – 3)/(6 – 2) = 12/4 = 3.
Q: Solve: 3x² = 75.
A: x² = 25 → x = ±5.
Q: A bag has 5 red and 3 blue balls. Probability of red?
A: 5/8.
Q: Simplify: √49 + √16.
A: 7 + 4 = 11.

Year 10

Q: Solve: 2x² – 8x = 0.
A: x(2x – 8) = 0 → x = 0 or 4.
Q: Write equation of line with slope 2, intercept –3.
A: y = 2x – 3.
Q: Simplify: (x³ ÷ x).
A: x².
Q: Solve: log₁₀x = 2.
A: x = 100.
Q: Expand: (x – 5)².
A: x² – 10x + 25.

Year 11 (Prelim)

Q: Differentiate f(x) = 2x³ + 5x² – x.
A: f’(x) = 6x² + 10x – 1.
Q: Solve sin θ = 0.5 for 0° ≤ θ ≤ 180°.
A: θ = 30°, 150°.
Q: Equation of circle with centre (2,–3), r=4.
A: (x–2)² + (y+3)² = 16.
Q: Rationalise: 5/√2.
A: (5√2)/2.
Q: Solve: e^x = 7.
A: x = ln(7).

Year 12 (HSC)

Q: Integrate ∫ (x² – 4x + 7) dx.
A: (x³/3) – 2x² + 7x + C.
Q: Find derivative of y = ln(x²).
A: dy/dx = 2/x.
Q: Evaluate limit as x→0: (sin x)/x.
A: 1.
Q: Solve: 2^x = 32.
A: x = 5.
Q: ∫ cos(2x) dx.
A: (1/2) sin(2x) + C.

Sample Physics Questions

Q: A car accelerates from rest at 3 m/s² for 5 s. Distance travelled?
A: s = 0.5at² = 0.5×3×25 = 37.5 m.
Q: Work done by a force of 10 N moving object 4 m?
A: W = Fd = 40 J.
Q: Frequency if wave speed = 300 m/s and λ = 0.75 m.
A: f = v/λ = 300/0.75 = 400 Hz.

Sample Chemistry Questions

Q: Balance: H₂ + O₂ → H₂O.
A: 2H₂ + O₂ → 2H₂O.
Q: Molar mass of NaCl.
A: 22.99 + 35.45 = 58.44 g/mol.
Q: pH of 0.001 M HCl.
A: pH = –log(10⁻³) = 3.

Sample Economics Questions

Q: Define opportunity cost.
A: The value of the next best alternative forgone.
Q: If demand rises but supply is constant, what happens to price?
A: Price increases.
Q: Explain GDP.
A: The total value of all goods and services produced within a country in a year.

Thinking Skills & Logic Puzzles

Q: A man has two sons: one always tells truth, the other always lies. You meet one—what single question guarantees you find out who he is?
A: Ask: “If I asked your brother whether you are the liar, what would he say?” Then invert the answer.
Q: You flip a coin until you get 2 heads in a row. What’s the expected number of flips?
A: 6 flips (classic probability puzzle).
Q: A train leaves at 60 km/h, another at 90 km/h an hour later. When do they meet if same direction?
A: Time = distance gap/speed diff = 60/30 = 2 hrs.

Study & Exam Tips

📖 Tip: Break study into 25-minute chunks with 5-minute breaks (Pomodoro method).
🕒 Tip: Do practice papers under timed conditions — simulating exam pressure is key.
📊 Tip: Learn scaling: Ext 1 & 2 maths scale extremely well — worth the challenge.
🧠 Tip: Focus on understanding “why” not just “how” in solutions — prevents rote learning traps.

Testimonials

"Jacques transformed my son’s maths results — from 65% to 93% in under a year. His methods are clear and supportive." – Parent, Year 12 Student
"Thanks to Jacques, I achieved a Band 6 in Extension 2 and got into UNSW Engineering." – Former Student

Contact

📱 Mobile: 0432 584 822

📧 Email: Jacques.Chang@gmail.com

I reply within 24 hours. Let’s make your goals a reality.