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VCE Year 12 General Mathematics practice questions

VCE Year 12 General Mathematics practice questions

Use Skill Align for VCE Year 12 General Mathematics practice questions after the relevant topic has been taught. Students can start with the pathway demo, then practise by topic and mode.

18 practice skills

VCE Year 12 General Mathematics includes 18 practice skills across Data and statistics, Networks, matrices and modelling, Financial mathematics, and Measurement and applications.

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Australian Years 7-12 Exercise and test mode Parent-managed access

What is a practice skill?

A practice skill is a focused topic or question type designed to help students practise one curriculum-aligned concept with instant feedback and explanations. Skill Align uses practice skills to organise questions by year level, subject, strand, and curriculum focus.

Sample VCE General Mathematics questions

These sample questions are visible on the page before login. They show the style of General Mathematics data, finance, matrices, networks, and decision-mathematics explanations before opening the VCE General Mathematics demo.

VCE Year 12 General Mathematics Data analysis hard regression graph

1. A regression model predicts a study score with y = 42 + 0.65x, where x is the practice-test score. For x = 20, an actual study score is 58. What is the residual, using actual - predicted?

Residual from a regression line P L r
Choices
  • 3
  • -3
  • 13
  • 55
Explanation:

The predicted value is 42 + 0.65 x 20 = 55. The residual is actual - predicted, so 58 - 55 = 3. The point is 3 units above the model.

VCE Year 12 General Mathematics Recursion and financial modelling hard finance graph

2. A loan balance follows Bₙ₊₁ = 1.005Bₙ - 420 with B₀ = $18,000. What is B₂, to the nearest cent?

Loan balance after two recurrence steps B₂ n $
Choices
  • $17,338.35
  • $17,670.00
  • $17,490.00
  • $18,180.90
Explanation:

First B₁ = 1.005 x 18000 - 420 = 17670. Then B₂ = 1.005 x 17670 - 420 = 17338.35, so the balance is $17,338.35.

VCE Year 12 General Mathematics Matrices hard transition diagram

3. A row state vector [active, inactive] is multiplied by transition matrix [0.60, 0.40; 0.30, 0.70]. Starting from [800, 200], how many users are expected to be active next month?

Two-state transition model A I T
Choices
  • 540
  • 560
  • 620
  • 700
Explanation:

The next active total uses the active column of the transition matrix: 800 x 0.60 + 200 x 0.30 = 480 + 60 = 540.

VCE Year 12 General Mathematics Networks hard network diagram

4. In the network, the shortest route from A to F uses A-C-D-F. If the edge weights on that route are 6, 2 and 4, what is the shortest distance?

Shortest route through a network A F 12
Choices
  • 12
  • 13
  • 15
  • 16
Explanation:

Add the weights along the stated shortest route: 6 + 2 + 4 = 12. The competing routes are longer, so the single best answer is 12.

VCE Year 12 General Mathematics Decision mathematics hard critical path diagram

5. A project network has two branches before final task E: A then C takes 4 + 5 days, and B then D takes 6 + 3 days. Task E takes 2 days after both branches finish. What is the minimum completion time?

Project network with two equal critical branches S E 11
Choices
  • 11 days
  • 9 days
  • 14 days
  • 20 days
Explanation:

The two required branches each take 9 days. Task E cannot start until both are complete, so the project takes 9 + 2 = 11 days.

VCE Year 12 General Mathematics Seasonal forecasting hard forecast graph

6. A deseasonalised trend for quarterly sales is T = 120 + 8t. For quarter 3 at t = 6, the seasonal index is 1.15. What forecast actual sales is closest?

Seasonal index applied to a trend T F S
Choices
  • 193
  • 168
  • 146
  • 201
Explanation:

The trend value is 120 + 8 x 6 = 168. Apply the seasonal index: 168 x 1.15 = 193.2, so the closest forecast actual sales is 193.

For parents comparing VCE General Mathematics support

VCE General Mathematics practice should make data analysis, recursion, financial modelling, matrices, and networks feel structured rather than guessable. These examples preview that applied reasoning before the no-login General Mathematics demo.

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Ready to continue? Use the normal Skill Align pages below to preview questions, check full curriculum coverage, or compare pricing before deciding whether to sign up.

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What this practice page covers

General Mathematics practice sits inside VCE Mathematics Units 3 and 4 practice pathways, with Units 1 and 2 context available through the full curriculum coverage, with Skill Align keeping the route focused on the selected maths pathway.

Senior practice is organised by pathway, unit, topic, and mode so students can revise targeted areas rather than sitting a full-paper workflow every time.

Start with the public sample questions to check the question style, then use the curriculum coverage page to choose a topic that matches the student's current classwork.

Preview question styles
  • Data and statistics: Students practise data and statistics through short targeted questions, explanations, and mode-specific feedback.
  • Networks, matrices and modelling: Students practise networks, matrices and modelling through short targeted questions, explanations, and mode-specific feedback.
  • Financial mathematics: Students practise financial mathematics through short targeted questions, explanations, and mode-specific feedback.
Suggested first practice steps
  • Preview the public sample questions before creating a saved student session.
  • Choose one focus area that has already been introduced at school.
  • Use exercise mode for immediate explanations, then test mode when the student is ready for delayed feedback.
Example focus areas
View full curriculum coverage

These examples are not the full topic list. Use the curriculum coverage page for the complete mapped pathway.

  • Data and statistics
  • Networks, matrices and modelling
  • Financial mathematics
  • Measurement and applications
Who it is for

Victorian students studying General Mathematics.

Common search wording
VCE Year 12 General Mathematics practice questionsVCE General Mathematics practice questionsGeneral Mathematics online practiceVCE Maths - General Mathematics practice questions
Questions parents ask
Can students try vce year 12 general mathematics practice questions before subscribing?

Yes. Public sample pages let visitors preview curated Skill Align questions without creating a saved student test record.

Does Skill Align replace school lessons or tutoring?

No. Skill Align is designed for structured practice after students have learned topics at school or with a teacher.

Can parents choose only one subject?

Yes. Skill Align uses subject-based access, so families can start with the year level and subject the student needs now.

Skill Align independently prepares practice pathways aligned to publicly available curriculum and syllabus information. Official requirements should always be checked with the relevant authority.