VCE Year 12 General Mathematics Practice Questions

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VCE Year 12 General Mathematics practice questions

Use Skill Align for VCE Year 12 General Mathematics practice questions and exercise 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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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?

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?

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?

Choices

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?

Choices

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?

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?

Choices

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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What this practice and exercise 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. Skill Align treats practice questions and exercise questions as the same learning workflow: students answer curriculum-aligned questions, review explanations, and move between exercise mode and test mode.

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 practice and exercise 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.

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