Year 12 VCE Maths - General Mathematics sample questions
Year 12 VCE Maths - General Mathematics sample questions
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Year 12 VCE General Mathematics practice questions
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Try a short public sample of Year 12 VCE General Mathematics questions selected from the reviewed Skill Align demo set.
Skills covered
Practice data, finance, matrices, networks, measurement, recurrence, statistics, probability, and modelling.
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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 12General MathematicsData analysishardregression 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 12General MathematicsRecursion and financial modellinghardfinance 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 12General MathematicsMatriceshardtransition 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
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 12General MathematicsNetworkshardnetwork 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
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 12General MathematicsDecision mathematicshardcritical 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 12General MathematicsSeasonal forecastinghardforecast 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
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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Practice Summary
Year 12 · VCE Maths - General Mathematics · Test mode · 1 questions · 10 min
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