Year 12 QCE Maths - General Mathematics sample questions
Year 12 QCE Maths - General Mathematics practice preview
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Year 12 QCE General Mathematics practice questions
This public preview page identifies the planned Year 12 QCE General Mathematics demo route and links it to curriculum coverage while the reviewed sample question set is being completed.
Sample-question focus
The planned public sample is for Year 12 QCE General Mathematics practice and will open after the demo questions are reviewed.
Skills covered
Practice data, finance, matrices, networks, measurement, recurrence, statistics, probability, and modelling.
Exercise and test mode
The route is public now; the exercise and test preview will become available after the curated question set is ready.
Curriculum link
Compare this demo with the QCE Year 11-12 Mathematics curriculum page to scan related topics, subtopics, and pathway coverage.
These sample questions are visible on the page before login. They show QCE Year 12 General Mathematics data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.
QCE Year 12General MathematicsTime serieshardforecast graph
1. A trend model predicts 146 bookings for a quarter. The seasonal index for that quarter is 1.08. What is the seasonal forecast, to the nearest whole booking?
Choices
158
146
135
154
Explanation:
Apply the seasonal index to the trend value: 146 x 1.08 = 157.68, which rounds to 158 bookings.
QCE Year 12General MathematicsLoans and investmentshardfinance graph
2. A loan balance follows Bₙ₊₁ = 1.005Bₙ - 520 with B₀ = 18000. What is B₂, to the nearest cent?
Choices
$17,137.85
$17,570.00
$18,090.00
$16,960.00
Explanation:
B₁ = 1.005 x 18000 - 520 = 17570. Then B₂ = 1.005 x 17570 - 520 = 17137.85.
QCE Year 12General MathematicsCritical path analysishardcritical path diagram
3. A project has three possible branches before final task F: A-C-F takes 4 + 6 + 3 days, B-D-F takes 5 + 7 + 3 days, and B-E-F takes 5 + 4 + 3 days. What is the minimum completion time?
Choices
15 days
13 days
12 days
40 days
Explanation:
The branch totals are 13, 15, and 12 days. The project duration is controlled by the longest required branch, so the minimum completion time is 15 days.
QCE Year 12General MathematicsMatriceshardtransition diagram
4. A row state vector [city, regional] = [480, 320] is multiplied by transition matrix [0.76, 0.24; 0.35, 0.65]. How many customers are expected to be in the city state next period, to the nearest whole customer?
Choices
477
480
523
800
Explanation:
Use the city column: 480 x 0.76 + 320 x 0.35 = 364.8 + 112 = 476.8, which rounds to 477.
QCE Year 12General MathematicsExpected valuehardweighted score chart
5. A promotion gives a $120 prize with probability 0.18, a $40 prize with probability 0.35, and no prize otherwise. Entry costs $25. What is the expected net gain per entry?
Choices
$10.60
$35.60
$25.00
-$10.60
Explanation:
Expected winnings are 120 x 0.18 + 40 x 0.35 = 21.60 + 14.00 = $35.60. Subtract the $25 entry cost to get an expected net gain of $10.60.
QCE Year 12General MathematicsBivariate datahardregression graph
6. A regression model predicts demand with y = 52 + 1.8x. For x = 14, actual demand is 81. What is the residual, using actual - predicted?
Choices
3.8
-3.8
77.2
81
Explanation:
The predicted value is 52 + 1.8 x 14 = 77.2. The residual is 81 - 77.2 = 3.8.
For parents comparing QCE Year 12 General Mathematics support
QCE Year 12 General Mathematics practice should make data, finance, matrices, networks, trigonometry, and decision-mathematics feel structured rather than guessable. These examples preview that style before the no-login General Mathematics demo.
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Year 12 QCE Maths - General Mathematics is available to purchase, and the public demo preview is still being prepared.
Students can use the purchased subject once subscribed; this anonymous preview will be opened after the curated public question set is ready.
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Not yet. The Year 12 QCE General Mathematics demo route is public, but the interactive sample questions will open after the reviewed public set is ready.
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No sign-up is required to view the preview status. The no-login interactive demo will be available after the sample set is completed.
How does this demo relate to curriculum coverage?
This demo is linked with the QCE Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.
