Year 12 TAS Maths - General Mathematics sample questions
Year 12 TAS Maths - General Mathematics sample questions
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Year 12 General Mathematics practice questions
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Sample-question focus
Try a short public sample of Year 12 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 TASC Year 12 General Mathematics questions
These sample questions are visible on the page before login. They show TASC Year 12 General Mathematics data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.
TASC 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.
TASC 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.
TASC 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.
TASC 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.
TASC 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.
TASC 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 TASC Year 12 General Mathematics support
TASC 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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Practice Summary
Year 12 · TAS Maths - General Mathematics · Test mode · 7 questions · 10 min
Questions attempted0 / 7
Correct answersPending
Score-
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How does this demo relate to curriculum coverage?
This demo is linked with the Tasmania Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.