Year 12 ACT Maths - Mathematical Applications sample questions
Year 12 ACT Maths - Mathematical Applications sample questions
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Year 12 Mathematical Applications practice questions
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Skills covered
Practice algebra, functions, statistics, probability, discrete applications, finance, and modelling.
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Sample ACT BSSS Year 12 Mathematical Applications questions
These sample questions are visible on the page before login. They show ACT BSSS Year 12 Mathematical Applications data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.
ACT BSSS Year 12Mathematical ApplicationsTime 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.
ACT BSSS Year 12Mathematical ApplicationsLoans 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.
ACT BSSS Year 12Mathematical ApplicationsCritical 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.
ACT BSSS Year 12Mathematical ApplicationsMatriceshardtransition 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.
ACT BSSS Year 12Mathematical ApplicationsExpected 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.
ACT BSSS Year 12Mathematical ApplicationsBivariate 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 ACT BSSS Year 12 Mathematical Applications support
ACT BSSS Year 12 Mathematical Applications 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 Mathematical Applications demo.
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Practice Summary
Year 12 · ACT Maths - Mathematical Applications · Test mode · 2 questions · 10 min
Questions attempted0 / 2
Correct answersPending
Score-
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