Year 11 ACT Maths - Mathematical Applications sample questions
Year 11 ACT Maths - Mathematical Applications sample questions
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Year 11 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 11 Mathematical Applications questions
These sample questions are visible on the page before login. They show ACT BSSS Year 11 Mathematical Applications data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.
ACT BSSS Year 11Mathematical ApplicationsData analysishardregression graph
1. A regression model predicts fuel use with y = 14 + 2.3x, where x is load in tonnes. For x = 9, actual fuel use is 38.8 L. What is the residual, using actual - predicted?
Choices
4.1
-4.1
34.7
38.8
Explanation:
The predicted value is 14 + 2.3 x 9 = 34.7. The residual is actual - predicted, so 38.8 - 34.7 = 4.1.
ACT BSSS Year 11Mathematical ApplicationsMatriceshardtransition diagram
2. A row state vector [active, paused] = [650, 350] is multiplied by transition matrix [0.82, 0.18; 0.30, 0.70]. How many members are expected to be active next month?
Choices
638
712
650
1000
Explanation:
Use the active column: 650 x 0.82 + 350 x 0.30 = 533 + 105 = 638.
ACT BSSS Year 11Mathematical ApplicationsNetworkshardnetwork diagram
3. In the network, the shortest route from A to F uses A-B-D-F. If the edge weights on that route are 6, 4, and 7, what is the shortest distance?
Choices
17
19
21
24
Explanation:
Add the weights on the stated shortest route: 6 + 4 + 7 = 17. The competing routes are longer, so the shortest distance is 17.
ACT BSSS Year 11Mathematical ApplicationsMeasurement and trigonometryharddiagram
4. A surveyor stands 48 m from a tower. The angle of elevation to the top is 21°. What is the tower height, to the nearest 0.1 m?
Choices
18.4 m
17.2 m
44.7 m
124.7 m
Explanation:
Use tan(21°) = height / 48. The height is 48 tan(21°) = 18.425..., which rounds to 18.4 m.
ACT BSSS Year 11Mathematical ApplicationsFinancial mathematicshardgrowth graph
5. An investment of 6400 earns 4.8% p.a. compounded quarterly for 18 months. What is the balance, to the nearest cent?
Choices
6,874.85
6,860.80
6,707.20
7,040.00
Explanation:
There are 6 quarters, each at 1.2%. The balance is 6400(1.012)⁶ = 6874.847..., so the balance is 6874.85.
ACT BSSS Year 11Mathematical ApplicationsLinear modellinghardbreak-even graph
6. Venue A costs 180 plus 12 per person. Venue B costs 420 plus 8 per person. For how many people are the costs equal?
Choices
60
40
80
150
Explanation:
Set the costs equal: 180 + 12p = 420 + 8p. Then 4p = 240, so p = 60 people.
For parents comparing ACT BSSS Year 11 Mathematical Applications support
ACT BSSS Year 11 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 11 · ACT Maths - Mathematical Applications · Test mode · 6 questions · 10 min
Questions attempted0 / 6
Correct answersPending
Score-
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