ACT Year 11 Mathematical Applications Practice Questions

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ACT Year 11 Mathematical Applications practice questions

Use Skill Align for ACT Year 11 Mathematical Applications practice questions and exercise questions after the relevant topic has been taught. Students can start with the pathway demo, then practise by topic and mode.

24 practice skills

ACT Year 11 Mathematical Applications includes 24 practice skills across Data and statistics, Networks, matrices and modelling, Financial mathematics, and Measurement and applications.

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A practice skill is a focused topic or question type designed to help students practise one curriculum-aligned concept with instant feedback and explanations. Skill Align uses practice skills to organise questions by year level, subject, strand, and curriculum focus.

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 11 Mathematical Applications Data analysis hard regression 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 11 Mathematical Applications Matrices hard transition 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 11 Mathematical Applications Networks hard network 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

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 11 Mathematical Applications Measurement and trigonometry hard diagram

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 11 Mathematical Applications Financial mathematics hard growth 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 11 Mathematical Applications Linear modelling hard break-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

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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What this practice and exercise page covers

Mathematical Applications practice sits inside ACT BSSS Year 11 mathematics planning coverage across Essential Mathematics, Mathematical Applications, Mathematical Methods, Specialist Methods, Specialist Mathematics, algebra, calculus, statistics, probability, finance, and modelling, with Skill Align keeping the route focused on the selected maths pathway.

Senior practice is organised by pathway, unit, topic, and mode so students can revise targeted areas rather than sitting a full-paper workflow every time. Skill Align treats practice questions and exercise questions as the same learning workflow: students answer curriculum-aligned questions, review explanations, and move between exercise mode and test mode.

Start with the public sample questions to check the question style, then use the curriculum coverage page to choose a topic that matches the student's current classwork.

Preview question styles

Data and statistics: Students practise data and statistics through short targeted questions, explanations, and mode-specific feedback.
Networks, matrices and modelling: Students practise networks, matrices and modelling through short targeted questions, explanations, and mode-specific feedback.
Financial mathematics: Students practise financial mathematics through short targeted questions, explanations, and mode-specific feedback.

Suggested first practice steps

Preview the public sample practice and exercise questions before creating a saved student session.
Choose one focus area that has already been introduced at school.
Use exercise mode for immediate explanations, then test mode when the student is ready for delayed feedback.

Example focus areas

View full curriculum coverage

These examples are not the full topic list. Use the curriculum coverage page for the complete mapped pathway.

Data and statistics
Networks, matrices and modelling
Financial mathematics
Measurement and applications

Who it is for

ACT students studying Mathematical Applications.

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