ACT Year 11 Essential Mathematics Practice Questions

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ACT Year 11 Essential Mathematics practice questions

Use Skill Align for ACT Year 11 Essential Mathematics 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.

32 practice skills

ACT Year 11 Essential Mathematics includes 32 practice skills across Number and financial maths, Measurement and practical geometry, Algebra and graphs, and Data and probability.

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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 Essential Mathematics questions

These sample questions are visible on the page before login. They show ACT BSSS Year 11 Essential Mathematics finance, measurement, rates, data, probability, and practical modelling explanations before opening the demo.

ACT BSSS Year 11 Essential Mathematics Financial mathematics hard payslip diagram

1. A payslip shows 38 hours at $31.20 per hour and 4 overtime hours at time-and-a-half. Tax withheld is 19% of gross pay and a $12 fee is deducted. What is the net pay, to the nearest cent?

Choices

$1,099.97
$1,111.97
$1,112.00
$1,372.80

Explanation:

Gross pay is 38 x $31.20 + 4 x $46.80 = $1372.80. Tax is 0.19 x $1372.80 = $260.83 to the nearest cent. Net pay is $1372.80 - $260.83 - $12 = $1099.97.

ACT BSSS Year 11 Essential Mathematics Scale and measurement hard scale plan

2. A site plan uses a scale of 1:150. A rectangular room measures 9.6 cm by 5.4 cm on the plan. What is the actual floor area?

Choices

116.64 m²
51.84 m²
11.664 m²
174.96 m²

Explanation:

At a scale of 1:150, 9.6 cm represents 14.4 m and 5.4 cm represents 8.1 m. The actual area is 14.4 x 8.1 = 116.64 m².

ACT BSSS Year 11 Essential Mathematics Rates and linear models hard break-even graph

3. Plan A costs $28 plus $0.18 per minute. Plan B costs $46 plus $0.06 per minute. At how many minutes do the two plans cost the same?

Choices

150 minutes
100 minutes
180 minutes
240 minutes

Explanation:

Set the costs equal: 28 + 0.18m = 46 + 0.06m. Then 0.12m = 18, so m = 150 minutes.

ACT BSSS Year 11 Essential Mathematics Data and decision making hard weighted score chart

4. A safety score is weighted 40% accuracy, 35% time, and 25% safety. Lee scores 78, 84, and 92 in those categories. What is Lee's weighted score?

Choices

83.6
84.7
78.0
254.0

Explanation:

The weighted score is 0.40 x 78 + 0.35 x 84 + 0.25 x 92 = 31.2 + 29.4 + 23.0 = 83.6.

ACT BSSS Year 11 Essential Mathematics Probability hard probability tree

5. A repair passes the first check with probability 0.82. If it passes the first check, it passes the final check with probability 0.90. If it fails the first check, rework still gives probability 0.35 of passing the final check. What is the probability it passes the final check?

Choices

0.801
0.738
0.287
0.900

Explanation:

Use both branches that end in a final pass: 0.82 x 0.90 + 0.18 x 0.35 = 0.738 + 0.063 = 0.801.

ACT BSSS Year 11 Essential Mathematics Measurement and conversion hard measurement diagram

6. A rectangular water tank is 1.8 m by 1.2 m by 0.75 m and is filled to 80% capacity. How many litres of water are in the tank?

Choices

1296 L
1620 L
129.6 L
972 L

Explanation:

The full volume is 1.8 x 1.2 x 0.75 = 1.62 m³. At 80% capacity, the volume is 1.296 m³, which is 1296 L.

For parents comparing ACT BSSS Year 11 Essential Mathematics support

ACT BSSS Year 11 Essential Mathematics practice should make finance, measurement, rates, data, probability, and practical modelling feel structured rather than guessable. These examples preview that style before the no-login Essential Mathematics demo.

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What this practice and exercise page covers

Essential Mathematics 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

Number and financial maths: Students practise number and financial maths through short targeted questions, explanations, and mode-specific feedback.
Measurement and practical geometry: Students practise measurement and practical geometry through short targeted questions, explanations, and mode-specific feedback.
Algebra and graphs: Students practise algebra and graphs 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.

Number and financial maths
Measurement and practical geometry
Algebra and graphs
Data and probability

Who it is for

ACT students studying Essential Mathematics.

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