QCE Year 12 General Mathematics practice questions
QCE Year 12 General Mathematics practice questions
Use Skill Align for QCE Year 12 General Mathematics practice questions after the relevant topic has been taught. Students can start with the pathway demo, then practise by topic and mode.
24 practice skills
QCE Year 12 General Mathematics includes 24 practice skills across Data and statistics, Networks, matrices and modelling, Financial mathematics, and Measurement and applications.
Australian Years 7-12Exercise and test modeParent-managed access
What is a practice skill?
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 QCE Year 12 General Mathematics questions
These sample questions are visible on the page before login. They show QCE Year 12 General Mathematics data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.
QCE 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.
QCE 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.
QCE 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.
QCE 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.
QCE 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.
QCE 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 QCE Year 12 General Mathematics support
QCE 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.
Continue with Skill Align
Ready to continue? Use the normal Skill Align pages below to preview questions,
check full curriculum coverage, or compare pricing before deciding whether to sign up.
General Mathematics practice sits inside QCE Mathematics Units 3 and 4 structures across supported pathways, 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.
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 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.
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
Queensland students studying General Mathematics.
Common search wording
QCE Year 12 General Mathematics practice questionsQCE General Mathematics practice questionsGeneral Mathematics online practiceQCE Maths - General Mathematics practice questions
Questions parents ask
Can students try qce year 12 general mathematics practice questions before subscribing?
Yes. Public sample pages let visitors preview curated Skill Align questions without creating a saved student test record.
Does Skill Align replace school lessons or tutoring?
No. Skill Align is designed for structured practice after students have learned topics at school or with a teacher.
Can parents choose only one subject?
Yes. Skill Align uses subject-based access, so families can start with the year level and subject the student needs now.
Skill Align independently prepares practice pathways aligned to publicly available curriculum and syllabus information. Official requirements should always be checked with the relevant authority.
