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QCE Year 11 General Mathematics practice questions

QCE Year 11 General Mathematics practice questions

Use Skill Align for QCE Year 11 General 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.

19 practice skills

QCE Year 11 General Mathematics includes 19 practice skills across Data and statistics, Networks, matrices and modelling, Financial mathematics, and Measurement and applications.

Australian Years 7-12 Exercise and test mode Parent-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 11 General Mathematics questions

These sample questions are visible on the page before login. They show QCE Year 11 General Mathematics data, finance, matrices, networks, trigonometry, and decision-mathematics explanations before opening the demo.

QCE Year 11 General Mathematics 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?

Residual from a fuel-use model P L r
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.

QCE Year 11 General Mathematics 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?

Two-state membership transition A P T
Choices
  • 638
  • 712
  • 650
  • 1000
Explanation:

Use the active column: 650 x 0.82 + 350 x 0.30 = 533 + 105 = 638.

QCE Year 11 General Mathematics 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?

Shortest path through a weighted network A F 17
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.

QCE Year 11 General Mathematics 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?

Angle of elevation to a tower 48 m h 21°
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.

QCE Year 11 General Mathematics 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?

Compound interest over six quarters B₆ n n $
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.

QCE Year 11 General Mathematics 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?

Break-even venue cost A B 60
Choices
  • 60
  • 40
  • 80
  • 150
Explanation:

Set the costs equal: 180 + 12p = 420 + 8p. Then 4p = 240, so p = 60 people.

For parents comparing QCE Year 11 General Mathematics support

QCE Year 11 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.

What this practice and exercise page covers

General Mathematics practice sits inside QCE Mathematics Units 1 and 2 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. 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.

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.

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Questions parents ask
Can students try qce year 11 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.

Are practice questions and exercise questions the same on Skill Align?

Yes. Families may search for either wording; Skill Align uses one curriculum-aligned practice page for both practice questions and exercise questions.

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.