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Year 11 VCE Maths - General Mathematics sample questions

Year 11 VCE Maths - General Mathematics sample questions

Answer a short curated learning and practice set, then see your score, correct answers, and explanations.

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Year 11 VCE General Mathematics practice questions

Use this no-login public demo to preview Skill Align's Year 11 VCE General Mathematics sample questions, explanations, exercise mode, and test mode before regular practice.

Sample-question focus

Try a short public sample of Year 11 VCE General Mathematics questions selected from the reviewed Skill Align demo set.

Skills covered

Practice data, finance, matrices, networks, measurement, recurrence, statistics, probability, and modelling.

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Sample VCE Year 11 General Mathematics questions

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

VCE Year 11 General Mathematics Data analysis hard regression graph

1. A regression model predicts monthly sales with y = 12 + 0.8x, where x is advertising spend in hundreds of dollars. For x = 35, actual sales are 44. What is the residual, using actual - predicted?

Residual from a fitted sales model P L r
Choices
  • 4
  • -4
  • 40
  • 44
Explanation:

The predicted value is 12 + 0.8 x 35 = 40. The residual is actual - predicted, so 44 - 40 = 4.

VCE Year 11 General Mathematics Financial arithmetic hard finance graph

2. An investment of 5000 earns 4% p.a. interest compounded annually for 3 years. What is the balance, to the nearest cent?

Compound interest growth over three years B₃ n $
Choices
  • 5,624.32
  • 5,600.00
  • 5,200.00
  • 5,624.86
Explanation:

Use A = 5000(1.04)^3. Since 1.04³ = 1.124864, the balance is 5000 x 1.124864 = 5,624.32.

VCE Year 11 General Mathematics Matrices hard transition diagram

3. A row state vector [online, in-store] is multiplied by transition matrix [0.75, 0.25; 0.40, 0.60]. Starting from [520, 180], how many customers are expected to be online next month?

Two-state customer transition model O S T
Choices
  • 462
  • 492
  • 520
  • 700
Explanation:

The next online total uses the online column of the transition matrix: 520 x 0.75 + 180 x 0.40 = 390 + 72 = 462.

VCE Year 11 General Mathematics Networks hard network diagram

4. In the network, the shortest route from A to F uses A-C-D-F. If the edge weights on that route are 7, 3 and 5, what is the shortest distance?

Shortest route through a weighted network A F 15
Choices
  • 15
  • 16
  • 18
  • 20
Explanation:

Add the weights on the stated shortest route: 7 + 3 + 5 = 15. The competing routes are longer, so the shortest distance is 15.

VCE Year 11 General Mathematics Decision mathematics hard critical path diagram

5. A project network has two branches before final task E: A then C takes 5 + 4 days, and B then D takes 3 + 8 days. Task E takes 2 days after both branches finish. What is the minimum completion time?

Project network with a longer critical branch S E 13
Choices
  • 13 days
  • 11 days
  • 20 days
  • 22 days
Explanation:

The two branch times are 9 days and 11 days. The final task starts after the longer branch finishes, so the project takes 11 + 2 = 13 days.

VCE Year 11 General Mathematics Trigonometry and measurement hard diagram

6. A drone is 42 m horizontally from an observer. The angle of elevation to the drone is 31°. What is the drone's height, to the nearest 0.1 m?

Angle of elevation to a drone 42 m h 31°
Choices
  • 25.2 m
  • 35.9 m
  • 49.0 m
  • 22.5 m
Explanation:

Use tan(31°) = height / 42. The height is 42 x tan(31°) = 25.235..., which rounds to 25.2 m.

For parents comparing VCE Year 11 General Mathematics support

VCE Year 11 General Mathematics practice should make data, finance, matrices, networks, and measurement feel structured rather than guessable. These examples preview that applied reasoning before the no-login General Mathematics demo.

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Practice Summary
Year 11 · VCE Maths - General Mathematics · Test mode · 5 questions · 10 min
Questions attempted 0 / 5
Correct answers Pending
Score -
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VCE General Mathematics practice questions FAQ

Does this page include Year 11 VCE General Mathematics practice questions?

Yes. This public demo includes reviewed Year 11 VCE General Mathematics sample questions so families can preview the Skill Align practice style before regular use.

Can students try the demo without signing up?

Yes. The public demo can be opened without signing up, and the attempt stays in the page instead of being saved to a student record.

How does this demo relate to curriculum coverage?

This demo is linked with the VCE Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.