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Year 11 VCE Maths - General Mathematics sample questions

Year 11 VCE Maths - General Mathematics practice preview

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Year 11 VCE General Mathematics practice questions

This public preview page identifies the planned Year 11 VCE General Mathematics demo route and links it to curriculum coverage while the reviewed sample question set is being completed.

Sample-question focus

The planned public sample is for Year 11 VCE General Mathematics practice and will open after the demo questions are reviewed.

Skills covered

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

Exercise and test mode

The route is public now; the exercise and test preview will become available after the curated question set is ready.

Curriculum link

Compare this demo with the VCE Year 11-12 Mathematics curriculum page to scan related topics, subtopics, and pathway coverage.

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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Year 11 VCE Maths - General Mathematics is available to purchase, and the public demo preview is still being prepared.

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VCE General Mathematics practice questions FAQ

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

Not yet. The Year 11 VCE General Mathematics demo route is public, but the interactive sample questions will open after the reviewed public set is ready.

Can students try the demo without signing up?

No sign-up is required to view the preview status. The no-login interactive demo will be available after the sample set is completed.

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.