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Year 11 TAS Maths - General Mathematics sample questions

Year 11 TAS 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 General Mathematics practice questions

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

Sample-question focus

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

Skills covered

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

Exercise and test mode

Use Exercise Mode for instant feedback, or Test Mode to keep answers hidden until the end of the attempt.

Curriculum link

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

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Sample TASC Year 11 General Mathematics questions

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

TASC 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.

TASC 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.

TASC 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.

TASC 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.

TASC 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.

TASC 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 TASC Year 11 General Mathematics support

TASC 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.

How it works

Answer questions in a short test-style session.

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Practice Summary
Year 11 · TAS Maths - General Mathematics · Test mode · 7 questions · 10 min
Questions attempted 0 / 7
Correct answers Pending
Score -
Attempt Mode

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General Mathematics practice questions FAQ

Does this page include Year 11 General Mathematics practice questions?

Yes. This public demo includes reviewed Year 11 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 Tasmania Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.