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Year 11 SACE Maths - General Mathematics sample questions

Year 11 SACE Maths - General Mathematics practice preview

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Year 11 SACE General Mathematics practice questions

This public preview page identifies the planned Year 11 SACE 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 SACE 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 SACE Year 11-12 Mathematics curriculum page to scan related topics, subtopics, and pathway coverage.

Sample SACE Year 11 General Mathematics questions

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

SACE 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.

SACE 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.

SACE 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.

SACE 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.

SACE 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.

SACE 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 SACE Year 11 General Mathematics support

SACE 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.

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

Students can use the purchased subject once subscribed; this anonymous preview will be opened after the curated public question set is ready.

SACE General Mathematics practice questions FAQ

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

Not yet. The Year 11 SACE 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 SACE Year 11-12 Mathematics curriculum coverage page, where parents can compare the broader topic and pathway structure used for Skill Align practice.