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Year 11 VCE Maths - Foundation Mathematics sample questions

Year 11 VCE Maths - Foundation Mathematics practice preview

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Year 11 VCE Foundation Mathematics practice questions

This public preview page identifies the planned Year 11 VCE Foundation 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 Foundation Mathematics practice and will open after the demo questions are reviewed.

Skills covered

Practice number, algebra, measurement, data, finance, geometry, estimation, and applied problem solving.

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 Foundation Mathematics questions

These sample questions are visible on the page before login. They show the practical finance, measurement, data, probability, and modelling explanations used before opening the VCE Year 11 Foundation Mathematics demo.

VCE Year 11 Foundation Mathematics Financial mathematics hard payslip diagram

1. A payslip shows gross pay of $915, tax withheld at 17%, and a union fee of $9.50. Superannuation is paid separately. What is the net pay?

Gross pay, tax and fee deductions G T N
Choices
  • $749.95
  • $759.45
  • $155.55
  • $905.50
Explanation:

The tax withheld is 0.17 x 915 = $155.55. Net pay is gross pay minus tax and the union fee: $915 - $155.55 - $9.50 = $749.95.

VCE Year 11 Foundation Mathematics Space and measurement hard scale plan

2. A landscape plan uses a scale of 1:250. A rectangular deck measures 5.2 cm by 3.6 cm on the plan. What is the actual deck area?

Scale plan for an outdoor deck 5.2 3.6 1:250
Choices
  • 117 m2
  • 46.8 m2
  • 18.72 m2
  • 1170 m2
Explanation:

At a scale of 1:250, 5.2 cm represents 13 m and 3.6 cm represents 9 m. The actual area is 13 x 9 = 117 m2.

VCE Year 11 Foundation Mathematics Data and statistics hard weighted score chart

3. Two service plans are scored out of 10. Reliability is weighted 50%, cost 30%, and support 20%. Plan A scores 6, 9, 8. Plan B scores 8, 6, 7. Which comparison is correct?

Weighted comparison of service plans A B 0.10
Choices
  • Plan A by 0.10
  • Plan B by 0.10
  • Plan A by 1.00
  • The scores are equal
Explanation:

Plan A has weighted score 0.50 x 6 + 0.30 x 9 + 0.20 x 8 = 7.30. Plan B has weighted score 0.50 x 8 + 0.30 x 6 + 0.20 x 7 = 7.20, so Plan A is higher by 0.10.

VCE Year 11 Foundation Mathematics Algebra and graphs hard break-even graph

4. A printer hire package has a fixed cost of $64 plus $0.18 per page. If the budget is $100, what is the maximum number of pages that can be printed?

Linear cost model and budget limit C B 200
Choices
  • 200
  • 164
  • 180
  • 556
Explanation:

Let p be the number of pages. The cost model is 64 + 0.18p ≤ 100, so 0.18p ≤ 36 and p ≤ 200. The maximum number of pages is 200.

VCE Year 11 Foundation Mathematics Probability hard probability tree

5. On a delivery route, P(rain) = 0.35. If it rains, P(late) = 0.28. If it does not rain, P(late) = 0.08. What is the probability the delivery is late?

Two-stage delivery probability tree R L Late
Choices
  • 0.15
  • 0.36
  • 0.098
  • 0.08
Explanation:

Use the two branches that end in late: 0.35 x 0.28 + 0.65 x 0.08 = 0.098 + 0.052 = 0.15.

VCE Year 11 Foundation Mathematics Measurement and conversion hard measurement diagram

6. A planter box is modelled as a rectangular prism 60 cm by 45 cm by 30 cm. How many whole boxes can be filled from 0.486 m3 of soil?

Rectangular prism planter volume L W H
Choices
  • 6
  • 8
  • 60
  • 162
Explanation:

One box has volume 0.60 x 0.45 x 0.30 = 0.081 m3. Then 0.486 / 0.081 = 6, so six whole planter boxes can be filled.

For parents comparing VCE Year 11 Foundation Mathematics support

VCE Year 11 Foundation Mathematics practice should feel useful for real decisions: pay, scale plans, budgets, probability, data, and measurement. These examples preview that applied style before the no-login Foundation Mathematics demo.

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Year 11 VCE Maths - Foundation 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.

VCE Foundation Mathematics practice questions FAQ

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

Not yet. The Year 11 VCE Foundation 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.