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VCE Year 12 Foundation Mathematics practice questions

VCE Year 12 Foundation Mathematics practice questions

Use Skill Align for VCE Year 12 Foundation Mathematics practice questions after the relevant topic has been taught. Students can start with the pathway demo, then practise by topic and mode.

18 practice skills

VCE Year 12 Foundation Mathematics includes 18 practice skills across Number and financial maths, Measurement and practical geometry, Algebra and graphs, and Data and probability.

Try public sample questions
Australian Years 7-12 Exercise and test mode Parent-managed access

What is a practice skill?

A practice skill is a focused topic or question type designed to help students practise one curriculum-aligned concept with instant feedback and explanations. Skill Align uses practice skills to organise questions by year level, subject, strand, and curriculum focus.

Sample VCE Foundation Mathematics questions

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

VCE Year 12 Foundation Mathematics Financial mathematics hard payslip diagram

1. A payslip shows gross pay of $1240 and tax withheld at 18%. Superannuation is paid separately and is not part of take-home pay. What is the net pay?

Gross pay, tax and net pay G T N
Choices
  • $1016.80
  • $1240.00
  • $1116.20
  • $142.60
Explanation:

The tax withheld is 0.18 x 1240 = $223.20. Net pay is gross pay minus tax, so $1240 - $223.20 = $1016.80.

VCE Year 12 Foundation Mathematics Space and measurement hard scale plan

2. A floor plan uses a scale of 1:200. A rectangular room measures 4.8 cm by 3.5 cm on the plan. What is the actual floor area?

Scale plan for a rectangular room 4.8 3.5 1:200
Choices
  • 67.2 m2
  • 16.8 m2
  • 33.6 m2
  • 672 m2
Explanation:

At a scale of 1:200, 4.8 cm represents 9.6 m and 3.5 cm represents 7.0 m. The actual floor area is 9.6 x 7.0 = 67.2 m2.

VCE Year 12 Foundation Mathematics Data and statistics hard weighted score chart

3. Two phone plans are scored out of 10. Cost is weighted 40%, data 35%, and coverage 25%. Plan A scores 8, 6, 9. Plan B scores 7, 8, 7. Which comparison is correct?

Weighted scores for two plans A B 0.20
Choices
  • Plan A by 0.20
  • Plan B by 0.20
  • Plan A by 2.00
  • The scores are equal
Explanation:

Plan A has weighted score 0.40 x 8 + 0.35 x 6 + 0.25 x 9 = 7.55. Plan B has weighted score 0.40 x 7 + 0.35 x 8 + 0.25 x 7 = 7.35, so Plan A is higher by 0.20.

VCE Year 12 Foundation Mathematics Algebra and graphs hard break-even graph

4. A stall has fixed costs of $450 and costs $18 per item. Each item sells for $33. How many items must be sold to break even?

Break-even point for revenue and cost R C 30
Choices
  • 30
  • 15
  • 25
  • 45
Explanation:

Revenue is 33n and cost is 450 + 18n. Break-even occurs when 33n = 450 + 18n, so 15n = 450 and n = 30.

VCE Year 12 Foundation Mathematics Probability hard probability tree

5. A product passes a visual check with probability 0.92. If it passes the visual check, it passes the calculation check with probability 0.95. What is the probability it passes both checks?

Two-stage probability tree V C Both
Choices
  • 0.874
  • 0.950
  • 0.920
  • 0.030
Explanation:

This is a two-stage conditional probability. The probability of passing both checks is 0.92 x 0.95 = 0.874.

VCE Year 12 Foundation Mathematics Measurement and conversion hard measurement diagram

6. A sandbag is modelled as a rectangular prism 40 cm by 25 cm by 12 cm. How many whole sandbags can be filled from 0.72 m3 of sand?

Rectangular prism volume L W H
Choices
  • 60
  • 6
  • 72
  • 600
Explanation:

The sandbag dimensions are 0.40 m, 0.25 m and 0.12 m, so one bag has volume 0.40 x 0.25 x 0.12 = 0.012 m3. Then 0.72 / 0.012 = 60 whole sandbags.

For parents comparing VCE Foundation Mathematics support

VCE Foundation Mathematics practice should feel useful for real decisions: money, measurement, data, routes, and practical modelling. These examples preview that applied style before the no-login Foundation Mathematics demo.

Continue with Skill Align

Ready to continue? Use the normal Skill Align pages below to preview questions, check full curriculum coverage, or compare pricing before deciding whether to sign up.

Open School Learning Browse Curriculum Coverage View Pricing
What this practice page covers

Foundation Mathematics practice sits inside VCE Mathematics Units 3 and 4 practice pathways, with Units 1 and 2 context available through the full curriculum coverage, with Skill Align keeping the route focused on the selected maths pathway.

Senior practice is organised by pathway, unit, topic, and mode so students can revise targeted areas rather than sitting a full-paper workflow every time.

Start with the public sample questions to check the question style, then use the curriculum coverage page to choose a topic that matches the student's current classwork.

Preview question styles
  • Number and financial maths: Students practise number and financial maths through short targeted questions, explanations, and mode-specific feedback.
  • Measurement and practical geometry: Students practise measurement and practical geometry through short targeted questions, explanations, and mode-specific feedback.
  • Algebra and graphs: Students practise algebra and graphs through short targeted questions, explanations, and mode-specific feedback.
Suggested first practice steps
  • Preview the public sample questions before creating a saved student session.
  • Choose one focus area that has already been introduced at school.
  • Use exercise mode for immediate explanations, then test mode when the student is ready for delayed feedback.
Example focus areas
View full curriculum coverage

These examples are not the full topic list. Use the curriculum coverage page for the complete mapped pathway.

  • Number and financial maths
  • Measurement and practical geometry
  • Algebra and graphs
  • Data and probability
Who it is for

Victorian students studying Foundation Mathematics.

Common search wording
VCE Year 12 Foundation Mathematics practice questionsVCE Foundation Mathematics practice questionsFoundation Mathematics online practiceVCE Maths - Foundation Mathematics practice questions
Questions parents ask
Can students try vce year 12 foundation mathematics practice questions before subscribing?

Yes. Public sample pages let visitors preview curated Skill Align questions without creating a saved student test record.

Does Skill Align replace school lessons or tutoring?

No. Skill Align is designed for structured practice after students have learned topics at school or with a teacher.

Can parents choose only one subject?

Yes. Skill Align uses subject-based access, so families can start with the year level and subject the student needs now.

Skill Align independently prepares practice pathways aligned to publicly available curriculum and syllabus information. Official requirements should always be checked with the relevant authority.