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Year 11 SACE Maths - Essential Mathematics sample questions

Year 11 SACE Maths - Essential Mathematics practice preview

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Year 11 SACE Essential Mathematics practice questions

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

Skills covered

Practice practical number, finance, measurement, rates, data, probability, and applied modelling.

Exercise and test mode

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Curriculum link

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

View SACE Year 11-12 Mathematics curriculum coverageBrowse all sample question demos
Sample SACE Year 11 Essential Mathematics questions

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

SACE Year 11 Essential Mathematics Financial mathematics hard payslip diagram

1. A payslip shows 38 hours at $31.20 per hour and 4 overtime hours at time-and-a-half. Tax withheld is 19% of gross pay and a $12 fee is deducted. What is the net pay, to the nearest cent?

Gross pay with overtime and deductions G T N
Choices
  • $1,099.97
  • $1,111.97
  • $1,112.00
  • $1,372.80
Explanation:

Gross pay is 38 x $31.20 + 4 x $46.80 = $1372.80. Tax is 0.19 x $1372.80 = $260.83 to the nearest cent. Net pay is $1372.80 - $260.83 - $12 = $1099.97.

SACE Year 11 Essential Mathematics Scale and measurement hard scale plan

2. A site plan uses a scale of 1:150. A rectangular room measures 9.6 cm by 5.4 cm on the plan. What is the actual floor area?

Scale plan for a rectangular room 9.6 5.4 1:150
Choices
  • 116.64 m2
  • 51.84 m2
  • 11.664 m2
  • 174.96 m2
Explanation:

At a scale of 1:150, 9.6 cm represents 14.4 m and 5.4 cm represents 8.1 m. The actual area is 14.4 x 8.1 = 116.64 m2.

SACE Year 11 Essential Mathematics Rates and linear models hard break-even graph

3. Plan A costs $28 plus $0.18 per minute. Plan B costs $46 plus $0.06 per minute. At how many minutes do the two plans cost the same?

Break-even point for two phone plans A B 150
Choices
  • 150 minutes
  • 100 minutes
  • 180 minutes
  • 240 minutes
Explanation:

Set the costs equal: 28 + 0.18m = 46 + 0.06m. Then 0.12m = 18, so m = 150 minutes.

SACE Year 11 Essential Mathematics Data and decision making hard weighted score chart

4. A safety score is weighted 40% accuracy, 35% time, and 25% safety. Lee scores 78, 84, and 92 in those categories. What is Lee's weighted score?

Weighted score comparison A T 83.6
Choices
  • 83.6
  • 84.7
  • 78.0
  • 254.0
Explanation:

The weighted score is 0.40 x 78 + 0.35 x 84 + 0.25 x 92 = 31.2 + 29.4 + 23.0 = 83.6.

SACE Year 11 Essential Mathematics Probability hard probability tree

5. A repair passes the first check with probability 0.82. If it passes the first check, it passes the final check with probability 0.90. If it fails the first check, rework still gives probability 0.35 of passing the final check. What is the probability it passes the final check?

Two-stage repair probability tree C P F
Choices
  • 0.801
  • 0.738
  • 0.287
  • 0.900
Explanation:

Use both branches that end in a final pass: 0.82 x 0.90 + 0.18 x 0.35 = 0.738 + 0.063 = 0.801.

SACE Year 11 Essential Mathematics Measurement and conversion hard measurement diagram

6. A rectangular water tank is 1.8 m by 1.2 m by 0.75 m and is filled to 80% capacity. How many litres of water are in the tank?

Rectangular tank volume 1.8 1.2 0.75
Choices
  • 1296 L
  • 1620 L
  • 129.6 L
  • 972 L
Explanation:

The full volume is 1.8 x 1.2 x 0.75 = 1.62 m3. At 80% capacity, the volume is 1.296 m3, which is 1296 L.

For parents comparing SACE Year 11 Essential Mathematics support

SACE Year 11 Essential Mathematics practice should make finance, measurement, rates, data, probability, and practical modelling feel structured rather than guessable. These examples preview that style before the no-login Essential Mathematics demo.

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SACE Essential Mathematics practice questions FAQ

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

Not yet. The Year 11 SACE Essential 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.