Year 11 TAS Maths - Essential Mathematics sample questions
Year 11 TAS Maths - Essential Mathematics sample questions
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Year 11 Essential Mathematics practice questions
Use this no-login public demo to preview Skill Align's Year 11 Essential Mathematics sample questions, explanations, exercise mode, and test mode before regular practice.
Sample-question focus
Try a short public sample of Year 11 Essential Mathematics questions selected from the reviewed Skill Align demo set.
Skills covered
Practice practical number, finance, measurement, rates, data, probability, and applied modelling.
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Curriculum link
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Sample TASC Year 11 Essential Mathematics questions
These sample questions are visible on the page before login. They show TASC Year 11 Essential Mathematics finance, measurement, rates, data, probability, and practical modelling explanations before opening the demo.
TASC Year 11Essential MathematicsFinancial mathematicshardpayslip 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?
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.
TASC Year 11Essential MathematicsScale and measurementhardscale 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?
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 m^2.
TASC Year 11Essential MathematicsRates and linear modelshardbreak-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?
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.
TASC Year 11Essential MathematicsData and decision makinghardweighted 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?
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.
TASC Year 11Essential MathematicsProbabilityhardprobability 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?
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.
TASC Year 11Essential MathematicsMeasurement and conversionhardmeasurement 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?
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 m^3. At 80% capacity, the volume is 1.296 m³, which is 1296 L.
For parents comparing TASC Year 11 Essential Mathematics support
TASC 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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Practice Summary
Year 11 · TAS Maths - Essential Mathematics · Test mode · 7 questions · 10 min
Questions attempted0 / 7
Correct answersPending
Score-
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Does this page include Year 11 Essential Mathematics practice questions?
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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.
