Year 11 HSC Maths - Mathematics Standard sample questions
Year 11 HSC Maths - Mathematics Standard sample questions
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Year 11 HSC Mathematics Standard practice questions
Use this no-login public demo to preview Skill Align's Year 11 HSC Mathematics Standard sample questions, explanations, exercise mode, and test mode before regular practice.
Sample-question focus
Try a short public sample of Year 11 HSC Mathematics Standard questions selected from the reviewed Skill Align demo set.
Skills covered
Practice practical algebra, measurement, financial mathematics, networks, statistics, probability, and everyday modelling.
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Sample HSC Year 11 Mathematics Standard questions
These sample questions are visible on the page before login. They show HSC Year 11 Mathematics Standard finance, measurement, networks, data, probability, and trigonometry explanations before opening the demo.
HSC Year 11Mathematics StandardFinancial mathematicshardgrowth graph
1. Option A invests $8000 at 6% p.a. compounded monthly for 2 years. Option B pays 6.2% p.a. simple interest for 2 years. Which return is better, to the nearest cent?
Choices
Option A by $25.28
Option B by $25.28
Option A by $992.00
The returns are equal
Explanation:
Option A grows to $8000(1.005)24 = $9017.28. Option B grows to $8000 + $8000 x 0.062 x 2 = $8992.00. Option A is higher by $25.28.
HSC Year 11Mathematics StandardScale and measurementhardscale plan
2. A floor plan uses a scale of 1:80. A study measures 7.5 cm by 4.2 cm on the plan. What is the actual area of the study?
Choices
20.16 m2
3.15 m2
31.5 m2
201.6 m2
Explanation:
At a scale of 1:80, 7.5 cm represents 6.0 m and 4.2 cm represents 3.36 m. The area is 6.0 x 3.36 = 20.16 m2.
HSC Year 11Mathematics StandardNetworkshardnetwork diagram
3. A minimum cable network uses selected edges with lengths 4 m, 5 m, 7 m, 8 m and 9 m. What total cable length is needed?
Choices
33 m
24 m
29 m
38 m
Explanation:
A minimum spanning network connects all vertices without a loop. Add the selected edge lengths: 4 + 5 + 7 + 8 + 9 = 33 m.
HSC Year 11Mathematics StandardData analysishardregression graph
4. A regression model predicts water use with y = 18 + 1.6x, where x is the number of residents. For x = 12, actual water use is 42 kL. What is the residual, using actual - predicted?
Choices
4.8
-4.8
37.2
42
Explanation:
The predicted value is 18 + 1.6 x 12 = 37.2. The residual is actual - predicted, so 42 - 37.2 = 4.8.
HSC Year 11Mathematics StandardProbabilityhardprobability tree
5. A learner passes a theory test with probability 0.72. If they pass theory, P(pass practical) = 0.85. If they do not pass theory, P(pass practical) = 0.40. What is the probability they pass the practical test?
Choices
0.724
0.612
0.288
0.850
Explanation:
Use the two branches that end in passing the practical: 0.72 x 0.85 + 0.28 x 0.40 = 0.612 + 0.112 = 0.724.
HSC Year 11Mathematics StandardTrigonometry and measurementharddiagram
6. A surveyor is 65 m horizontally from a tower. The angle of elevation to the top is 14°. What is the tower height, to the nearest 0.1 m?
Choices
16.2 m
15.7 m
63.0 m
267.8 m
Explanation:
Use tan(14°) = height / 65. The height is 65 x tan(14°) = 16.206..., which rounds to 16.2 m.
For parents comparing HSC Year 11 Mathematics Standard support
HSC Year 11 Mathematics Standard practice should make finance, measurement, networks, data, probability, and trigonometry feel structured rather than guessable. These examples preview that applied style before the no-login Mathematics Standard demo.
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Practice Summary
Year 11 · HSC Maths - Mathematics Standard · Test mode · 7 questions · 10 min
Questions attempted0 / 7
Correct answersPending
Score-
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