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Hawaii State Assessments · Grade 11 · Smarter Balanced Math

Hawaii Grade 11 Smarter Balanced Math Practice Test

Build Grade 11 Hawaii Smarter Balanced Math readiness with five focused 10-question practice sets for algebra, functions, geometry, statistics, probability, modeling, and data.

Hawaii Grade 11 Smarter Balanced Math practice sets

This Hawaii Grade 11 Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover algebra, functions, geometry, trigonometry, statistics, probability, modeling, data, and mathematical reasoning.

Grade 11 Math skills covered

  • Solving equations and inequalities, systems, quadratics, exponentials, absolute value, and algebraic expressions
  • Working with linear and nonlinear functions, slope, transformations, domain, range, rate of change, and residuals
  • Using coordinate geometry, similarity, circles, area, volume, right triangles, trigonometry, rotations, and optimization
  • Analyzing mean, median, mode, quartiles, outliers, standard deviation, scatter plots, sampling, correlation, probability, and expected value
  • Building and evaluating models, interpreting tables and graphs, checking units, explaining assumptions, and communicating mathematical reasoning

How to use this page

Complete one 10-question set at a time. Write an equation or model, label units, estimate the result, and review each explanation after answering.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice for Hawaii Grade 11 Smarter Balanced Mathematics preparation. Assessment dates, item formats, accommodations, and testing procedures can change, so check current Hawaii Department of Education guidance before test day.

Hawaii Smarter Balanced mathematics assessments include Grade 11. Review the official Hawaii Department of Education testing information for current scope and procedures.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

5. Test

Hawaii Grade 11 Smarter Balanced Math Practice Questions

A 10-question Hawaii Grade 11 Smarter Balanced Math practice set on integrated grade 11 math review, with answers and explanations.

Read each mathematical situation carefully, identify the model or relationship, show the reasoning, choose the best answer, and review the explanation.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A quantity decreases by the same percentage each year. Which model is most appropriate?

Please select an answer first.

Correct answer: A

The correct answer is An exponential decay model.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Repeated percentage decrease multiplies by the same factor, which is modeled exponentially.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Repeated percentage decrease multiplies by the same factor, which is modeled exponentially.

2. QuestionMultiple choice

A school sells adult tickets for 8 units and student tickets for 5 units. If 20 tickets are sold for 136 units, which equation represents x adult tickets?

Please select an answer first.

Correct answer: B

The correct answer is 8x + 5(20 − x) = 136.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: If x are adult tickets, then 20 − x are student tickets, so the total is 8x + 5(20 − x).
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

If x are adult tickets, then 20 − x are student tickets, so the total is 8x + 5(20 − x).

3. QuestionMultiple choice

A sample has values 12, 14, 15, 15, and 19. Which measure is the mode?

Please select an answer first.

Correct answer: C

The correct answer is 15.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The mode is the value that occurs most often, and 15 appears twice.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The mode is the value that occurs most often, and 15 appears twice.

4. QuestionMultiple choice

A 13-foot ladder is placed 5 feet from a wall. How high up the wall does the ladder reach?

Please select an answer first.

Correct answer: D

The correct answer is 12 feet.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The height is √(13² − 5²) = √144 = 12 feet.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The height is √(13² − 5²) = √144 = 12 feet.

5. QuestionMultiple choice

What are the solutions of x² − 9 = 0?

Please select an answer first.

Correct answer: A

The correct answer is x = 3 or x = -3.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Add 9 to get x² = 9, so x can be 3 or −3.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Add 9 to get x² = 9, so x can be 3 or −3.

6. QuestionMultiple choice

A table lists x values 0, 1, 2 and y values 4, 7, 10. Which rule fits the table?

Please select an answer first.

Correct answer: B

The correct answer is y = 3x + 4.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The y-values increase by 3 and the value at x = 0 is 4, so y = 3x + 4.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The y-values increase by 3 and the value at x = 0 is 4, so y = 3x + 4.

7. QuestionMultiple choice

Two data sets have the same mean, but Set A has a smaller standard deviation than Set B. What does that mean?

Please select an answer first.

Correct answer: C

The correct answer is Set A values are more closely clustered around the mean..

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: A smaller standard deviation indicates less spread around the mean.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

A smaller standard deviation indicates less spread around the mean.

8. QuestionMultiple choice

A box contains 4 red and 6 blue cards. Two cards are selected without replacement. What is the probability both are red?

Please select an answer first.

Correct answer: D

The correct answer is 2/15.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The probability is (4/10)(3/9) = 12/90 = 2/15.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The probability is (4/10)(3/9) = 12/90 = 2/15.

9. QuestionMultiple choice

Let f(x) = 2x + 1 and g(x) = x². What is f(3)?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Substitute 3 into f: f(3) = 2(3) + 1 = 7.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Substitute 3 into f: f(3) = 2(3) + 1 = 7.

10. QuestionMultiple choice

A model has a prediction error that is small for low inputs but grows for high inputs. What should the analyst investigate?

Please select an answer first.

Correct answer: B

The correct answer is Whether the model form or assumptions fit the full range of data..

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: A changing error pattern may show that the model does not fit all parts of the data equally well.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

A changing error pattern may show that the model does not fit all parts of the data equally well.

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Frequently asked questions about Hawaii Grade 11 Smarter Balanced Math Practice

Which Grade 11 Math skills are covered?

The page covers algebra, functions, quadratics, exponentials, geometry, trigonometry, statistics, probability, modeling, data, and mathematical reasoning.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official Hawaii Smarter Balanced questions?

No. These are original supplemental practice questions and do not reproduce secure assessment content. Check the Hawaii Department of Education for current standards, testing windows, accommodations, and procedures.