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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

4. Test

Hawaii Grade 11 Smarter Balanced Math Practice Questions

A 10-question Hawaii Grade 11 Smarter Balanced Math practice set on modeling, data, and change, 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

The slope of a graph represents 60 miles per hour. What does the slope measure?

Please select an answer first.

Correct answer: A

The correct answer is The rate of change of distance with respect to time.

  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 slope of 60 miles per hour describes how distance changes for each hour.
  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 slope of 60 miles per hour describes how distance changes for each hour.

2. QuestionMultiple choice

A model predicts 15 units and the actual value is 18 units. What is the residual defined as actual minus predicted?

Please select an answer first.

Correct answer: B

The correct answer is 3 units.

  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: Residual = actual − predicted = 18 − 15 = 3 units.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Residual = actual − predicted = 18 − 15 = 3 units.

3. QuestionMultiple choice

What is the main purpose of a line of best fit on a scatter plot?

Please select an answer first.

Correct answer: C

The correct answer is To model the overall trend and make reasonable estimates..

  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 line of best fit summarizes the trend and can support estimates without matching every point.
  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 line of best fit summarizes the trend and can support estimates without matching every point.

4. QuestionMultiple choice

A projectile model is h(t) = -5t² + 20t + 2. What does the negative coefficient of t² suggest about the graph?

Please select an answer first.

Correct answer: D

The correct answer is The graph opens downward..

  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 negative leading coefficient makes the parabola open downward, creating a maximum height.
  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 negative leading coefficient makes the parabola open downward, creating a maximum height.

5. QuestionMultiple choice

A population of 1,000 grows by 5 percent in one year. What is the new population in the model?

Please select an answer first.

Correct answer: A

The correct answer is 1,050.

  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 5 percent increase is 1,000(1.05) = 1,050.
  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 5 percent increase is 1,000(1.05) = 1,050.

6. QuestionMultiple choice

Solve 4x + 12 = 60.

Please select an answer first.

Correct answer: B

The correct answer is 12.

  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: Subtract 12 to get 4x = 48, then divide by 4 to get x = 12.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Subtract 12 to get 4x = 48, then divide by 4 to get x = 12.

7. QuestionMultiple choice

Solve the inequality 2x − 3 < 9.

Please select an answer first.

Correct answer: C

The correct answer is x < 6.

  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 3 to get 2x < 12, then divide by 2 to get x < 6.
  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 3 to get 2x < 12, then divide by 2 to get x < 6.

8. QuestionMultiple choice

What is the domain of f(x) = √(x − 2) over the real numbers?

Please select an answer first.

Correct answer: D

The correct answer is x ≥ 2.

  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 expression under the square root must be nonnegative: x − 2 ≥ 0, so x ≥ 2.
  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 expression under the square root must be nonnegative: x − 2 ≥ 0, so x ≥ 2.

9. QuestionMultiple choice

If y = f(x) + 3 is formed from y = f(x), how is the graph changed?

Please select an answer first.

Correct answer: A

The correct answer is It shifts up 3 units..

  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: Adding 3 outside the function raises every output by 3 units.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Adding 3 outside the function raises every output by 3 units.

10. QuestionMultiple choice

A rectangle has perimeter 20 units. Which dimensions give the greatest area?

Please select an answer first.

Correct answer: B

The correct answer is 5 units by 5 units.

  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: For a fixed perimeter, the square gives the greatest area: 5 × 5 = 25 square units.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

For a fixed perimeter, the square gives the greatest area: 5 × 5 = 25 square units.

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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.