Hawaii State Assessments · Smarter Balanced · Mathematics

Hawaii Smarter Balanced Math Practice Test

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

Hawaii Smarter Balanced Math practice sets

This Hawaii Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover number operations, ratios, proportional reasoning, algebra, equations, functions, geometry, measurement, statistics, probability, and mathematical modeling.

Math skills covered

  • Working with rational numbers, fractions, decimals, percentages, unit rates, scales, and proportional relationships
  • Solving equations and inequalities, interpreting functions, analyzing sequences, and writing algebraic models
  • Applying perimeter, area, volume, surface area, coordinates, transformations, slope, circles, and right-triangle relationships
  • Interpreting mean, median, range, interquartile range, scatter plots, sampling, correlation, and probability
  • Using systems, exponential models, residuals, optimization, rates, line-of-best-fit equations, and model assumptions

How to use this page

Complete one 10-question set at a time. Write the equation before calculating, track units through each step, estimate to check reasonableness, and review the explanation after every answer.

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

Hawaii Smarter Balanced mathematics assessments are administered in Grades 3–8 and 11. Review the official Hawaii Department of Education testing information for current scope and procedures.

2. Test

Hawaii Smarter Balanced Math Practice Questions

A 10-question Hawaii Smarter Balanced Mathematics practice set on algebra, equations, and functions, with answers and explanations.

Read each mathematical situation carefully, show the relationship or calculation, choose the best answer, and review the explanation after responding.

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

What is the solution to x + 9 = 16?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Subtract 9 from both sides: x = 16 − 9 = 7.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Subtract 9 from both sides: x = 16 − 9 = 7.

2. QuestionMultiple choice

Which expression is equivalent to 4(2x − 3)?

Please select an answer first.

Correct answer: B

The correct answer is 8x − 12.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Use the distributive property: 4 × 2x − 4 × 3 = 8x − 12.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Use the distributive property: 4 × 2x − 4 × 3 = 8x − 12.

3. QuestionMultiple choice

A line has slope 3 and y-intercept −2. Which equation represents the line?

Please select an answer first.

Correct answer: C

The correct answer is y = 3x − 2.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Slope-intercept form is y = mx + b, so m = 3 and b = −2.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Slope-intercept form is y = mx + b, so m = 3 and b = −2.

4. QuestionMultiple choice

What is the solution to 5x − 4 = 21?

Please select an answer first.

Correct answer: D

The correct answer is 5.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Add 4 to get 5x = 25, then divide by 5 to get x = 5.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Add 4 to get 5x = 25, then divide by 5 to get x = 5.

5. QuestionMultiple choice

A sequence begins 7, 11, 15, 19. What is the common difference?

Please select an answer first.

Correct answer: A

The correct answer is 4.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Each term increases by 4.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Each term increases by 4.

6. QuestionMultiple choice

If f(x) = x² + 2, what is f(3)?

Please select an answer first.

Correct answer: B

The correct answer is 11.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Substitute 3: 3² + 2 = 9 + 2 = 11.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Substitute 3: 3² + 2 = 9 + 2 = 11.

7. QuestionMultiple choice

Which inequality represents values at least 12?

Please select an answer first.

Correct answer: C

The correct answer is x ≥ 12.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: At least includes 12 and all greater values, represented by ≥.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

At least includes 12 and all greater values, represented by ≥.

8. QuestionMultiple choice

Two consecutive integers have a sum of 31. What are the integers?

Please select an answer first.

Correct answer: D

The correct answer is 15 and 16.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Let the integers be n and n + 1: 2n + 1 = 31, so n = 15.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Let the integers be n and n + 1: 2n + 1 = 31, so n = 15.

9. QuestionMultiple choice

A function table has inputs 1, 2, 3 and outputs 5, 8, 11. Which rule fits the table?

Please select an answer first.

Correct answer: A

The correct answer is y = 3x + 2.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The output increases by 3 and at x = 1 gives 5, so y = 3x + 2.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The output increases by 3 and at x = 1 gives 5, so y = 3x + 2.

10. QuestionMultiple choice

What are the solutions to x² = 49?

Please select an answer first.

Correct answer: B

The correct answer is x = 7 or x = −7.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Both 7² and (−7)² equal 49.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Both 7² and (−7)² equal 49.

Choose your next study path

Frequently asked questions about Hawaii Smarter Balanced Math Practice

Which Math skills are covered?

The page covers number sense, ratios, proportional reasoning, algebra, equations, functions, geometry, measurement, statistics, probability, financial reasoning, and modeling.

Which grades are associated with Hawaii Smarter Balanced Mathematics?

Hawaii Department of Education information identifies Smarter Balanced mathematics assessments for Grades 3–8 and 11. Check official guidance for current administration details.

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 blueprints, testing windows, standards, accommodations, and procedures.