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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.

Select a test

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

5. Test

Hawaii Smarter Balanced Math Practice Questions

A 10-question Hawaii Smarter Balanced Mathematics practice set on integrated modeling and grade 11 review, 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

A taxi charges a fixed fee of 4 dollars plus 2 dollars per mile. Which expression gives the cost for m miles?

Please select an answer first.

Correct answer: A

The correct answer is 4 + 2m.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The fixed fee is 4 and the variable cost is 2m, so the total is 4 + 2m.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The fixed fee is 4 and the variable cost is 2m, so the total is 4 + 2m.

2. QuestionMultiple choice

A population is modeled by P(t) = 200(1.05)^t. What does 1.05 represent?

Please select an answer first.

Correct answer: B

The correct answer is A 5 percent growth factor per time period.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: A factor of 1.05 means the population is multiplied by 1.05 each period, a 5 percent increase.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

A factor of 1.05 means the population is multiplied by 1.05 each period, a 5 percent increase.

3. QuestionMultiple choice

A school compares two payment plans. Plan A costs 120 dollars plus 15 dollars per month; Plan B costs 40 dollars plus 25 dollars per month. After how many months are the costs equal?

Please select an answer first.

Correct answer: C

The correct answer is 8 months.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Set 120 + 15m = 40 + 25m. Then 80 = 10m, so m = 8.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Set 120 + 15m = 40 + 25m. Then 80 = 10m, so m = 8.

4. QuestionMultiple choice

A data model predicts a value of 72, while the observed value is 78. What is the residual?

Please select an answer first.

Correct answer: D

The correct answer is 6.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Residual is observed minus predicted: 78 − 72 = 6.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Residual is observed minus predicted: 78 − 72 = 6.

5. QuestionMultiple choice

A rectangular garden has a fixed perimeter of 40 meters. Which dimensions produce the greatest area?

Please select an answer first.

Correct answer: A

The correct answer is 10 meters by 10 meters.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: For a fixed perimeter, a square gives the greatest rectangular area: 10 × 10 = 100 square meters.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

For a fixed perimeter, a square gives the greatest rectangular area: 10 × 10 = 100 square meters.

6. QuestionMultiple choice

A student has 3 hours to study four subjects and wants equal time for each. How many minutes should be spent per subject?

Please select an answer first.

Correct answer: B

The correct answer is 45 minutes.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Three hours is 180 minutes, and 180 ÷ 4 = 45 minutes.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Three hours is 180 minutes, and 180 ÷ 4 = 45 minutes.

7. QuestionMultiple choice

A right triangle has an angle of 30 degrees and hypotenuse 12 units. What is the length of the side opposite the angle?

Please select an answer first.

Correct answer: C

The correct answer is 6 units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: In a 30-60-90 triangle, the side opposite 30 degrees is half the hypotenuse: 6 units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

In a 30-60-90 triangle, the side opposite 30 degrees is half the hypotenuse: 6 units.

8. QuestionMultiple choice

A model estimates that a reservoir loses 2.5 million liters per month. How much will it lose in 8 months?

Please select an answer first.

Correct answer: D

The correct answer is 20 million liters.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Multiply 2.5 by 8 to get 20 million liters.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Multiply 2.5 by 8 to get 20 million liters.

9. QuestionMultiple choice

A line of best fit is y = 1.8x + 12. What does the slope 1.8 represent in context?

Please select an answer first.

Correct answer: A

The correct answer is The predicted increase in y for each one-unit increase in x.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The slope gives the change in predicted y for a one-unit increase in x.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The slope gives the change in predicted y for a one-unit increase in x.

10. QuestionMultiple choice

Which statement best describes a reasonable mathematical model?

Please select an answer first.

Correct answer: B

The correct answer is It represents important relationships, uses evidence, and states assumptions and limits..

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: A model is useful when it is evidence-based and its assumptions and limits are understood.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

A model is useful when it is evidence-based and its assumptions and limits are understood.

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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.