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.

4. Test

Hawaii Smarter Balanced Math Practice Questions

A 10-question Hawaii Smarter Balanced Mathematics practice set on statistics, probability, and data, 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 data set is 3, 5, 7, 7, and 13. What is the mean?

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: The sum is 35, and 35 ÷ 5 = 7.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The sum is 35, and 35 ÷ 5 = 7.

2. QuestionMultiple choice

What is the range of 12, 18, 9, 21, and 14?

Please select an answer first.

Correct answer: B

The correct answer is 12.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Range is maximum minus minimum: 21 − 9 = 12.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Range is maximum minus minimum: 21 − 9 = 12.

3. QuestionMultiple choice

A bag contains 4 red, 3 blue, and 5 green tiles. What is the probability of selecting a blue tile?

Please select an answer first.

Correct answer: C

The correct answer is 1/4.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: There are 3 blue tiles out of 12 total, so 3/12 = 1/4.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

There are 3 blue tiles out of 12 total, so 3/12 = 1/4.

4. QuestionMultiple choice

A scatter plot shows that as study time increases, test scores generally increase. What type of association is shown?

Please select an answer first.

Correct answer: D

The correct answer is Positive association.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Both variables tend to increase together, showing a positive association.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Both variables tend to increase together, showing a positive association.

5. QuestionMultiple choice

A survey selects every tenth student from an alphabetized school list. What sampling method is this?

Please select an answer first.

Correct answer: A

The correct answer is Systematic sampling.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Selecting every tenth member follows a systematic sampling procedure.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Selecting every tenth member follows a systematic sampling procedure.

6. QuestionMultiple choice

A fair coin is tossed twice. What is the probability of getting two heads?

Please select an answer first.

Correct answer: B

The correct answer is 1/4.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The four equally likely outcomes are HH, HT, TH, and TT; one is two heads.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The four equally likely outcomes are HH, HT, TH, and TT; one is two heads.

7. QuestionMultiple choice

Which measure is least affected by one extremely large value?

Please select an answer first.

Correct answer: C

The correct answer is Median.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The median depends on the middle position and is less affected by an outlier than the mean.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The median depends on the middle position and is less affected by an outlier than the mean.

8. QuestionMultiple choice

A study reports a correlation of −0.8 between screen time and sleep duration. What does this indicate?

Please select an answer first.

Correct answer: D

The correct answer is A strong negative linear association.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: A correlation near −1 indicates a strong negative linear relationship, not necessarily causation.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

A correlation near −1 indicates a strong negative linear relationship, not necessarily causation.

9. QuestionMultiple choice

A box plot has a median of 20 and an interquartile range of 6. What does the interquartile range describe?

Please select an answer first.

Correct answer: A

The correct answer is The spread of the middle half of the data.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The interquartile range is Q3 − Q1 and describes the middle 50 percent.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The interquartile range is Q3 − Q1 and describes the middle 50 percent.

10. QuestionMultiple choice

A spinner has 8 equal sections, 3 of which are yellow. What is the probability of not landing on yellow?

Please select an answer first.

Correct answer: B

The correct answer is 5/8.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: There are 5 nonyellow sections out of 8, so the probability is 5/8.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

There are 5 nonyellow sections out of 8, so the probability is 5/8.

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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.