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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

3. Test

Hawaii Smarter Balanced Math Practice Questions

A 10-question Hawaii Smarter Balanced Mathematics practice set on geometry, measurement, and coordinates, 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 perimeter of a rectangle with length 14 units and width 5 units?

Please select an answer first.

Correct answer: A

The correct answer is 38 units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Perimeter is 2(14 + 5) = 38 units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Perimeter is 2(14 + 5) = 38 units.

2. QuestionMultiple choice

A triangle has base 10 units and height 7 units. What is its area?

Please select an answer first.

Correct answer: B

The correct answer is 35 square units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Triangle area is one-half times base times height: 1/2 × 10 × 7 = 35.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Triangle area is one-half times base times height: 1/2 × 10 × 7 = 35.

3. QuestionMultiple choice

What is the distance between (2, 3) and (2, −4)?

Please select an answer first.

Correct answer: C

The correct answer is 7 units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: The points have the same x-coordinate, so the vertical distance is |3 − (−4)| = 7.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

The points have the same x-coordinate, so the vertical distance is |3 − (−4)| = 7.

4. QuestionMultiple choice

A cylinder has radius 3 units and height 5 units. Which expression represents its volume?

Please select an answer first.

Correct answer: D

The correct answer is 45π cubic units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Volume is πr²h = π(3²)(5) = 45π cubic units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Volume is πr²h = π(3²)(5) = 45π cubic units.

5. QuestionMultiple choice

A scale drawing uses 1 centimeter for 4 meters. A wall is 6 centimeters on the drawing. What is the actual length?

Please select an answer first.

Correct answer: A

The correct answer is 24 meters.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Multiply 6 by 4 meters per centimeter to get 24 meters.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Multiply 6 by 4 meters per centimeter to get 24 meters.

6. QuestionMultiple choice

A square has diagonal length 10√2 units. What is the side length?

Please select an answer first.

Correct answer: B

The correct answer is 10 units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: For a square, diagonal = side√2, so the side is 10 units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

For a square, diagonal = side√2, so the side is 10 units.

7. QuestionMultiple choice

What is the slope of a line perpendicular to a line with slope 1/3?

Please select an answer first.

Correct answer: C

The correct answer is −3.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Perpendicular nonzero slopes are negative reciprocals, so the slope is −3.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Perpendicular nonzero slopes are negative reciprocals, so the slope is −3.

8. QuestionMultiple choice

A circle has diameter 18 units. What is its circumference?

Please select an answer first.

Correct answer: D

The correct answer is 18π units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Circumference is π times diameter, so it is 18π units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Circumference is π times diameter, so it is 18π units.

9. QuestionMultiple choice

A right rectangular prism has dimensions 2, 6, and 9 units. What is its surface area?

Please select an answer first.

Correct answer: A

The correct answer is 168 square units.

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Surface area is 2(2×6 + 2×9 + 6×9) = 2(12 + 18 + 54) = 168 square units.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Surface area is 2(2×6 + 2×9 + 6×9) = 2(12 + 18 + 54) = 168 square units.

10. QuestionMultiple choice

A point (−3, 4) is reflected across the x-axis. What are the new coordinates?

Please select an answer first.

Correct answer: B

The correct answer is (−3, −4).

  1. Identify the mathematical relationship: Determine whether the question uses number operations, algebra, geometry, statistics, probability, or modeling.
  2. Show the calculation: Reflection across the x-axis changes the sign of the y-coordinate.
  3. Check units and reasonableness: Confirm that the answer has the correct units and fits the Hawaii Smarter Balanced Mathematics task.

Reflection across the x-axis changes the sign of the y-coordinate.

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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.