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.

2. Test

Hawaii Grade 11 Smarter Balanced Math Practice Questions

A 10-question Hawaii Grade 11 Smarter Balanced Math practice set on geometry and trigonometry, 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

What is the distance between (1, 2) and (4, 6)?

Please select an answer first.

Correct answer: A

The correct answer is 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: The horizontal change is 3 and the vertical change is 4, so the distance is √(3² + 4²) = 5.
  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 horizontal change is 3 and the vertical change is 4, so the distance is √(3² + 4²) = 5.

2. QuestionMultiple choice

What is the midpoint of (2, 5) and (8, 1)?

Please select an answer first.

Correct answer: B

The correct answer is (5, 3).

  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: Average the x-coordinates and y-coordinates: ((2 + 8)/2, (5 + 1)/2) = (5, 3).
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Average the x-coordinates and y-coordinates: ((2 + 8)/2, (5 + 1)/2) = (5, 3).

3. QuestionMultiple choice

What is the circumference of a circle with radius 5 units?

Please select an answer first.

Correct answer: C

The correct answer is 10π 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: Circumference is 2πr, so 2π(5) = 10π 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.

Circumference is 2πr, so 2π(5) = 10π units.

4. QuestionMultiple choice

What is the area of a triangle with base 12 units and height 7 units?

Please select an answer first.

Correct answer: D

The correct answer is 42 square 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: Triangle area is one-half base times height: (1/2)(12)(7) = 42 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.

Triangle area is one-half base times height: (1/2)(12)(7) = 42 square units.

5. QuestionMultiple choice

Two similar triangles have a scale factor of 3 from the smaller to the larger. If a smaller side is 4 units, what is the corresponding larger side?

Please select an answer first.

Correct answer: A

The correct answer is 12 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: Multiply the smaller side by the scale factor: 4 × 3 = 12 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.

Multiply the smaller side by the scale factor: 4 × 3 = 12 units.

6. QuestionMultiple choice

A right triangle has legs of 6 and 8 units. What is the length of the hypotenuse?

Please select an answer first.

Correct answer: B

The correct answer is 10 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: The Pythagorean theorem gives c² = 6² + 8² = 100, so c = 10.
  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 Pythagorean theorem gives c² = 6² + 8² = 100, so c = 10.

7. QuestionMultiple choice

In a right triangle, the opposite side has length 3 and the hypotenuse has length 5. What is sin of the angle?

Please select an answer first.

Correct answer: C

The correct answer is 3/5.

  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: Sine is opposite divided by hypotenuse, so sin θ = 3/5.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Sine is opposite divided by hypotenuse, so sin θ = 3/5.

8. QuestionMultiple choice

Two parallel lines are cut by a transversal. What is true about alternate interior angles?

Please select an answer first.

Correct answer: D

The correct answer is They have equal measures..

  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: Alternate interior angles formed by parallel lines are congruent.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Alternate interior angles formed by parallel lines are congruent.

9. QuestionMultiple choice

A point (x, y) is rotated 90 degrees counterclockwise around the origin. Which rule gives the image?

Please select an answer first.

Correct answer: A

The correct answer is (-y, x).

  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 90-degree counterclockwise rotation maps (x, y) to (−y, x).
  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 90-degree counterclockwise rotation maps (x, y) to (−y, x).

10. QuestionMultiple choice

What is the volume of a cylinder with radius 2 units and height 5 units?

Please select an answer first.

Correct answer: B

The correct answer is 20π cubic 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: Cylinder volume is πr²h = π(2²)(5) = 20π cubic 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.

Cylinder volume is πr²h = π(2²)(5) = 20π cubic units.

Choose your next study path

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.