NumicornNumicornLearn, solve, progress

California Smarter Balanced · Math · Grades 3–8 and 11

California Smarter Balanced Math Practice Test: Grades 3–8 and 11

Build California Smarter Balanced Math readiness with five focused 10-question practice sets covering numbers, algebra, geometry, statistics, probability, data, and mathematical modeling.

California Smarter Balanced Math practice sets

This California Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review for Grades 3–8 and 11 across arithmetic, proportional reasoning, algebra, geometry, data, probability, and modeling.

Math skills covered

  • Whole numbers, fractions, decimals, percent, multiplication, exponents, integers, rates, and proportional reasoning
  • Equations, functions, slope, patterns, expressions, inequalities, rate of change, function notation, and positive slope
  • Perimeter, area, volume, reflections, angles, coordinate distance, scale drawings, and polygons
  • Mean, median, probability, scatter plots, outliers, surveys, bar graphs, random samples, and compound probability
  • Rates, percent change, quadratic and exponential models, volume, lines of fit, standard deviation, systems, and residuals

How to use this page

Complete one 10-question set at a time. Write down the quantities, show intermediate steps, check units, and review the explanation for every missed or guessed answer.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current California Department of Education guidance, official Smarter Balanced blueprints, accommodations, or testing schedules.

For the broader California assessment hub, visit California State Assessments.

Select a test

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

3. Test

California Smarter Balanced Math Practice Questions

A 10-question California Smarter Balanced Math practice set on geometry and measurement, with answers and explanations.

Read each question carefully, choose one answer, and review the explanation after responding.

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

A rectangle is 12 units long and 5 units wide. What is its perimeter?

Please select an answer first.

Correct answer: A

The correct answer is 34 units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Perimeter is 2(12 + 5) = 34 units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Perimeter is 2(12 + 5) = 34 units.

2. QuestionMultiple choice

A triangle has a base of 9 units and a height of 4 units. What is its area?

Please select an answer first.

Correct answer: B

The correct answer is 18 square units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Triangle area is one-half × 9 × 4 = 18 square units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Triangle area is one-half × 9 × 4 = 18 square units.

3. QuestionMultiple choice

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

Please select an answer first.

Correct answer: C

The correct answer is 10 units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The 6-8-10 relationship satisfies the Pythagorean theorem.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The 6-8-10 relationship satisfies the Pythagorean theorem.

4. QuestionMultiple choice

A circle has radius 5 units. Which expression represents its area?

Please select an answer first.

Correct answer: D

The correct answer is 25π square units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Circle area is πr squared, so π × 5 squared = 25π square units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Circle area is πr squared, so π × 5 squared = 25π square units.

5. QuestionMultiple choice

A rectangular prism measures 3 units by 4 units by 5 units. What is its volume?

Please select an answer first.

Correct answer: A

The correct answer is 60 cubic units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Volume is length × width × height: 3 × 4 × 5 = 60 cubic units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Volume is length × width × height: 3 × 4 × 5 = 60 cubic units.

6. QuestionMultiple choice

A point at (4, -2) is reflected over the x-axis. What are the new coordinates?

Please select an answer first.

Correct answer: B

The correct answer is (4, 2).

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Reflection over the x-axis keeps x and changes the sign of y.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Reflection over the x-axis keeps x and changes the sign of y.

7. QuestionMultiple choice

Two angles are supplementary. One angle measures 65 degrees. What is the other angle?

Please select an answer first.

Correct answer: C

The correct answer is 115 degrees.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Supplementary angles sum to 180 degrees, so 180 − 65 = 115 degrees.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Supplementary angles sum to 180 degrees, so 180 − 65 = 115 degrees.

8. QuestionMultiple choice

What is the distance between (1, 2) and (1, 9)?

Please select an answer first.

Correct answer: D

The correct answer is 7 units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The points have the same x-coordinate, so the vertical distance is 9 − 2 = 7 units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The points have the same x-coordinate, so the vertical distance is 9 − 2 = 7 units.

9. QuestionMultiple choice

A scale drawing uses 1 centimeter for every 4 meters. A wall is 20 meters long. How long is it in the drawing?

Please select an answer first.

Correct answer: A

The correct answer is 5 centimeters.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: 20 meters divided by 4 meters per centimeter gives 5 centimeters.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

20 meters divided by 4 meters per centimeter gives 5 centimeters.

10. QuestionMultiple choice

A regular hexagon has six equal sides. If each side is 7 units, what is its perimeter?

Please select an answer first.

Correct answer: B

The correct answer is 42 units.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiply six sides by 7 units: 6 × 7 = 42 units.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiply six sides by 7 units: 6 × 7 = 42 units.

Previous testNext test

Choose your next study path

Elementary School Tests

Build foundational reading, math, science, and social studies skills for Grades 1–5.

Middle School Tests

Review grade-level ELA, math, science, and social studies skills for Grades 6–8.

High School Tests

Explore course and assessment preparation for Grades 9–12.

Pomodoro Timer

Use focused study intervals to work through your next practice set.

Frequently asked questions about California Smarter Balanced Math Practice Test

Which Math skills are covered?

The page covers numbers, proportional reasoning, algebra, functions, geometry, statistics, probability, data, and modeling for Grades 3–8 and 11.

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 Smarter Balanced questions?

No. These are original supplemental practice questions. Check the latest California Department of Education information for official materials, standards, accommodations, and policies.