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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.

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

5. Test

California Smarter Balanced Math Practice Questions

A 10-question California Smarter Balanced Math practice set on modeling and grade 11 applications, 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 car travels 180 miles in 3 hours at a constant rate. What is its speed?

Please select an answer first.

Correct answer: A

The correct answer is 60 miles per hour.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Speed is distance divided by time: 180 ÷ 3 = 60 miles per hour.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Speed is distance divided by time: 180 ÷ 3 = 60 miles per hour.

2. QuestionMultiple choice

An investment increases from 500 dollars to 550 dollars. What is the percent increase?

Please select an answer first.

Correct answer: B

The correct answer is 10 percent.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The increase is 50 dollars, and 50 divided by 500 is 0.10, or 10 percent.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The increase is 50 dollars, and 50 divided by 500 is 0.10, or 10 percent.

3. QuestionMultiple choice

Which expression represents the area of a rectangle with length x + 3 and width x?

Please select an answer first.

Correct answer: C

The correct answer is x squared + 3x.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiply x by x + 3 to get x squared + 3x.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiply x by x + 3 to get x squared + 3x.

4. QuestionMultiple choice

A quadratic model has a maximum value at x = 4. What does x = 4 represent?

Please select an answer first.

Correct answer: D

The correct answer is The input where the modeled output is greatest..

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The maximum occurs at the input value where the output reaches its greatest modeled value.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The maximum occurs at the input value where the output reaches its greatest modeled value.

5. QuestionMultiple choice

A population follows the model P(t) = 200(1.05)^t. What does 1.05 represent?

Please select an answer first.

Correct answer: A

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

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiplying by 1.05 means the population is multiplied by 105 percent each period, a 5 percent increase.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiplying by 1.05 means the population is multiplied by 105 percent each period, a 5 percent increase.

6. QuestionMultiple choice

A box has a volume of 120 cubic units, length 5 units, and width 4 units. What is its height?

Please select an answer first.

Correct answer: B

The correct answer is 6 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 equals length × width × height, so 120 = 5 × 4 × height and height = 6.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Volume equals length × width × height, so 120 = 5 × 4 × height and height = 6.

7. QuestionMultiple choice

A line of best fit has a positive slope. What does that suggest about the two variables?

Please select an answer first.

Correct answer: C

The correct answer is Larger values of one variable tend to be associated with larger values of the other..

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: A positive slope in a fitted line indicates a positive association, not necessarily causation.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

A positive slope in a fitted line indicates a positive association, not necessarily causation.

8. QuestionMultiple choice

A sample has a mean of 18 and a standard deviation of 2. Which value is farther from the mean?

Please select an answer first.

Correct answer: D

The correct answer is 23.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: 23 is 5 units from 18, farther than the other listed values.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

23 is 5 units from 18, farther than the other listed values.

9. QuestionMultiple choice

A system has x + y = 10 and x − y = 2. What is x?

Please select an answer first.

Correct answer: A

The correct answer is 6.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Adding the equations gives 2x = 12, so x = 6.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Adding the equations gives 2x = 12, so x = 6.

10. QuestionMultiple choice

A student’s model predicts 48 visitors, but 52 visitors are observed. What is the residual if residual equals observed minus predicted?

Please select an answer first.

Correct answer: B

The correct answer is 4.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Observed minus predicted is 52 − 48 = 4.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Observed minus predicted is 52 − 48 = 4.

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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.