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.

4. Test

California Smarter Balanced Math Practice Questions

A 10-question California Smarter Balanced Math practice set on statistics, probability, and data, 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

What is the mean of 4, 6, 8, and 10?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The sum is 28, and 28 divided by 4 is 7.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The sum is 28, and 28 divided by 4 is 7.

2. QuestionMultiple choice

What is the median of 2, 5, 9, 12, and 14?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The values are ordered, and 9 is the middle value.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The values are ordered, and 9 is the middle value.

3. QuestionMultiple choice

A bag contains 2 red, 3 blue, and 5 green counters. What is the probability of choosing a green counter?

Please select an answer first.

Correct answer: C

The correct answer is 1/2.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: There are 5 green counters out of 10 total, so the probability is 5/10 = 1/2.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

There are 5 green counters out of 10 total, so the probability is 5/10 = 1/2.

4. QuestionMultiple choice

A scatter plot shows that study time and quiz scores generally rise together. What type of association is shown?

Please select an answer first.

Correct answer: D

The correct answer is Positive association.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: As study time increases, scores generally increase, which is a positive association.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

As study time increases, scores generally increase, which is a positive association.

5. QuestionMultiple choice

A data set is 5, 6, 6, 7, 20. Which value is an outlier?

Please select an answer first.

Correct answer: A

The correct answer is 20.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: 20 is much farther from the cluster of values near 5 to 7.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

20 is much farther from the cluster of values near 5 to 7.

6. QuestionMultiple choice

A spinner has 4 equal sections labeled A, B, C, and D. What is the probability of landing on C?

Please select an answer first.

Correct answer: B

The correct answer is 1/4.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: One of four equal sections is labeled C, so the probability is 1/4.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

One of four equal sections is labeled C, so the probability is 1/4.

7. QuestionMultiple choice

A survey of 20 students finds that 12 prefer apples. What percent of students prefer apples?

Please select an answer first.

Correct answer: C

The correct answer is 60 percent.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: 12 out of 20 is 0.6, which equals 60 percent.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

12 out of 20 is 0.6, which equals 60 percent.

8. QuestionMultiple choice

A graph has bars for Monday: 8, Tuesday: 12, and Wednesday: 10. Which day has the greatest value?

Please select an answer first.

Correct answer: D

The correct answer is Tuesday.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The Tuesday bar has value 12, which is the greatest.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The Tuesday bar has value 12, which is the greatest.

9. QuestionMultiple choice

Why is a random sample useful in a survey?

Please select an answer first.

Correct answer: A

The correct answer is It can help represent the larger population more fairly..

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Random selection can reduce selection bias and make the sample more representative.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Random selection can reduce selection bias and make the sample more representative.

10. QuestionMultiple choice

A fair coin is flipped twice. What is the probability of getting heads both times?

Please select an answer first.

Correct answer: B

The correct answer is 1/4.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The probability is one-half for each flip, so one-half × one-half = one-fourth.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The probability is one-half for each flip, so one-half × one-half = one-fourth.

Choose your next study path

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.