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

2. Test

California Smarter Balanced Math Practice Questions

A 10-question California Smarter Balanced Math practice set on algebraic reasoning and functions, 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

Solve 3x + 5 = 20.

Please select an answer first.

Correct answer: A

The correct answer is x = 5.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Subtract 5 to get 3x = 15, then divide by 3 to get x = 5.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Subtract 5 to get 3x = 15, then divide by 3 to get x = 5.

2. QuestionMultiple choice

If y = 2x + 1 and x = 4, what is y?

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: Substitute 4: y = 2(4) + 1 = 9.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Substitute 4: y = 2(4) + 1 = 9.

3. QuestionMultiple choice

Which equation represents a line with slope 3 and y-intercept 2?

Please select an answer first.

Correct answer: C

The correct answer is y = 3x + 2.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Slope-intercept form is y = mx + b, so m = 3 and b = 2.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Slope-intercept form is y = mx + b, so m = 3 and b = 2.

4. QuestionMultiple choice

A pattern begins 7, 11, 15, 19. What is the next number?

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: The pattern increases by 4 each time, so 19 + 4 = 23.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The pattern increases by 4 each time, so 19 + 4 = 23.

5. QuestionMultiple choice

A phone plan charges 25 dollars plus 8 dollars for each gigabyte of data. Which expression gives the cost for g gigabytes?

Please select an answer first.

Correct answer: A

The correct answer is 25 + 8g.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: The fixed charge is 25 and the variable charge is 8 for each of g gigabytes.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

The fixed charge is 25 and the variable charge is 8 for each of g gigabytes.

6. QuestionMultiple choice

What is the solution to x divided by 4 = 6?

Please select an answer first.

Correct answer: B

The correct answer is x = 24.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiply both sides by 4: x = 24.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiply both sides by 4: x = 24.

7. QuestionMultiple choice

Which value makes 2n + 4 greater than 12?

Please select an answer first.

Correct answer: C

The correct answer is n = 5.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: For n = 5, 2(5) + 4 = 14, which is greater than 12.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

For n = 5, 2(5) + 4 = 14, which is greater than 12.

8. QuestionMultiple choice

A table shows x values 1, 2, 3 and y values 5, 8, 11. What is the rate of change?

Please select an answer first.

Correct answer: D

The correct answer is 3.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Each increase of 1 in x corresponds to an increase of 3 in y.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Each increase of 1 in x corresponds to an increase of 3 in y.

9. QuestionMultiple choice

If f(x) = x squared + 2, what is f(3)?

Please select an answer first.

Correct answer: A

The correct answer is 11.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Substitute 3: 3 squared + 2 = 9 + 2 = 11.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Substitute 3: 3 squared + 2 = 9 + 2 = 11.

10. QuestionMultiple choice

A line has a positive slope. What happens as x increases?

Please select an answer first.

Correct answer: B

The correct answer is The y-values increase..

  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 means that y increases as x increases.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

A positive slope means that y increases as x increases.

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.