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.

1. Test

California Smarter Balanced Math Practice Questions

A 10-question California Smarter Balanced Math practice set on numbers, operations, and proportional reasoning, 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 48 + 27?

Please select an answer first.

Correct answer: A

The correct answer is 75.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Add the ones and tens: 48 + 27 = 75.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Add the ones and tens: 48 + 27 = 75.

2. QuestionMultiple choice

A student has 63 cards and gives 18 away. How many cards remain?

Please select an answer first.

Correct answer: B

The correct answer is 45.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Subtract 18 from 63: 63 − 18 = 45.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Subtract 18 from 63: 63 − 18 = 45.

3. QuestionMultiple choice

Which fraction is equivalent to one-half?

Please select an answer first.

Correct answer: C

The correct answer is 4/8.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiplying numerator and denominator of 1/2 by 4 gives 4/8.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiplying numerator and denominator of 1/2 by 4 gives 4/8.

4. QuestionMultiple choice

A recipe uses 2 cups of flour for 8 muffins. How many cups are needed for 16 muffins at the same rate?

Please select an answer first.

Correct answer: D

The correct answer is 4 cups.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Doubling the number of muffins doubles the flour: 2 × 2 = 4 cups.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Doubling the number of muffins doubles the flour: 2 × 2 = 4 cups.

5. QuestionMultiple choice

A 90-dollar item is discounted by 30 percent. What is the discount amount?

Please select an answer first.

Correct answer: A

The correct answer is 27 dollars.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Thirty percent of 90 is 27 dollars.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Thirty percent of 90 is 27 dollars.

6. QuestionMultiple choice

Which number is greatest?

Please select an answer first.

Correct answer: B

The correct answer is 0.75.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: 0.75 is greater than 0.705, 0.7, and 0.57.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

0.75 is greater than 0.705, 0.7, and 0.57.

7. QuestionMultiple choice

A runner completes 3 laps of 400 meters each. What distance does the runner complete?

Please select an answer first.

Correct answer: C

The correct answer is 1,200 meters.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiply 3 laps by 400 meters per lap: 3 × 400 = 1,200 meters.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiply 3 laps by 400 meters per lap: 3 × 400 = 1,200 meters.

8. QuestionMultiple choice

What is the value of 3 to the power of 2?

Please select an answer first.

Correct answer: D

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: 3 to the power of 2 means 3 × 3, which equals 9.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

3 to the power of 2 means 3 × 3, which equals 9.

9. QuestionMultiple choice

A temperature changes from 4 degrees Celsius to -3 degrees Celsius. What is the change?

Please select an answer first.

Correct answer: A

The correct answer is A decrease of 7 degrees.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Moving from 4 to -3 is a change of -7, or a decrease of 7 degrees.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Moving from 4 to -3 is a change of -7, or a decrease of 7 degrees.

10. QuestionMultiple choice

A student saves 12 dollars each week. How much will the student save in 8 weeks?

Please select an answer first.

Correct answer: B

The correct answer is 96 dollars.

  1. Identify the mathematical task: Determine whether the question asks for an operation, equation, measurement, pattern, probability, or model.
  2. Use the quantities: Multiply 12 dollars per week by 8 weeks: 12 × 8 = 96 dollars.
  3. Check the result: Review the operation, units, signs, scale, and whether the answer is reasonable for the situation.

Multiply 12 dollars per week by 8 weeks: 12 × 8 = 96 dollars.

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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.