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California CAASPP · Grade 8 · Math

California Grade 8 CAASPP Math Practice Test

Build Grade 8 California CAASPP Math readiness with five focused 10-question practice sets covering number systems, algebra, functions, geometry, statistics, probability, and modeling.

Grade 8 CAASPP Math practice sets

This California Grade 8 CAASPP Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across proportional relationships, rational and irrational numbers, expressions, equations, functions, geometry, statistics, probability, and mathematical modeling.

Math skills covered

  • Proportional relationships, unit rates, irrational numbers, square-root estimates, exponents, scientific notation, rational numbers, and percent change
  • Equivalent expressions, linear equations, equations with different solution sets, functions, slope, inequalities, linear models, and systems
  • Transformations, angle relationships, Pythagorean theorem, circles, volume, surface area, and coordinate geometry
  • Samples, populations, measures of center, variability, probability, compound events, scatter plots, and two-way data
  • Multi-step equations, percent models, scale models, area and volume models, and reasonableness checks

How to use this page

Complete one 10-question set at a time. Show intermediate steps, check signs and 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 CAASPP 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

1. Test

California Grade 8 CAASPP Math Practice Questions

A 10-question California Grade 8 CAASPP Math practice set on proportional relationships and number systems, 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

Which equation represents a proportional relationship with a constant of proportionality of 3/4?

Please select an answer first.

Correct answer: A

The correct answer is y = 3/4x.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: A proportional relationship has the form y = kx, so k = 3/4 gives y = 3/4x.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

A proportional relationship has the form y = kx, so k = 3/4 gives y = 3/4x.

2. QuestionMultiple choice

A cyclist travels 42 miles in 3.5 hours. What is the unit rate?

Please select an answer first.

Correct answer: B

The correct answer is 12 miles per hour.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: Divide distance by time: 42 ÷ 3.5 = 12 miles per hour.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Divide distance by time: 42 ÷ 3.5 = 12 miles per hour.

3. QuestionMultiple choice

Which number is irrational?

Please select an answer first.

Correct answer: C

The correct answer is The square root of 7.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: The square root of 7 cannot be written as a ratio of integers, while the other values are rational.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The square root of 7 cannot be written as a ratio of integers, while the other values are rational.

4. QuestionMultiple choice

Between which two consecutive integers does the square root of 50 lie?

Please select an answer first.

Correct answer: D

The correct answer is 7 and 8.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: 49 is less than 50 and 64 is greater than 50, so the square root of 50 lies between 7 and 8.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

49 is less than 50 and 64 is greater than 50, so the square root of 50 lies between 7 and 8.

5. QuestionMultiple choice

What is 2 to the power of 5 multiplied by 2 to the power of 3?

Please select an answer first.

Correct answer: A

The correct answer is 2 to the power of 8.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: When multiplying powers with the same base, add the exponents: 5 + 3 = 8.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

When multiplying powers with the same base, add the exponents: 5 + 3 = 8.

6. QuestionMultiple choice

Write 0.00042 in scientific notation.

Please select an answer first.

Correct answer: B

The correct answer is 4.2 × 10 to the power of -4.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: Move the decimal four places right to get 4.2, so the exponent is -4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Move the decimal four places right to get 4.2, so the exponent is -4.

7. QuestionMultiple choice

What is the product of -2/3 and 9/4?

Please select an answer first.

Correct answer: C

The correct answer is -3/2.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: Multiply and simplify: (-2 × 9) ÷ (3 × 4) = -18/12 = -3/2.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Multiply and simplify: (-2 × 9) ÷ (3 × 4) = -18/12 = -3/2.

8. QuestionMultiple choice

A price of 72 dollars is increased by 12.5 percent. What is the new price?

Please select an answer first.

Correct answer: D

The correct answer is 81 dollars.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: Twelve and one-half percent of 72 is 9, so the new price is 72 + 9 = 81 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Twelve and one-half percent of 72 is 9, so the new price is 72 + 9 = 81 dollars.

9. QuestionMultiple choice

Which value is closest to the square root of 30?

Please select an answer first.

Correct answer: A

The correct answer is 5.5.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: The square root of 30 is about 5.48, which is closest to 5.5.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The square root of 30 is about 5.48, which is closest to 5.5.

10. QuestionMultiple choice

A proportional graph contains the point (8, 14). What is the y-value when x = 20?

Please select an answer first.

Correct answer: B

The correct answer is 35.

  1. Identify the task: Decide whether the question asks about number systems, expressions, equations, functions, geometry, data, probability, or modeling.
  2. Use the quantities: The constant of proportionality is 14 ÷ 8 = 7/4; multiplying by 20 gives 35.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The constant of proportionality is 14 ÷ 8 = 7/4; multiplying by 20 gives 35.

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Frequently asked questions about California Grade 8 CAASPP Math Practice Test

Which Math skills are covered?

The page covers number systems, proportional relationships, algebra, functions, equations, inequalities, geometry, statistics, probability, and modeling for Grade 8.

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 CAASPP questions?

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