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California CAASPP · Grade 7 · Math

California Grade 7 CAASPP Math Practice Test

Build Grade 7 California CAASPP Math readiness with five focused 10-question practice sets covering proportional reasoning, rational numbers, algebra, geometry, statistics, and modeling.

Grade 7 CAASPP Math practice sets

This California Grade 7 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 numbers, expressions, equations, inequalities, geometry, probability, statistics, and mathematical modeling.

Math skills covered

  • Ratios, proportional relationships, scale factors, percent change, rational numbers, powers of ten, estimation, and unit rates
  • Expressions, equations, inequalities, slope-intercept form, arithmetic sequences, and mathematical relationships
  • Angle relationships, scale drawings, circles, area, surface area, volume, transformations, and coordinate geometry
  • Samples, populations, measures of center, variability, probability, compound events, and data displays
  • 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, label units, check signs, 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.

Select a test

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

1. Test

California Grade 7 CAASPP Math Practice Questions

A 10-question California Grade 7 CAASPP Math practice set on ratios, proportions, and rational numbers, 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 recipe uses 4 cups of rice for 10 servings. How many cups are needed for 25 servings at the same rate?

Please select an answer first.

Correct answer: A

The correct answer is 10 cups.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The rate is 4 ÷ 10 = 0.4 cup per serving, and 0.4 × 25 = 10 cups.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The rate is 4 ÷ 10 = 0.4 cup per serving, and 0.4 × 25 = 10 cups.

2. QuestionMultiple choice

A map uses a scale of 1 inch for every 18 miles. Two towns are 3.5 inches apart on the map. What is the actual distance?

Please select an answer first.

Correct answer: B

The correct answer is 63 miles.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Multiply the map distance by the scale: 3.5 × 18 = 63 miles.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Multiply the map distance by the scale: 3.5 × 18 = 63 miles.

3. QuestionMultiple choice

Which equation represents a proportional relationship?

Please select an answer first.

Correct answer: C

The correct answer is y = 4.5x.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: A proportional relationship has the form y = kx and passes through the origin, so y = 4.5x qualifies.
  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 and passes through the origin, so y = 4.5x qualifies.

4. QuestionMultiple choice

A quantity decreases from 80 to 68. What is the percent decrease?

Please select an answer first.

Correct answer: D

The correct answer is 15 percent.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The decrease is 12, and 12 ÷ 80 = 0.15, or 15 percent.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The decrease is 12, and 12 ÷ 80 = 0.15, or 15 percent.

5. QuestionMultiple choice

What is -3.6 + 5.2?

Please select an answer first.

Correct answer: A

The correct answer is 1.6.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Subtract the absolute values because the signs differ: 5.2 − 3.6 = 1.6, with the positive sign.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Subtract the absolute values because the signs differ: 5.2 − 3.6 = 1.6, with the positive sign.

6. QuestionMultiple choice

What is 7/8 − 1/3?

Please select an answer first.

Correct answer: B

The correct answer is 13/24.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Using a common denominator of 24 gives 21/24 − 8/24 = 13/24.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Using a common denominator of 24 gives 21/24 − 8/24 = 13/24.

7. QuestionMultiple choice

Which number is equivalent to 2.75 × 10 to the power of 3?

Please select an answer first.

Correct answer: C

The correct answer is 2,750.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Multiplying by 10 to the power of 3 moves the decimal three places right: 2.75 becomes 2,750.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Multiplying by 10 to the power of 3 moves the decimal three places right: 2.75 becomes 2,750.

8. QuestionMultiple choice

A store increases a 40-dollar price by 25 percent. What is the new price?

Please select an answer first.

Correct answer: D

The correct answer is 50 dollars.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Twenty-five percent of 40 is 10, so the new price is 40 + 10 = 50 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Twenty-five percent of 40 is 10, so the new price is 40 + 10 = 50 dollars.

9. QuestionMultiple choice

Which value is closest to the product of -2.9 and 4.1?

Please select an answer first.

Correct answer: A

The correct answer is -12.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: The product is about -11.89, which is closest to -12.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The product is about -11.89, which is closest to -12.

10. QuestionMultiple choice

A charity receives 3 dollars for every 8 cans collected. How much is received for 120 cans?

Please select an answer first.

Correct answer: B

The correct answer is 45 dollars.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: There are 120 ÷ 8 = 15 groups of 8 cans, so 15 × 3 = 45 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

There are 120 ÷ 8 = 15 groups of 8 cans, so 15 × 3 = 45 dollars.

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Frequently asked questions about California Grade 7 CAASPP Math Practice Test

Which Math skills are covered?

The page covers proportional relationships, rational numbers, algebra, equations, inequalities, geometry, statistics, probability, and modeling for Grade 7.

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.