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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

5. Test

California Grade 7 CAASPP Math Practice Questions

A 10-question California Grade 7 CAASPP Math practice set on problem solving and mathematical modeling, 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 phone plan costs 35 dollars per month plus 0.08 dollars per text message. What is the cost for 250 messages?

Please select an answer first.

Correct answer: A

The correct answer is 55 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: The message cost is 0.08 × 250 = 20 dollars, and 35 + 20 = 55 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The message cost is 0.08 × 250 = 20 dollars, and 35 + 20 = 55 dollars.

2. QuestionMultiple choice

A school has 480 students. If 35 percent attend an after-school program, how many students attend?

Please select an answer first.

Correct answer: B

The correct answer is 168 students.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Thirty-five percent of 480 is 0.35 × 480 = 168 students.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Thirty-five percent of 480 is 0.35 × 480 = 168 students.

3. QuestionMultiple choice

A rectangular garden has a perimeter of 54 meters. Its length is 18 meters. What is its width?

Please select an answer first.

Correct answer: C

The correct answer is 9 meters.

  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 perimeter equation is 2(18 + w) = 54, so 18 + w = 27 and w = 9 meters.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The perimeter equation is 2(18 + w) = 54, so 18 + w = 27 and w = 9 meters.

4. QuestionMultiple choice

A tank is filled at 6 liters per minute and already contains 18 liters. Which equation gives the amount A after t minutes?

Please select an answer first.

Correct answer: D

The correct answer is A = 6t + 18.

  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 initial amount is 18 and the amount increases by 6 for each minute, so A = 6t + 18.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The initial amount is 18 and the amount increases by 6 for each minute, so A = 6t + 18.

5. QuestionMultiple choice

A jacket marked 80 dollars is discounted 30 percent, then a 5-dollar fee is added. What is the final cost?

Please select an answer first.

Correct answer: A

The correct answer is 61 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: The discount is 24 dollars, so the sale price is 56; adding 5 gives 61 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The discount is 24 dollars, so the sale price is 56; adding 5 gives 61 dollars.

6. QuestionMultiple choice

A runner completes 2.4 miles in 18 minutes. At the same pace, how many minutes would 6 miles take?

Please select an answer first.

Correct answer: B

The correct answer is 45 minutes.

  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 pace is 18 ÷ 2.4 = 7.5 minutes per mile, and 7.5 × 6 = 45 minutes.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The pace is 18 ÷ 2.4 = 7.5 minutes per mile, and 7.5 × 6 = 45 minutes.

7. QuestionMultiple choice

A rectangular prism has a volume of 240 cubic centimeters, a length of 10 centimeters, and a width of 6 centimeters. What is its height?

Please select an answer first.

Correct answer: C

The correct answer is 4 centimeters.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Height equals volume divided by length and width: 240 ÷ (10 × 6) = 4 centimeters.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Height equals volume divided by length and width: 240 ÷ (10 × 6) = 4 centimeters.

8. QuestionMultiple choice

A student has 75 dollars and spends 18 dollars on supplies. The student then saves 1/3 of the remaining money. How much is left after saving?

Please select an answer first.

Correct answer: D

The correct answer is 38 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: After spending, 75 − 18 = 57 dollars remain. Saving one-third leaves two-thirds: 57 × 2/3 = 38 dollars.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

After spending, 75 − 18 = 57 dollars remain. Saving one-third leaves two-thirds: 57 × 2/3 = 38 dollars.

9. QuestionMultiple choice

A bus travels 210 miles using 7 gallons of fuel. At the same efficiency, how many gallons are needed for 360 miles?

Please select an answer first.

Correct answer: A

The correct answer is 12 gallons.

  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 bus travels 30 miles per gallon, and 360 ÷ 30 = 12 gallons.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The bus travels 30 miles per gallon, and 360 ÷ 30 = 12 gallons.

10. QuestionMultiple choice

A rectangular poster is enlarged so every length is multiplied by 1.5. If its original area is 40 square inches, what is the new area?

Please select an answer first.

Correct answer: B

The correct answer is 90 square inches.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Area is multiplied by the square of the scale factor: 1.5² × 40 = 2.25 × 40 = 90 square inches.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Area is multiplied by the square of the scale factor: 1.5² × 40 = 2.25 × 40 = 90 square inches.

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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.