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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.

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

4. Test

California Grade 7 CAASPP Math Practice Questions

A 10-question California Grade 7 CAASPP Math practice set on statistics, probability, and sampling, 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 the mean of 8, 10, 12, 14, and 16?

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 sum is 60, and 60 divided by 5 is 12.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The sum is 60, and 60 divided by 5 is 12.

2. QuestionMultiple choice

A data set has a median of 24 and an interquartile range of 8. What does the interquartile range describe?

Please select an answer first.

Correct answer: B

The correct answer is The spread of the middle half of the data..

  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 interquartile range is the third quartile minus the first quartile, describing the middle 50 percent of the data.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The interquartile range is the third quartile minus the first quartile, describing the middle 50 percent of the data.

3. QuestionMultiple choice

A bag contains 4 green, 3 yellow, and 5 blue counters. What is the probability of selecting a yellow counter?

Please select an answer first.

Correct answer: C

The correct answer is 1/4.

  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 3 yellow counters out of 12 total, and 3/12 simplifies to 1/4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

There are 3 yellow counters out of 12 total, and 3/12 simplifies to 1/4.

4. QuestionMultiple choice

A fair coin is tossed twice. What is the probability of getting heads both times?

Please select an answer first.

Correct answer: D

The correct answer is 1/4.

  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 probability of heads on each toss is 1/2, so the product is 1/2 × 1/2 = 1/4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The probability of heads on each toss is 1/2, so the product is 1/2 × 1/2 = 1/4.

5. QuestionMultiple choice

A survey of 80 randomly selected students finds that 52 prefer a later lunch period. Which conclusion is most appropriate?

Please select an answer first.

Correct answer: A

The correct answer is The survey suggests that a majority of students may prefer a later lunch period..

  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 random sample can support an estimate about the population, but it does not prove an exact count or eliminate other preferences.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

A random sample can support an estimate about the population, but it does not prove an exact count or eliminate other preferences.

6. QuestionMultiple choice

Which sample is most likely to represent all students at a school?

Please select an answer first.

Correct answer: B

The correct answer is A random selection of students from every grade..

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: Randomly selecting students across every grade gives different groups a chance to be included.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

Randomly selecting students across every grade gives different groups a chance to be included.

7. QuestionMultiple choice

A scatter plot shows that study time and test scores generally increase together. What association does this describe?

Please select an answer first.

Correct answer: C

The correct answer is Positive association.

  1. Identify the task: Decide whether the question asks about proportional relationships, rational numbers, expressions, equations, geometry, data, or modeling.
  2. Use the quantities: As one variable increases, the other generally increases, which is a positive association.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

As one variable increases, the other generally increases, which is a positive association.

8. QuestionMultiple choice

A data set has values 11, 12, 12, 13, 14, and 40. Which measure is most affected by the outlier?

Please select an answer first.

Correct answer: D

The correct answer is The mean.

  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 unusually large value pulls the arithmetic mean upward more than it changes the median or mode.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

The unusually large value pulls the arithmetic mean upward more than it changes the median or mode.

9. QuestionMultiple choice

A spinner has 8 equal sections: 3 red, 2 green, and 3 blue. What is the probability of not landing on green?

Please select an answer first.

Correct answer: A

The correct answer is 3/4.

  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 6 non-green sections out of 8, and 6/8 simplifies to 3/4.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

There are 6 non-green sections out of 8, and 6/8 simplifies to 3/4.

10. QuestionMultiple choice

Two groups have the same mean test score. Group A has a smaller range than Group B. What does this indicate?

Please select an answer first.

Correct answer: B

The correct answer is Group A’s scores are less spread out..

  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 smaller range means the distance between the minimum and maximum is smaller, indicating less spread.
  3. Check the result: Review signs, units, operations, and whether the answer is reasonable in the situation.

A smaller range means the distance between the minimum and maximum is smaller, indicating less spread.

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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.