Arizona AASA · Grade 7 · Math

Arizona AASA Grade 7 Math Practice Test

Build Grade 7 Arizona AASA Math readiness with five focused 10-question practice sets covering ratios, rational numbers, algebra, geometry, probability, statistics, and problem solving.

Arizona AASA Grade 7 Math practice sets

This Arizona AASA Grade 7 Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across ratios, rates, rational numbers, algebra, geometry, probability, statistics, and mathematical reasoning.

Skills covered

  • Unit rates, proportional relationships, scale, equivalent ratios, percent increase, percent decrease, and discounts
  • Operations with positive and negative rational numbers, fractions, decimals, number lines, and real-world changes
  • Equivalent expressions, distributive property, combining like terms, equations, inequalities, and variable models
  • Angles, circles, volume, scale drawings, triangle area, probability, histograms, mean, outliers, and interquartile range
  • Mixed Grade 7 word problems that connect percentages, rates, fractions, geometry, statistics, and algebra

How to use this page

Complete one 10-question set at a time. Show your work, estimate when useful, and review each explanation after responding.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Arizona Department of Education guidance, official AASA blueprints, accommodations, or testing schedules.

For the broader Arizona assessment hub, visit Arizona State Assessments.

5. Test

Arizona AASA Grade 7 Math Practice Questions

A 10-question Arizona AASA Grade 7 Math practice set on mixed grade 7 problem solving, with answers and explanations.

Read each problem 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 jacket costs 72 dollars after a 20% discount. What was the original price?

Please select an answer first.

Correct answer: A

The correct answer is 90 dollars.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: After a 20 percent discount, 72 dollars is 80 percent of the original. 72 divided by 0.8 equals 90.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

After a 20 percent discount, 72 dollars is 80 percent of the original. 72 divided by 0.8 equals 90.

2. QuestionMultiple choice

A tank is filled at 2.4 liters per minute for 15 minutes. How many liters are added?

Please select an answer first.

Correct answer: B

The correct answer is 36 liters.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Multiply 2.4 by 15 to get 36 liters.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Multiply 2.4 by 15 to get 36 liters.

3. QuestionMultiple choice

A student spends 38\frac{3}{8} of an hour reading and 14\frac{1}{4} of an hour reviewing notes. How much time is that in all?

Please select an answer first.

Correct answer: C

The correct answer is rac58rac{5}{8} hour.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: One fourth equals two eighths, and three eighths plus two eighths equals five eighths.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

One fourth equals two eighths, and three eighths plus two eighths equals five eighths.

4. QuestionMultiple choice

A rectangular garden has length 20 meters and width 12 meters. A path of 2 meters is added to each side of the length. What is the new length?

Please select an answer first.

Correct answer: D

The correct answer is 24 meters.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Adding 2 meters to each end adds 4 meters total: 20 plus 4 equals 24.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Adding 2 meters to each end adds 4 meters total: 20 plus 4 equals 24.

5. QuestionMultiple choice

A hiker walks 1.5 miles east and then 2.25 miles west. What is the net displacement?

Please select an answer first.

Correct answer: A

The correct answer is 0.75 mile west.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: The westward distance exceeds the eastward distance by 2.25 minus 1.5, or 0.75 mile.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

The westward distance exceeds the eastward distance by 2.25 minus 1.5, or 0.75 mile.

6. QuestionMultiple choice

A school surveys 80 students. If 35% choose science as their favorite subject, how many students is that?

Please select an answer first.

Correct answer: B

The correct answer is 28 students.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Thirty-five percent of 80 is 0.35 times 80, which equals 28.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Thirty-five percent of 80 is 0.35 times 80, which equals 28.

7. QuestionMultiple choice

A recipe uses 3 cups of flour for 8 batches. How much flour is needed for 20 batches?

Please select an answer first.

Correct answer: C

The correct answer is 7.5 cups.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: The rate is 3 eighths cup per batch. Twenty times 3 eighths equals 60 eighths, or 7.5 cups.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

The rate is 3 eighths cup per batch. Twenty times 3 eighths equals 60 eighths, or 7.5 cups.

8. QuestionMultiple choice

A data set has a mean of 14 for 5 values. What is the sum of the values?

Please select an answer first.

Correct answer: D

The correct answer is 70.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Mean equals sum divided by number of values, so the sum is 14 times 5, or 70.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Mean equals sum divided by number of values, so the sum is 14 times 5, or 70.

9. QuestionMultiple choice

A student solves 4x−7=214x - 7 = 21. What is x?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Add 7 to get 4x equals 28, then divide by 4 to get 7.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Add 7 to get 4x equals 28, then divide by 4 to get 7.

10. QuestionMultiple choice

A spinner has 8 equal sections, 3 of which are yellow. What is the probability of not landing on yellow?

Please select an answer first.

Correct answer: B

The correct answer is rac58rac{5}{8}.

  1. Identify the information: Read the numbers, units, expressions, or diagram details carefully.
  2. Apply the method: Five of the eight sections are not yellow, so the probability is five eighths.
  3. Check the result: Estimate or use an inverse operation to check that the answer is reasonable.

Five of the eight sections are not yellow, so the probability is five eighths.

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Frequently asked questions about Arizona AASA Grade 7 Math Practice Test

Which Grade 7 Math skills are covered?

The page covers ratios, rates, rational numbers, expressions, equations, inequalities, geometry, probability, statistics, and multi-step problem solving.

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 AASA questions?

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