7th Grade ACT Aspire Math FREE Sample Practice Questions

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Start preparing your student for the 2026 ACT Aspire Math test with our free sample practice questions. Also, make sure to follow some of the related links at the bottom of this post to get a better idea of what kind of mathematics questions students need to practice.

10 Sample 7th Grade ACT Aspire Math Practice Questions

1- A chemical solution contains \(4\%\) alcohol. If there is 24 ml of alcohol, what is the volume of the solution?

A. 240 ml

B. 480 ml

C. 600 ml

D. 1200 ml

2- The price of a laptop is decreased by \(10\%\) to $360. What is its original price?

A. 320

B. 380

C. 400

D. 450

3- What is the median of these numbers? \(4, 9, 13, 8, 15, 18, 5\)

A. 8

B. 9

C. 13

D. 15

4- Three times the price of a laptop is equal to five times the price of a computer. If the price of the laptop is $200 more than a computer, what is the price of the computer?

A. 300

B. 500

C. 800

D. 1500

5- What is the perimeter of a square that has an area of 595.36 feet?

6- Jason is 9 miles ahead of Joe running at 5.5 miles per hour and Joe is running at the speed of 7 miles per hour. How long does it take Joe to catch Jason?

A. 3 hours

B. 4 hours

C. 6 hours

D. 8 hours

7- 55 students took an exam, and 11 of them failed. What percent of the students passed the exam?

A. \(20 \%\)

B. \(40 \%\)

C. \(60 \%\)

D. \(80 \%\)

8- Jason needs an \(75\%\) average in his writing class to pass. On his first 4 exams, he earned scores of \(68\%, 72\%, 85\%,\) and \(90\%\). What is the minimum score Jason can earn on his fifth and final test to pass?

9- A bank is offering \(3.5\%\) simple interest on a savings account. If you deposit $12,000, how much interest will you earn in two years?

A. $420

B. $840

C. $4200

D. $8400

10- 5 less than twice a positive integer is 83. What is the integer?

A. 39

B. 41

C. 42

D. 44

Best 7th Grade ACT Aspire Math Workbook Resource for 2027

Answers:

2- C
Let \(x\) be the original price.
If the price of a laptop is decreased by \(10\%\) to $360, then:
\(90 \%\) of \(x=360 ⇒ 0.90x=360 ⇒ x=360÷0.90=400\)

3- B
Write the numbers in order:
\(4, 5, 8, 9, 13, 15, 18\)
Since we have 7 numbers (7 is odd), then the median is the number in the middle, which is 9.

4- A
Let L be the price of a laptop and C be the price of a computer.
\(3\)(L) \(=5\)(C) \(\space\) and \(\space\) L \(= $200 +\) C
Therefore, \(3($200 +\) C\()=5\)C \(⇒ $600 + 3\)C \(= 5\)C \(⇒\) C\(=$300\)

5- 97.6
Use the area of a square formula.
\(S = a^2 ⇒ 595.36 = a^2 ⇒ a = 24.4\)
Use the perimeter of a square formula.
\(P = 4a ⇒ P=4(24.4) ⇒ P = 97.6\)

6- C
The distance between Jason and Joe is 9 miles. Jason is running at 5.5 miles per hour, and Joe is running at the speed of 7 miles per hour. Therefore, every hour, the distance is 1.5 miles less.
\(9 ÷ 1.5 = 6\)

7- D
The failing rate is 11 out of \(55 = \frac{11}{55}\).
Change the fraction to percent:
\(\frac{11}{55} ×100\%=20\%\)
20 percent of students failed. Therefore, 80 percent of students passed the exam.

8- 60
Jason needs a \(75\%\) average to pass for five exams. Therefore, the sum of 5 exams must be at least \(5 × 75 = 375\)
The sum of 4 exams is:
\(68 + 72 + 85 + 90 = 315\)
The minimum score Jason can earn on his fifth and final test to pass is:
\(375 – 315 = 60\)

9- B
Use the simple interest formula:
I=prt
(I = interest, p = principal, r = rate, t = time)
I\(=(12000)(0.035)(2)=840\)

10- D
Let \(x\) be the integer. Then:
\(2x – 5 = 83\)
Add 5 both sides: \(2x = 88\)
Divide both sides by \(2: x = 44\)

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Frequently Asked Questions

What is ACT Aspire?

ACT Aspire is a test from ACT for students in grades 3 through 10 that measures English, reading, writing, math and science and shows whether a student is on track for college and career readiness. Some states, districts and schools use it as a yearly check. The 7th grade math test covers ratios and proportions, rational numbers, equations, geometry, and statistics and probability.

What is a good ACT Aspire score?

A good ACT Aspire score is one at or above the ACT Readiness Benchmark for your child’s grade and subject, which means they are on track. Results are grouped into four levels: In Need of Support, Close, Ready and Exceeding. For 7th grade math, Ready or Exceeding is a strong result. The score report lists the exact benchmark for your child’s grade.

What is the ACT Aspire score range?

ACT Aspire reports scale scores in the 400s, and the range rises with each grade so growth can be tracked from year to year. A 7th grader’s math score is compared with the grade 7 benchmark, not with older students. Check your child’s score report for the exact range and benchmark, along with the breakdown by math reporting category.

What grade levels take ACT Aspire?

ACT Aspire is built for grades 3 through 10, with a separate test for each grade. In 7th grade, the math test focuses on proportional reasoning, operations with negative numbers, two-step equations, and geometry such as circles and prisms. For example, a 7th grader might solve 0.04x = 24 by dividing both sides by 0.04 to get x = 600.

Related Lessons You May Like

• How to add and subtract integers
• How to solve proportional ratios
• How to solve percent of change
• How to solve one-step equations
• How to solve multi-step word problems

If you want a workbook for these questions, Mastering Grade 7 Math covers every Grade 7 standard. Mastering Grade 7 Math Word Problems is a strong companion.