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 2026

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 the ACT Aspire test?

ACT Aspire is published by ACT and used as a state test in several states (Arkansas, South Carolina, and others) for grades 3-10. It covers English, math, reading, science, and writing, aligned to ACT-style college and career readiness skills.

Which math topics dominate the 7th grade ACT Aspire?

Proportional relationships, all four operations on rational numbers, two-step equations and inequalities, percent applications, geometry (circles, scale drawings, prisms), and basic probability.

How long is the 7th grade math test?

About 70-80 minutes for the math portion. The full ACT Aspire battery (English, math, reading, science, writing) takes several hours across multiple sessions.

Are calculators allowed?

Partially. The exact policy varies by state, but most allow a basic calculator on certain items and prohibit it on others.

What is the score range?

Each subject is reported on a scale that maps to ACT readiness benchmarks. The math benchmarks for 7th grade indicate whether the student is on track for the 11th-grade ACT.

How is the test connected to the high school ACT?

ACT Aspire is designed as a longitudinal predictor of ACT performance. Strong 7th grade scores indicate the student is on track to meet ACT college-readiness benchmarks by 11th grade.

How do I solve a proportional relationship problem?

Identify the constant of proportionality k = y/x for any pair. The equation is y = kx. Use it to find missing values.

Walk through a percent example.

A shirt originally 80, now 60. Change = 20, percent change = 20/80 = 25% decrease. Always divide by the ORIGINAL value.

How do I find the circumference of a circle?

C = 2 pi r (or pi d). With r = 7 and pi = 3.14: C = 2(3.14)(7) = 43.96 units.

How should we prepare?

Take one full-length practice test. Review every miss with the underlying concept named. Target the 2-3 weakest topics with focused practice.

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.