Top 10 AFOQT Math Practice Questions
Preparing for the AFOQT Math test? Need some sample practice questions to measure your exam readiness? The best way to prepare for your AFOQT Math test is to work through as many AFOQT Math practice questions as possible. Here are the top 10 AFOQT Math practice questions to help you review the most important AFOQT Math concepts. These AFOQT Math practice questions are designed to cover mathematics concepts and topics that are found on the actual test. The questions have been fully updated to reflect the latest 2026 AFOQT guidelines. Answers and full explanations are provided at the end of the post.
Start your AFOQT Math test prep journey right now with these sample AFOQT Math questions.
The Absolute Best Book to Ace the AFOQT Math Test
x^2+2xy-2y^2\)
D. \(4x^2+2xy-2y^2\)
7- Each year, a cyber café charges its customers a base rate of $15, with an additional $0.20 per visit for the first 40 visits, and $0.10 for every visit after that. How much does the cyber café charge a customer for a year in which 60 visits are made?
A. $25
B. $29
C. $35
D. $39
8- What is the product of all possible values of \(x\) in the following equation?
\(|x-10| = 3\)
A. 3
B. 7
C. 13
D. 91
9- What is the value of \(x\) in the following system of equations?
\(2x+5y=11\)
\(4x-2y=-14\)
A. \(-1\)
B. 1
C. 4
D. \(-2\)
10- While at work, Emma checks her email once every 90 minutes. In 9−hour, how many times does she check her email?
A. 4 Times
B. 5 Times
C. 7 Times
D. 6 Times
Best AFOQT Math Prep Resource for 2026
Answers:
1- B
\(36 ÷ 3 = 12\) hours for one course
\(12 × 25 = 300 ⇒ $300\)
2- D
Plug in the value of \(x\) and \(y\).
\(x=3\) and \(y=-2\)
\((5(x-2y)+(2-x))^2=(5(3-2(-2))+(2-3))^2=(5(3+4)+(-1))^2 = (34)^2=36\) For additional educational resources, visit the U.S. Department of Education website.
3- D
Michelle \(=\) Karen \(– 9\)
Michelle \(=\) David \(– 4\)
Karen \(+\) Michelle \(+\) David \(= 82\)
Karen \(+ 9 =\) Michelle ⇒ Karen \(=\) Michelle \(– 9\)
Karen \(+\) Michelle \(+\) David \(= 82\)
Now, replace the ages of Karen and David by Michelle. Then:
Michelle \(+ 9 +\) Michelle + Michelle \(+ 4 = 82\)
\(3\)Michelle \(+ 13 = 82\) ⇒ 3Michelle \(= 82 – 13\)
\(3\)Michelle \(= 69\)
Michelle \(= 23\) For additional educational resources, visit the U.S. Department of Education website.
4- D
The equation of a line in slope intercept form is: \(y=mx+b\)
Solve for \(y\).
\(4x-2y=12 {\Rightarrow} -2y=12-4x {\Rightarrow} y=(12-4x){\div}(-2) {\Rightarrow} y=2x-6\)
The slope of this line is \(2\).
The product of the slopes of two perpendicular lines is \(-1\).
Therefore, the slope of a line that is perpendicular to this line is:
\(m_{1} {\times} m_{2} = -1 {\Rightarrow} 2 {\times} m_{2} = -1 {\Rightarrow} m_{2} = \frac{-1}{2}\) For additional educational resources, visit the U.S. Department of Education website.
5- B
Since Julie gives \(8\) pieces of candy to each of her friends, then, the number of pieces of candies must be divisible by 8.
A. \(187 ÷ 8 = 23.375\)
B. \( 216 ÷ 8 = 27\)
C. \( 343 ÷ 8 = 42.875\)
D. \(223 ÷ 8 = 27.875\)
Only choice B gives a whole number. For additional educational resources, visit the U.S. Department of Education website.
6- D
Use FOIL method.
\((2x+2y)(2x-y) = 4x^2-2xy+4xy-2y^2=4x^2+2xy-2y^2\) For additional educational resources, visit the U.S. Department of Education website.
7- A
The base rate is \($15\).
The fee for the first \(40\) visits is: \(40×0.20=8\)
The fee for the visits \(41\) to \(60\) is: \(20×0.10=2\)
Total charge: \(15 + 8 + 2 = 25\) For additional educational resources, visit the U.S. Department of Education website.
8- D
To solve absolute values equations, write two equations.
\(x-10\) could be positive \(3\), or negative \(3\). Therefore,
\(x-10=3 \Rightarrow x=13\)
\(x-10=-3 \Rightarrow x=7\)
Find the product of solutions: \(7 \times 13 = 91 \) For additional educational resources, visit the U.S. Department of Education website.
9- D
Solving Systems of Equations by Elimination
Multiply the first equation by \((-2)\), then add it to the second equation.
\({-2(2x+5y= 11) \ 4x-2y=-14} {\Rightarrow} {-4x-10y= -22 \ 4x-2y=-14} {\Rightarrow} {-12y= -36} {\Rightarrow} {y= 3}\)
Plug in the value of y into one of the equations and solve for \(x\).
\(2x+5(3)= 11 {\Rightarrow} 2x+15= 11 {\Rightarrow} 2x= -4 {\Rightarrow} x= -2\) For additional educational resources, visit the U.S. Department of Education website.
10- D
Change \(9\) hours to minutes, then: \(9 × 60 = 540\) minutes
\(\frac{540}{90}=6\) For additional educational resources, visit the U.S. Department of Education website.
Looking for the best resource to help you succeed on the AFOQT Math test? For additional educational resources, visit the U.S. Department of Education website.
The Best Books to Ace the AFOQT Math Test
More from Effortless Math for AFOQT Test …
How do I prepare for the AFOQT Math?
Get your answer in this post: How to Prepare for the AFOQT Math Test?
Need FREE online resources for the AFOQT Math test?
Here is our complete list of Top 10 Websites for FREE AFOQT Math Preparation.
Need a practice test to help you improve your AFOQT Math score?
Check out our Full-Length AFOQT Math Practice Test and Free AFOQT Math Practice Test.
The Perfect Prep Books for the AFOQT Math Test
Have any questions about the AFOQT Test?
Write your questions about the AFOQT or any other topics below and we’ll reply!
Related to This Article
More math articles
- Full-Length 6th Grade STAAR Math Practice Test
- Bеѕt Lарtорѕ for Teachers
- 10 Most Common 7th Grade ACT Aspire Math Questions
- How to Graph Translations on the Coordinate Plane?
- How to Decompose Fractions into Unit Fractions?
- The Ultimate TASC Math Formula Cheat Sheet
- PSAT 8/9, PSAT 10, and PSAT/NMSQT Preview
- How to Find Inverses of 2×2 Matrices?
- Missing Numerals
- Full-Length DAT Quantitative Reasoning Practice Test
What people say about "Top 10 AFOQT Math Practice Questions - Effortless Math: We Help Students Learn to LOVE Mathematics"?
No one replied yet.