AFOQT Math Practice Test Questions

AFOQT Math Practice Test Questions

Preparing for the AFOQT Arithmetic and Mathematics Knowledge test? Try these free AFOQT Math Practice questions. Reviewing practice questions is the best way to brush up your Math skills. Here, we walk you through solving 10 common AFOQT Math practice problems covering the most important math concepts on the AFOQT Math test.

These AFOQT Math practice questions are designed to be similar to those found on the real AFOQT Math test. They will assess your level of preparation and will give you a better idea of what to study on your exam.

The Absolute Best Book to Ace the AFOQT Math Test

10 Sample AFOQT Math Practice Questions

1- A card is drawn at random from a standard 52–card deck, what is the probability that the card is of Hearts? (The deck includes 13 of each suit clubs, diamonds, hearts, and spades)

☐A. \(\frac{1}{3} \)

☐B. \(\frac{1}{6} \)

☐C. \(\frac{1}{52} \)

☐D. \(\frac{1}{4} \)

2- \((5x + 5) (2x + 6) =\) ?

☐A. \(5x + 6\)

☐B. \(10x^2 + 40x + 30\)

☐C. \(5x + 5x + 30\)

☐D. \(5x^2 + 5\)

3- The mean of 50 test scores was calculated as 88. But, it turned out that one of the scores was misread as 94 but it was 69. What is the mean?

☐A. 85

☐B. 87

☐C. 87.5

☐D. 88.5

4- \(5 (a – 6) = 22\), what is the value of \(a\)?

☐A. 2.4

☐B. 10.4

☐C. 7

☐D. 11

5- If \(3^{24}=3^8× 3^x\), what is the value of \(x\)?

☐A. 2

☐B. 1.5

☐C. 3

☐D. 16

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. \(40\%\)

☐B. \(60\%\)

☐C. \(80\%\)

☐D. \(20\%\)

8- Factor this expression: \(x^2 + 5 − 6 \)

☐A. \(x^2(5 + 6)\)

☐B. \(x(x + 5 – 6)\)

☐C. \((x + 6)(x – 1)\)

☐D. \((x + 6)(x – 6)\)

9- Find the slope of the line running through the points \((6, 7)\) and \((5, 3)\).

☐A. \(\frac{1}{4}\)

☐B. 4

☐C. \(-4\)

☐D. \(-\frac{1}{4}\)

10- What is the missing term in the given sequence?
\(2, 3, 5, 8, 12, 17, 23, _, 38\)

☐A. 30

☐B. 28

☐C. 27

☐D. 25

Best AFOQT Math Prep Resource for 2020

Answers:

1- D
The probability of choosing a Hearts is \(\frac{13}{52}=\frac{1}{4} \)

2- B
Use FOIL (first, out, in, last) method.
\((5x + 5) (2x + 6) = 10x^2 + 30x + 10x + 30 = 10x^2 + 40x + 30\)

3- C
\(average (mean) =\frac{(sum \space of \space terms)}{(number \space of \space terms)} {\Rightarrow} 88 = \frac{(sum \space of \space terms)}{50} {\Rightarrow} sum = 88 {\times} 50 = 4400\)
The difference of 94 and 69 is 25. Therefore, 25 should be subtracted from the sum.
\(4400 – 25 = 4375\)
\(mean = \frac{(sum of terms)}{(number of terms)} ⇒ mean = \frac{(4375)}{50}= 87.5\)

4- B
\(5(a–6)=22 ⇒ 5a-30=22 ⇒5a=22+30=52\)
\(⇒ 5a=52⇒a=\frac{52}{5}= 10.4 \)

5- D
Use exponent multiplication rule:
\(x^a . x^b = x^{a + b}\)
Then:
\(3^{24}=3^8× 3^x=3^{8+x}\)
\(24 = 8 + x ⇒x=24-8=16\)

6- C
The distance between Jason and Joe is 9 miles. Jason 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. \(9 \div 1.5 = 6\)

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

8- C
To factor the expression \(x^2 + 5 – 6\), we need to find two numbers whose sum is 5 and their product is \(-6\).
Those numbers are 6 and \(-1\). Then:
\(x^2+5-6=(x+6)(x-1)\)

9- B
Slope of a line:\(\frac{y_2- y_1}{x_2 – x_1}=\frac{rise}{run}\)
\(\frac{y_2- y_1}{x_2 – x_1}=\frac{3- 7}{5 – 6}=\frac{-4}{-1}= 4\)

10- A
The difference of 2 and 3 is 1, 3 and 5 is 2, 5 and 8 is 3, 8 and 12 is 4, 12 and 17 is 5, 17 and 23 is 6, 23 and next number should be 7. The number is \(23 + 7 = 30\)

Looking for the best resource to help you succeed on the AFOQT Math test?

The Best Books to Ace the AFOQT Math Test

Related to "AFOQT Math Practice Test Questions"

Top 10 AFOQT Math Practice Questions
Top 10 AFOQT Math Practice Questions
AFOQT Math Formulas
AFOQT Math Formulas
How to prepare for AFOQT Math Test
How to prepare for AFOQT Math Test
The Ultimate AFOQT Math Course
The Ultimate AFOQT Math Course
AFOQT Math Worksheets
AFOQT Math Worksheets

Leave a Reply

Your email address will not be published. Required fields are marked *

How Does It Work?

Find Books

1. Find eBooks

Locate the eBook you wish to purchase by searching for the test or title.

add to cart

2. Add to Cart

Add the eBook to your cart.

checkout

3. Checkout

Complete the quick and easy checkout process.

download

4. Download

Immediately receive the download link and get the eBook in PDF format.

Why Buy eBook From Effortlessmath?

Save money

Save up to 70% compared to print

Instantly download

Instantly download and access your eBook

help environment

Help save the environment

Access

Lifetime access to your eBook

Test titles

Over 2,000 Test Prep titles available

Customers

Over 80,000 happy customers

Star

Over 10,000 reviews with an average rating of 4.5 out of 5

Support

24/7 support

Anywhere

Anytime, Anywhere Access

Find Your Test

Schools, tutoring centers, instructors, and parents can purchase Effortless Math eBooks individually or in bulk with a credit card or PayPal. Find out more…