Full-Length AFOQT Math Practice Test

Taking a Full-length AFOQT Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.
To help you get the best out of this complete and realistic AFOQT Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length AFOQT Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck! For additional educational resources,. For additional educational resources

The Absolute Best Book to Ace the AFOQT Math Test

AFOQT Math for Beginners 2024 The Ultimate Step by Step Guide to Preparing for the AFOQT Math Test

Download

$27.99 Original price was: $27.99.$17.99Current price is: $17.99.

Rated 4.44 out of 5 based on 220 customer ratings

Satisfied 211 Students

custom-style=”” product-item-container-size=”” product-item-add-to-cart-class=”btn-accent btn-purchase-ajax” product-item-button-custom-url=”{url}/?ajax-add-to-cart={id}” product-item-button-custom-url-if-not-salable=”{productUrl} product-item-container-class=”” product-item-element-order=”image,title,purchase,price” product-item-title-size=”” product-item-title-wrapper-size=”col-10″ product-item-title-tag=”h3″ product-item-title-class=”mt-0″ product-item-title-wrapper-class=”float-left pr-0″ product-item-price-size=”” product-item-purchase-size=”” product-item-purchase-wrapper-size=”” product-item-price-wrapper-class=”pr-0 float-left” product-item-price-wrapper-size=”col-10″ product-item-read-more-text=”” product-item-add-to-cart-text=”” product-item-add-to-cart-custom-attribute=”title=’Purchase this book with single click’” product-item-thumbnail-size=”290-380″ show-details=”false” show-excerpt=”false” paginate=”false” lazy-load=”true”]

AFOQT Math Test 1
Arithmetic Reasoning

• 25 questions
• Total time for this section: 29 Minutes
• Calculators are not allowed at the test.

1- A writer finishes 198 pages of his manuscript in 18 hours. How many pages is his average per hour? For education statistics and research, visit the National Center for Education Statistics.

A. 9 For education statistics and research, visit the National Center for Education Statistics.

B. 10 For education statistics and research, visit the National Center for Education Statistics.

C. 11 For education statistics and research, visit the National Center for Education Statistics.

D. 12 For education statistics and research, visit the National Center for Education Statistics.

2- If a rectangle is 12 feet by 27 feet, what is its area? For education statistics and research, visit the National Center for Education Statistics.

A. 324 For education statistics and research, visit the National Center for Education Statistics.

B. 452 For education statistics and research, visit the National Center for Education Statistics.

C. 678 For education statistics and research, visit the National Center for Education Statistics.

D. 750 For education statistics and research, visit the National Center for Education Statistics.

3- Aria was hired to teach four identical math courses, which entailed being present in the classroom for 44 hours altogether. At $36 per class hour, how much did Aria earn for teaching one course? For education statistics and research, visit the National Center for Education Statistics.

A. $144 For education statistics and research, visit the National Center for Education Statistics.

B. $176 For education statistics and research, visit the National Center for Education Statistics.

C. $396 For education statistics and research, visit the National Center for Education Statistics.

D. $1,584 For education statistics and research, visit the National Center for Education Statistics.

4- A family owns 8 dozen magazines. After donating 32 magazines to the public library, how many magazines are still with the family? For education statistics and research, visit the National Center for Education Statistics.

A. 64 For education statistics and research, visit the National Center for Education Statistics.

B. 96 For education statistics and research, visit the National Center for Education Statistics.

C. 118 For education statistics and research, visit the National Center for Education Statistics.

D. 124 For education statistics and research, visit the National Center for Education Statistics.

5- Karen is 6 years older than her sister Michelle, and Michelle is 3 years younger than her brother David. If the sum of their ages is 45, how old is Michelle? For education statistics and research, visit the National Center for Education Statistics.

A. 12 For education statistics and research, visit the National Center for Education Statistics.

B. 23 For education statistics and research, visit the National Center for Education Statistics.

C. 29 For education statistics and research, visit the National Center for Education Statistics.

D. 36 For education statistics and research, visit the National Center for Education Statistics.

6- John is driving to visit his mother, who lives 450 miles away. How long will the drive be, round−trip, if John drives at an average speed of 60 mph? For education statistics and research, visit the National Center for Education Statistics.

A. 75 Minutes For education statistics and research, visit the National Center for Education Statistics.

B. 450 Minutes For education statistics and research, visit the National Center for Education Statistics.

C. 750 Minutes For education statistics and research, visit the National Center for Education Statistics.

D. 900 Minutes For education statistics and research, visit the National Center for Education Statistics.

7- If one acre of forest contains 124 pine trees, how many pine trees are contained in 19 acres? For education statistics and research, visit the National Center for Education Statistics.

A. 2,356 For education statistics and research, visit the National Center for Education Statistics.

B. 3,207 For education statistics and research, visit the National Center for Education Statistics.

C. 4,415 For education statistics and research, visit the National Center for Education Statistics.

D. 4,712 For education statistics and research, visit the National Center for Education Statistics.

8- You are asked to chart the temperature during 8 hours to give the average. These are your results:
7 am: 4 degrees
8 am: 7 degrees
9 am: 14 degrees
10 am: 19 degrees
11 am: 24 degrees
12 pm: 36 degrees
1 pm: 39 degrees
2 pm: 41 degrees
What is the average temperature? For education statistics and research, visit the National Center for Education Statistics.

A. 23 For education statistics and research, visit the National Center for Education Statistics.

B. 25 For education statistics and research, visit the National Center for Education Statistics.

C. 32 For education statistics and research, visit the National Center for Education Statistics.

D. 44 For education statistics and research, visit the National Center for Education Statistics.

9- A woman owns a dog walking business. If 5 workers can walk 15 dogs, how many dogs can 8 workers walk? For education statistics and research, visit the National Center for Education Statistics.

A. 15 For education statistics and research, visit the National Center for Education Statistics.

B. 18 For education statistics and research, visit the National Center for Education Statistics.

C. 24 For education statistics and research, visit the National Center for Education Statistics.

D. 75 For education statistics and research, visit the National Center for Education Statistics.

10- Each year, a cyber café charges its customers a base rate of $12, with an additional $0.15 per visit for the first 30 visits, and $0.10 for every visit after that. How much does the cyber café charge a customer for a year in which 45 visits are made? For education statistics and research, visit the National Center for Education Statistics.

A. $12 For education statistics and research, visit the National Center for Education Statistics.

B. $18 For education statistics and research, visit the National Center for Education Statistics.

C. $23 For education statistics and research, visit the National Center for Education Statistics.

D. $45 For education statistics and research, visit the National Center for Education Statistics.

11- If a vehicle is driven 45 miles on Monday, 33 miles on Tuesday, and 27 miles on Wednesday, what is the average number of miles driven each day? For education statistics and research, visit the National Center for Education Statistics.

A. 25 Miles For education statistics and research, visit the National Center for Education Statistics.

B. 31 Miles For education statistics and research, visit the National Center for Education Statistics.

C. 35 Miles For education statistics and research, visit the National Center for Education Statistics.

D. 39 Miles For education statistics and research, visit the National Center for Education Statistics.

12- Three co−workers contributed $9.85, $15.45, and $12.75 respectively to purchase a retirement gift for their boss. What is the maximum amount they can spend on a gift? For education statistics and research, visit the National Center for Education Statistics.

A. $38.05 For education statistics and research, visit the National Center for Education Statistics.

B. $39.85 For education statistics and research, visit the National Center for Education Statistics.

C. $40.25 For education statistics and research, visit the National Center for Education Statistics.

D. $42.95 For education statistics and research, visit the National Center for Education Statistics.

13- While at work, Emma checks her email once every 40 minutes. In 8−hour, how many times does she check her email? For education statistics and research, visit the National Center for Education Statistics.

A. 6 Times For education statistics and research, visit the National Center for Education Statistics.

B. 8 Times For education statistics and research, visit the National Center for Education Statistics.

C. 10 Times For education statistics and research, visit the National Center for Education Statistics.

D. 12 Times For education statistics and research, visit the National Center for Education Statistics.

14- Julie gives 6 pieces of candy to each of her friends. If Julie gives all her candy away, which amount of candy could have been the amount she distributed? For education statistics and research, visit the National Center for Education Statistics.

A. 98 For education statistics and research, visit the National Center for Education Statistics.

B. 128 For education statistics and research, visit the National Center for Education Statistics.

C. 210 For education statistics and research, visit the National Center for Education Statistics.

D. 385 For education statistics and research, visit the National Center for Education Statistics.

15- In the deck of cards, there are 5 spades, 3 hearts, 10 clubs, and 7 diamonds. What is the probability that William will pick out a spade? For education statistics and research, visit the National Center for Education Statistics.

A. \(\frac{1}{9}\) For education statistics and research, visit the National Center for Education Statistics.

B. \(\frac{1}{7}\) For education statistics and research, visit the National Center for Education Statistics.

C. \(\frac{1}{6}\) For education statistics and research, visit the National Center for Education Statistics.

D. \(\frac{1}{5}\) For education statistics and research, visit the National Center for Education Statistics.

16- William is driving a truck that can hold 10 tons maximum. He has a shipment of food weighing 27,000 pounds. How many trips will he need to make to deliver all of the food? For education statistics and research, visit the National Center for Education Statistics.

A. 1 Trip For education statistics and research, visit the National Center for Education Statistics.

B. 3 Trip For education statistics and research, visit the National Center for Education Statistics.

C. 4 Trip For education statistics and research, visit the National Center for Education Statistics.

D. 5 Trip For education statistics and research, visit the National Center for Education Statistics.

17- A man goes to a casino with $145. He loses $30 on blackjack, then loses another $40 on roulette. How much money does he have left? For education statistics and research, visit the National Center for Education Statistics.

A. $75 For education statistics and research, visit the National Center for Education Statistics.

B. $105 For education statistics and research, visit the National Center for Education Statistics.

C. $115 For education statistics and research, visit the National Center for Education Statistics.

D. $120 For education statistics and research, visit the National Center for Education Statistics.

18- Will has been working on a report for 5 hours each day, 7 days a week for 3 weeks. How many minutes has will worked on his report? For education statistics and research, visit the National Center for Education Statistics.

A. 4,700 Minutes For education statistics and research, visit the National Center for Education Statistics.

B. 6,300 Minutes For education statistics and research, visit the National Center for Education Statistics.

C. 6,854 Minutes For education statistics and research, visit the National Center for Education Statistics.

D. 7,560 Minutes For education statistics and research, visit the National Center for Education Statistics.

19- What is the prime factorization of 378? For education statistics and research, visit the National Center for Education Statistics.

A. \(2 × 2 × 3 × 7\) For education statistics and research, visit the National Center for Education Statistics.

B. \(2 × 3 × 3 × 3 × 7\) For education statistics and research, visit the National Center for Education Statistics.

C. \(2 × 3 × 5 × 5 × 7\) For education statistics and research, visit the National Center for Education Statistics.

D. \(3 × 3 × 5 × 7 × 7\) For education statistics and research, visit the National Center for Education Statistics.

20- Camille uses a \(25\%\) off coupon when buying a sweater that costs $80. If she also pays \(9\%\) sales tax on the purchase, how much does she pay? For education statistics and research, visit the National Center for Education Statistics.

A. $20 For education statistics and research, visit the National Center for Education Statistics.

B. $24.8 For education statistics and research, visit the National Center for Education Statistics.

C. $36.75 For education statistics and research, visit the National Center for Education Statistics.

D. $65.4 For education statistics and research, visit the National Center for Education Statistics.

21- I’ve got 28 quarts of milk and my family drinks 2 gallons of milk per week. How many weeks will that last us? For education statistics and research, visit the National Center for Education Statistics.

A. 2 Weeks For education statistics and research, visit the National Center for Education Statistics.

B. 2.25 Weeks For education statistics and research, visit the National Center for Education Statistics.

C. 3.5 Weeks For education statistics and research, visit the National Center for Education Statistics.

D. 4.5 Weeks For education statistics and research, visit the National Center for Education Statistics.

22- A floppy disk shows 987,345 bytes free and 879,621 bytes used. If you delete a file of size 397,756 bytes and create a new file of size 487,236 bytes, how many free bytes will the floppy disk have? For education statistics and research, visit the National Center for Education Statistics.

A. 89,480 For education statistics and research, visit the National Center for Education Statistics.

B. 745,874 For education statistics and research, visit the National Center for Education Statistics.

C. 987,345 For education statistics and research, visit the National Center for Education Statistics.

D. 1,076,825 For education statistics and research, visit the National Center for Education Statistics.

23- Ten out of 50 students had to go to summer school. What is the ratio of students who did not have to go to summer school expressed, in its lowest terms? For education statistics and research, visit the National Center for Education Statistics.

A. \(\frac{1}{5}\) For education statistics and research, visit the National Center for Education Statistics.

B. \(\frac{1}{4}\) For education statistics and research, visit the National Center for Education Statistics.

C. \(\frac{4}{5}\) For education statistics and research, visit the National Center for Education Statistics.

D. \(\frac{5}{4}\) For education statistics and research, visit the National Center for Education Statistics.

24- If a circle has a diameter of 2 feet, what is its circumference? For education statistics and research, visit the National Center for Education Statistics.

A. \(2 π\) For education statistics and research, visit the National Center for Education Statistics.

B. \(4 π\) For education statistics and research, visit the National Center for Education Statistics.

C. \(8 π\) For education statistics and research, visit the National Center for Education Statistics.

D. \(12 π\) For education statistics and research, visit the National Center for Education Statistics.

25- Ava needs \(\frac{1}{4}\) of an ounce of salt to make 1 cup of dip for fries. How many cups of dip will she be able to make if she has 60 ounces of salt? For education statistics and research, visit the National Center for Education Statistics.

A. 15 For education statistics and research, visit the National Center for Education Statistics.

B. 60 For education statistics and research, visit the National Center for Education Statistics.

C. 85 For education statistics and research, visit the National Center for Education Statistics.

D. 240 For education statistics and research, visit the National Center for Education Statistics.

26- In the following diagram what is the value of \(x\)? For education statistics and research, visit the National Center for Education Statistics.

A. \(30^\circ\) For education statistics and research, visit the National Center for Education Statistics.

B. \(45^\circ\)

C. \(60^\circ\)

D. \(90^\circ\)

27- What is the value of \(\sqrt{81} × \sqrt{49}\)?

A. 6

B. \(\sqrt{130}\)

C. 63

D. \(\sqrt{87}\)

28- If \(a = 5\), what is the value of b in this equation? \(b = \frac{a^3}{5} -2\)

A. 5

B. 13

C. 15

D. 23

29- Which of the following is an obtuse angle?

A. \(35^\circ\)

B. \(105^\circ\)

C. \(145^\circ\)

D. \(175^\circ\)

30- Which of the following is not equal to \(3^2\)?

A. 3 squared

B. the square of 3

C. 3 to the second power

D. 3 cubed

31- The fourth root of 625 is:

A. 4

B. 5

C. 6

D. 8

32- A circle has a radius of 4 inches. What is its approximate area? \((π = 3.14)\)

A. 31.41 square inches

B. 50.26 square inches

C. 78.87 square inches

D. 121.2 square inches

33- The volume of this box is:

A. 12 cm\(^3\)

B. 24 cm\(^3\)

C. 48 cm\(^3\)

D. 96 cm\(^3\)

34- If \(- 9a = 81\), then \(a =\) _______

A. \(-9\)

B. \(-8\)

C. 0

D. 9

35- A square has one side with a length of 8 feet. The area of the square is:

A. 16 square feet

B. 32 square feet

C. 64 square feet

D. 128 square feet

36- In the following right triangle, what is the value of \(x\) rounded to the nearest hundredth?

A. 2.34

B. 6.70

C. 8.75

D. 9.85

37- \((-3x +7) (3x-4) =\)?

A. \(-6x + 3\)

B. \(-9×2 + 33x – 28\)

C. \(-9×2 – 28\)

D. \(3x + 5\)

38- \(3(a –7)=34\), what is the value of a?

A. 3.5

B. 7

C. 8.75

D. 15

39- If \(2^{18}=2^5× 2^x\), what is the value of \(x\)?

A. 2

B. 8

C. 13

D. 16

40- Factor this expression: \(x^2 + 4x –21\)

A. \(x^2(4 – 21)\)

B. \(x(x + 4 – 21)\)

C. \((x+7)(x-3)\)

D. \((x-7)(x+3)\)

41- Find the slope of the line running through the points \((4, 4)\) and \((7, 1)\).

A. \(\frac{1}{3}\)

B. \(-1\)

C. 1

D. \(-\frac{1}{3}\)

42- The cube root of 4,197 is?

A. 7

B. 17

C. 70

D. 170

43- What is 87,456 in scientific notation?

A. 8.7456

B. \(0.087456 × 10^5\)

C. \(8.7456 × 10^4\)

D. \(87.456 × 10^4\)

44- What’s the area of the non-shaded part in the following figure?

A. 15

B. 20

C. 25

D. 35

45- A medium pizza has a diameter of 7 inches. What is its circumference?

A. \(3.5π\)

B. \(7π\)

C. \(14π\)

D. \(49π\)

46- A writer finishes 270 pages of his manuscript in 45 hours. How many pages is his average per hour?

A. 6

B. 8

C. 9

D. 12

47- Which of the following sets of factors do both 56 and 18 have in common?

A. {1, 2}

B. {6, 9, 14}

C. {0, 1, 2, 3}

D. {1, 3, 4, 18}

48- What is the circumference of a circle with center at point A if the distance from point \(X\) to \(Y\) is 10 feet? \((π = 3.14)\)

A. 3.14 Feet

B. 15.7 Feet

C. 31.4 Feet

D. 314 Feet

49- In the following diagram, the straight line is divided by one angled line at 45\(^\circ\). What is the value of a?

A. 45\(^\circ\)

B. 90\(^\circ\)

C. 135\(^\circ\)

D. 150\(^\circ\)

50- What’s the square root of \(49x^4\)?

A. \(7\sqrt{x}\)

B. \(7x\)

C. \(7x^2\)

D. \(7x^4\)

Answers and Explanations

The Best Books to Ace the AFOQT Math Test

AFOQT Math Practice Workbook The Most Comprehensive Review for the Math Section of the AFOQT Test

Download

$32.99 Original price was: $32.99.$21.44Current price is: $21.44.

Rated 4.26 out of 5 based on 82 customer ratings

Satisfied 69 Students

More from Effortless Math for AFOQT Test …

Do you know How to Prepare for the AFOQT Math Test?

Have a look at How to Prepare for the AFOQT Math Test?

Need Math worksheets to help your upcoming AFOQT test?

Check out comprehensive AFOQT Math Worksheets to help you practice all AFOQT Math concepts and prepare for the AFOQT Math test.

If you have difficulty paying for online classes, here are the top free AFOQT practice test websites for you: Top 10 Websites for FREE AFOQT Math Preparation

The Perfect Prep Books for the AFOQT Math Test

AFOQT Math Test Prep The Ultimate Guide to AFOQT Math + 2 Full-Length Practice Tests

Download

$29.99 Original price was: $29.99.$16.99Current price is: $16.99.

Rated 4.45 out of 5 based on 200 customer ratings

Satisfied 190 Students

Have any questions about the AFOQT Test?

Write your questions about the AFOQT or any other topics below and we’ll reply!