Home » Arithmetic Reasoning Practice Test
FREE ASVAB Arithmetic Reasoning Practice Test
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 Based on 2021 Armed Forces Qualifications Test
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Question 1 of 50
1. Question
Karen is 6 years older than her sister Michelle, and Michelle is 2 years younger than their brother David. If the sum of their ages is 62, how old is Michelle?
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Question 2 of 50
2. Question
A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
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Question 3 of 50
3. Question
Camille uses a 20% off coupon when buying a sweater that costs $47.99. If she also pays 6% sales tax on the purchase, how much does she pay?
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Question 4 of 50
4. Question
At Michael’s smoothie shop smoothies cost $3.50 during the week and $4.00 on weekends. If Jonathan bought a smoothie every day except Saturday how much did he spend on smoothies that week?
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Question 5 of 50
5. Question
In a classroom of 32 students, 14 are male. What percentage of the class is female?
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Question 6 of 50
6. Question
Cory’s average score after 8 tests is 91%. If he gets a 78% on his 9th test, what will his new average be?
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Question 7 of 50
7. Question
Julie gives 7 pieces of candy to each of her friends. If Julie gives all of her candy away, which amount of candy could have been the amount she distributed?
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Question 8 of 50
8. Question
Four out of 28 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?
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Question 9 of 50
9. Question
If doughnuts are usually 75 cents each, but there is a sale on Friday advertising them as 1 dozen + half a dozen for $10.80, what is the new cost for just one?
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Question 10 of 50
10. Question
A cross country coach just announced that, by the end of the quarter, all students should run the 10 miles in less than 70 minutes. There are 15 students in the group.
6 of them ran 10 miles in 1 hour + 5 minutes
4 of them ran 10 miles in 1 hour + 3 minutes
2 of them ran 10 miles in 1 hour + 9 minutes
3 of them ran 10 miles in 1 hour and 10 minutes.
How many students made the goal?
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Question 11 of 50
11. Question
You just went on a blind date and wanted to impress the girl by adding an 18% tip to the total cost of the meal. Two entrees came to a total of $35.90. The total for desserts came to $7.50 and the beverage total cost was $6.60. What is the 18% tip going to cost?
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Question 12 of 50
12. Question
You are asked to buy bags of cement to pour a cement pad for a hot tub. You need to fill the pad frame which has an 8foot square base and onefoot high sides. Each bag of cement mixed will fill 5 cubic feet in the frame. How many bags will you need to buy to ensure enough to fill the entire frame?
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Question 13 of 50
13. Question
You are asked to chart the temperature during an 8 hour period to give the average. These are your results:
7am : negative 10 degrees
8am: 0 degrees
9 am: 30 degrees
10 am: 36 degrees
11 am: 40 degrees
12 pm: 42 degrees
1pm: 42 degrees
2 pm: 41 degrees
What is the average temperature?
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Question 14 of 50
14. Question
Your uncle passed away and left you and your siblings his private property. He owned a 180 acre ranch and there are 3 of you. Each acre is valued at approximately $3,000. This means the monetary value for each sibling will be:
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Question 15 of 50
15. Question
You are planning your vacation and trying to figure out the total number of miles you will be traveling on a round trip from Portland, Oregon to Denver, Colorado, and back to Portland, Oregon. The scale for the map you are consulting shows that 1 inch = 4 miles. Measuring, you find that you will be traveling 314 1/2 inches for the oneway trip. What is the total number of miles you will be traveling during the entire round trip?
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Question 16 of 50
16. Question
Pete and his partner Mike made a huge profit in their software business together this year and have decided to use $20,000 of the profit for a Christmas donation to their favorite charities. Using the investment ratio each of them contributed to starting the business, Pete invested the most with 4:1 ratio to Mike. How much money will Mike get to donate to his charity?
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Question 17 of 50
17. Question
What is the sixth number in the series: 3,6,12,24 ?
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Question 18 of 50
18. Question
At boarding school, students spend 1/4 of their time eating and sleeping, 3/5 of their time in class, and 1/12 studying. The rest of the time is considered free time, which the student can spend doing activities of their own choosing. What fraction is considered free time?
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Question 19 of 50
19. Question
You just priced what it would cost to buy vinyl floor tiles at the local tile store. They quoted you $3.29 per tile. When you went home, you found the same tile for sale at an online outlet for $2.89 per tile. As a percentage, how much more expensive is the tile store’s quote?
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Question 20 of 50
20. Question
Susan went to the Spa and got a manicure for $25.00, a pedicure for $28.75 and a massage for $60.00. She tipped a total of $8.50. What is the total Susan spent at the Spa?
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Question 21 of 50
21. Question
Steve is mailing a small package. Postage rates are: $0.46 for the first ounce and $0.20 for each additional ounce. The UPS store is offering a special for $3.45 on a small box if your items fit, the weight not being a factor.
Which of the following weights would make it cheaper for Steve to ship his package by the post office rather than by UPS?
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Question 22 of 50
22. Question
Mike’s motorcycle stalled at the beach and he called the towing company. They charged him $4.75 per mile for the first 25 miles and then $5.25 per mile for each mile over 25. Mike was 29 miles from the motorcycle repair shop. How much was Mike’s towing bill?
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Question 23 of 50
23. Question
The sum of two numbers is 84. One number is 6 more than the other. What is the smaller of the two numbers?
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Question 24 of 50
24. Question
The grocery store orders ibuprofen in bottles by the gross. The first day after stocking the shelves with a new shipment they sold 5 bottles. The next day they sold 8 and the third day, 7. How many bottles remain from the original order?
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Question 25 of 50
25. Question
Cindy’s test scores on her first five finals were: 90, 92, 98, 96, and 94. In order for Cindy to keep her scholarship she needs to maintain a finals’ average of 94 or higher. Which of these scores on her sixth test (the final) will guarantee her average of 94 or higher?
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Question 26 of 50
26. Question
A waiter earns $11.00 an hour and approximately 10% of what he serves in a shift. If he works a 6 hour shift and takes $425.00 in orders, his total earnings for the six hours would be ____.
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Question 27 of 50
27. Question
How many square feet of tile is needed for a 24 foot x 24 foot room?
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Question 28 of 50
28. Question
John is going to waterproof his carpeting which is 18 feet x 24 feet. The rate is 57 cents per square foot to apply the waterproofing solution. John’s total cost will be ____.
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Question 29 of 50
29. Question
A pen factory has a monthly overhead of $5,000. It costs them 21 cents to make a pen and they sell each pen for 99 cents.
How many pens will they need to sell each month in order to start making a profit?
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Question 30 of 50
30. Question
You are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise. What is your new hourly rate?
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Question 31 of 50
31. Question
You just left for vacation 2 hours ago. You have driven about 50 miles per hour on the 2lane road and take an exit to get dinner. You call your Dad to check in. Your Dad has decided to join you after initially turning down your invitation.
How long will you have to wait for him if he drives 40 miles per hour?
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Question 32 of 50
32. Question
A pizzeria caters parties and just finished baking 60 pizzas. The church youth group just picked up their order of 1/4 of the pizzas baked. A school graduation party is picking up 1/3 of the pizzas baked. A martial arts club stopped in and bought 1/20 of the pizzas baked.
How many pizzas are left of the 60 that were baked?
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Question 33 of 50
33. Question
Jill bought 2 cases of computer paper (10 reams per case) on sale for $85.00. The regular rate is: 1 case = $52.50. What was her savings amount on the cost of each ream?
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Question 34 of 50
34. Question
You take your dog for a walk in the evenings and it takes about 25 minutes to walk 8 city blocks. If you decide to do a “marathon walk” of 32 city blocks on a Saturday, how many minutes will it take you to complete this?
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Question 35 of 50
35. Question
School enrollments have fluctuated quite a bit in Oregon this year. The state department of education predicted there would be 300,000 students enrolled statewide. The enrollment ended up being 375,000. How much of a percentage increase over the projected amount is this?
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Question 36 of 50
36. Question
You’re applying for a job that has a skills test requirement. In order to pass you need to get 48 of the 55 questions correct. What percent of the questions do you need to answer correctly?
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Question 37 of 50
37. Question
You just started a retirement fund by depositing $7,000 in an account. The annual interest rate for an account with an “early withdrawal” penalty is 5.75%. How much money will you have in your account if you leave it for 2 years?
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Question 38 of 50
38. Question
You’re getting in shape for a marathon and are going to use the local school track to build up to more mileage. The track measures one quarter mile around. If you ran 18 laps, how many miles would this be?
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Question 39 of 50
39. Question
You just drove 280 miles and it took you approximately 5 hours. How many miles per hour was your average speed?
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Question 40 of 50
40. Question
You work in a hospital and make $15.28 per hour for a 40 hour a week. If you work the night shift you get a slight differential added at $2.32 per hour worked during this shift. You just completed your first week and worked 34 hours on a regular shift and 6 hours on the night shift. What is the total amount you earned this week?
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Question 41 of 50
41. Question
Your local library branch has 28 employees and currently provides approximately 48 square feet per employee for a work station. The library just hired 2 new employees. To make room to add these 2 new people, each employee’s work station will be reduced to about:
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Question 42 of 50
42. Question
Tom has been saving for a new car and finally has the money to make the deal. He put down $3,800 and will be paying $325 a month for 5.5 years. What is the total cost of his purchase?
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Question 43 of 50
43. Question
Eight girls in a club are comparing their weekly allowance. Jan and Sue each receive $10 a week. Lori and Tina each receive $5 a week. Julie, Christie and Faith each receive $12 a week. Cheryl does not get an allowance but her parents often buy her things as she needs them. What is the average amount of allowance given among these 8 girls?
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Question 44 of 50
44. Question
The distance between cities A and B is approximately 1,800 miles. If you drive an average of 55 miles per hour, how many hours will it take you to drive from city A to city B?
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Question 45 of 50
45. Question
You are hosting a graduation party and you need 32 gallons of lemonade. Which is the best buy?
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Question 46 of 50
46. Question
Chris is driving a truck that can hold 4 tons maximum. He has a shipment of food weighing 26,000 pounds. How many trips will he need to make to deliver all of the food?
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Question 47 of 50
47. Question
Two monorails depart their respective stations at the same time. The monorail headed south is traveling 65 miles an hour, while the monorail headed north is traveling 55 miles per hour. Given this information, how many miles will both monorails travel in 4 hours?
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Question 48 of 50
48. Question
Your new remodel is almost done. The contractor needs to put the final framing on and needs 8 sections, measuring 4 feet, 2 inches each. The framing is available from the supplier by 10foot lengths only. What is the total length of the lumber that needs to be purchased?
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Question 49 of 50
49. Question
You just bought 4 takeout Mexican dinners. They were priced $14.96, $14.96, $15.75, and $17.85. You had a coupon to “buy one, get a second one for halfprice on all items that are the same price.” (Only 1 coupon per purchase allowed). What is the total amount you paid?
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Question 50 of 50
50. Question
Bob just got hired for ontheroad sales and will travel about 1,500 miles a week during a 40 hour work week. If the time spent traveling is 2/3 of his week, how many hours a week will he be on the road?
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