FREE ASVAB Arithmetic Reasoning Practice Test
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 Based on 2023 Armed Forces Qualifications Test
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Question 1 of 50
1. Question
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
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Question 2 of 50
2. Question
Simplify √50
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Question 3 of 50
3. Question
What is 2√112 + 6√7
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Question 4 of 50
4. Question
A triathlon course includes a 400m swim, a 40.8km bike ride, and a 3.3km run. What is the total length of the race course?
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Question 5 of 50
5. Question
What is 1/9 ÷ 1/9?
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Question 6 of 50
6. Question
If a=7, which of the following best describes a?
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Question 7 of 50
7. Question
Which of the following is an improper fraction?
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Question 8 of 50
8. Question
Which of the following is not an integer?
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Question 9 of 50
9. Question
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 35 large cakes and 360 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
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Question 10 of 50
10. Question
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
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Question 11 of 50
11. Question
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 11 small cakes per hour. The kitchen is available for 4 hours and 37 large cakes and 210 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
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Question 12 of 50
12. Question
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
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Question 13 of 50
13. Question
Which of the following is not an integer?
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Question 14 of 50
14. Question
The __________ is the smallest positive integer that is a multiple of two or more integers.
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Question 15 of 50
15. Question
What is √25/64?
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Question 16 of 50
16. Question
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
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Question 17 of 50
17. Question
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
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Question 18 of 50
18. Question
In a class of 24 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
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Question 19 of 50
19. Question
What is 1/6 x 4/8?
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Question 20 of 50
20. Question
What is 5/3 + 2/7?
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Question 21 of 50
21. Question
What is 2b^{3} x 3b^{4}?
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Question 22 of 50
22. Question
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
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Question 23 of 50
23. Question
In a class of 35 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
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Question 24 of 50
24. Question
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 35% off.” If Bob buys two shirts, each with a regular price of $28, how much will he pay for both shirts?
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Question 25 of 50
25. Question
What is 4/8 ÷ 2/6?
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Question 26 of 50
26. Question
Ezra loaned Christine $1,100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
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Question 27 of 50
27. Question
Solve for 5!/3!
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Question 28 of 50
28. Question
The __________ is the smallest positive integer that is a multiple of two or more integers.
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Question 29 of 50
29. Question
If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?
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Question 30 of 50
30. Question
If a car travels 240 miles in 6 hours, what is the average speed?
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Question 31 of 50
31. Question
What is 4/6 + 4/10?
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Question 32 of 50
32. Question
Convert b^{2} to remove the negative exponent.
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Question 33 of 50
33. Question
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
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Question 34 of 50
34. Question
How many hours does it take a car to travel 65 miles at an average speed of 65 miles per hour?
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Question 35 of 50
35. Question
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 30% off.” If Alex buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
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Question 36 of 50
36. Question
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 350 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
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Question 37 of 50
37. Question
What is 6√75 – 2√3
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Question 38 of 50
38. Question
What is 8b8/2b2?
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Question 39 of 50
39. Question
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
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Question 40 of 50
40. Question
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 5% off.” If Monty buys two shirts, each with a regular price of $25, how much money will he save?
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Question 41 of 50
41. Question
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.
How many errorfree parts did the machine produce yesterday?
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Question 42 of 50
42. Question
a(b + c) = ab + ac defines which of the following?
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Question 43 of 50
43. Question
Which of the following statements about exponents is false?
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Question 44 of 50
44. Question
What is 3/6 – 7/10?
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Question 45 of 50
45. Question
Simplify √18
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Question 46 of 50
46. Question
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
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Question 47 of 50
47. Question
How many 12passenger vans will it take to drive all 56 members of the football team to an away game?
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Question 48 of 50
48. Question
How many hours does it take a car to travel 100 miles at an average speed of 20 miles per hour?
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Question 49 of 50
49. Question
What is the distance in miles of a trip that takes 9 hours at an average speed of 15 miles per hour?
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Question 50 of 50
50. Question
Betty scored 92% on her final exam. If each question was worth 2 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
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