Brainscape's Knowledge GenomeTM


Top Flashcards (Certified)
All Flashcards

ASVAB Flashcards by Elite Minds > ASVAB Arithmetic Reasoning (AR) > Flashcards

ASVAB Arithmetic Reasoning (AR) Flashcards

(109 cards)

Start Studying
1
Q

Q: A car travels 240 miles in 4 hours. What is its average speed in miles per hour?

A

A: 60 mph. Speed = Distance ÷ Time = 240 ÷ 4 = 60 mph

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

Q: If 25% of a number is 80, what is the number?

A

A: 320. Let x be the number. 0.25x = 80, so x = 80 ÷ 0.25 = 320

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

Q: What is 3/4 + 2/3?

A

A: Find a common denominator: (3/4 = 9/12), (2/3 = 8/12), so 9/12 + 8/12 = 17/12 or 1 5/12

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

Q: Solve for x: 3x + 7 = 22

A

A: x = 5. Subtract 7 from both sides: 3x = 15, then divide by 3: x = 5

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

Q: What is the area of a rectangle with length 12 feet and width 8 feet?

A

A: 96 square feet. Area = length × width = 12 × 8 = 96 sq ft

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

Q: A shirt costs $45 and is on sale for 20% off. What is the sale price?

A

A: $36. Discount = $45 × 0.20 = $9. Sale price = $45 - $9 = $36

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

Q: If 5 workers can complete a job in 8 hours, how long will it take 10 workers?

A

A: 4 hours. Total work = 5 × 8 = 40 worker-hours. Time = 40 ÷ 10 = 4 hours

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

Q: What is 0.75 as a fraction in lowest terms?

A

A: 3/4. 0.75 = 75/100 = 3/4 (divide numerator and denominator by 25)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

Q: The perimeter of a square is 36 inches. What is its area?

A

A: 81 square inches. Side length = 36 ÷ 4 = 9 inches. Area = 9² = 81 sq in

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

Q: A train travels 180 miles in 3 hours. At this rate, how far will it travel in 5 hours?

A

A: 300 miles. Speed = 180 ÷ 3 = 60 mph. Distance = 60 × 5 = 300 miles

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

Q: What is 40% of 250?

A

A: 100. 40% of 250 = 0.40 × 250 = 100

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

Q: Solve: 2x - 5 = 11

A

A: x = 8. Add 5 to both sides: 2x = 16, then divide by 2: x = 8

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

Q: What is the circumference of a circle with radius 7 inches? (Use π = 3.14)

A

A: 43.96 inches. Circumference = 2πr = 2 × 3.14 × 7 = 43.96 inches

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

Q: A recipe calls for 2 1/4 cups of flour. How much flour is needed for 3 recipes?

A

A: 6 3/4 cups. 2 1/4 × 3 = 9/4 × 3 = 27/4 = 6 3/4 cups

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Q: What is 2³ × 3²?

A

A: 72. 2³ = 8 and 3² = 9, so 8 × 9 = 72

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

Q: A right triangle has legs of 3 and 4 units. What is the length of the hypotenuse?

A

A: 5 units. Using Pythagorean theorem: c² = 3² + 4² = 9 + 16 = 25, so c = 5

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
17
Q

Q: If a gallon of paint covers 350 square feet, how many gallons are needed for 1,050 square feet?

A

A: 3 gallons. 1,050 ÷ 350 = 3 gallons

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
18
Q

Q: What is 15% of 120?

A

A: 18. 15% of 120 = 0.15 × 120 = 18

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
19
Q

Q: A box contains 24 apples. If 1/3 are red and the rest are green, how many are green?

A

A: 16 apples. Red apples = 24 × 1/3 = 8. Green apples = 24 - 8 = 16

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
20
Q

Q: What is the volume of a cube with side length 4 inches?

A

A: 64 cubic inches. Volume = side³ = 4³ = 64 cubic inches

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
21
Q

Q: A bicycle wheel has a diameter of 26 inches. What is its radius?

A

A: 13 inches. Radius = diameter ÷ 2 = 26 ÷ 2 = 13 inches

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
22
Q

Q: If x + 12 = 20, what is x?

A

A: x = 8. Subtract 12 from both sides: x = 20 - 12 = 8

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
23
Q

Q: What is 7/8 - 1/2?

A

A: 3/8. Convert to common denominator: 7/8 - 4/8 = 3/8

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
24
Q

Q: A store sells 480 items in 8 hours. What is the average number of items sold per hour?

A

A: 60 items per hour. 480 ÷ 8 = 60 items per hour

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
25
Q: What is 125% of 80?
A: 100. 125% of 80 = 1.25 × 80 = 100
26
Q: The area of a triangle is 30 square feet and its base is 10 feet. What is its height?
A: 6 feet. Area = (1/2) × base × height, so 30 = (1/2) × 10 × h, therefore h = 6
27
Q: A car uses 15 gallons of gas to travel 450 miles. How many miles per gallon does it get?
A: 30 mpg. Miles per gallon = 450 ÷ 15 = 30 mpg
28
Q: What is 0.6 × 0.8?
A: 0.48. 0.6 × 0.8 = 0.48
29
Q: If 3y = 21, what is y?
A: y = 7. Divide both sides by 3: y = 21 ÷ 3 = 7
30
Q: A bag contains 12 red balls and 18 blue balls. What is the ratio of red to blue balls?
A: 2:3. Red to blue = 12:18 = 2:3 (divide both by 6)
31
Q: What is the square root of 144?
A: 12. √144 = 12 because 12² = 144
32
Q: A pizza is cut into 8 equal slices. If 3 slices are eaten, what fraction remains?
A: 5/8. Remaining slices = 8 - 3 = 5, so fraction = 5/8
33
Q: What is 4.5 ÷ 0.5?
A: 9. 4.5 ÷ 0.5 = 45 ÷ 5 = 9
34
Q: A rectangle has width 6 cm and area 48 cm². What is its length?
A: 8 cm. Area = length × width, so 48 = length × 6, therefore length = 8
35
Q: If a dozen eggs cost $3.60, what is the cost per egg?
A: $0.30. Cost per egg = $3.60 ÷ 12 = $0.30
36
Q: What is 2/5 of 45?
A: 18. 2/5 × 45 = (2 × 45) ÷ 5 = 90 ÷ 5 = 18
37
Q: A ladder 13 feet long leans against a wall. If the base is 5 feet from the wall, how high up the wall does it reach?
A: 12 feet. Using Pythagorean theorem: height² + 5² = 13², so height² = 169 - 25 = 144, height = 12
38
Q: What is 3.2 + 1.75?
A: 4.95. 3.2 + 1.75 = 4.95
39
Q: If 8 pencils cost $2.40, what is the cost of 12 pencils?
A: $3.60. Cost per pencil = $2.40 ÷ 8 = $0.30. Cost of 12 = 12 × $0.30 = $3.60
40
Q: What is 6! (6 factorial)?
A: 720. 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
41
Q: A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. What is its volume?
A: 500 cubic meters. Volume = length × width × depth = 25 × 10 × 2 = 500 m³
42
Q: If 30% of students passed a test and 21 students passed, how many students took the test?
A: 70 students. Let x = total students. 0.30x = 21, so x = 21 ÷ 0.30 = 70
43
Q: What is 5/6 × 3/4?
A: 5/6 × 3/4 = (5×3)/(6×4) = 15/24 = 5/8
44
Q: A train leaves at 2:30 PM and arrives at 5:15 PM. How long was the trip?
A: 2 hours 45 minutes. From 2:30 PM to 5:15 PM is 2 hours 45 minutes
45
Q: What is 8² - 3²?
A: 55. 8² = 64, 3² = 9, so 64 - 9 = 55
46
Q: If a = 4 and b = 3, what is 2a + 3b?
A: 17. 2a + 3b = 2(4) + 3(3) = 8 + 9 = 17
47
Q: A circular garden has a radius of 8 feet. What is its area? (Use π = 3.14)
A: 200.96 square feet. Area = πr² = 3.14 × 8² = 3.14 × 64 = 200.96 sq ft
48
Q: What is 12 ÷ 3/4?
A: 16. 12 ÷ 3/4 = 12 × 4/3 = 48/3 = 16
49
Q: A car's value depreciates 15% per year. If it's worth $20,000 now, what will it be worth next year?
A: $17,000. Depreciation = $20,000 × 0.15 = $3,000. New value = $20,000 - $3,000 = $17,000
50
Q: What is the mean of 5, 8, 12, 15, and 20?
A: 12. Mean = (5 + 8 + 12 + 15 + 20) ÷ 5 = 60 ÷ 5 = 12
51
Q: If 4x - 3 = 17, what is x?
A: x = 5. Add 3 to both sides: 4x = 20, then divide by 4: x = 5
52
Q: A bag contains 5 red marbles and 7 blue marbles. What is the probability of drawing a red marble?
A: 5/12. Total marbles = 5 + 7 = 12. Probability = 5/12
53
Q: What is 0.25 × 80?
A: 20. 0.25 × 80 = 20
54
Q: The perimeter of a rectangle is 28 cm and its width is 6 cm. What is its length?
A: 8 cm. Perimeter = 2(length + width), so 28 = 2(length + 6), therefore length = 8
55
Q: What is 3 1/3 + 2 1/6?
A: 5 1/2. Convert to improper fractions: 10/3 + 13/6 = 20/6 + 13/6 = 33/6 = 5 1/2
56
Q: A worker earns $12 per hour. How much does he earn in 37.5 hours?
A: $450. $12 × 37.5 = $450
57
Q: What is 15% of 200?
A: 30. 15% of 200 = 0.15 × 200 = 30
58
Q: If the ratio of boys to girls in a class is 3:5 and there are 24 students total, how many are boys?
A: 9 boys. Total ratio parts = 3 + 5 = 8. Boys = (3/8) × 24 = 9
59
Q: What is √81?
A: 9. √81 = 9 because 9² = 81
60
Q: A rectangular prism has length 6 cm, width 4 cm, and height 3 cm. What is its volume?
A: 72 cubic cm. Volume = length × width × height = 6 × 4 × 3 = 72 cm³
61
Q: If 2/3 of a number is 18, what is the number?
A: 27. Let x be the number. (2/3)x = 18, so x = 18 × 3/2 = 27
62
Q: A store marks up items 40% above cost. If an item costs $50, what is the selling price?
A: $70. Markup = $50 × 0.40 = $20. Selling price = $50 + $20 = $70
63
Q: What is 9 × 0.7?
A: 6.3. 9 × 0.7 = 6.3
64
Q: If y - 7 = 15, what is y?
A: y = 22. Add 7 to both sides: y = 15 + 7 = 22
65
Q: A triangle has angles of 45°, 60°, and what third angle?
A: 75°. Sum of angles in a triangle = 180°. Third angle = 180° - 45° - 60° = 75°
66
Q: What is 7/12 - 1/4?
A: 1/3. Convert to common denominator: 7/12 - 3/12 = 4/12 = 1/3
67
Q: A plane flies 540 miles in 1.5 hours. What is its speed?
A: 360 mph. Speed = Distance ÷ Time = 540 ÷ 1.5 = 360 mph
68
Q: What is 35% of 160?
A: 56. 35% of 160 = 0.35 × 160 = 56
69
Q: If 6 oranges cost $4.50, what is the cost of 10 oranges?
A: $7.50. Cost per orange = $4.50 ÷ 6 = $0.75. Cost of 10 = 10 × $0.75 = $7.50
70
Q: What is 2.5²?
A: 6.25. 2.5² = 2.5 × 2.5 = 6.25
71
Q: A cylinder has radius 3 cm and height 8 cm. What is its volume? (Use π = 3.14)
A: 226.08 cubic cm. Volume = πr²h = 3.14 × 3² × 8 = 3.14 × 9 × 8 = 226.08 cm³
72
Q: What is 18 ÷ 2/3?
A: 27. 18 ÷ 2/3 = 18 × 3/2 = 54/2 = 27
73
Q: A number increased by 25% becomes 75. What was the original number?
A: 60. Let x be the original number. x + 0.25x = 75, so 1.25x = 75, therefore x = 60
74
Q: What is the median of 3, 7, 12, 18, 21?
A: 12. The median is the middle value when arranged in order: 12
75
Q: If 5x + 2 = 32, what is x?
A: x = 6. Subtract 2 from both sides: 5x = 30, then divide by 5: x = 6
76
Q: A bag contains 8 white balls and 12 black balls. What is the probability of drawing a white ball?
A: 2/5. Total balls = 8 + 12 = 20. Probability = 8/20 = 2/5
77
Q: What is 1.6 × 2.5?
A: 4. 1.6 × 2.5 = 4
78
Q: The area of a parallelogram is 84 square units and its base is 12 units. What is its height?
A: 7 units. Area = base × height, so 84 = 12 × height, therefore height = 7
79
Q: What is 4/5 ÷ 2/3?
A: 6/5 or 1 1/5. (4/5) ÷ (2/3) = (4/5) × (3/2) = 12/10 = 6/5
80
Q: A clock shows 3:45. What is the angle between the hour and minute hands?
A: 157.5°. At 3:45, the minute hand is at 270° and the hour hand is at 112.5°. Angle = 270° - 112.5° = 157.5°
81
Q: What is 90% of 250?
A: 225. 90% of 250 = 0.90 × 250 = 225
82
Q: If 7 books cost $84, what is the cost of 4 books?
A: $48. Cost per book = $84 ÷ 7 = $12. Cost of 4 books = 4 × $12 = $48
83
Q: What is 5³?
A: 125. 5³ = 5 × 5 × 5 = 125
84
Q: A trapezoid has parallel sides of 8 cm and 12 cm, and height 5 cm. What is its area?
A: 50 square cm. Area = (1/2)(sum of parallel sides) × height = (1/2)(8 + 12) × 5 = 50 cm²
85
Q: What is 3.75 + 2.25?
A: 6. 3.75 + 2.25 = 6
86
Q: If a factory produces 240 items in 6 hours, how many items does it produce per hour?
A: 40 items per hour. 240 ÷ 6 = 40 items per hour
87
Q: What is 60% of 85?
A: 51. 60% of 85 = 0.60 × 85 = 51
88
Q: A rope 48 feet long is cut into pieces of 3 feet each. How many pieces are there?
A: 16 pieces. 48 ÷ 3 = 16 pieces
89
Q: What is 1/2 + 1/3 + 1/6?
A: 1. Find common denominator: 3/6 + 2/6 + 1/6 = 6/6 = 1
90
Q: A car travels at 55 mph for 3.5 hours. How far does it travel?
A: 192.5 miles. Distance = Speed × Time = 55 × 3.5 = 192.5 miles
91
Q: What is 8% of 150?
A: 12. 8% of 150 = 0.08 × 150 = 12
92
Q: If 3a = 24, what is a?
A: a = 8. Divide both sides by 3: a = 24 ÷ 3 = 8
93
Q: A square has area 49 square inches. What is its perimeter?
A: 28 inches. Side length = √49 = 7 inches. Perimeter = 4 × 7 = 28 inches
94
Q: What is 2 2/3 - 1 1/4?
A: 1 5/12. Convert to improper fractions: 8/3 - 5/4 = 32/12 - 15/12 = 17/12 = 1 5/12
95
Q: A swimming pool holds 12,000 gallons. If it's filled at 150 gallons per hour, how long to fill it?
A: 80 hours. Time = 12,000 ÷ 150 = 80 hours
96
Q: What is 45% of 120?
A: 54. 45% of 120 = 0.45 × 120 = 54
97
Q: If 9 pens cost $13.50, what is the cost of 15 pens?
A: $22.50. Cost per pen = $13.50 ÷ 9 = $1.50. Cost of 15 pens = 15 × $1.50 = $22.50
98
Q: What is √36 + √64?
A: 14. √36 = 6 and √64 = 8, so 6 + 8 = 14
99
Q: A cone has radius 4 cm and height 9 cm. What is its volume? (Use π = 3.14)
A: 150.72 cubic cm. Volume = (1/3)πr²h = (1/3) × 3.14 × 4² × 9 = (1/3) × 3.14 × 16 × 9 = 150.72 cm³
100
Q: What is 16 ÷ 0.4?
A: 40. 16 ÷ 0.4 = 160 ÷ 4 = 40
101
Q: If x/5 = 12, what is x?
A: x = 60. Multiply both sides by 5: x = 12 × 5 = 60
102
Q: A class has 28 students. If 3/4 are present, how many are absent?
A: 7 students. Present = 28 × 3/4 = 21. Absent = 28 - 21 = 7
103
Q: What is 0.125 × 64?
A: 8. 0.125 × 64 = 8
104
Q: A rectangular garden is 15 feet long and 8 feet wide. What is its perimeter?
A: 46 feet. Perimeter = 2(length + width) = 2(15 + 8) = 2(23) = 46 feet
105
Q: What is 5/8 × 4/5?
A: 1/2. (5 × 4)/(8 × 5) = 20/40 = 1/2
106
Q: A train travels 420 miles in 7 hours. What is its average speed?
A: 60 mph. Speed = Distance ÷ Time = 420 ÷ 7 = 60 mph
107
Q: What is 72% of 50?
A: 36. 72% of 50 = 0.72 × 50 = 36
108
Q: If 4y - 8 = 20, what is y?
A: y = 7. Add 8 to both sides: 4y = 28, then divide by 4: y = 7
109
Q: A circle has diameter 14 inches. What is its area? (Use π = 3.14)
A: 153.86 square inches. Radius = 7 inches. Area = πr² = 3.14 × 7² = 3.14 × 49 = 153.86 sq in

ASVAB Flashcards by Elite Minds (10 decks)

Brainscape helps you reach your goals faster, through stronger study habits.
© 2025 Bold Learning Solutions. Terms and Conditions