Arithmetic Reasoning

Question 1

Q1: A car travels 240 miles in 4 hours. What is its average speed?

Answer 1

A1: 60 mph

Question 2

Q2: What is 15% of 80?

Answer 2

A2: 12

Question 3

Q3: A recipe calls for 3 cups of flour to make 12 cookies. How many cups are needed for 20 cookies?

Answer 3

A3: 5 cups

Question 4

Q4: If John has $45 and spends 2/5 of it, how much money does he have left?

Answer 4

A4: $27

Question 5

Q5: What is the area of a rectangle with length 8 feet and width 6 feet?

Answer 5

A5: 48 square feet

Question 6

Q6: A store marks up items 25% above cost. If an item costs $40, what is the selling price?

Answer 6

A6: $50

Question 7

Q7: If 5 workers can complete a job in 8 days, how many days will it take 10 workers?

Answer 7

A7: 4 days

Question 8

Q8: What is 3/4 + 1/6?

Answer 8

A8: 11/12

Question 9

Q9: A train travels 150 miles in 2.5 hours. What is its speed in miles per hour?

Answer 9

A9: 60 mph

Question 10

Q10: If a shirt originally costs $60 and is on sale for 20% off, what is the sale price?

Answer 10

A10: $48

Question 11

Q11: What is the perimeter of a square with sides of 7 inches?

Answer 11

A11: 28 inches

Question 12

Q12: If 3 pounds of apples cost $4.50, how much do 5 pounds cost?

Answer 12

A12: $7.50

Question 13

Q13: What is 2³ + 3²?

Answer 13

A13: 17

Question 14

Q14: A box contains 24 red balls and 36 blue balls. What fraction of the balls are red?

Answer 14

A14: 2/5

Question 15

Q15: If x + 15 = 32, what is x?

Answer 15

A15: 17

Question 16

Q16: What is the average of 85, 92, 78, and 89?

Answer 16

A16: 86

Question 17

Q17: A car gets 28 miles per gallon. How many gallons are needed for a 350-mile trip?

Answer 17

A17: 12.5 gallons

Question 18

Q18: What is 40% of 25% of 200?

Answer 18

A18: 20

Question 19

Q19: If a circle has a radius of 5 feet, what is its circumference? (Use π ≈ 3.14)

Answer 19

A19: 31.4 feet

Question 20

Q20: Tom is 3 times as old as his son. If Tom is 36, how old is his son?

Answer 20

A20: 12 years old

Question 21

Q21: What is 7/8 - 1/4?

Answer 21

A21: 5/8

Question 22

Q22: A basketball team wins 18 out of 24 games. What percentage of games did they win?

Answer 22

A22: 75%

Question 23

Q23: If 4x = 28, what is x?

Answer 23

A23: 7

Question 24

Q24: A ladder 13 feet long leans against a wall. The bottom is 5 feet from the wall. How high up the wall does it reach?

Answer 24

A24: 12 feet

Question 25

Q25: What is 6! (6 factorial)?

Answer 25

A25: 720

Question 26

Q26: If gas costs $3.20 per gallon and you buy 12 gallons, how much do you pay?

Answer 26

A26: $38.40

Question 27

Q27: What is the area of a triangle with base 10 cm and height 6 cm?

Answer 27

A27: 30 cm²

Question 28

Q28: A number decreased by 8 equals 25. What is the number?

Answer 28

A28: 33

Question 29

Q29: What is 3.5 × 2.4?

Answer 29

A29: 8.4

Question 30

Q30: If 15 minutes is what fraction of an hour?

Answer 30

A30: 1/4

Question 31

Q31: A rope 48 feet long is cut into 6 equal pieces. How long is each piece?

Answer 31

A31: 8 feet

Question 32

Q32: What is 25% of 120?

Answer 32

A32: 30

Question 33

Q33: If 2/3 of a number is 18, what is the number?

Answer 33

A33: 27

Question 34

Q34: A rectangular garden is 15 feet long and 8 feet wide. What is its perimeter?

Answer 34

A34: 46 feet

Question 35

Q35: What is √64?

Answer 35

A35: 8

Question 36

Q36: If a pizza is cut into 8 equal slices and you eat 3 slices, what fraction did you eat?

Answer 36

A36: 3/8

Question 37

Q37: What is 150% of 40?

Answer 37

A37: 60

Question 38

Q38: If 5x - 7 = 18, what is x?

Answer 38

A38: 5

Question 39

Q39: A bottle holds 2.5 liters. How many 250ml servings can you get?

Answer 39

A39: 10 servings

Question 40

Q40: What is 8² - 3³?

Answer 40

A40: 37

Question 41

Q41: If you save $50 per month for 18 months, how much will you save?

Answer 41

A41: $900

Question 42

Q42: What is the volume of a cube with sides of 4 inches?

Answer 42

A42: 64 cubic inches

Question 43

Q43: A bag contains 5 red, 3 blue, and 2 green marbles. What's the probability of drawing a red marble?

Answer 43

A43: 1/2 or 50%

Question 44

Q44: What is 3/5 × 2/7?

Answer 44

A44: 6/35

Question 45

Q45: If a car depreciates 15% each year and is worth $20,000, what will it be worth after one year?

Answer 45

A45: $17,000

Question 46

Q46: What is the least common multiple of 6 and 8?

Answer 46

A46: 24

Question 47

Q47: A swimming pool is 25 meters long, 10 meters wide, and 2 meters deep. What is its volume?

Answer 47

A47: 500 cubic meters

Question 48

Q48: If 7 books cost $91, what is the cost per book?

Answer 48

A48: $13

Question 49

Q49: What is 45% of 80?

Answer 49

A49: 36

Question 50

Q50: A recipe serves 4 people and calls for 2 cups of rice. How much rice for 10 people?

Answer 50

A50: 5 cups

Question 51

Q51: What is the greatest common factor of 18 and 24?

Answer 51

A51: 6

Question 52

Q52: If you walk 3 miles in 45 minutes, what is your speed in miles per hour?

Answer 52

A52: 4 mph

Question 53

Q53: What is 2/3 + 1/4 + 1/6?

Answer 53

A53: 13/12

Question 54

Q54: If a shirt is marked up 40% from a cost of $25, what is the selling price?

Answer 54

A54: $35

Question 55

Q55: What is the median of: 12, 8, 15, 10, 9?

Answer 55

A55: 10

Question 56

Q56: A car travels 280 miles on 8 gallons of gas. What is its fuel efficiency?

Answer 56

A56: 35 mpg

Question 57

Q57: What is 60% of 150?

Answer 57

A57: 90

Question 58

Q58: If 3/4 of a class of 32 students passed a test, how many students passed?

Answer 58

A58: 24 students

Question 59

Q59: What is the area of a circle with radius 4 feet? (Use π ≈ 3.14)

Answer 59

A59: 50.24 square feet

Question 60

Q60: A number increased by 25% becomes 75. What was the original number?

Answer 60

A60: 60

Question 61

Q61: What is 12 ÷ 3/4?

Answer 61

A61: 16

Question 62

Q62: What is the mode of: 5, 3, 8, 3, 7, 3, 9?

Answer 62

A62: 3

Question 63

Q63: If x/5 = 12, what is x?

Answer 63

A63: 60

Question 64

Q64: A store sells 3 items for $10. How much would 7 items cost?

Answer 64

A64: $23.33

Question 65

Q65: What is 5/6 - 2/9?

Answer 65

A65: 7/18

Question 66

Q66: If the ratio of boys to girls in a class is 3:4 and there are 21 students total, how many are girls?

Answer 66

A66: 12 girls

Question 67

Q67: What is 35% of 60% of 200?

Answer 67

A67: 42

Question 68

Q68: A ladder reaches 12 feet up a wall and the ladder is 15 feet long. How far is the base from the wall?

Answer 68

A68: 9 feet

Question 69

Q69: What is 0.75 as a fraction in lowest terms?

Answer 69

A69: 3/4

Question 70

Q70: If 8 people can paint a fence in 6 hours, how long will it take 12 people?

Answer 70

A70: 4 hours

Question 71

Q71: What is the surface area of a cube with 5-inch sides?

Answer 71

A71: 150 square inches

Question 72

Q72: A sales tax of 8% is added to a $125 purchase. What is the total cost?

Answer 72

A72: $135

Question 73

Q73: What is √121?

Answer 73

A73: 11

Question 74

Q74: If a machine produces 150 items in 2.5 hours, what is its rate per hour?

Answer 74

A74: 60 items per hour

Question 75

Q75: What is 7/8 expressed as a decimal?

Answer 75

A75: 0.875

Question 76

Q76: A rectangular parking lot is 200 feet by 150 feet. If each parking space is 10 feet by 20 feet, how many spaces fit?

Answer 76

A76: 150 spaces

Question 77

Q77: What is 4³ + 2⁴?

Answer 77

A77: 80

Question 78

Q78: If you invest $1,000 at 5% simple interest for 3 years, how much interest do you earn?

Answer 78

A78: $150

Question 79

Q79: What is the range of: 15, 8, 23, 12, 19?

Answer 79

A79: 15

Question 80

Q80: A pizza costs $12 and you want to tip 15%. What is the total cost?

Answer 80

A80: $13.80

Question 81

Q81: What is 5/12 + 1/3?

Answer 81

A81: 3/4

Question 82

Q82: If a container holds 500ml and you use 3/5 of it, how much is left?

Answer 82

A82: 200ml

Question 83

Q83: What is the hypotenuse of a right triangle with legs of 6 and 8?

Answer 83

A83: 10

Question 84

Q84: A number multiplied by 6 equals 114. What is the number?

Answer 84

A84: 19

Question 85

Q85: What is 80% of 35?

Answer 85

A85: 28

Question 86

Q86: If a circular garden has a diameter of 14 feet, what is its area? (Use π ≈ 3.14)

Answer 86

A86: 153.86 square feet

Question 87

Q87: What is 3 1/4 - 1 3/8?

Answer 87

A87: 1 7/8

Question 88

Q88: If 40% of a number is 72, what is the number?

Answer 88

A88: 180

Question 89

Q89: A bus travels 45 mph for 2 hours and then 60 mph for 3 hours. What is the total distance?

Answer 89

A89: 270 miles

Question 90

Q90: What is 11² - 10²?

Answer 90

A90: 21

Question 91

Q91: If 5 pounds of flour cost $8.75, what is the cost per pound?

Answer 91

A91: $1.75

Question 92

Q92: What is the volume of a rectangular box that is 6 inches long, 4 inches wide, and 3 inches high?

Answer 92

A92: 72 cubic inches

Question 93

Q93: A jacket normally costs $80. If it's on sale for 30% off, what is the sale price?

Answer 93

A93: $56

Question 94

Q94: What is 9/16 + 1/4?

Answer 94

A94: 13/16

Question 95

Q95: If a recipe calls for 2/3 cup of sugar and you want to make 1.5 times the recipe, how much sugar do you need?

Answer 95

A95: 1 cup

Question 96

Q96: A triangle has angles of 45° and 65°. What is the third angle?

Answer 96

A96: 70°

Question 97

Q97: If you earn $15 per hour and work 37.5 hours per week, what is your weekly pay?

Answer 97

A97: $562.50

Question 98

Q98: Maria has twice as much money as Sarah. Together they have $90. How much does Maria have?

Answer 98

A98: $60

Question 99

Q99: What is 144 ÷ 12²?

Answer 99

A99: 1

Question 100

Q100: A cylindrical tank has a radius of 3 feet and height of 10 feet. What is its volume? (Use π ≈ 3.14)

Answer 100

A100: 282.6 cubic feet