FSOT : Mathematics And Statistics Test! Trivia Quiz

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  • 1/67 Questions

    Rachel ran 1/2 mile in 4 minutes.  At this rate, how many miles can she run in 15 minutes?

    • 1 7/8
    • 4
    • 30
    • 60
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About This Quiz


Are you prepared for your FSOT mathematics and statistics test? This quiz can help. Mathematics is the study of such topics as quantity, structure, space, and change. Statistics is the discipline that includes the collection, examination, interpretation, and presentation of data. This quiz requests that you answer these word problems, which pertain to FSOT mathematics and statistics. If you need to know more about mathematics and statistics, this quiz is an excellent place to start.

FSOT : Mathematics And Statistics Test! Trivia Quiz - Quiz

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  • 2. 

    The quality control department examines a random sample of 450 motors and determines that 9 of them have been assembled incorrectly.  At this rate, how many motors would be incorrectly assembled in a shipment of 2,000 motors?

    • 40

    • 42

    • 44

    • 46

    Correct Answer
    A. 40
    Explanation
    The quality control department found that 2% (9 out of 450) of the motors in the random sample were assembled incorrectly. Assuming this rate remains constant, we can calculate the number of incorrectly assembled motors in a shipment of 2,000 motors by multiplying 2% by 2,000. Thus, 2% of 2,000 is 40, which means that 40 motors would be incorrectly assembled in the shipment.

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  • 3. 

    A sweater originally priced at $40 is on sale for $30.  What percent has the sweater been discounted?

    • 25%

    • 33%

    • 70%

    • 75%

    Correct Answer
    A. 25%
    Explanation
    The amount discounted is $40 - $30 = $10. The percent of discount is the amount of discount divided by the original price. 10/40 = 1/4 = 25%.

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  • 4. 

    A computer hardware manufacturing company has a shipping charge of $2.75 per kilogram for all parts sent to the United States.  If 1 kilogram is approximately equal 2.2 pounds, what would be the shipping charges, rounded to the nearest dollar, for a part that weighs 44 pounds?

    • $55

    • $73

    • 138

    • $151

    Correct Answer
    A. $55
    Explanation
    44 punds * 1kg/2.2 pounds = 20kg. 20 kg * $2.75 per kg. = $55.

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  • 5. 

    If 400 people can be seated in 8 subway cars, how many people can be seated in 5 subway cars?

    • 200

    • 250

    • 300

    • 350

    Correct Answer
    A. 250
    Explanation
    If 400 people fit in 8 subway cars, then 400 / 8, or 50, people fit in one subway car. Therefore, 50 * 5, or 250, people fit in 5 subway cars.

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  • 6. 

    On a map, 1 centimeter represents 4 miles.  A distance of 10 miles would be how far apart on the map?

    • 1 3/4 cm

    • 2 cm

    • 2 1/2 cm

    • 4 cm

    Correct Answer
    A. 2 1/2 cm
    Explanation
    The proportion 1cm/4 miles = x cm/10 miles models this situation. Cross multiply. 1 * 10 = 4x so 10 = 4x and x = 10/4 = 2 1/2 cm.

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  • 7. 

    A barrel holds 60 gallons of water.  If a crack in the barrel causes 1/2 a gallon to leak out each days, how many gallons of water remain after 2 weeks?

    • 30

    • 53

    • 56 1/2

    • 59

    Correct Answer
    A. 53
    Explanation
    In 2 weeks, or 14 days, 1/2 * 14 = 7 gallons leak out, leaving 60 - 7 = 53 gallons.

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  • 8. 

    Mr. Scalici earns a weekly salary of $300 plus 10% commission on all sales.  If he sold $8,350 las week, what were his total earnings?

    • $835

    • $865

    • $1,135

    • $1,835

    Correct Answer
    A. $1,135
    Explanation
    The amount of commission is 10% * $8,350 = $835. Total earnings are $300 + $835 commission = $1,135.

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  • 9. 

    A 10-foot rope is to be cut into equal segments measuring 8 inches each.  The total number of segments is

    • 1

    • 8

    • 15

    • 40

    Correct Answer
    A. 15
    Explanation
    The total number of inches in a 10 foot rope is 10 * 12 = 120 inches. The number of 8 inch segments that can be cut is 120 / 8 = 15.

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  • 10. 

    Cards normally sell for $3.00 each.  How much is saved if 5 cards are purchased on sale for 2 for $5.00.

    • $2.50

    • $5.00

    • $12.50

    • $15.00

    Correct Answer
    A. $2.50
    Explanation
    Five cards at $3.00 each costs $15.00. If cards are 2 for $5.00, the cost per card is $5.00/2 = $2.50, so 5 cards would cost $2.50 * 5 = $12.50. The amount saved is $15.00 - $12.50 = $2.50.

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  • 11. 

    One-fourth of the cars purchased at a dealership are luxury models.  If 360 luxury models were sold last year, how many total cars were purchased?

    • 90

    • 250

    • 1,440

    • 3,600

    Correct Answer
    A. 1,440
    Explanation
    If t is the total number of cars sold, and 1/4 of the total cars sold are luxury, luxury cards sold = 360, so 1/4t = 360 and t = 360 * 4 = 1,440 total cars sold.

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  • 12. 

    A printer originally priced at $240 is on sale for $180.  By what percent has the price been discounted?

    • 25%

    • 33 1/3%

    • 66 2/3%

    • 75%

    Correct Answer
    A. 25%
    Explanation
    The price of the printer has been discounted by 25%. This can be calculated by finding the difference between the original price ($240) and the sale price ($180), which is $60. Then, dividing this difference by the original price and multiplying by 100 gives us the percentage discount, which is 25%.

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  • 13. 

    Total snack sales in 2005: $12 billion, distributed as follows:Potato Chips - 34%Tortilla Chips - 17%Nuts - 13%Popcorn - 13%Pretzels - 12%Other - 11%What was the ratio of money spent on potato chips to money spent on tortilla chips?

    • 2:1

    • 3:2

    • 1:2

    • 2:3

    Correct Answer
    A. 2:1
    Explanation
    The quickest way to do this is to work with the percents instead of the numbers. Therefore, the ratio can be expressed as 34:17, or 2:1.

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  • 14. 

    The scale on a map shows 500 feet for every 1/4 inch.  If two cities are 6 inches apart on the map, what is the actual distance?

    • 125 feet

    • 750 feet

    • 2,000 feet

    • 12,000 feet

    Correct Answer
    A. 12,000 feet
    Explanation
    The proportion 500 / 1/4 in = x ft / 6 in can be used to find the number of actual distance. Cross multiply. 500 * 6 = 1/4 x, so 3,000 = 1/4 x and x = 3,000 * 4 = 12,000 ft.

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  • 15. 

    While on a trip to Greece, Janet decides to purchase a pair of shoes that cost 6,274 Drachmas.  If each U.S. dollar is worth 200.5 Drachmas, what is the price of the shoes in U.S. dollars?

    • $12.58

    • $31.29

    • $33.45

    • $125.79

    Correct Answer
    A. $31.29
    Explanation
    6,274 Drachmas X (1 U.S. dollar / 200.5 Drachmas) = $31.29

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  • 16. 

    If 3 cans of soup cost $5.00, how much do 10 cans cost?

    • $15.00

    • $16.45

    • $16.67

    • $17.33

    Correct Answer
    A. $16.67
    Explanation
    The cost of the soup is directly proportional to the number of cans. If 3 cans cost $5.00, then 1 can would cost $5.00/3 = $1.67. Therefore, 10 cans would cost 10 x $1.67 = $16.67.

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  • 17. 

    Stanley can type 35 words per minute.  If it takes him a half-hour to type a document, about how many words are in the document.

    • 900.

    • 1,050.

    • 1,500.

    • 2,100.

    Correct Answer
    A. 1,050.
    Explanation
    There are 30 minutes in a half-hour. 30 * 35 = 1,050 words.

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  • 18. 

    A line on a blueprint measures 1.5 yards.  If 1 yard is equivalent to 0.9 meters, approximately what is the length of the line in meters?

    • 0.6 meters

    • 1.35 meters

    • 1.67 meters

    • 2.4 meters

    Correct Answer
    A. 1.35 meters
    Explanation
    1.5 yards * 0.9 meters/1 yard = 1.35 meters.

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  • 19. 

    Kevin can read 2 pages in 3 minutes.  At this rate, how long will it take him to read a 360-page book?

    • 30 minutes.

    • 2 hours.

    • 6 hours.

    • 9 hours.

    Correct Answer
    A. 9 hours.
    Explanation
    Using the ratio pages/minutes, the proportion 2/3 = 360/x can be used to find the time. Cross multiply 2x = 3 * 360, so 2x = 1,080 and x = 1,080/2 = 540 minutes. Convert minutes to hours. There are 60 minutes in one hour, so 540/60 = 9 hours.

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  • 20. 

    A foreign automobile manufacturer has a shipping charge of $3 per kilogram for all parts sent to the United States.  To the nearest dollar, what would be the shipping charges for a motor weighing 200 pounds?  Note that there are 0.455 kilograms in a pound.

    • $60

    • $132

    • $152

    • $273

    Correct Answer
    A. $273
    Explanation
    Begin by changing the 200 pounds to kilograms. 200 pounds * 0.455kg/1 pound = 91kg. Now, at $3 per kilogram, the shipping charge would be 91 * $3 = $273.

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  • 21. 

    At Erie County Community College, there are seven different classes of students taking CalculusI.  The number of students in these classes is 18, 22, 16, 25, 19, 17, and 18.What is the median size of a Calculus I class?

    • 17

    • 18

    • 19

    • 22

    Correct Answer
    A. 18
    Explanation
    Begin by putting the numbers of students in numerical order. Because there are an odd number of numbers, the median will be the number in the middle, which is 18.

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  • 22. 

    A restaurant bill without tax and tip comes to $38.40.  If a 15% tip is included after a 6% tax is added to the amount, how much is the tip?

    • $6.11

    • $5.76

    • $5.15

    • $2.30

    Correct Answer
    A. $6.11
    Explanation
    The tax on the bill is $38.40 * 6% = $2.30. The amount, including tax, is $38.40 + $2.30 = $40.70. The tip is $40.70 * 15% = $6.11.

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  • 23. 

    Fencing costs $4.75 per foot.  Posts cost $12.50 each.  How much will it cost to fence a garden if 10 posts and 34 feet of fencing are needed.

    • $472.50

    • $336.50

    • $315.50

    • $286.50

    Correct Answer
    A. $286.50
    Explanation
    The total cost for the posts and fencing is (10 * $12.50) + (34 * $4.75) = $125 + $161.50 = $286.50.

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  • 24. 

     havA savings account earns 2 1/4% interest each year.  How much interest is earned on a $1,000 deposit after a 5-year period?

    • $22.50

    • $100.00

    • $112.50

    • $150.00

    Correct Answer
    A. $112.50
    Explanation
    Interest = principle * rate * time

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  • 25. 

    Lauren earns $8.40 an hour plus an overtime rate equal to 1 1/2 times her regular pay for each hour worked beyond 40 hours.  What are her total earnings for a 45-hour work week?

    • $336

    • $370

    • $399

    • $567

    Correct Answer
    A. $399
    Explanation
    The overtime rate is $8.40 * 1.5 = $12.60. Five hours of overtime were completed, so the total earnings are ($8.40 * 40) + ($12.60 * 5) = $336 + $63 = $399.

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  • 26. 

    Three boxes are needed to hold 18 reams of paper.  How many boxes are needed for 90 reams?

    • 5

    • 6

    • 9

    • 15

    Correct Answer
    A. 15
    Explanation
    The proportion 3 boxes/18 reams = x boxes/90 reams can be used to find the number of boxes. Cross multiply. 3 * 90 = 18x so 270 = 18x and x = 270/18 = 15 boxes.

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  • 27. 

    Eight employees were asked to contribute to a going-away party for a co-worker.  The amounts that were contributed were $15, $5, $20, $20, $25, $40, $35, and $30.If the employee who contributed $5 to the party reconsidered and contributed $10 instead, which of the following would not change?

    • The range of the contributed amounts

    • The mean of the contributed amounts

    • The median of the contributed amounts

    • The total of the contributed amounts

    Correct Answer
    A. The median of the contributed amounts
    Explanation
    If the employee who contributed $5 changes their contribution to $10, it does not affect the median of the contributed amounts. The median is the middle value when the contributions are arranged in ascending order. In this case, the contributions in ascending order are $5, $15, $20, $20, $25, $30, $35, $40. The middle value is $25, which remains the same even if the $5 contribution is changed to $10. Therefore, the median of the contributed amounts does not change.

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  • 28. 

    Total snack sales in 2005: $12 billion, distributed as follows:Potato Chips - 34%Tortilla Chips - 17%Nuts - 13%Popcorn - 13%Pretzels - 12%Other - 11%If 30% of the money spent on potato chips was spent on barbecued potato chips, approximately how much money was spent on barbecued potato chips?

    • $1.2 billion

    • $0.6 billion

    • $3.6 billion

    • $2.4 billion

    Correct Answer
    A. $1.2 billion
    Explanation
    Potato chips account for 34% of sales or $12 billion * 34% = $4.08 billion. Then, 30% of this amount would be the amount spent on barbecued potato chips. Thus, $4.08 billion * 30% = $1.2 billion.

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  • 29. 

    Kyle ran 3 miles in 17 1/2 minutes on Saturday, 4 1/2 miles in 22 minutes on Sunday, and 2 miles in 9 minutes on Monday.  What was Kyle's average rate of speed while running?

    • 1.6 minutes per mile

    • 5.1 minutes per mile

    • 16.2 minutes per mile

    • 17.8 minutes per mile

    Correct Answer
    A. 5.1 minutes per mile
    Explanation
    Average is the total time divided by the total miles run. The total time is 17.5 + 22 + 9 = 48.5 minutes. The total number of miles run is 3 + 4.5 + 2 = 9.5 miles. The average is 48.5/9.5 = 5.1 minutes per mile.

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  • 30. 

    While on a trip to Denmark, Hazel buys a dress that costs 3,500 krones.  If there are 7.1 krones in a U.S. dollar, what is the cost of the dress (to the nearest dollar) in U.S. dollars?

    • $203

    • $249

    • $476

    • $493

    Correct Answer
    A. $493
    Explanation
    3,500 krones * 1/7.1 = $492.9.

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  • 31. 

    Brian took an admission exam.  After taking the test, Brian was told that his score was in the 64th percentile.  What does this statement mean?

    • 64 of the students who took the test did better than Brian.

    • 64 of the students who took the test did worse than Brian.

    • 64% of the students who took the test did better than Brian.

    • 64% of the students who took the test did worse than Brian.

    Correct Answer
    A. 64% of the students who took the test did worse than Brian.
    Explanation
    If Brian is in the 64th percentile, 64% of the students who took the test did worse than he did.

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  • 32. 

    When Brett Bayne's flight from Tokyo arrives in Paris, he converts 50,000 yen into francs.  If one U.S. dollar is worth 140 yen and one U.S. dollar is also worth 6 francs, approximately how many francs does he receive?

    • 63

    • 1,167

    • 2,143

    • 4,200

    Correct Answer
    A. 2,143
    Explanation
    Begin by converting the yen to dollars; after this, convert the dollars to francs.

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  • 33. 

    Staci earns $9.50 an hour plus 3% commission on all sales made.  If her total sales during a 30-hour work week were $500, how much did she earn?

    • $15

    • $250

    • $285

    • $300

    Correct Answer
    A. $300
    Explanation
    For a 30-hour week with $500 in sales, total earnings are (30 * $9.50) + (3% * $500) = $300.

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  • 34. 

    In a test of car mileage, 5 cars were tested in both highway and city driving.  The following data was recorded for the 5 cars:Car # 1 2 3 4 5Highway 20.5 25.3 24.3 27.1 22.9City 16.9 19.5 17.8 20.2 16.1What is the range of the data values of the 5 cars for highway driving?

    • 4.2 miles per gallon

    • 4.8 miles per gallon

    • 6.6 miles per gallon

    • 24 miles per gallon

    Correct Answer
    A. 6.6 miles per gallon
    Explanation
    The range is the difference between the maximum and minimum values.

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  • 35. 

    Jack lives 6 1/2 miles from the library.  If he walks 1/3 of the way and takes a break, what is the remaining distance to the library?

    • 5 5/6 miles

    • 4 miles

    • 4 1/3 miles

    • 2 1/6 miles

    Correct Answer
    A. 4 1/3 miles
    Explanation
    1/3 of 6 1/2 miles is 1/3 * 6 1/2 = 1/3 * 12/2 = 13/6 miles walked. The remaining distance is 6 1/2 - 13/2 = 13/2 - 13/6 = 39/6 - 13/6 = 26/6 = 4 1/3 miles.

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  • 36. 

    Sandy bought 4 1/2 lbs of apples and 6 kiwi fruits.  Brandon bought 3 1/4 lbs of apples and 9 kiwi fruits.  If apples cost $1.39 per lb and kiwis are 2 for $1.00, how much more money did Sandy spend than Brandon?

    • $0.24

    • $0.94

    • $1.54

    • $2.32

    Correct Answer
    A. $0.24
    Explanation
    The cost of Sandy's purchase is (4 1/2 * $1.39) + (6 * $0.50) = $9.26. The cost of Brandon's purchase is (3 1/4 * $1.39) + (9 * $0.50) = $9.02. Sandy spent $9.26 - $9.02 = $0.24 more.

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  • 37. 

    A rope is made by linking beads that are 1/2 inch in diameter.  How many feet long is a rope made from 60 beads?

    • 2 1/2 ft

    • 10 ft

    • 30 ft

    • 120 ft

    Correct Answer
    A. 2 1/2 ft
    Explanation
    60 beads * 1/2 inches = 30 inches. Converting this to feet gives 30 inches * 1 foot / 12 inches = 30/12 = 2 1/2 feet.

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  • 38. 

    Eight employees were asked to contribute to a going-away party for a co-worker.  The amounts that were contributed were $15, $5, $20, $20, $25, $40, $35, and $30.What is the difference between the mean contribution and the median contribution?

    • $0.75

    • $1.00

    • $1.25

    • $1.50

    Correct Answer
    A. $1.25
    Explanation
    The mean contribution is calculated by adding up all the contributions and dividing by the number of employees. In this case, the sum of all contributions is $190 and there are 8 employees, so the mean contribution is $190/8 = $23.75.

    The median contribution is the middle value when the contributions are arranged in ascending order. In this case, the contributions in ascending order are $5, $15, $20, $20, $25, $30, $35, $40. The middle value is the average of the two middle numbers, which are $20 and $25. So the median contribution is ($20 + $25)/2 = $22.50.

    The difference between the mean contribution and the median contribution is $23.75 - $22.50 = $1.25.

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  • 39. 

    A survey of video-game-playing habits among twelve junior high school students resulted in the following data in hours per week: 9, 2, 2.5, 7, 6.5, 11, 7, 1.5, 1, 4, 12, 8.5What is the average (arithmetic mean) number of hours spent playing video games by the students in the survey?

    • 5.25 hours

    • 5.75 hours

    • 6 hours

    • 6.5 hours

    Correct Answer
    A. 6 hours
    Explanation
    To find the arithmetic mean, add up the scores and divide the total by the number of scores.

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  • 40. 

    Total snack sales in 2005: $12 billion, distributed as follows:Potato Chips - 34%Tortilla Chips - 17%Nuts - 13%Popcorn - 13%Pretzels - 12%Other - 11%What was the total amount spent on nuts and pretzels in 2005?

    • $1.44 billion

    • $1.56 billion

    • $3.0 billion

    • $3.12 billion

    Correct Answer
    A. $3.0 billion
    Explanation
    Nuts and pretzels together account for 13% + 12% = 25% of the $12 billion in snack sales. $12 billion * 25% = $3 billion

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  • 41. 

    The girl's basketball team won three times as many games as they lost.  How many games were won if they played a total of 24 games.

    • 6

    • 8

    • 12

    • 18

    Correct Answer
    A. 18
    Explanation
    Let w represent the games won and l represent the games lost. Then w = 3 * l = 3l. The total number of games played is w + l = 24. Substituting 3l in for w yields 3l + l = 24 or 4l = 23. The number of losses is 24/4 = 6 and the number of wins is 24 - 6 = 18.

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  • 42. 

    While driving in Canada, Dave sees a sign that says that the distance to the next exit is 80 km.  If a mile is approximately 1.6 km, what is the distance to the next exit in miles?

    • 50 miles

    • 54 miles

    • 128 miles

    • 200 miles

    Correct Answer
    A. 50 miles
    Explanation
    To convert the distance from kilometers to miles, we can divide the given distance by the conversion factor of 1.6 (since 1 mile is approximately 1.6 km). So, 80 km divided by 1.6 gives us 50 miles. Therefore, the distance to the next exit in miles is 50 miles.

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  • 43. 

    A taxi ride costs $3.00 for the first mile and $1.00 for each additional half-mile.  What is the cost of a 10 mile ride?

    • $10

    • $12

    • $13

    • $21

    Correct Answer
    A. $21
    Explanation
    In a 10-mile trip, after the first mile, there are 9 additional miles. If each additional half-mile is $1, then an additional mile is $2. The cost of the trip is $3 for the first mile + ($2 * 9) for the additional miles. $3 + $18 = $21.

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  • 44. 

    Amelia casts a shadow 5 feet long.  Her father, who is 6 feet tall, casts a shadow 8 feet long.  How tall is Amelia?

    • 6 feet 8 inches

    • 4 feet 10 inches

    • 4 feet 6 inches

    • 3 feet 9 inches

    Correct Answer
    A. 3 feet 9 inches
    Explanation
    Using the ratio height/shadow, the proportion x feet/5 feet = 6 feet/8 feet can be used to find the unknown height. Cross multiply. 8x = 5 * 6, so 8x = 30 and x = 30/8 = 3 3/4 feet. Convert 3/4 feet to inches. 3/4 * 12 = 9 inches.

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  • 45. 

    Dennis ran a race in 2.2 minutes.  Kayla ran the same race in 124 seconds.  What is the difference between these two times.

    • 2 seconds.

    • 8 seconds.

    • 14 seconds.

    • 22 seconds.

    Correct Answer
    A. 8 seconds.
    Explanation
    Convert 2.2 minutes to seconds. 2.2 * 60 = 132 seconds. The difference in the two times is 132 - 124 = 8 seconds.

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  • 46. 

    The members of the Larchmont Automobile Club were surveyed about their favorite color of car.  EAch member could only select one color.  The survey results are shown in the following table.Color FrequencyRed 45Blue 33Black 41White 13Green 18What is the relative frequency of the choice "red"?

    • 0.2

    • 0.3

    • 0.45

    • 45

    Correct Answer
    A. 0.3
    Explanation
    Overall, 45 + 33 + 41 + 13 + 18 = 150 people were surveyed. Of these, 45 said red, so the frequency for red is 45, and the relative frequency is 45÷150 = 0.3.

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  • 47. 

    The following table shows the number of freshmen and sophomores involved in various sports.  Each student participates in only one sport.Sport Freshmen SophomoresFootball 9 13Soccer 8 19Basketball 2 5Baseball 8 6What percentage of students played basketball?

    • 7%

    • 10%

    • 14%

    • 20%

    Correct Answer
    A. 10%
    Explanation
    The total number of students is 70. Of these 2, + 5 = 7 play basketball. Finally, 7 / 70 = 10%.

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  • 48. 

    At Erie County Community College, there are seven different classes of students taking CalculusI.  The number of students in these classes is 18, 22, 16, 25, 19, 17, and 18.Which of the following statements is true?

    • The modal Calculus I class size is less than the median class size.

    • The modal Calculus I class size is equal to the median class size.

    • The modal Calculus I class size is greater than the median class size.

    • The given data is bimodal.

    Correct Answer
    A. The modal Calculus I class size is equal to the median class size.
    Explanation
    The mode is the most frequent occurring number, which is 18. Thus, the mode and the median are the same.

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  • 49. 

    Dough earns 15% commission on all sales over $5,000.  Last month, his sales totaled $12,500.  What were Dough's earnings?

    • $750

    • $1,125

    • $1,875

    • $2,625

    Correct Answer
    A. $1,125
    Explanation
    The amount of commission over $5,000 is $12,500 - $5,000 = $7,500. Earnings are $7,500 * 15% = $1,125.

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