FSOT : Mathematics And Statistics Test! Trivia Quiz

1. 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

The proportion 1/2 / 4 minutes = x miles / 15 minutes models the situation. Cross multiply. 1/2 * 15 = 4x so 15/2 = 4x and x = 15/2 * 1/4 = 15/8 = 1 7/8 miles.

Explanation

The proportion 1/2 / 4 minutes = x miles / 15 minutes models the situation. Cross multiply. 1/2 * 15 = 4x so 15/2 = 4x and x = 15/2 * 1/4 = 15/8 = 1 7/8 miles.

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

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.

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.

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

25%

33%

70%

75%

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%.

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%.

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

44 punds * 1kg/2.2 pounds = 20kg. 20 kg * $2.75 per kg. = $55.

Explanation

44 punds * 1kg/2.2 pounds = 20kg. 20 kg * $2.75 per kg. = $55.

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

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.

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.

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

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.

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.

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

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

Explanation

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

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

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

Explanation

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

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

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.

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.

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

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.

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.

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

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.

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.

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%

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%.

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%.

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

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.

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.

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

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.

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.

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

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

Explanation

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

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

$15.00

$16.45

$16.67

$17.33

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.

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.

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.

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

Explanation

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

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

1.5 yards * 0.9 meters/1 yard = 1.35 meters.

Explanation

1.5 yards * 0.9 meters/1 yard = 1.35 meters.

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.

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.

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.

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

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.

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.

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

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.

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.

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

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.

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.

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

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

Explanation

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

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

Interest = principle * rate * time

Explanation

Interest = principle * rate * time

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

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.

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.

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

5

6

9

15

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.

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.

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

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.

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.

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

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.

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.

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

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.

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.

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

3,500 krones * 1/7.1 = $492.9.

Explanation

3,500 krones * 1/7.1 = $492.9.

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.

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

Explanation

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

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

Begin by converting the yen to dollars; after this, convert the dollars to francs.

Explanation

Begin by converting the yen to dollars; after this, convert the dollars to francs.

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

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

Explanation

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

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 16.1
What 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

The range is the difference between the maximum and minimum values.

Explanation

The range is the difference between the maximum and minimum values.

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

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.

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.

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

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.

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.

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

60 beads * 1/2 inches = 30 inches. Converting this to feet gives 30 inches * 1 foot / 12 inches = 30/12 = 2 1/2 feet.

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.

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

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.

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.

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, 8.5
What 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

To find the arithmetic mean, add up the scores and divide the total by the number of scores.

Explanation

To find the arithmetic mean, add up the scores and divide the total by the number of scores.

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

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

Explanation

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

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

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.

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.

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

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.

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.

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

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.

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.

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

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.

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.

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.

Convert 2.2 minutes to seconds. 2.2 * 60 = 132 seconds. The difference in the two times is 132 - 124 = 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.

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 18
What is the relative frequency of the choice "red"?

0.2

0.3

0.45

45

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.

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.

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 6
What percentage of students played basketball?

7%

10%

14%

20%

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

Explanation

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

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.

The mode is the most frequent occurring number, which is 18. Thus, the mode and the median are the same.

Explanation

The mode is the most frequent occurring number, which is 18. Thus, the mode and the median are the same.

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

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

Explanation

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

50. Hazel eats 3/8 os a pizza and divides the reset between her two friends. What percent of the pizza do her friends each receive?

62.5%

37.5%

31.25%

18.75%

If 3/8 of the pizza is eaten, then 1-3/8 = 5/8 remains. If that is divided by 2, then each receives 5/8 ÷ 2 = 5/8 * 1/2 = 5/16 = 0.3125 = 31.25%.

Explanation

If 3/8 of the pizza is eaten, then 1-3/8 = 5/8 remains. If that is divided by 2, then each receives 5/8 ÷ 2 = 5/8 * 1/2 = 5/16 = 0.3125 = 31.25%.

51. 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, 8.5A similar survey among high school students showed that the average number of hours spent a week playing video games per student was 20% less than the same figure for junior high school students. What was the average number of hours per week spent playing video games for high school students?

4.6 hours

4.8 hours

5.2 hours

7.2 hours

The average number of hours for junior high school students was 6. To reduce 6 by 20%, determine 80% of 6. Thus, 6 * 80% = 4.8 hours.

Explanation

The average number of hours for junior high school students was 6. To reduce 6 by 20%, determine 80% of 6. Thus, 6 * 80% = 4.8 hours.

52. 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 range of the data values for the students given above?

10 hours.

11 hours.

12 hours.

13 hours.

The range is the difference between the largest and smallest values; that is, 12 - 1 = 11.

Explanation

The range is the difference between the largest and smallest values; that is, 12 - 1 = 11.

53. 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 6
Approximately what percent of the freshmen listed played football?

28.7%

31.4%

33.3%

81.4%

There are 27 freshmen playing sports, and of these, 9 play football. This is about 33.3%.

Explanation

There are 27 freshmen playing sports, and of these, 9 play football. This is about 33.3%.

54. 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 6
How many more sophomore played these particular sports than freshmen.

10

12

14

16

A total of 43 sophomores played as opposed to 27 freshmen. The difference is 43 - 27 = 16.

Explanation

A total of 43 sophomores played as opposed to 27 freshmen. The difference is 43 - 27 = 16.

55. One phone plan charges a $20 monthly fee and $0.08 per minute on every phone call made. Another phone plan charges a $12 monthly fee and $0.12 per minute for each call. After how many minutes would the charge be the same for both plans?

60 minutes

90 minutes

120 minutes

200 minutes

Let m represent the minutes of the phone calls. The monthly charge for the first plan is 20 + 0.08m. The monthly charge for the second plan is 12 + 0.12m. When the monthly charges are the same, 20 + 0.08m = 12 + 0.12m. Solve for m to find the number of minutes both plans have the same rate.

10 + 0.08m - 0.08m = 12 + 0.12m - 0.08m
20 = 12 + 0.04m
20 - 12 = 12 + 0.04m - 12
8 = 0.04m so m = 8/0.04 = 800/4 = 200 minutes

Explanation

Let m represent the minutes of the phone calls. The monthly charge for the first plan is 20 + 0.08m. The monthly charge for the second plan is 12 + 0.12m. When the monthly charges are the same, 20 + 0.08m = 12 + 0.12m. Solve for m to find the number of minutes both plans have the same rate.

10 + 0.08m - 0.08m = 12 + 0.12m - 0.08m
20 = 12 + 0.04m
20 - 12 = 12 + 0.04m - 12
8 = 0.04m so m = 8/0.04 = 800/4 = 200 minutes

56. 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 16.1
What is the difference between the average (arithmetic mean) miles per gallon of the 5 cars for highway driving and the average of the 5 cars for city driving?

3.6 miles per gallon

5.9 miles per gallon

6.4 miles per gallon

6.8 miles per gallon

The highway average is (20.5 + 25.3 + 24.2 + 27.1 + 22.9)/5 = 24. The city average is (16.9 + 19.5 + 17.8 + 20.2 + 16.1)/5 = 18.1. The difference is 24 - 18.1 = 5.9.

Explanation

The highway average is (20.5 + 25.3 + 24.2 + 27.1 + 22.9)/5 = 24. The city average is (16.9 + 19.5 + 17.8 + 20.2 + 16.1)/5 = 18.1. The difference is 24 - 18.1 = 5.9.

57. Which of the following sets of data is bimodal?

{2, 3, 3, 3, 4, 4, 5 7}

{2, 2, 3, 3, 4, 4, 5, 6, 7}

{2, 3, 4, 5, 6, 7}

{2, 3, 3, 4, 5 ,5, 7}

A bimodal set is a set that has two modes; in other words, there are two different numbers that appear the most frequently. The set that has this property is D, where the numbers 3 and 5 both occur twice.

Explanation

A bimodal set is a set that has two modes; in other words, there are two different numbers that appear the most frequently. The set that has this property is D, where the numbers 3 and 5 both occur twice.

58. While dining out, Chad spent $25.00. If the bill totaled $21.00 before the tip was added, approximately what percentage tip did Chad leave?

16%

19%

21%

25%

The percentage tip is the amount of tip over the total before tip. The amount of the tip is $25 - $21 = $4. The percent of the tip is $4 / $21 = 0.19 = 19%.

Explanation

The percentage tip is the amount of tip over the total before tip. The amount of the tip is $25 - $21 = $4. The percent of the tip is $4 / $21 = 0.19 = 19%.

59. Paul donates 4/13 of his paycheck to his favorite charity. If he donates $26.80, what is the amount of his paycheck?

$8.25

$82.50

$87.10

$348.40

Let p represent the amount of the paycheck. 4/13p = $26.80, so p = $26.80 * 13/4 = $87.10

Explanation

Let p represent the amount of the paycheck. 4/13p = $26.80, so p = $26.80 * 13/4 = $87.10

60. Floor tiling costs $13.50 per square yard. What would it cost to tile a room 15 feet long by 18 feet wide?

$20

$405

$1,350

$3,645

The area of a room 15 feet wide by 18 feet long is 15 * 18 = 270 square feet. Because there are 3 feet in a yard, there are 3 * 3 or 9 square feet in a square yard. Convert 270 square feet to square yards. 270 / 9 = 30 square yards. Because the cost is $13.50 per square yard, the total cost is $13.50 * 30, or $405.

Explanation

The area of a room 15 feet wide by 18 feet long is 15 * 18 = 270 square feet. Because there are 3 feet in a yard, there are 3 * 3 or 9 square feet in a square yard. Convert 270 square feet to square yards. 270 / 9 = 30 square yards. Because the cost is $13.50 per square yard, the total cost is $13.50 * 30, or $405.

61. What is the probability of rolling a sum of 9 using two dice?

1/4

1/9

5/12

7/36

There are four possible ways to roll a 9 using 2 dice: 3 and 6, 6 and 3, 4 and 5, and 5 and 4. The total number of possible outcomes when rolling 2 dice is 6-square or 36. Therefore, the probability of rolling a 9 is 4/36 = 1/9.

Explanation

There are four possible ways to roll a 9 using 2 dice: 3 and 6, 6 and 3, 4 and 5, and 5 and 4. The total number of possible outcomes when rolling 2 dice is 6-square or 36. Therefore, the probability of rolling a 9 is 4/36 = 1/9.

62. Tiling costs $2.89 per square foot. What is the cost to tile a kitchen with dimensions of 4 yards by 5 yards?

$57.80

$173.40

$289.00

$520.20

There are 3 feet in a yard, so a kitchen 4 yards by 5 yards is equivalent to (4*3) by (5*3) feet, or 12 * 15 feet. The area of the kitchen is 12*15 = 180 square feet. The cost to tile is $2.89 * 180 = $520.20.

Explanation

There are 3 feet in a yard, so a kitchen 4 yards by 5 yards is equivalent to (4*3) by (5*3) feet, or 12 * 15 feet. The area of the kitchen is 12*15 = 180 square feet. The cost to tile is $2.89 * 180 = $520.20.

63. A recipe calls for 3 cups of wheat and white flour combined. If 3/8 of this is wheat flour, how many cups of white flour are needed?

1 1/8

1 7/8

2 3/8

2 5/8

3/8 is wheat flour, then 1 - 3/8 or 5/8 is white flour. So 3 * 5/8 = 15/8 = 1 7/8 cups of white flour are needed.

Explanation

3/8 is wheat flour, then 1 - 3/8 or 5/8 is white flour. So 3 * 5/8 = 15/8 = 1 7/8 cups of white flour are needed.

64. The following are the company's current assets:
Cash - 7.5%Accounts Receivable - 10%Inventory - 40%Due From Supplies - 20%Other -
If the company has $30 million in cash, what is the total amount of its current assets?

225 million

250 million

380 million

400 million

The 30 million that the company has in cash represents 7.5% of its current assets. 30/7.5% = 400 million.

Explanation

The 30 million that the company has in cash represents 7.5% of its current assets. 30/7.5% = 400 million.

65. In a standard deck of playing cards, a king of hearts is drawn and not replaced. What is the probability of drawing another king from the deck?

1/4

1/13

1/17

3/52

Probability is (number of successful outcomes / number of possible outcomes). Because one king was drawn and not replaced, three kings remain in the deck of 51 cards. So the probability of drawing another king is 3/51 = 1/17.

Explanation

Probability is (number of successful outcomes / number of possible outcomes). Because one king was drawn and not replaced, three kings remain in the deck of 51 cards. So the probability of drawing another king is 3/51 = 1/17.

66. Which is the only measure of central tendency that can be used for qualitative data?

The arithmetic mean.

The median.

The mode.

The range.

The mode, which is simply the most frequently occurring value, is the only measure of central tendency that can be determined with a qualitative, non-numerical data.

Explanation

The mode, which is simply the most frequently occurring value, is the only measure of central tendency that can be determined with a qualitative, non-numerical data.

67. The following are the company's current assets:
Cash - 7.5%Accounts Receivable - 10%Inventory - 40%Due From Supplies - 20%Other -
How much more money does the company have in inventory than in accounts receivable?

$30 million

$60 million

$120 million

$200 million

The difference between inventory and accounts receivable is 30%. $400 million * 30% = $120 million.

Explanation

The difference between inventory and accounts receivable is 30%. $400 million * 30% = $120 million.