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Family Feud Review

Math 1001: Quantitative Skills and Reasoning

September 8, 2011

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Question 1

State the definition of an argument.

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Answer 1

AnswerAn argument uses a set of facts to support a conclusion.

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Question 2

Identify the premise(s) and conclusion of the following argument.

In all my years on this planet I have not seen a snipe. Thereforesnipes must be extinct.

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Answer 2

AnswerPremise: I have never seen a snipe.

Conclusion: Snipes must be extinct.

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Question 3

State the negation of the following statement.

England is not in Asia.

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Question 3

State the negation of the following statement.

England is not in Asia.

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Answer 3

AnswerEngland is in Asia.

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Question 4

Determine the hypothesis, conclusion, and truth value of thefollowing statement.

If England is in Asia, then Bill Clinton is the prime minister.

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Answer 4

AnswerHypothesis: England is in Asia

Conclusion: Bill Clinton is the prime minister

Truth value: True

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Question 5

Identify the units of the following quantities.

Your average speed on a long walk, found by dividing distancetraveled in feet by time elapsed in seconds.

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Answer 5

AnswerFeet per second

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Question 6

A hot tub pump circulates 4 cubic feet of water per minute. Howmany cubic yards of water does it circulate each hour?

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Answer 6

Answer4 cubic feet1 minute ·

1 cubic yard27 cubic feet ·

60 minutes1 hour = 80

9 cubic yards per hour

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}

A = {blue, orange, red}B = {orange, red, black, yellow}C = {yellow, red, blue, green, purple}D = {green, purple}E = {white, green, orange}

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}A = {blue, orange, red}

B = {orange, red, black, yellow}C = {yellow, red, blue, green, purple}D = {green, purple}E = {white, green, orange}

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}A = {blue, orange, red}B = {orange, red, black, yellow}

C = {yellow, red, blue, green, purple}D = {green, purple}E = {white, green, orange}

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}A = {blue, orange, red}B = {orange, red, black, yellow}C = {yellow, red, blue, green, purple}

D = {green, purple}E = {white, green, orange}

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}A = {blue, orange, red}B = {orange, red, black, yellow}C = {yellow, red, blue, green, purple}D = {green, purple}

E = {white, green, orange}

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Question 7

Determine which of the following sets are subsets of the setT = {red, green, blue, orange, purple, yellow}A = {blue, orange, red}B = {orange, red, black, yellow}C = {yellow, red, blue, green, purple}D = {green, purple}E = {white, green, orange}

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Answer 7

AnswerA, C , and D are subsets of T

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Question 8

The records for a student health clinic show that during one monthof the 120 men who visited with flu or anemia, 60 had flu only and10 had flu and anemia. Meanwhile, of the 150 women who visitedwith flu or anemia, 80 had flu only and 50 had anemia only. Usethis information to fill in the following table.

Women Men

Flu

Anemia

Both

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Answer 8

Answer

Women Men

Flu 80 60

Anemia 50 50

Both 20 10

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Question 9

A rectangular garden is 2 feet long and 5 feet wide. What is thearea of the garden?

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Answer 9

Answer10 square feet

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Question 10

Two cars, 360 kilometers apart, begin driving toward each other ona long, straight highway. One car travels 80 kilometers per hourand the other 100 kilometers per hour. At the same time, a canary,starting on one car flies back and forth between the two cars asthey approach each other. If the canary flies 120 kilometers perhour and spends no time to turn around at each car, how far has itflown when the cars collide?

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled.

This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash.

If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car.

This gives us theequation

360 = 80x + 100x360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x

360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x360 = 180x

x = 2 hoursNow that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Answer 10

AnswerNotice that the speed of the canary is given, so if we have theamount of time the canary is flying then we know the distance thecanary has traveled. This requires us to shift our focus to theamount of time it takes for the two cars to travel 360 kilometerstogether to the sight of the crash. If we let x represent the time ittakes for the cars to crash (in hours), then we find the 80x and100x represent the distance traveled by each car. This gives us theequation

360 = 80x + 100x360 = 180xx = 2 hours

Now that we have the number of hours before the collision and thespeed of the canary, we find the canary traveled120 · 2 = 240 kilometers.

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Question 11

If Dexter can type at a rate of 50 words per minute, then howmany words can Dexter type in 3 minutes?

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Question 11

If Dexter can type at a rate of 50 words per minute, then howmany words can Dexter type in 3 minutes?

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Answer 11

Answer150 words

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Question 12

A woman bought a horse for $500 and then sold it for $600. Shebought it back for $700 and then sold it again for $800. Howmuch did she gain or lose on these transactions?

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Answer 12

AnswerThe woman gained $200.

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Question 13

How many millimeters are in one meter?

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Answer 13

Answer1000 millimeters in one meter

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Question 14

Due to the lack of Mellow Mushrooms available in Europe, youwish to travel back to America from your European vacation aweek early. You have 600 U.S. dollars available to purchase aticket back to America. If the price of a plane ticket is listed at475 euros, do you have enough money to purchase the tickets? (1euro is equivalent to 1.40 U.S. dollars)

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Answer 14

AnswerThe ticket cost $665, so you do not have enough money topurchase the ticket.

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Question 15

What is the height in inches of a 6′10” basketball player?

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Answer 15

Answer82 inches

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Question 16

A small city produces 648000 cubic feet of garbage per week. If allof this garbage were stacked neatly (in a vertical pile) on a 100yard by 60 yard football field, how high would the pile be (in feet)?

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Answer 16

AnswerFirst note that a football field can also have its dimensions listedas 300 feet by 180 feet. We are searching for the height of thefootball field so we have the following equation

648000 = 300 · 180 · h.

As a result, we find h = 12 feet.

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Answer 16

AnswerFirst note that a football field can also have its dimensions listedas 300 feet by 180 feet. We are searching for the height of thefootball field so we have the following equation

648000 = 300 · 180 · h.

As a result, we find h = 12 feet.

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Question 17

Give an example of an integer that is not a natural number.

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Answer 17

Answer0, -1, -2, -3, · · · would all be valid solutions

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Question 18

Give an example of two irrational numbers a and b such that ab

reduces to an integer.

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Answer 18

AnswerThere are infinitely many examples, but we can begin byconsidering the irrational numbers a = 14π and b = π.

Thennotice that a

b = 14ππ = 14.

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Answer 18

AnswerThere are infinitely many examples, but we can begin byconsidering the irrational numbers a = 14π and b = π. Thennotice that a

b = 14ππ = 14.

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Question 19

State the hypothesis and conclusion of the following statement.

If it is a Sunday in Savannah, then it is raining outside.

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Answer 19

Answer

Hypothesis: It is a Sunday in Savannah

Conclusion: It is raining outside

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Question 20

State the converse and contrapositive of the following statement.

If it is a Sunday in Savannah, then it is raining outside

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Answer 20

Answer

Converse: If it is raining outside, then it is a Sunday in Savannah.

Contrapositive: If it is not raining outside, then it is not a Sundayin Savannah.

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