Family Feud Review. Math 1001: Quantitative Skills and Reasoning. September 8, 2011

Transcription

1 Review Math 1001: Quantitative Skills and Reasoning September 8, 2011

2 Question 1 State the definition of an argument.

3 Answer 1 Answer An argument uses a set of facts to support a conclusion.

4 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. Therefore snipes must be extinct.

5 Answer 2 Answer Premise: I have never seen a snipe. Conclusion: Snipes must be extinct.

6 Question 3 State the negation of the following statement.

7 Question 3 State the negation of the following statement. England is not in Asia.

8 Answer 3 England is in Asia. Answer

9 Question 4 Determine the hypothesis, conclusion, and truth value of the following statement. If England is in Asia, then Bill Clinton is the prime minister.

10 Answer 4 Answer Hypothesis: England is in Asia Conclusion: Bill Clinton is the prime minister Truth value: True

11 Question 5 Identify the units of the following quantities. Your average speed on a long walk, found by dividing distance traveled in feet by time elapsed in seconds.

12 Answer 5 Feet per second Answer

13 Question 6 A hot tub pump circulates 4 cubic feet of water per minute. How many cubic yards of water does it circulate each hour?

14 Answer 6 4 cubic feet 1 minute 1 cubic yard 27 cubic feet Answer 60 minutes 1 hour = 80 9 cubic yards per hour

15 Question 7 Determine which of the following sets are subsets of the set T = {red, green, blue, orange, purple, yellow}

16 Question 7 Determine which of the following sets are subsets of the set T = {red, green, blue, orange, purple, yellow} A = {blue, orange, red}

17 Question 7 Determine which of the following sets are subsets of the set T = {red, green, blue, orange, purple, yellow} A = {blue, orange, red} B = {orange, red, black, yellow}

18 Question 7 Determine which of the following sets are subsets of the set T = {red, green, blue, orange, purple, yellow} A = {blue, orange, red} B = {orange, red, black, yellow} C = {yellow, red, blue, green, purple}

19 Question 7 Determine which of the following sets are subsets of the set T = {red, green, blue, orange, purple, yellow} A = {blue, orange, red} B = {orange, red, black, yellow} C = {yellow, red, blue, green, purple} D = {green, purple}

20 Question 7 Determine which of the following sets are subsets of the set T = {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}

21 Answer 7 Answer A, C, and D are subsets of T

22 Question 8 The records for a student health clinic show that during one month of the 120 men who visited with flu or anemia, 60 had flu only and 10 had flu and anemia. Meanwhile, of the 150 women who visited with flu or anemia, 80 had flu only and 50 had anemia only. Use this information to fill in the following table. Flu Anemia Both Women Men

23 Answer 8 Answer Women Men Flu Anemia Both 20 10

24 Question 9 A rectangular garden is 2 feet long and 5 feet wide. What is the area of the garden?

25 Answer 9 10 square feet Answer

26 Question 10 Two cars, 360 kilometers apart, begin driving toward each other on a long, straight highway. One car travels 80 kilometers per hour and the other 100 kilometers per hour. At the same time, a canary, starting on one car flies back and forth between the two cars as they approach each other. If the canary flies 120 kilometers per hour and spends no time to turn around at each car, how far has it flown when the cars collide?

27 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled.

28 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash.

29 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash. If we let x represent the time it takes for the cars to crash (in hours), then we find the 80x and 100x represent the distance traveled by each car.

30 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash. If we let x represent the time it takes for the cars to crash (in hours), then we find the 80x and 100x represent the distance traveled by each car. This gives us the equation 360 = 80x + 100x

31 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash. If we let x represent the time it takes for the cars to crash (in hours), then we find the 80x and 100x represent the distance traveled by each car. This gives us the equation 360 = 80x + 100x 360 = 180x

32 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash. If we let x represent the time it takes for the cars to crash (in hours), then we find the 80x and 100x represent the distance traveled by each car. This gives us the equation 360 = 80x + 100x 360 = 180x x = 2 hours

33 Answer 10 Answer Notice that the speed of the canary is given, so if we have the amount of time the canary is flying then we know the distance the canary has traveled. This requires us to shift our focus to the amount of time it takes for the two cars to travel 360 kilometers together to the sight of the crash. If we let x represent the time it takes for the cars to crash (in hours), then we find the 80x and 100x represent the distance traveled by each car. This gives us the equation 360 = 80x + 100x 360 = 180x x = 2 hours Now that we have the number of hours before the collision and the speed of the canary, we find the canary traveled = 240 kilometers.

34 Question 11

35 Question 11 If Dexter can type at a rate of 50 words per minute, then how many words can Dexter type in 3 minutes?

36 Answer 11 Answer 150 words

37 Question 12 A woman bought a horse for $500 and then sold it for $600. She bought it back for $700 and then sold it again for $800. How much did she gain or lose on these transactions?

38 Answer 12 The woman gained $200. Answer

39 Question 13 How many millimeters are in one meter?

40 Answer 13 Answer 1000 millimeters in one meter

41 Question 14 Due to the lack of Mellow Mushrooms available in Europe, you wish to travel back to America from your European vacation a week early. You have 600 U.S. dollars available to purchase a ticket back to America. If the price of a plane ticket is listed at 475 euros, do you have enough money to purchase the tickets? (1 euro is equivalent to 1.40 U.S. dollars)

42 Answer 14 Answer The ticket cost $665, so you do not have enough money to purchase the ticket.

43 Question 15 What is the height in inches of a 6 10 basketball player?

44 Answer inches Answer

45 Question 16 A small city produces cubic feet of garbage per week. If all of this garbage were stacked neatly (in a vertical pile) on a 100 yard by 60 yard football field, how high would the pile be (in feet)?

46 Answer 16 Answer First note that a football field can also have its dimensions listed as 300 feet by 180 feet. We are searching for the height of the football field so we have the following equation = h.

47 Answer 16 Answer First note that a football field can also have its dimensions listed as 300 feet by 180 feet. We are searching for the height of the football field so we have the following equation As a result, we find h = 12 feet = h.

48 Question 17 Give an example of an integer that is not a natural number.

49 Answer 17 Answer 0, -1, -2, -3, would all be valid solutions

50 Question 18 Give an example of two irrational numbers a and b such that a b reduces to an integer.

51 Answer 18 Answer There are infinitely many examples, but we can begin by considering the irrational numbers a = 14π and b = π.

52 Answer 18 Answer There are infinitely many examples, but we can begin by considering the irrational numbers a = 14π and b = π. Then notice that a b = 14π π = 14.

53 Question 19 State the hypothesis and conclusion of the following statement. If it is a Sunday in Savannah, then it is raining outside.

54 Answer 19 Answer Hypothesis: It is a Sunday in Savannah Conclusion: It is raining outside

55 Question 20 State the converse and contrapositive of the following statement. If it is a Sunday in Savannah, then it is raining outside

56 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 Sunday in Savannah.