MATH 100 -- PRACTICE TEST 2 MULTIPLE CHOICE. all of the of ...

MATH 100 -- PRACTICE TEST 2 Millersville University, Spring 2012 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find all natural number factors of the number.

1) 110

1)

A) 2, 5, 10, 11, 55, 110

B) 1, 2, 5, 10, 11, 22, 110

C) 1, 2, 4, 5, 10, 11, 22, 55, 110

D) 1, 2, 5, 10, 11, 22, 55, 110

Give the prime factorization of the number. Use exponents when possible.

2) 468

2)

A) 22 ? 32 ? 13

B) 34 ? 13

C) 23 ? 32 ? 13

D) 24 ? 13

Find the number of divisors of the number.

3) 60

A) 12

B) 16

C) 10

3) D) 14

Determine whether the number is abundant or deficient.

4) 36

4)

A) Abundant

B) Deficient

Write the number as the sum of two primes. There may be more than one way to do this.

5) 28

5)

A) 3 + 25, 5 + 23, 7 + 21

B) 14 + 14

C) 5 + 23, 11 + 17

D) 5 + 23, 13 + 15

For the following amicable pair, determine whether neither, one, or both of the members are happy, and whether the

pair is a happy amicable pair.

6) 79,750 and 88,730

6)

A) both; happy

B) neither; not happy

C) one; happy

D) one; not happy

Find the greatest common factor of the numbers in the group.

7) 120, 90

A) 30

B) 6

C) 10

7) D) 15

8) 42, 56, 98 A) 2

B) 14

C) 28

8) D) 7

Find the least common multiple of the numbers in the group.

9) 112, 96

A) 672

B) 1344

C) 224

9) D) 336

10) 48, 162, 27 A) 648

B) 432

C) 324

10) D) 1296

Answer the question.

11) Jack has 92 hot dogs and 76 hot dog buns. He wants to put the same number of hot dogs and hot

11)

dog buns on each tray. What is the greatest number of trays Jack can use to accomplish this?

A) 46

B) 4

C) 2

D) 437

1

12) Planets A, B, and C orbit a certain star once every 3, 7, and 18 months, respectively. If the three

12)

planets are now in the same straight line, what is the smallest number of months that must pass

before they line up again?

A) 126 months

B) 378 months

C) 54 months

D) 28 months

Solve the problem relating to the Fibonacci sequence.

13) List the first seven terms of the Fibonacci sequence.

13)

A) 1, 1, 2, 3, 5, 8, 13

B) 1, 2, 3, 5, 8, 13, 21

C) 1, 1, 3, 4, 7, 11, 18

D) 1, 2, 4, 6, 10, 16, 26

14) F28 = 317,811, F30 = 832,040

Find F29. A) F29 = 1,149,851

B) F29 = 514,229

C) F29 = 1,346,269

14) D) F29 = 196,418

15) If an 8-inch wide rectangle is to approach the golden ratio, what should its length be?

15)

A) 10 in

B) 12 in

C) 5 in

D) 13 in

Solve the problem. 16) Construct a product table showing all possible two-digit numbers using digits from the set {1, 2, 6, 16)

7}.

A) 1267

1 11 21 61 71 2 12 22 62 72 6 16 26 66 71 7 17 27 67 77

B) 12

6 61 62 7 71 72

C) 1267

1 11 12 16 17 2 21 22 26 27 6 61 62 66 67 7 71 72 76 77

D) 126 7

1237 8 2348 9 6 7 8 12 13 7 8 9 13 14

17) A baseball manager has 10 players of the same ability. How many different 9 player starting

17)

lineups can he create?

A) 362,880

B) 90

C) 3,628,800

D) 10

18) A shirt company has 4 designs, each of which can be made with short or long sleeves. There are 6 18)

color patterns available. How many different types of shirts are available from this company?

A) 10 types

B) 24 types

C) 12 types

D) 48 types

19) How many ways can a president, vice-president, secretary, and treasurer be chosen from a club

19)

with 9 members? Assume that no member can hold more than one office.

A) 36

B) 126

C) 3024

D) 24

20) There are 13 members on a board of directors. If they must form a subcommittee of 4 members,

20)

how many different subcommittees are possible?

A) 28,561

B) 17,160

C) 24

D) 715

21) Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many

21)

would contain all clubs?

A) 3,861

B) 1,287

C) 2,574

D) 143

2

22) A group of five entertainers will be selected from a group of twenty entertainers that includes

22)

Small and Trout. In how many ways could the group of five include at least one of the entertainers

Small and Trout?

A) 11628 ways

B) 15,504 ways

C) 8568 ways

D) 6936 ways

23) If a single card is drawn from a standard 52-card deck, in how many ways could it be an ace or a 23)

spade?

A) 16 ways

B) 17 ways

C) 1 way

D) 4 ways

24) How many odd three-digit numbers can be written using digits from the set 2, 3, 4, 5, 6 if no

24)

digit may be used more than once?

A) 16

B) 24

C) 60

D) 18

25) Suppose that 11 fair coins are tossed. Find the numbers of ways of obtaining exactly 5 heads.

25)

A) 332,640

B) 1440

C) 462

D) 27,720

Find the number of ways to get the following card combinations from a 52 -card deck.

26) Two red cards and three black cards

26)

A) 1,267,500 ways

B) 422,500 ways

C) 1,690,000 ways

D) 845,000 ways

Find the probability.

27) A bag contains 13 balls numbered 1 through 13. What is the probability that a randomly selected

27)

ball has an even number?

A) 6

B)

6 13

C)

2 13

D)

13 6

Solve the problem. 28) A computer printer allows for optional settings with a panel of four on-off switches in a row. How 28)

many different settings can be selected if no three adjacent switches can all be off?

A) 12

B) 13

C) 14

D) 10

Give the probability that the spinner shown would land on the indicated color.

29) black

29)

A)

1 4

B)

1 3

C)

1 2

D)

2 3

3

Solve the problem.

30) The table shows the number of college students who prefer a given pizza topping.

30)

toppings freshman sophomore

cheese

16

16

meat

24

28

veggie

16

16

junior 21 16 24

senior 28 16 28

Find the empirical probability that a randomly selected student prefers cheese toppings.

A) 0.325

B) 0.346

C) 0.112

D) 0.337

Find the probability.

31) A bag contains 7 red marbles, 2 blue marbles, and 3 green marbles. What is the probability that a 31)

randomly selected marble is blue?

A)

2 9

B)

7 12

C)

1 6

D)

1 4

32) Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the

32)

dice is greater than 10?

A)

1 18

B)

1 12

C)

5 18

D) 3

33) A class consists of 24 women and 58 men. If a student is randomly selected, what is the probability 33)

that the student is a woman?

A)

1 82

B)

29 41

C)

12 29

D)

12 41

34) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of

34)

drawing a face card or a red card?

A)

15 26

B)

9 13

C)

19 26

D)

8 13

Find the indicated probability. 35) A card is drawn at random from a standard 52 -card deck. Find the probability that the card is not 35)

a queen.

A)

12 13

B)

3 4

C)

1 4

D)

1 13

Solve the problem.

36)

36)

What are the odds in favor of spinning an A on this spinner?

A) 3:5

B) 6:2

C) 4:2

4

D) 2:6

37)

37)

What are the odds against drawing a number greater than 2 from these cards?

A) 2:5

B) 3:2

C) 2:3

D) 5:2

38) If the probability that an identified hurricane will make a direct hit on a certain stretch of beach is 38)

0.10, what are the odds against a direct hit?

A) 1 to 10

B) 9 to 1

C) 10 to 1

D) 8 to 1

39) Two distinct even numbers are selected at random from the first ten even numbers greater than

39)

zero. What is the probability that the sum is 30?

A)

1 10

B)

1 15

C)

2 45

D)

1 45

Find the probability of the following card hands from a 52 -card deck. In poker, aces are either high or low. A bridge

hand is made up of 13 cards.

40) In poker, a full house (3 cards of one value, 2 of another value)

40)

A) 0.00655

B) 0.0000385

C) 0.00000920

D) 0.00144

Find the probability.

41) A fair die is rolled. What is the probability of rolling a 3 or a 6?

41)

A)

1 3

B)

1 6

C)

1 36

D) 2

42) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of

42)

drawing a face card or a red card?

A)

19 26

B)

15 26

C)

9 13

D)

8 13

Find the indicated probability.

43) The age distribution of students at a community college is given below.

43)

Age (years)

Under 21 21-25 26-30 31-35

Over 35

Number of students (f) 400 403 219 56 29

1107

A student from the community college is selected at random. Find the probability that the student

is between 26 and 35 inclusive. Round approximations to three decimal places.

A) 275

B) 0.051

C) 0.248

D) 0.198

44) A card is drawn at random from a standard 52 -card deck. Find the probability that the card is not 44)

a queen.

A)

1 13

B)

12 13

C)

1 4

D)

3 4

5

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download