6) A) both; happy B) neither; not happy C) one; happy D) one; not happy

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1 MATH PRACTICE TEST 2 Millersville University, Spring 202 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. ) 0 A) 2, 5, 0,, 55, 0, 2, 5, 0,, 22, 0, 2,, 5, 0,, 22, 55, 0 D), 2, 5, 0,, 22, 55, 0 ) Give the prime factorization of the number. Use exponents when possible. 2) 8 A) D) 2 2) Find the number of divisors of the number. 3) 0 A) 2 0 D) 3) Determine whether the number is abundant or deficient. ) 3 A) Abundant Deficient ) Write the number as the sum of two primes. There may be more than one way to do this. 5) 28 A) , , , + 7 D) , + 5 5) 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. ) 79,750 and 88,730 ) A) both; happy neither; not happy one; happy D) one; not happy Find the greatest common factor of the numbers in the group. 7) 20, 90 A) 30 0 D) 5 7) 8) 2, 5, 98 A) 2 28 D) 7 8) Find the least common multiple of the numbers in the group. 9) 2, 9 A) D) 33 9) 0) 8, 2, 27 A) D) 29 0) Answer the question. ) Jack has 92 hot dogs and 7 hot dog buns. He wants to put the same number of hot dogs and hot dog buns on each tray. What is the greatest number of trays Jack can use to accomplish this? A) 2 D) 37 )

2 2) Planets A, B, and C orbit a certain star once every 3, 7, and 8 months, respectively. If the three planets are now in the same straight line, what is the smallest number of months that must pass before they line up again? A) 2 months 378 months 5 months D) 28 months 2) Solve the problem relating to the Fibonacci sequence. ) List the first seven terms of the Fibonacci sequence. A),, 2, 3, 5, 8,, 2, 3, 5, 8,, 2,, 3,, 7,, 8 D), 2,,, 0,, 2 ) ) F28 = 37,8, F30 = 832,00 Find F29. A) F29 =,9,85 F29 = 5,229 F29 =,3,29 D) F29 = 9,8 ) 5) If an 8-inch wide rectangle is to approach the golden ratio, what should its length be? A) 0 in 2 in 5 in D) in 5) Solve the problem. ) Construct a product table showing all possible two-digit numbers using digits from the set {, 2,, 7}. ) A) D) ) A baseball manager has 0 players of the same ability. How many different 9 player starting lineups can he create? A) 32, ,28,800 D) 0 7) 8) A shirt company has designs, each of which can be made with short or long sleeves. There are color patterns available. How many different types of shirts are available from this company? A) 0 types 2 types 2 types D) 8 types 8) 9) How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 9 members? Assume that no member can hold more than one office. A) D) 2 9) 20) There are members on a board of directors. If they must form a subcommittee of members, how many different subcommittees are possible? A) 28,5 7,0 2 D) 75 20) 2) Of the 2,598,90 different five-card hands possible from a deck of 52 playing cards, how many would contain all clubs? A) 3,8,287 2,57 D) 3 2) 2

3 22) A group of five entertainers will be selected from a group of twenty entertainers that includes Small and Trout. In how many ways could the group of five include at least one of the entertainers Small and Trout? A) 28 ways 5,50 ways 858 ways D) 93 ways 22) 23) If a single card is drawn from a standard 52-card deck, in how many ways could it be an ace or a spade? A) ways 7 ways way D) ways 23) 2) How many odd three-digit numbers can be written using digits from the set 2, 3,, 5, if no digit may be used more than once? A) 2 0 D) 8 2) 25) Suppose that fair coins are tossed. Find the numbers of ways of obtaining exactly 5 heads. A) 332,0 0 2 D) 27,720 25) Find the number of ways to get the following card combinations from a 52 -card deck. 2) Two red cards and three black cards A),27,500 ways 22,500 ways,90,000 ways D) 85,000 ways 2) 27) A bag contains balls numbered through. What is the probability that a randomly selected ball has an even number? A) 2 D) 27) Solve the problem. 28) A computer printer allows for optional settings with a panel of four on-off switches in a row. How many different settings can be selected if no three adjacent switches can all be off? A) 2 D) 0 28) Give the probability that the spinner shown would land on the indicated color. 29) black 29) A) 3 2 D) 2 3 3

4 Solve the problem. 30) The table shows the number of college students who prefer a given pizza topping. 30) toppings freshman sophomore junior senior cheese 2 28 meat 2 28 veggie 2 28 Find the empirical probability that a randomly selected student prefers cheese toppings. A) D) ) A bag contains 7 red marbles, 2 blue marbles, and 3 green marbles. What is the probability that a randomly selected marble is blue? A) 2 7 D) 9 2 3) 32) Two fair -sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 0? A) 5 D) ) 33) A class consists of 2 women and 58 men. If a student is randomly selected, what is the probability that the student is a woman? A) D) 2 33) 3) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card? A) D) ) 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 a queen. A) 2 3 D) 35) Solve the problem. 3) 3) What are the odds in favor of spinning an A on this spinner? A) 3:5 :2 :2 D) 2:

5 37) 37) What are the odds against drawing a number greater than 2 from these cards? A) 2:5 3:2 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 0.0, what are the odds against a direct hit? A) to 0 9 to 0to D) 8 to 38) 39) Two distinct even numbers are selected at random from the first ten even numbers greater than zero. What is the probability that the sum is 30? 39) A) D) 5 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 cards. 0) In poker, a full house (3 cards of one value, 2 of another value) 0) A) D) 0.00 ) A fair die is rolled. What is the probability of rolling a 3 or a? A) 3 3 D) 2 ) 2) A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a red card? A) D) ) Find the indicated probability. 3) The age distribution of students at a community college is given below. 3) Age (years) Number of students (f) Under Over A student from the community college is selected at random. Find the probability that the student is between 2 and 35 inclusive. Round approximations to three decimal places. A) D) 0.98 ) A card is drawn at random from a standard 52 -card deck. Find the probability that the card is not a queen. A) 2 D) 3 ) 5

6 5) The table below shows the soft drink preferences of people in three age groups. 5) cola root beer lemon-lime under 2 years of age between 2 and over 0 years of age If one of the 255 subjects is randomly selected, find the probability that the person is over 0 years of age. A) D) 3 5 ) If a fair coin is tossed three times, find the probability of getting heads on the first toss and tails on the second and third tosses. ) A) D) Find the indicated probability. 7) An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer. A) D) ) Find the conditional probability. 8) Suppose one cards is selected at random from an ordinary deck of 52 playing cards without replacement, then a second card is selected. Let 8) A = event a queen is selected B = event a diamond is selected. Determine P(B A). A) 52 D) 2 9) If a single fair die is rolled, find the probability that the number rolled is 5 given that it is odd. 9) A) D) 3 50) If two fair dice are rolled, find the probability that the sum is given that the roll is a ʺdoubleʺ. 50) A) 5 D) 3

7 Answer Key Testname: MATH00 PRACTICETEST2 SPRING202 ) D 2) A 3) A ) A 5) C ) B 7) A 8) B 9) A 0) D ) B 2) A ) A ) B 5) D ) C 7) C 8) D 9) C 20) D 2) B 22) D 23) A 2) B 25) C 2) D 27) B 28) B 29) A 30) A 3) C 32) B 33) D 3) D 35) A 3) A 37) C 38) B 39) B 0) D ) A 2) D 3) C ) B 5) B ) B 7) D 8) C 9) D 50) C 7