MATH 100 -- PRACTICE EXAM 2 Millersville University, Spring 2011 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the Egyptian numeral to Hindu-Arabic form. 1) 1) A) 3067 3670 C) 3607 D) 367 Perform the addition or subtraction and give your answer in Hindu -Arabic form. 2) 2) A) 7599 7509 C) 8599 D) 8509 Convert the Chinese numeral to Hindu-Arabic form. 3) 3) A) 090 900 C) 09 D) 90 Sketch an abacus to represent the given number. ) 5,352 A) ) Write the number in expanded form. 5) 2,732 A) (2 x 103) + (7 x 102) + (3 x 101) + (2 x 100) (2 x 100) + (7 x 101) + (3 x 102) + (2 x 103) C) (2 x 10) + (7 x 103) + (3 x 102) + (2 x 101) D) (2 x 101) + (7 x 102) + (3 x 103) + (2 x 10) 5) 6) List the first 10 counting numbers in base 9. A) 1, 2, 3,, 5, 7, 8, 10, 11 1, 2, 3,, 5, 6, 7, 8, 10, 11 C) 1, 2,, 5, 7, 8, A, B, C, D D) 1, 2, 3,, 5, 6, 7, 8, 11, 12 6) 7) Write (in the same base) the counting numbers just before and just after eight. A) 10eight, 12eight 12eight, 15eight C) Aeight, Ceight D) 12eight, 1eight 7) 1
8) Write (in the same base) the counting numbers just before and just after 10five. A) 103five, 1111five 102five, 1101five C) 103five, 105five D) 103five, 1100five 8) Convert the number to decimal form. 9) 5eight A) 10 52 C) 356 D) 288 9) Convert the decimal number to the given base. 10) 2,87 to base seven A) 1122seven 1122seven C) 112seven D) 112seven 10) Convert from binary form to the indicated base. 11) 1011000010110000two to base sixteen A) B0B0sixteen sixteen C) 0260sixteen D) B00Asixteen 11) Convert the number to binary form. 12) 6BDsixteen A) 11010111011two 10110101110two C) 11010111101two D) 10011011101two 12) Determine the letters or numbers. ) Write the binary code for the letter R. A) 1010100 1010010 C) 1100101 D) 1001010 ) 1) Translate ʺMexicoʺ into an ASCII string of binary digits. A) 100110101001011111000110100111000111101111 100110111001011111000110100111000111101111 C) 100110111011011101000110100111000111110011 D) 110110111001011011011100111000111111001101 1) Find all natural number factors of the number. 15) 110 A) 2, 5, 10, 11, 55, 110 1, 2, 5, 10, 11, 22, 110 C) 1, 2,, 5, 10, 11, 22, 55, 110 D) 1, 2, 5, 10, 11, 22, 55, 110 15) Give the prime factorization of the number. Use exponents when possible. 16) 68 A) 22 32 3 C) 23 32 D) 2 16) Determine whether the number is abundant or deficient. 17) 36 A) Abundant Deficient 17) Write the number as the sum of two primes. There may be more than one way to do this. 18) 28 A) 3 + 25, 5 + 23, 7 + 21 1 + 1 C) 5 + 23, 11 + 17 D) 5 + 23, + 15 18) 2
Find the greatest common factor of the numbers in the group. 19) 120, 90 A) 30 6 C) 10 D) 15 19) Find the least common multiple of the numbers in the group. 20) 112, 96 A) 672 C) 22 D) 336 20) Answer the question. 21) Jack has 92 hot dogs and 76 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) 6 C) 2 D) 37 21) Solve the problem relating to the Fibonacci sequence. 22) F28 = 317,811, F30 = 832,00 Find F29. A) F29 = 1,19,851 F29 = 51,229 C) F29 = 1,36,269 D) F29 = 196,18 22) 23) A shirt company has designs, each of which can be made with short or long sleeves. There are 6 color patterns available. How many different types of shirts are available from this company? A) 10 types 2 types C) 12 types D) 8 types 23) 2) 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) 36 126 C) 302 D) 2 2) 25) There are members on a board of directors. If they must form a subcommittee of members, how many different subcommittees are possible? A) 28,561 17,160 C) 2 D) 715 25) 26) Of the 2,598,960 different five-card hands possible from a deck of 52 playing cards, how many would contain all clubs? A) 3,861 1,287 C) 2,57 D) 13 26) 27) 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) 11628 ways 15,50 ways C) 8568 ways D) 6936 ways 27) 28) 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) 16 ways 17 ways C) 1 way D) ways 28) Find the number of ways to get the following card combinations from a 52 -card deck. 29) Two red cards and three black cards A) 1,267,500 ways 22,500 ways C) 1,690,000 ways D) 85,000 ways 29) 3
Find the probability. 30) A bag contains balls numbered 1 through. What is the probability that a randomly selected ball has an even number? A) 6 6 C) 2 D) 6 30) 31) Two fair 6-sided dice are rolled. What is the probability that the sum of the two numbers on the dice is greater than 10? A) 1 1 5 C) D) 3 18 12 18 31) 32) 32) What are the odds against drawing a number greater than 2 from these cards? A) 2:5 3:2 C) 2:3 D) 5:2 Find the indicated probability. 33) A card is drawn at random from a standard 52 -card deck. Find the probability that the card is not a queen. A) 12 3 C) 1 D) 1 33) Find the probability. 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) 15 26 9 C) 19 26 D) 8 3) Find the conditional probability. 35) Suppose one cards is selected at random from an ordinary deck of 52 playing cards without replacement, then a second card is selected. Let 35) A = event a queen is selected B = event a diamond is selected. Determine P(B A). A) 1 1 52 C) 1 D) 1 2
Answer Key Testname: MATH 100 EXAM2 PRACTICE SPRING2011 1) D 2) C 3) B ) A 5) A 6) B 7) D 8) D 9) C 10) C 11) A 12) C ) B 1) B 15) D 16) A 17) A 18) C 19) A 20) A 21) B 22) B 23) D 2) C 25) D 26) B 27) D 28) A 29) D 30) B 31) B 32) C 33) A 3) D 35) C 5