MATH 100 PRACTICE TEST 1 Millersville University Spring 2011 Ron Umble Instr MULTIPLE CHOICE Choose the one alternative that best completes the statement or answers the question Determine the most probable next term in the sequence 1 31 26 21 16 11 A 5 B 0 1 C 2 Use the method of Gauss to find the sum 2 1 2 3 450 A 202 500 B 50 625 D 6 2 C 101 475 Use the method of successive differences to determine the next term in the sequence 3 13 19 48 100 175 A 273 B 296 C 295 D 101 250 3 D 250 Use problem solving strategies to solve the problem 4 A rabbit grows so that every 2 months it doubles in weight However the rabbit will never go over 75 pounds If a bunny is born on July 15th weighing 2 pounds in which month will it weigh 46 pounds A June B February C July D April Solve the problem 5 Maria and Karl work at different jobs Maria earns 6 per hour and Karl earns 3 per hour They each earn the same amount per week but Karl works 4 more hours How many hours a week does Karl work A 12 B 16 C 4 D 8 4 5 Complete the magic addition square A magic square has the property that the sum of the numbers in any row column or diagonal is the same 6 6 Use each number 9 10 11 12 13 14 15 16 and 17 once 12 10 13 15 9 B A 12 17 10 11 13 15 14 9 16 C 12 17 10 11 13 15 16 9 14 D 12 14 10 11 13 15 16 9 17 12 16 10 11 13 15 14 9 17 Write the set in set builder notation 7 16 17 18 19 A x x is an integer less than 20 C x x is an integer between 15 and 20 B 16 17 18 19 D x x is an integer between 16 and 19 Find n A for the set 8 A x x is a number on a clock face A n A 6 B n A 24 C n A 12 7 8 1 D n A 3 Decide whether both or neither can be placed in the blank to make a true statement 9 12 13 14 12 13 14 A B Neither C Both and D 9 Find the number of subsets of the set 10 x x is an even number between 17 and 27 A 32 B 4 10 C 20 D 16 Find the number of proper subsets of the set 11 1 2 3 8 A 255 B 511 C 256 D 250 11 Let U 1 2 4 5 a b c d e Find the complement of the set 12 W 1 5 e d a A 2 4 b c B 1 2 4 b c C 2 3 4 b c 12 D 2 3 4 a b c List the elements in the set Let U q r s t u v w x y z A q s u w y B q s y z C v w x y z 13 A B A r t v x C t v x 13 B s u w D r s t u v w x z 14 B A C A q s u y C q s B q r s t u v w x y D q s u y z 15 C A A w y C q r s t u v x z B r t D q s u v w x y z 14 15 Find the Cartesian product 16 A i a B t d m Find A B A t i t a d i d a m i m a C i t i d i m a t a d a m 16 B i t a t i d a d D i t t a i d d a i m m a Find the indicated cardinal number 17 Find n D B given that B 1 3 and D 7 8 9 10 A 12 B 16 C 8 2 17 D 7 Show that the set has cardinal number 0 by establishing a one to one correspondence between the set of counting numbers and the given set Be sure to check the pairing of the general nth elements 18 18 3 6 9 12 A 0 1 2 3 n B 1 2 3 4 n 3 6 9 12 3n 3 6 9 12 3n C 1 2 3 4 n D 1 2 3 4 n 3 6 9 12 n 3 6 9 12 4n For the given sets construct a Venn diagram and place the elements in the proper region 19 U 2 4 6 8 10 12 A 2 6 10 B 2 4 8 C 2 8 10 12 A B C D 3 19 Shade the regions representing the set 20 A B 20 A B C D 21 n 8 9 10 11 A 4 21 C B c 0 D 11 22 The numbers in the Venn Diagram below represent cardinalities n A B C A 27 B 13 C 14 Convert the symbolic compound statement into words 23 p represents the statement It s Monday q represents the statement It s raining today Translate the following compound statement into words p q A It s Monday or it s raining today B It s not Monday or it s not raining today C It s not the case that it s Monday and raining today D It s not Monday and it s not raining today 4 22 D 21 23 Let p represent a true statement while q and r represent false statements Find the truth value of the compound statement 24 p q r 24 A True B False Let p represent 7 8 q represent 2 5 6 and r represent 3 2 Decide whether the statement is true or false 25 q r 25 A True B False Construct a truth table for the statement 26 s p s A s p s p s T T F F C s T F T F p T T F F T F T F 26 T F T T s p s T T T T B s p s p s T T F F D s T F T F p F T T T s p s T T F F T F T F F F T T Use De Morgan s laws to write the negation of the statement 27 2 9 or 4 15 A 2 9 or 4 15 B 2 9 and 4 15 C 2 9 or 4 15 27 D 2 9 or 4 15 Write the negation of the conditional 28 If she doesn t study she won t pass her math test A If she …