MTH 231 Practice Test SKILLS Problems (Sections 3.3, 3.4, 4.1, 4.2, 5.1, 5.2) Provide an appropriate response.

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1 MTH 231 Practice Test SKILLS Problems (Sections 3.3, 3.4, 4.1, 4.2, 5.1, 5.2) Calculate / demonstrate using the expanded algorithm. Then do the same problem using the standard algorithm. 1) A) 878 B) 868 C) 1526 D) 778 Provide an appropriate response. 11) Place the digits 1, 2, 3, 7, and 8 in the following boxes so that the greatest product is obtained. 2) A) 6520 B) 642 C) 652 D) 552 3) A) 1499 B) 165 C) 65 D) 161 4) A) 566 B) 578 C) 478 D) 754 Use the scratch method to find the sum. 5) A) 2998 B) 2983 C) 3098 D) ) 18, , A) 109,486 B) 145,486 C) 108,481 D) 110,486 7) A) 1916 B) 1808 C) 1940 D) 1928 Calculate / demonstrate using the expanded algorithm. Then do the same problem using the standard algorithm. 8) A) 73,336 B) 73,436 C) 73,346 D) 73,326 9) A) 2798 B) 2788 C) 2888 D) ) A) 455,940 B) 455,850 C) 455,840 D) 455,830 12) Place the digits 1, 2, 3, 7, and 8 in the following boxes so that the greatest quotient is obtained. Find all the factors of the number. 13) 30 A) 1, 2, 3, 5, 6, 10, 20, 30 B) 5, 6, 10, 30 C) 1, 2, 3, 5, 6, 10, 15, 30 D) 1, 5, 6, 30 14) 36 A) 1, 2, 4, 6, 12, 18, 36 B) 1, 2, 3, 4, 5, 6, 9, 10, 12, 18, 36 C) 2, 4, 6, 12, 18, 36 D) 1, 2, 3, 4, 6, 9, 12, 18, 36 15) 56 A) 1, 2, 4, 7, 8, 14, 28, 56 B) 2, 4, 7, 8, 14, 28 C) 1, 2, 4, 7, 8, 14, 18, 28, 56 D) 1, 2, 3, 4, 7, 8, 14, 18, 28, 56 16) 66 A) 1, 2, 3, 6, 11, 22, 33, 66 B) 1, 3, 11, 22, 33, 66 C) 1, 2, 3, 4, 11, 16, 22, 33, 66 D) 1, 2, 3, 9, 11, 22, 33, 66 Decide whether or not the first number is divisible by the second. 17) 22,219; 2 18) 23,256; 6 1

2 Decide whether or not the first number is divisible by the second. 19) 186,096; 4 A) Yes B) No 20) 1,228,040; 8 A) Yes B) No 21) 848,394; 3 22) 583,866; 9 23) 663,795; 5 A) Yes B) No Find all values of the missing digit that make the statement true. 24) 4,3_1 is divisible by 3. A) 4, 6, 7, 8 B) 1, 4, 7 C) 1, 4, 7, 8 D) 3, 6, 9 25) 4,3_6 is divisible by 4. A) 4, 6, 8 B) 2, 4, 5, 7, 8 C) 1, 3, 5, 7, 9 D) 1, 3, 7, 9 26) 74,3_2 is divisible by 6. A) 2, 3, 6 B) 2, 4, 5 C) 2, 5, 8 D) 1, 5, 6, 8 Determine whether the number is abundant or deficient. 27) 8 A) Abundant B) Deficient 28) 162 A) Deficient B) Abundant 29) 72 A) Abundant B) Deficient 30) 65 A) Deficient B) Abundant 31) 34 A) Deficient B) Abundant Determine whether the statement is true or false. 32) If a natural number is divisible by 5 and 2, then it must also be divisible by 10. A) True B) False 33) No perfect numbers are also deficient numbers. A) True B) False 34) Zero is a multiple of every number. A) True B) False Identify the number as either prime or composite. 35) 66 A) Composite B) Prime 36) 23 A) Prime B) Composite 37) 286 A) Prime B) Composite 38) 113 A) Composite B) Prime Construct a factor tree for the given number. 39) 39 40) 52 41) 392 Find the prime factorization of the number, and write it in exponent form. 42) 612 A) B) C) D) ) 105 A) 52 3 B) 15 7 C) 32 7 D) ) 198 A) B) C) D)

3 45) 365 A) 52 B) C) 5 71 D) 5 73 Find the GCF of the numbers using an appropriate method. 46) 84 and 126 A) 42 B) 6 C) 14 D) 21 47) 44 and 567 A) 6 B) 77 C) 1 D) 22 48) 960 and 2700 A) 30 B) 180 C) 960 D) 60 49) 12, 24, and 32 A) 1 B) 12 C) 8 D) 4 Find the LCM for the given numbers by an appropriate method. 50) 84 and 42 A) 84 B) 42 C) 252 D) ) 56 and 96 A) 672 B) 168 C) 1344 D) ) 135, 56, and 150 A) 3780 B) 7560 C) 1,050 D) 37,800 53) 24, 54, and 27 A) 54 B) 108 C) 216 D) 72 Use the least common multiple or greatest common factor to solve the problem. 54) Mark has 153 hot dogs and 261 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 Mark can use to accomplish this? A) 493 B) 51 C) 9 D) 3 55) Planets A, B, and C orbit a certain star once every 3, 7, and 18 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) 28 months B) 126 months C) 54 months D) 378 months 56) Bobʹs frog can travel 5 inches per jump, Kimʹs frog can travel 9 inches, and Jackʹs frog can travel 13 inches. If the three frogs start off at point 0 inches, how many inches will it be to the next point that all three frogs touch? A) 27 inches B) 45 inches C) 585 inches D) 117 inches 57) Two runners run around a circular track. The first runner completes a lap in 5 minutes. The second runner completes a lap in 19 minutes. If they both start at the same place and the same time and go in the same direction, after how many minutes will they meet again at the starting place? A) 95 minutes B) 96 minutes C) 24 minutes D) 190 minutes 58) George has 756 donuts and 432 bagels. He wants to divide his bagels and donuts into stacks so that there are the same number of pastries in each stack. What is the greatest number of pastries that he can place in each stack? A) 108 B) 111 C) 110 D) 109 Provide the appropriate response. 59) What is the greatest prime number you must consider to test whether 5141 is prime? A) 101 B) 47 C) 71 D) 97 Tell which integer corresponds to the situation. 60) 395 feet above sea level A) -395 B) ) 39 below zero A) -39 B) 39 62) 37-pound gain A) 37 B) -37 3

4 63) $4006 in debt A) 4006 B) Write the subtraction as an addition. 64) A) B) 46 - (-15) C) 46 + (-15) D) None of the above 65) 35 - (-43) A) 35 - (43) B) 35 + (-43) C) D) None of the above List the numbers in increasing order. 66) -34, -86, -93, -50 A) -34, -86, -93, -50 B) -93, -86, -50, -34 C) -86, -93, -34, -50 D) -34, -50, -86, ) -2, 13, 0, -22 A) 13, 0, -2, -22 B) -22, -2, 0, 13 C) 0, -22, -2, 13 D) -2, -22, 0, 13 Solve the problem. 68) The stock market gained 21 points on Tuesday and lost 30 points on Wednesday. It had closed on Monday at 2630 points. Where did the market close on Wednesday? A) 2579 points B) 2681 points C) 2621 points D) 2639 points 69) During one year 14 new employees began work at Danielʹs Manufacturing Company and 36 employees left. At the beginning of the year there were 325 employees. What was the number of employees at the end of the year? A) 339 employees B) 275 employees C) 303 employees D) 375 employees 70) A football team gained 34 yards on one play, lost 21 yards on another, and gained 36 yards on the last play of the first half. They had already gained 369 yards during the half. What was the total yardage gain for the first half? A) 418 yards B) 460 yards C) 439 yards D) 320 yards 71) In four rounds of a card game, you get scores of -10, -6, -10, and 3. What is your final score? A) -9 B) 9 C) -23 D) 23 72) How many months are there in 39 years? A) 51 months B) 61 months C) 478 months D) 468 months 73) If a roll of wallpaper costs $30, how much will 13 rolls cost? A) $390 B) $45 C) $392 D) $43 74) Each year, 531 people move from Babbittown. How many people have moved from the town in 10 years? A) 5841 people B) 5310 people C) 5210 people D) 5320 people 75) A group of 3 people wants to buy a boat. The boat costs $309. If they all pay the same amount, how much is each personʹs share? A) $103 B) $113 C) $93 D) $77 76) Alicia sold $1800 in paintings at the art fair. If she sold 3 paintings total, and they all sold for the same amount, what was the price of one painting? A) $500 B) $594 C) $633 D) $600 77) Just Hardware has a profit of $137,522. This profit is to be divided evenly between 22 employee owners. Find the profit received by each owner. A) $18,596 B) $6251 C) $11,250 D) $3,025,484 Identify the property or theorem which justifies the statement. 78) 6 1 = 6 A) Multiplicative identity B) Multiplication property C) Additive identity D) Distributive property 4

5 79) (5 + 3) + 4 = (3 + 5) + 4 A) Associative property B) Addition property C) Distributive property D) Commutative property 87) If x is positive and y = -x, then x + y = 0. A) False B) Sometimes true C) True 80) = 2 A) Addition property B) Distributive property C) Additive identity D) Multiplicative identity 88) If x is positive and y = -x, then xy is negative. A) Sometimes true B) False C) True 81) 9(x + 4) = 9x A) Commutative property B) Distributive property C) Addition property D) Associative property 89) If x is positive and y = -x, then xy2 is positive. A) False B) True C) Sometimes true 82) 5 + (-5) = 0 A) Addition property B) Inverse property C) Additive identity D) Multiplicative identity 83) = A) Additive identity B) Commutative property C) Distributive property D) Associative property 84) 7 3 is an integer A) Inverse property B) Associative property C) Multiplicative identity D) Closure property 85) (3 2) 8 = 3 (2 8) A) Distributive property B) Multiplicative identity C) Commutative property D) Associative property Determine whether the statement is true, false, or sometimes true. 86) If x is positive and y = -x, then x2y > 0. A) True B) Sometimes true C) False 5

6 Answer Key Testname: MTH 231 REVIEW (SECTIONS 3.3,3.4,4.1,4.2,5.1,5.2) 1) A 2) C 3) B 4) B 5) A 6) D 7) D 8) A 9) B 10) C 11) 12) 13) C 14) D 15) A 16) A 17) A 18) B 19) A 20) A 21) B 22) B 23) A 24) B 25) C 26) C 27) B 28) B 29) A 30) A 31) A 32) A 33) A 34) A 35) A 36) A 37) B 38) B 39) ) ) ) C 43) D 44) C 45) D 46) A 47) C 48) D 49) D 50) A 51) A 52) D 53) C 54) C 55) B 56) C 57) A 58) A 59) C 60) B 61) A 62) A 63) B 64) C 65) C 66) B 67) B 68) C 69) C 70) A 71) C 72) D 73) A 74) B 75) A 76) D 77) B 78) A 79) D 80) C 81) B 82) B 6 83) B 84) D 85) D 86) C 87) C 88) C 89) B