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Mathematical Ideas, 13th Edition Test Bank

Mathematical Ideas, 13th Edition Test Bank enhances your understanding of exam topics with a detailed breakdown of key principles and solved examples.

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    MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Decide whether the argument is an example of inductive or deductive reasoning. 1) His last four at bats were strikeouts . Therefore, the next will be a strikeout . A) Deductive B) Inductive Answer: B 2) Fresh fruit costs more in winter. This is January. Therefore these fresh strawberries will cost more. A) Inductive B) Deductive Answer: B 3) Every coach knows his sport well. John Madden is a football coach. Therefore John Madden knows football well. A) Deductive B) Inductive Answer: A 4) 31 + 31 = 62, 23 + 3 = 26, 37 + 11 = 48. Therefore, the sum of two prime numbers is even. A) Inductive B) Deductive Answer: A 5) Practice makes perfect. I have practiced. Therefore, I'll be perfect. A) Inductive B) Deductive Answer: B 6) All U.S. Presidents have come from the original 48 states. Therefore, no U.S. President can be from Alaska. A) Deductive B) Inductive Answer: B 7) | - p| = p, therefore | - 59| = 59 A) Inductive B) Deductive Answer: B 8) If ( - p)2 = p2, then ( - 3)2 = 9 A) Inductive B) Deductive Answer: B Determine the most probable next term in the sequence. 9) 4, 7, 10, 13, 16 A) 18 B) 22 C) 20 D) 19 Answer: D 10) 38, 31, 24, 17, 10 A) 7 B) 0 C) 3 D) 2 Answer: C 11) 486, 162, 54, 18, 6 A) 1 B) 2 C) 2 3 D) 3 Answer: B 1

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    12) 4 , - 20 , 100 , - 500 , 2500 A) - 4500 B) - 12,500 C) 12,500 D) 4500 Answer: B 13) 3 2 , 5 4 , 7 6 , 9 8 , 11 10 A) 13 12 B) 13 11 C) 12 11 D) 12 13 Answer: A 14) 1, 4, 1, 4, 4, 1, 4, 4, 4, 1, 4, 4, 4, 4, 1, 4, 4, 4, 4, 4 A) 4 B) 14 C) 1 D) 1 4 Answer: C 15) 1, - 1 3 , 1 9 , - 1 27 , 1 81 A) 1 729 B) - 1 243 C) - 1 729 D) 1 243 Answer: B 16) 1, 5, 2, 10, 4, 20 A) 8 B) 30 C) 40 D) 6 Answer: A 17) 0002, 0020, 0200, 2000, 2002 A) 2000 B) 2200 C) 2020 D) 2003 Answer: C 18) 8, 13, 20, 29, 40, 53 A) 70 B) 68 C) 64 D) 66 Answer: B Use inductive reasoning to predict the next equation. 19) 66 - 64 + 62 - 60 = 67 - 65 + 63 - 61 76 - 74 + 72 - 70 = 77 - 75 + 73 - 71 A) 86 + 84 - 82 - 80 = 87 + 85 - 83 + 81 B) 86 - 84 - 82 + 80 = 87 - 85 + 83 - 81 C) 86 + 84 - 82 + 80 = 87 + 85 - 83 + 81 D) 86 - 84 + 82 - 80 = 87 - 85 + 83 - 81 Answer: D 20) 8 × 10 = 9 × 11 - 19 10 × 12 = 11 × 13 - 23 A) 12 × 14 = 13 × 15 - 25 B) 12 × 14 = 13 × 15 - 27 C) 12 × 14 = 13 × 15 + 25 D) 12 × 14 = 15 × 23 - 27 Answer: B 2

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    21) 3 × 3 = 9 33 × 33 = 1089 333 × 333 = 110,889 A) 333 × 3333 = 11,108,889 B) 3333 × 3333 = 111,889 C) 3333 × 3333 = 112,889 D) 3333 × 3333 = 11,108,889 Answer: D 22) 5 × 6 = 7 × 8 - (5 + 6 + 7 + 8) 6 × 7 = 8 × 9 - (6 + 7 + 8 + 9) A) 7 × 8 = 9 × 10 - (7 + 8 + 9 + 10) B) 7 × 8 = 9 × 10 - (5 + 6 + 7 + 8 + 9 + 10) C) 8 × 9 = 10 × 11 - (7 + 6 + 5 + 4) D) 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11) Answer: A 23) (1 × 9) - 7 = 2 (21 × 9) - 7 = 182 (321 × 9) - 7 = 2882 A) (4321 × 9) - 7 = 28,882 B) (4321 × 9) - 7 = 3881 C) (4321 × 9) - 7 = 38,882 D) (432 × 9) - 7 = 38,882 Answer: C 24) (7 × 1) x (2 × 1) = 14 (7 × 10) x (2 × 2) = 280 (7 × 100) x (2 × 3) = 4200 A) (7 × 1000) x (2 × 4) = 63,000 B) (7 × 1000) x (2 × 4) = 56,000 C) (7 × 1000) x (2 × 4) = 5600 D) (7 × 1000) x (2 × 4) = 49,000 Answer: B 25) 37,037 × 3 = 111,111 37,037 × 6 = 222,222 37,037 × 9 = 333,333 37,037 × 12 = 444,444 A) 37,037 × 18 = 666,666 B) 37,037 × 13 = 481,481 C) 37,037 × 15 = 555,555 D) 111,111 × 15 = 1,666,665 Answer: C 3

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    26) 1 3 = 1 2 1 - 1 3 1 3 + 1 9 = 1 2 1 - 1 9 1 3 + 1 9 + 1 27 = 1 2 1 - 1 27 1 3 + 1 9 + 1 27 + 1 81 = 1 2 1 - 1 81 A) 1 3 + 1 9 + 1 27 + 1 81 + 1 729 = 1 2 1 - 1 729 B) 1 3 + 1 9 + 1 27 + 1 81 + 1 162 = 1 2 1 - 1 162 C) 1 3 + 1 9 + 1 27 + 1 81 + 1 243 = 1 3 1 - 1 243 D) 1 3 + 1 9 + 1 27 + 1 81 + 1 243 = 1 2 1 - 1 243 Answer: D 27) 8(5) = 10(5 - 1) 8(5) + 8(25) = 10(25 - 1) 8(5) + 8(25) + 8(125) = 10(125 - 1) 8(5) + 8(25) + 8(125) + 8(625) = 10(625 - 1) A) 8(5) + 8(25) + 8(125) + 8(625) + 8(1250) = 10(1250 - 1) B) 8(5) + 8(25) + 8(125) + 8(625) + 8(3125) = 10(3125 - 1) C) 8(5) + 8(25) + 8(125) + 8(625) + 8(3125) = 8(3125 - 1) D) 8(5) + 8(25) + 8(125) + 8(625) + 8(5000) = 10(5000 - 1) Answer: B Use the method of Gauss to find the sum. 28) 1 + 2 + 3 + . . . + 850 A) 180,625 B) 361,675 C) 722,500 D) 361,250 Answer: B 29) 1 + 2 + 3 + . . . + 1000 A) 500,000 B) 500,500 C) 1,002,001 D) 250,000 Answer: B 30) 1 + 2 + 3 + . . . + 675 A) 228,150 B) 456,976 C) 227,812.5 D) 113,906.25 Answer: A 31) 2 + 4 + 6 + . . . + 500 A) 15,625 B) 62,500 C) 252,004 D) 62,750 Answer: D 32) 4 + 8 + 12 + . . . + 700 A) 61,250 B) 490,000 C) 61,600 D) 7656.25 Answer: C 4

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    Find a pattern and use it to solve the problem. 33) Find the next term: F , S , S , M , T A) W B) F C) T D) S Answer: A 34) Find the next term: 1, 1, 2, 3, 5, 8, 13 A) 15 B) 21 C) 18 D) 16 Answer: B 35) Find the next term: 2, 3, 5, 7, 11, 13 A) 15 B) 16 C) 19 D) 17 Answer: D 36) Find the next term: 5 , 10 , 15 , 25 A) 35 B) 55 C) 30 D) 50 Answer: A 37) Find the next term: T, F, S, E, T, T, F A) T B) S C) E D) F Answer: B 38) Find the next term: 25 , 4 , 21 , 6 , 15 , 8 A) 23 B) 0 C) 7 D) 11 Answer: C 39) How many line segments are used in the next figure? A) 36 B) 27 C) 24 D) 30 Answer: D 40) How many triangles are in the next figure? A) 36 B) 16 C) 12 D) 18 Answer: B 41) Draw the next figure in the pattern. A) B) C) D) Answer: D 5

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    42) Draw the next figure in the pattern. A) B) C) D) Answer: D Determine if the sequence is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 43) 4 , 9 , 14 , 19 , 24 , . . . A) neither B) arithmetic; 29 C) geometric; 29 Answer: B 44) 13 , 23 , 33 , 43 , 53 , . . . A) neither B) geometric; 63 C) arithmetic; 63 Answer: C 45) 5 , 10 , 20 , 40 , 80 , . . . A) neither B) geometric; 160 C) arithmetic; 160 Answer: B 46) 1701 , 567 , 189 , 63 , 21 , . . . A) neither B) geometric; 7 C) arithmetic; 7 Answer: B 47) 9 , 14 , 14 , 19 , 19 , . . . A) arithmetic; 24 B) neither C) geometric; 24 Answer: B 48) 5 , 8 , 13 , 20 , 29 , . . . A) arithmetic; 40 B) geometric; 40 C) neither Answer: C 49) 10 , 20 , 30 , 50 , 80 , . . . A) arithmetic; 130 B) neither C) geometric; 130 Answer: B 50) 0, 5 , 10 , 20 , 30 , . . . A) arithmetic; 40 B) geometric; 40 C) neither Answer: C 6

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    Use the method of successive differences to determine the next term in the sequence. 51) 21 , 41 , 63 , 87 , 113 , . . . A) 143 B) 142 C) 141 D) 139 Answer: C 52) 5 , 11 , 49 , 119 , 221 , . . . A) 386 B) 355 C) 387 D) 323 Answer: B 53) 10 , 17 , 36 , 75 , 142 , 245 , . . . A) 392 B) 384 C) 404 D) 400 Answer: A 54) 3 , 26 , 103 , 278 , 617 , 1208 , . . . A) 2139 B) 2161 C) 2183 D) 2151 Answer: B Determine what the next equation would be, and verify that it is indeed a true statement. 55) ( 7 × 1) × (2 × 1) = 14 (7 × 10) × (2 × 2) = 280 (7 × 100) × (2 × 3) = 4200 A) (7 × 1000) × (2 × 4) = 5600 B) (7 × 1000) × (2 × 4) = 63,000 C) (7 × 1000) × (2 × 4) = 56,000 D) (7 × 1000) × (2 × 4) = 49,000 Answer: C 56) 13 + 31 = 44 14 + 41 = 55 A) 15 + 51 = 66 B) 33 + 33 = 66 C) 15 + 51 = 62 D) 51 + 15 = 66 Answer: A 57) 20 - 9 = 11 200 - 89 = 111 2000 - 789 = 1211 A) 2000 - 6,789 = 13,211 B) 200,000 - 6,789 = 13,211 C) 20,000 - 6,789 = 13,211 D) 20,000 - 6,789 = 193,211 Answer: C 58) 44 × 44 = 1936 404 × 404 = 163,216 A) 4004 × 404 = 16,032,016 B) 4004 × 4004 = 1,617,616 C) 4004 × 4004 = 1,603,202 D) 4004 × 4004 = 16,032,016 Answer: D 7

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    59) 32 + 10 = 42 43 + 21 = 64 54 + 32 = 86 A) 65 + 32 = 97 B) 65 + 43 = 108 C) 56 + 43 = 99 D) 64 + 53 = 117 Answer: B 60) (1 × 9) - 5 = 4 (21 × 9) - 5 = 84 (321 × 9) - 5 = 2884 A) (4,321 × 9) - 5 = 3883 B) (4,321 × 9) - 5 = 38,884 C) (4,321 × 9) - 5 = 28,884 D) (432 × 9) - 5 = 38,884 Answer: B 61) 8 × 10 = 9 × 11 - 19 10 × 12 = 11 × 13 - 23 A) 12 × 14 = 15 × 23 - 27 B) 12 × 14 = 13 × 15 - 27 C) 12 × 14 = 13 × 15 + 25 D) 12 × 14 = 13 × 15 - 25 Answer: B 62) 8 × 9 = 10 × 11 - (8 + 9 + 10 + 11) 9 × 10 = 11 × 12 - (9 + 10 + 11 + 12) A) 11 × 12 = 13 × 14 - (11 + 12 + 13 + 14) B) 10 × 11 = 12 × 13 - (8 + 9 + 10 + 11 + 12 + 13) C) 10 × 11 = 12 × 13 - (10 + 11 + 12 + 13) D) 11 × 12 = 13 × 14 - (10 + 9 + 8 + 7) Answer: C 63) 3 2 - 1 2 = 2 × 4 4 2 - 2 2 = 2 × 6 5 2 - 3 2 = 2 × 8 A) 6 2 - 4 = 2 × 16 B) 6 2 - 4 2 = 2 × 10 C) 6 2 - 4 2 = 4 × 5 D) 7 2 - 5 2 = 2 × 12 Answer: B Use the indicated formula to find the sum. 64) Use S = n(n + 1) 2 to find the sum of 1 + 2 + 3 + . . . + 700. A) 244,650 B) 24,535 C) 245,000 D) 245,350 Answer: D 65) Use S = n(n + 1) 2 to find the sum of 1 + 2 + 3 + . . . + 625. A) 195,000 B) 194,376 C) 195,312 D) 195,625 Answer: D 8

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    66) Use S = n2 to find the sum of 1 + 3 + 5 + . . . + 701. A) 123,200 B) 122,500 C) 123,202 D) 123,201 Answer: D 67) Use S = n(n + 1) 2 to find the sum of 10 + 11 + 12 + . . . + 600. A) 180,264 B) 180,300 C) 179,664 D) 180,255 Answer: D 68) Use S = n2 to find the sum of 11 + 13 + ... + 901. A) 202,475 B) 203,376 C) 181,476 D) 203,401 Answer: B 69) Use S = n2 to find the sum of 1 + 3 + 5 + . . . + 499. A) 15,625 B) 124,002 C) 62,001 D) 62,500 Answer: D 70) Use S = n(n + 1) 2 to find the sum of 20 + 21 + 22 + . . . + 725. A) 262,985 B) 262,279 C) 263,004 D) 262,260 Answer: A 71) Use S = n(n + 1) 2 to find the sum of 1 + 2 + 3 + . . . + 3000. A) 4,499,999.5 B) 2,249,250 C) 4,501,500 D) 4,498,500 Answer: C Use the appropriate formula to find the indicated figurate number. 72) the 6th square number A) S6 = 12 B) S6 = 36 C) S6 = 21 D) S6 = 49 Answer: B 73) the 8th hexagonal number A) H8 = 120 B) H8 = 96 C) H8 = 40 D) H8 = 136 Answer: A 74) the 5th triangular number A) T5 = 30 B) T5 = 15 C) T5 = 10 D) T5 = 12.5 Answer: B 75) the 10th octagonal number A) O10 = 30 B) O10 = 150 C) O10 = 280 D) O10 = 125 Answer: C 76) the 16th heptagonal number A) Hp16 = 30.4 B) Hp16 = 640 C) Hp16 = 664 D) Hp16 = 616 Answer: D 9

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    77) the 8 th pentagonal number A) P 8 = 92 B) P8 = 36 C) P8 = 100 D) P8 = 64 Answer: A SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Solve the problem using inductive reasoning. 78) How many line segments are determined by joining dots on the last two circles? 3 segments 6 segments segments segments Answer: 4 + 3 + 2 + 1 = 10 segments 6 + 5 + 4 + 3 + 2 + 1 = 21 segments 79) Find the number of games played in a round robin tournament for the given numbers of teams. In a round robin tournament every team plays every other team once. Number of teams Number of games played 3 teams 3 games 4 teams 6 games 5 teams 10 games 6 teams games 7 teams games Answer: 5 + 4 + 3 + 2 + 1 = 15 games 6 + 5 + 4 + 3 + 2 + 1 = 21 games 80) Write the next three "square" figurate numbers. Answer: 4 2 = 16 52 = 25 62 = 36 81) Write the next three "triangular" figurate numbers. Answer: 10, 15, 21 10

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    82) How many rectangles are there in the last two figures? → 1 rectangle → 3 rectangles → ? rectangles → ? rectangles Answer: 6 + 5 + 4 + 3 + 2 + 1 = 21 rectangles 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 55 rectangles 83) When the numbers in the sequence of n - agonal numbers are divided by n, the sequence of remainders obtained is a repeating sequence. Verify this for n = 7 and find the repeating sequence of remainders. Answer: The pattern is 1, 0, 4, 6, 6, 4, 0, 1, 1, 0, 4, 6, 6, 4, 0, 1, . . .. 84) Choose a value of n greater than 1. Find Sn and multiply it by 3. Find Tn and multiply it by 2. Subtract the smaller number from the larger number. In other words calculate 3Sn - 2Tn. Repeat this for various values of n. What kind of figurate numbers do you get? Answer: Hexagonal MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine the indicated term in the given sequence. 85) The 12th term of 1, 7, 13, . . . A) 73 B) 66 C) 69 D) 67 Answer: D 86) The 9th term of 4 , 12 , 36 , . . . A) 8748 B) 26,244 C) 236,196 D) 6561 Answer: B 87) The 8th term of 5 , 20 , 80 , . . . A) 16,384 B) 81,920 C) 1,310,720 D) 327,680 Answer: B 88) The 16th term of 3 7 , 6 7 , 9 7 , . . . A) 45 7 B) 6 C) 39 7 D) 48 7 Answer: D 89) The 9th term of 5.9, 5.5, 5.1, . . . A) 2.3 B) 2.7 C) 3.1 D) 2.71 Answer: B 90) The 11th term of 3.47, 3.87, 4.27, . . . A) 7.47 B) 8.27 C) 7.87 D) 9.07 Answer: A 11

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    91) The 16th term of 3.48 , 3.59 , 3.7 , . . . A) 5.02 B) 5.24 C) 5.13 D) 4.91 Answer: C 92) The 11 th term of 3 , 6 , 12 , . . . A) 6144 B) 12,288 C) 1024 D) 3072 Answer: D 93) The 8th term of 1, 1 2 , 1 4 , . . . A) 1 2 B) 1 128 C) 1 512 D) 1 64 Answer: B 94) The 9th term of 1 4 , 1 8 , 1 16 , . . . A) 1 1024 B) 1 2048 C) 1 256 D) 1 72 Answer: A 95) The 7th term of 18, 6, 2, . . . A) 2 27 B) 2 729 C) 2 81 D) 2 243 Answer: C Use logic to solve the problem. 96) How much dirt is there in a hole 6 feet wide by 8 feet long by 10 feet deep? A) 480 ft3 B) 48 ft3 C) None D) 60 ft3 Answer: C 97) In India, water lilies grow extremely fast. In one pond, a lily grew so fast that each day it doubled the area it covered. In 30 days it covered the pond. How long would it take 2 such lilies to cover the pond? A) 29 B) 7 C) 15 D) 30 Answer: A SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 98) Which is heavier, a pound of soap bubbles or a pound of soap? Answer: They both weigh a pound. 99) Farmer Higgs owns 5 brown pigs, 3 white pigs, and one black pig. How many of Higgs' pigs can say that it is the same color as another pig on Higgs' farm? Answer: None. Pigs can't talk. 100) Dick and Tom find a long drainage pipe in a vacant lot. It is big enough so that each boy can just manage to squeeze into it and crawl from one end to the other. If Dick and Tom go into the pipe from opposite ends, is it possible for each boy to crawl the entire length of the pipe and come out the other end? Answer: Yes. First Dick crawls through in one direction. After he comes out, Tom crawls through it the other way. 12

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    101) Why are 1977 pennies worth almost twenty dollars? Answer: One thousand, nine hundred, seventy - seven pennies are worth $ 19.77 , which is almost twenty dollars. 102) If it takes 6 minutes to hard - boil 3 goose eggs when dropped into boiling water, how long will it take to hard - boil 6 goose eggs? Answer: The same time, 6 minutes. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 103) If the hometown baseball team scored 2 runs every inning played, and the visiting team scored 1 run every inning played, what was the final score? A) Home: 18 Visitors: 9 B) Home: 0 Visitors: 0 C) Home: 16 Visitors: 9 D) Home: 18 Visitors: 8 Answer: C 104) During vacation time, two students met on a train. One asked the other how old he was. He replied, "The day before yesterday I was 15, and next year I will have my 18th birthday." On what date of the year did the two students meet? A) Feb 29 B) Dec 31 C) Jan 1 D) Feb 28 Answer: C 105) A farmer had a stone weighing 40 pounds that he used to weigh pigs, but the stone broke into 4 pieces. The farmer found to his surprise that with the four pieces, he could weigh any whole number from 1 to 40. What did each of the 4 pieces weigh? A) 1, 3, 7, and 29 lb B) 1, 3, 9, and 27 lb C) 1, 4, 8, and 27 lb D) 1, 4, 9, and 26 lb Answer: B Use problem solving strategies to solve the problem. 106) I'm thinking of a number between 4 and 10. If I square my number and find the difference of the digits, I will end up with the cube root of my number. What is my number? A) 4 B) 15 C) 9 D) 8 Answer: D 107) A mouse is at the bottom of a 10 - foot - tall clock. Every hour he climbs up 3 feet. But when the clock strikes at the hour, he falls back 1 foot. If the mouse starts climbing at 8 a.m., at what time to the nearest minute will it reach the top of the clock? A) 12:40 p.m. B) 1:10 p.m. C) 12:30 p.m. D) 1:00 p.m. Answer: A 108) 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) July B) April C) March D) May Answer: B 109) Donna is older than Steve but younger than Brenda. Kelly is younger than Brandon. What is the first letter in the name of the oldest person? A) S B) D C) B D) K Answer: C 13

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    110) The number of dogs and chickens on a farm add up to 12. The number of legs between them is 28. How many dogs and how many chickens are on the farm if there are at least twice as many chickens as dogs? A) 4 dogs, 8 chickens B) 2 dogs, 10 chickens C) 6 dogs, 6 chickens D) 3 dogs, 9 chickens Answer: B 111) A boxer takes 3 drinks of water after each of the first three rounds of a championship fight. After the fourth round he increases the number of drinks by 1. If he continues to increase his drinks by 1 after each round, how many drinks will he take between the 14th and 15th rounds? A) 15 drinks B) 10 drinks C) 12 drinks D) 14 drinks Answer: D 112) What's the easiest way to heat a pan of water for 9 minutes when you have only a 6 - minute hour - glass timer and a 21 - minute hour - glass timer? A) Start the 6 - min timer. When it's halfway through start heating the water. When it runs out turn it over and heat the water until it runs out again. B) Start both timers. When the 6 - min one runs out, turn it over. When it runs out again, start heating the water until the 21 - min timer runs out. C) Start both timers. When the 6 - min timer runs out, start heating the water. Continue until the 21 - min timer runs out. D) Can't be done. Answer: B 113) There is a number between 100 and 115, such that if you find the sum of the cubes of the digits, subtract this sum from 99, divide the result by 3, and add the digits once more, you get 2. What is the number? A) 114 B) 102 C) 105 D) 113 Answer: A 114) There is a number between 2 and 8, such that if you raise any of the remaining numbers to the power of this number, the units digit of the result will always be equal to the base. What is the number? A) 8 B) 3 C) 2 D) 5 Answer: D Solve the problem. 115) If you raise 9 to the 387th power, what is the units digit of the result? A) 9 B) 6 C) 1 D) 7 Answer: A 116) If you raise 4 to the 214th power, what is the units digit of the result? A) 4 B) 2 C) 6 D) 8 Answer: C 117) Sally and Karl work at different jobs. Sally earns $7 per hour and Karl earns $5 per hour. They each earn the same amount per week but Karl works 2 more hours. How many hours a week does Karl work? A) 9 B) 11 C) 5 D) 7 Answer: D 118) An average library contains at least 50 and at most 250 books. How many library owners must be polled to be certain that at least two owners have the same number of books in their libraries? A) 200 owners B) 203 owners C) 202 owners D) 201 owners Answer: C 14

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    119) A cell has at least 3 and at most 47 nucleii. How many cells must a scientist view under his microscope to be certain that at least two cells have the same number of nucleii? A) 46 cells B) 45 cells C) 44 cells D) 47 cells Answer: A 120) A girl asks her father how many ties he has and he answers with a riddle: "Seven - eighths of my ties plus five." How many ties does her father have? A) 50 B) 35 C) 45 D) 40 Answer: D 121) When 5 gallons of gasoline are put into a car's tank, the indicator goes from 1 8 of a tank to 3 4 . What is the total capacity of the gasoline tank? A) 12 gallons B) 6 gallons C) 8 gallons D) 10 gallons Answer: C 122) five painters can paint two rooms in 7 hours. How many rooms can a painter paint in 1 hour? A) 14 rooms B) 7 10 of a room C) 2 35 of a room D) 5 14 of a room Answer: C 123) Ethan was asked by his teacher to subtract 10 from a certain number and then divide the result by 5. Instead, he subtracted 5 and then divided the result by 10, giving an answer of 25. What would his answer have been if he had worked the problem correctly? A) 49 B) 51 C) 50 D) 24.5 Answer: A Determine the number of figures (of any size) in the design. 124) Squares (of any size) A) 13 B) 12 C) 18 D) 17 Answer: D 15

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