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101
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An open box in the shape of a cube measuring 50 centimeters on each side is constructed from plywood. If the plywood weighs 1.5 grams per square centimeter, which of the following is closest to the total weight, in kilograms, of the plywood used for the box? (1 kilogram = 1,000 grams)
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102
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A garden center sells a certain grass seed in 5-pound bags at $13.85 per bag, 10-pound bags at $20.43 per bag, and 25-pound bags at $32.25 per bag. If a customer is to buy at least 65 pounds of the grass seed, but no more than 80 pounds, what is the least possible cost of the grass seed that the customer will buy?
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103
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If $$x = - | W |$$, which of the following must be true?
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104
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Which of the following lines in the xy-plane does $$\underline {not}$$ contain any point with integers as both coordinates?
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105
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A certain financial institution reported that its assets totaled $2,377,366.30 on a certain day. Of this amount, $31,724.54 was held in cash.Approximately what percent of the reported assets was held in cash on that day?
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106
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In the correctly worked addition problem shown, where the sum of the two-digit positive integers AB and BA is the three-digit integer
AAC,and A, B, and C are different digits, what is the units digit of the integer AAC?
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107
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Planning is in progress for a fenced, rectangular playground with an area of 1,600 square meters. The graph above shows the perimeter, in meters, as a function of the length of the playground. The length of the playground should be how many meters to minimize the perimeter and, therefore, the amount of fencing needed to enclose the playground?
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108
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$$3r \leq {4s+5}$$
$$| s | \leq 5$$
Given the inequalities above, which of the following CANNOT be the value of r ?
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109
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If m is an even integer, v is an odd integer, and m > v > 0, which of the following represents the number of even integers less than m and greater than v ?
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110
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A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9. If n is a positive integer, for which of the following values of k is $$25 \times 10^{n} + k \times 10^{2n}$$ divisible by 9?
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111
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The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?
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111
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The perimeter of rectangle A is 200 meters. The length of rectangle Bis 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?
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112
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On the number line, the shaded interval is the graph of which of the following inequalities?
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113
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Last year members of a certain professional organization for teachers consisted of teachers from 49 different school districts, with an average (arithmetic mean) of 9.8 schools per district. Last year the average number of teachers at these schools who were members of the organization was 22. Which of the following is closest to the total number of members of the organization last year?
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114
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Of all the students in a certain dormitory, $$\frac{1}{2}$$ are first year students and the rest are second-year students. !f $$\frac{4}{5}$$ of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are· second-year students who have not declared a major?
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115
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If the average (arithmetic mean) of x, y, and z is 7x and $$ x\neq 0$$, what is the ratio of x to the sum of y and z?
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116
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In the coordinate plane, line k passes through the origin and has slope 2. If points (3,y) and (x,4) are on line k, then $$x + y$$ =
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117
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If a, b, and c are constants, a > b > c, and $$x^{3} ‒ x = (x ‒ a)(x ‒ b)(x ‒ c)$$ for all numbers x, what is the value of b ?
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117
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If a, b, and care constants, a> b > c, and $$x^{3} - x = (x - a)(x - b)(x - c)$$ for all numbers x, what is the value of b?
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118
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$$17^{3}+17^{4}$$=
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