MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 6)
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Muhammad Yusuf
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69. What is the smallest positive integer with factors of 16, 15 and 12?
70. Point A has coordinates (x, 6). When Point A is reflected over the y-axis it lands on Point B. What is the sum of the four coordinate values of points A and B?
71. An equilateral triangle and a square have equal perimeters. The side of the triangle measures 8 cm. What is the area of the square, in square centimeters?
72. Isaac wrote the integers from 1 through 104, inclusive. How many digits did he write?
73. What is 20% of 1/4 of 120?
74. Each day Siggy The Squirrel gathers 20 nuts and eats 14 nuts. If Siggy is starting June with 0 nuts, after how many consecutive days of collecting and eating nuts will he have enough nuts to eat until the end of June without collecting any additional nuts?
75. The measures of the angles of a triangle are in a ratio of 3:5:7. What is the degree measure of the largest angle?
76. The product of two consecutive positive integers is 380. What is the sum of the two integers?
77. What multiple of 15 is closest to 2009?
78. The width, length and height of a rectangular prism are each increased by 10%. What is the percent increase in the volume of the prism? Express your answer to the nearest whole number.
79. What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively?
80. Khalil has to shovel snow off the sidewalk in front of his house. The sidewalk is 20 feet long and 2 feet wide. If the snow is 1/2 foot deep, how many cubic feet of snow does Khalil have to shovel off the sidewalk?
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