Problem
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Answer
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Factor completely the expression 2x^3 + 5x^2 + 3x.
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x(x+1)(2x+3)
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In rolling a pair of dice, what is the probability of getting a sum of 5 or 6?
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1/4
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The area of an equilateral triangle is 9(sqrt3) square cm. What is its perimeter in centimeters?
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18
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If a*b=sqrt(a^2 + b^2), what is the value of (3*4)*12?
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13
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Suppose that x, y, and z are positive integers such that xy=6, xz=10, and yz=15. What is the value of xyz?
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30
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The yearly changes in the population of a certain town for two consecutive years are 20% increase on the first year and 20% on the second year. What is the net change increase in percent over the two-year period?
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44
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The area of a triangle is 200 sq. cm. What will be its area if its altitude is increased by 10% and its base is decreased by 10%?
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198
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In a university, 60% of the students are female and 700 of the students are male. How many students are there in all?
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1750
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How many degrees does the minute hand rotate from 6:10 PM to 7:45 PM of the same day?
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570
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Simplify: (103 x 97) - (106 x 94).
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27
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A fair coin is tossed five times. What is the probability of getting exactly three heads?
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5/16
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Three polygons fit exactly together around a point on a plane surface. One is a square and another is a hexagon. How many sides does the third polygon have?
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12
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Interestingly, it is true that (3!)(5!)(7!) is equal to n!. What is n?
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10
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If today is Tuesday, what day of the week will it be after (2019)(2018)(2017) days?
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Monday
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Four men working for four days can paint 4 cars. How many cars can 6 men working for 6 days paint?
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9
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The lengths of the sides of a triangle are 10, 17 and 21 cm. How many centimeters is the altitude of the triangle to the longest side? Express your answer in decimal.
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16.8
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The product od three consecutive positive integers is 21 times their sum. What is the sum of the three numbers?
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24
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Given that the diagonal of a rectangle is 9 cm and its area is 44 sq. cm, compute for its perimeter.
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26
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Find the maximum value of k so that the radius of the circle x^2 + y^2 - kx + 4y + 9 = 0 is equal to 4.
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8
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Find the sum of all 3-digit odd positive integers.
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227500
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