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 Yesterday each of the 35 members of a certain task force spent some time working on project P. The graph shows the number of hours and the number of members who spent that number of hours working on project P yesterday. What was the median number of hours that the members of the task force spent working on project P yesterday?
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$${C}{n \choose m}=\frac{m!}{[(m-n)!n!]}$$ for nonnegative integers m and n, $$m \ge n$$. If $${C}{3 \choose 5}={C}{x \choose 5}$$ and $$x \neq 3$$, what is the value of x?
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If x and y are positive integers, and $${x}^{3}{y}^{4}={2000}$$, which of the following is the value of $$xy$$?
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A wholesaler bought 1,200 radios for $18 each. The wholesaler sold 60 percent of the radios for $30 each and the rest for $15 each. What was the wholesaler’s average (arithmetic mean) profit per radio?
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If n is a positive integer, what is the remainder when $$7^{4n+3}6^n$$ is divided by 10 ?
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PREP07 Test 1
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 A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?
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PREP07 Test 1
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If a, b, c, and d are consecutive even integers and a ＜ b ＜ c ＜ d, then a + b is how much less than c + d ?
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PREP07 Test 1
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3 teaspoons = 1 tablespoon4 tablespoons = $$\frac{1}{4}$$ cupAccording to the information above, how many teaspoons are equal to $$\frac{3}{8}$$ cup?
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 The table above shows the results of a recent school board election in which the candidate with the higher total number of votes from the five districts was declared the winner. Which district had the greatest number of votes for the winner?
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For any number x, [ x ] denotes the greatest integer less than or equal to x. What is the value of $$[-\frac{10}{4}]$$
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If the integer n has exactly three positive divisors including, 1 and n, how many positive divisors does $${n}^{2}$$ have
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If xy=165, where x and y are positive integers and x＞y, what is the least possible value of x – y ?
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In the xy-plane, line n passes through the origin and has slope 4. If points (1, c) and (d, 2) are on line n, what is the value of $$\frac{c}{d}$$?
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What is the maximum integer value of M for which $$\frac{12!}{2^M}$$ is an integer?
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If $$\mathbf{y}={4}+({x}-{3})^{2}$$, then y is least when x =
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PREP07 Test 2
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A rectangular region has a fence along three sides and a wall along the fourth side. The fenced side opposite the wall is twice the length of each of the other two fenced sides. If the area of the rectangular region is 128 square feet, what is the total length of the fence, in feet?
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How many different positive integers are factors of 441?
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Magoosh
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Today, Bill is thirteen times as old as Pete. In nine years, Bill will be four times as old as Pete. How old will Pete be 2 years from today?
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Magoosh
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What is the value of x?
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Magoosh
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When 100 is divided by positive integer x, the remainder is 2. What is the remainder when 198 is divided by x?
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