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题目： A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28 ?

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题目： A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing $$16\frac{3}{4}$$ pounds. What is the maximum number of individual bags of dried fruit, each containing $$\frac{1}{4}$$ pounds, that can be sold from the dried fruit the club purchased?

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题目： A nursery sells fruit trees priced as shown in the chart above. In its inventory 54 trees are less than 5 feet in height. If the expected revenue from the sale of its entire stock is estimated at $2,450, approximately how much of this will come from the sale of trees that are at least 5 feet tall?

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题目： The sequence $$a_{1}$$, $$a_{2}$$, $$a_{3}$$, $$a_{4}$$,$$a_{5}$$ is such that $$a_{n}=a_{n-1}+5$$ for $$2\leq n\leq 5$$. If$$ a_{5} = 31$$, what is the value of $$a_{1}$$ ?

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题目： A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile= 5,280 feet)

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题目： If S = {0, 4, 5, 2, 11, 8), how much greater than the median of the numbers in S is the mean of the numbers in S ?

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题目： The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?

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题目： A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?

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题目： List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T?

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题目： In the figure above, what is the area of triangular region BCD?

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题目： What is the larger of the 2 solutions of the equation $$x^{2} - 4x = 96$$?

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题目： Of the goose eggs laid at a certain pond,$$\frac{2}{3}$$ hatched, and $$\frac{3}{4}$$ of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, $$\frac{3}{5}$$ did $$\underline{not}$$ survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

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题目： $$\frac{(39,897)(0.0096)}{198.76}$$ is approximately

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题目： If a square region has area n, what is the length of the diagonal of the square in terms of n ?

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题目： The "prime sum" of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example, the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 + 2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?