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Magoosh
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In a certain class, x students are 10 years old, and the remaining y students are 11 years old. What is the average (arithmetic mean) age of all students in the class?
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Magoosh
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A series is defined, for positive integer n, by$$a_{n}={{n+1}\over{n+3}}-{{n}\over{n+2}}$$
What is the sum of the first 60 terms of this series?
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Magoosh
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If 20 percent of 3k is 6, what is 40 percent of k?
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Magoosh
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If n is an integer greater than 50, then the expression $$(n^{2} – 2n)(n^{2} – 1)$$ MUST be divisible by which of the following?I. 8II. 12III. 18
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Magoosh
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At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If the total number of pigs, cows and chickens is 300, how many chickens are there?
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Magoosh
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$$(3*10^{20})·(3*10^{-5})$$=
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Magoosh
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Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?I. {35, 38, 43, 51, 64}II. {10, 16, 26, 42, 68}III. {46, 59, 67, 72, 75}
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Magoosh
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In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?
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Magoosh
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The points A(0, 0), B(0, 4a - 5) and C(2a + 1, 2a + 6) form a triangle. If ∠ABC=90°, what is the area of triangle ABC?
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Magoosh
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In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt?
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Magoosh
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If AC = BC and CD = DE then, in terms of x, the value of y isNote: Figure not drawn to scale
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Magoosh
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 The above 11 x 11 grid of dots is evenly spaced: each dot is separated by one unit, vertically or horizontally, from its nearest neighbors. Drawn in the diagram is a single right triangle with legs of length 2 & 1. How many right triangles, of this particular size and shape, in any orientation, can be formed by three dots from this grid?
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Magoosh
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At a certain symphonic concert, tickets for the orchestra level were $50 and tickets for the balcony level were $30. These two ticket types were the only source of revenue for this concert. If R% of the revenue for the concert was from the sale of balcony tickets, and B% of the tickets sold were balcony tickets, then which of the following expresses B in terms of R?
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Magoosh
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A sum of money was distributed among Lyle, Bob and Chloe. First, Lyle received 4 dollars plus one-half of what remained. Next, Bob received 4 dollars plus one-third of what remained. Finally, Chloe received the remaining $32. How many dollars did Bob receive?
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Magoosh
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Given that $$n = 10^{a} + 10^{b} + 10^{c}$$, where a, b, and c are distinct positive integers, how many different positive values of n result if n is less than 1 billion (1,000,000,000) ?
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Magoosh
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$$\sqrt{0.00001}$$=
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Magoosh
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If a and b are integers and$$(\sqrt[3]{a}*\sqrt{b})^{6} = 500$$, then a + b could equal
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Magoosh
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If p and q are two different odd prime numbers such that p < q, then which of the following must be true?
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Magoosh
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 In the diagram above, the triangle is equilateral with a side of 2. All three circles are of equal size and all are tangent to each other and to two sides of the triangle. Which of the following is the radius of one of the circles?
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Magoosh
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At a certain university, 60% of the professors are women, and 70% of the professors are tenured. If 90% of the professors are women, tenured, or both, then what percent of the men are tenured?
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