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Problem 4

If a point \((x, y)\) is in the second quadrant, which of the following must be true? I. \(x0\) III. \(\frac{x}{y}<0\) (A) only I (B) only II (C) only III (D) only I and II (E) only I and III

Problem 9

How many integers are there in the solution set of \(| x-\) \(2 | \leq 5 ?\) (A) 0 (B) 7 (C) 9 (D) 11 (E) an infinite number

Problem 23

The statistics below provide a summary of IQ scores of 100 children. Mean: 100 Median: 102 Standard Deviation: 10 First Quartile: 84 Third Quartile: 110 About 50 of the children in this sample have IQ scores that are (A) less than 84 (B) less than 110 (C) between 84 and 110 (D) between 64 and 130 (E) more than 100

Problem 25

The polar coordinates of a point \(P\) are \(\left(2,240^{\circ}\right) .\) The Cartesian (rectangular) coordinates of \(P\) are (A) \((-1,-\sqrt{3})\) (B) \((-1, \sqrt{3})\) (C) \((-\sqrt{3},-1)\) (D) \((-\sqrt{3}, 1)\) (E) \((1,-\sqrt{3})\)

Problem 29

What is the probability of getting at least three heads when flipping four coins? (A) \(\frac{3}{16}\) (B) \(\frac{1}{4}\) (C) \(\frac{5}{16}\) (D) \(\frac{7}{16}\) (E) \(\frac{3}{4}\)

Problem 32

If a square prism is inscribed in a right circular cylinder of radius 3 and height \(6,\) the volume inside the cylinder but outside the prism is (A) 2.14 (B) 3.14 (C) 61.6 (D) 115.6 (E) 169.6

Problem 33

What is the length of the major axis of the ellipse whose equation is \(10 x^{2}+20 y^{2}=200 ?\) (A) 3.16 (B) 4.47 (C) 6.32 (D) 8.94 (E) 14.14

Problem 34

The fifth term of an arithmetic sequence is \(26,\) and the eighth term is \(41 .\) What is the first term? (A) 3 (B) 4 (C) 5 (D) 6 (E) 7

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