2014年1月北美sat真题_数学

The surface area of a sphere with radius r is 4nr2.)
11. In the figure above, ABCD is a square with sides of length 6. If X is the midpoint of side AB,
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(A) (B) (C) 1 2
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3. If 2x + 2y = 36 and x = 8, how much greater is y than x?
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SECTION 3
Time - 25 minutes . 20 Questions
Turn to Section 3 (page 4) of your answer sheet to answer the questions in this section.
(A) 1K (B) 1M (C) KL (D) KM (E) ML
(D)
(E)
!!:.. + n 3 = 2n - 5
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and if Z is the midpoint of side CD, what is the areHale Waihona Puke Baidu of AXYD ?
(A) 108n (B) 176n
. (A) 13 (B) 13.5 (C) 14 (D) 14.5 (E) 15
(C) 216n (D) 288n (E) 324n
12. If there are exactly 6 possible arrangements of n different letters in a row from left to right, what is the value of n?
(A) (B) 6 8 (C) 10 (D) 11 (E) 12
Half of the sum of n and the cube of n is 5 less than twice n.
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10. Which of the following is equivalent to the statement above.?
(A) A (B) B (C) C
(D) 60
(E) 70
(D) D
(E) E
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(A) 9.845 (B) 9.932 (C) 9.983 (D) 9.992 (E) 9.998
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7. If a number rounded to the nearest hundredth is 9.99, which of the following could be the number?
7 8 8.5 9 9 10 12 14 14 15 16 16 9. Sonia and 11 of her classmates worked on a class fundraiser. The list above shows the number of hours each of these 12 students worked. Exactly half of these students worked fewer hours than Sonia. How many hours did Sonia work?
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A = nr2 C=2nr
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A= fw
A=Zbh
v= ew/z
V =nr 2h
c 2 =a 2 +b 2
Special Right Triangles
The number of degrees of arc in a circle is 360. The slim of the measures in degrees of the angles of a triangle is 180. 2. A shop that is open from 10:00 in the morning to 3:00 in the afternoon sells hats and dresses. The shop offers a 15 percent discount on all dresses sold before 12:00 noon. The shop offers a 10 percent discount on all hats sold after 12:00 noon. Which of the following must be true? (A) If it is not 12:00 noon, then the shop is not offering any discounts. (B) If it is 12:00 noon, then the shop is offering a 25 percent discount on all hats and dresses. (C) If it is 1:00 in the afternoon, then the shop is offering a 15 percent discount on all dresses . (D) If it is 5:00 in the afternoon, then the shop is offering a 15 percent discount on all hats. (E) If it is 11 :30 in the morning, then the shop is offering a 15 percent discount on all dresses.
Directions: For this section, solve each problem and decide which is the best of the choices given. Fill in the corresponding circle on the answer sheet. You may use any available space for scratch work. 1. The use of a calculator is permitted. 2. Allllumbers used are real numbers. 3. Figures that accompany problems in this test are intended to provide information useful in solving the problems. They are drawn as accurately as possible EXCEPT when it is stated in a specific problem that the figure is not drawn to scale. All figures lie in a plane unless otherwise indicated. 4. Unless otherwise specified, the domain of any function f is assumed to be the set of all real numbers x for which /(x) is a real number.
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5. In the figure above, lines f. and m are parallel, B is the center of the circle, and line m is tangent to the circle. If AC = 30, what is the distance between lines f. and m ?
(x + y)2 < 10
1. Which of the following ordered pairs (x, y) does NOT
satisfy the inequality above?
(A) (-5, 1) (B)
(-3,2) (C) (0,2)
(D)
(1, 1) (3, 0)
(E)
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(A) (B) (C) (D)
(D) 10
(E) 16
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(E) 20
AGES OF FIVE MARRIED COUPLES 70
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d)
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w(t)
= 200t + 1,000
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r(t) = 150t + 2,500
6. The functions wand r above model the total savings, in dollars, by Winnie and Rudy, respectively, t months after they begin saving. If they begin saving at the same time, how many months after they begin saving will Winnie's savings and Rudy's savings be the same amount? 70
(A) 12 (B) 6 (C) 4 (D) 3 (E) 2
14. In a sequence, each term after the first is 7 more than the previous term. If the 15th term of the sequence is 108, what is the 85th term of the sequence?
(A) 10 · (B) 15 (C) 30
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50
B
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A
20 20
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30 40 50 60 Wife's Age (years)
4. Each of the five points in the scatterplot above shows the age of the husband and the age of the wife for a married couple. Which point in the scatterplot represents the married couple with the largest difference in age?
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13. The surface area of a sphere is 144n square inches. What is the volume of the sphere, in cubic inches? (The volume of a sphere with radius r is
(A)
~=2n-5
2
3
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_ _...L.L_ _....l. L M
(B)
n + n = 5 _ 2n 2 n + 3n = 2n _ 5 2 n + 3n = 2n + 5 2
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Note: Figure not drawn to scale.
(C)
8. In the figure above, KM .1 1L and ML > 1M. Of the following lengths, which is greatest?