sat problems from site
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10/1 , 11/5
18:29Section 9
Directions: For this section, solve each problem and decide which is the best of the choices given.Click on the corresponding radio button.
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1
If , then
• (A)
• (B)
• (C)
• (D)
• (E)
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2
In the figure above, , , and lie on the same line. is the center of the
larger circle, and is the center of the smaller circle. If the radius of the
larger circle is , what is the radius of the smaller circle?
• (A)
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• (B)
• (C)
• (D)
• (E)
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3
Roy planted corn on of his land. If he planted acres of corn, how many
acres of land does he have?
• (A)
• (B)
• (C)
•
(D)
• (E)
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4
The first number in the list above is . Which of the following gives a rule forfinding each successive number in the list?
• (A) Add to the preceding number.
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• (B) Take of the preceding number and then add to that result.
• (C) Double the preceding number and then subtract from that result.
• (D) Subtract from the preceding number and then double that result.
• (E) Triple the preceding number and then subtract from that result.
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5
The two semicircles in the figure above have centers and , respectively.
If , what is the total length of the darkened curve?
•
(A)
• (B)
• (C)
• (D)
• (E)
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6
If and are positive numbers and , then
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• (A)
• (B)
• (C)
• (D)
• (E)
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7
The table above shows the populations of two countries and their population
densities. The number of square miles in the area of Country isapproximately how much greater than the number of square miles in the area
of Country
• (A)
• (B)
• (C)
• (D)
• (E)
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8
If , which of the following must be true?
• (A)
• (B)
• (C)
• (D)
• (E)
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9
Let the function of be defined by , where is a constant.
If , what is the value of ?
• (A)
• (B)
• (C)
• (D)
• (E)
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10 A number is called "even-odd" if it is halfway between an even integer and anodd integer. If is an even-odd number, which of the following must be true?
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. is an integer.
. is even-odd.
. is halfway between two even integers.
• (A) only
• (B) only
• (C) and only
• (D) and only
• (E) , , and
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11
If is a positive integer, which of the following is NOT equal to ?
• (A)
• (B)
• (C)
• (D)
• (E)
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12
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According to the graph above, in which year was the ratio of the number of
students enrolled at School to the number of students enrolled at Schoolthe greatest?
• (A)
• (B)
• (C)
• (D)
• (E)
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13
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In the figure above, . Which of the following must equal ?
• (A)
• (B)
• (C)
• (D)
• (E)
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14
How many different ordered pairs are there such that is an even
integer, where , and is an integer, where ?
•
(A)
• (B)
• (C)
• (D)
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• (E)
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15
The function above can be used to model the population of a certain
endangered species of animal. If gives the number of the species living
decades after the year , which of the following is true about the
population of the species from to ?
• (A) It increased by about .
• (B) It increased by about .
• (C) It decreased by about .
• (D) It decreased by about .
• (E) It decreased by about .
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16 A sphere of radius inside a cube touches each one of the six sides of thecube. What is the volume of the cube, in terms of ?
• (A)
• (B)
• (C)
• (D)
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• (E)
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Tom and Alison are both salespeople. Tom's weekly compensation consists
of plus percent of his sales. Alison's weekly compensation consists
of plus percent of her sales. If they both had the same amount of
sales and the same compensation for a particular week, what was that
compensation, in dollars? (Disregard the dollar sign when gridding your
answer.)
If is a positive integer, which of the following is NOT equal to ?
• (A)
•
(B)
• (C)
• (D)
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• (E)