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SAT模拟考试题:SAT数学练习题(15)

2016-08-11 16:55:05来源:网络

  Question #5: Two diameters of a circle create an angle AOB of 45o between them. What is the length of arc AB if the radius of the circle is 10/¶?

SAT模拟考试题:SAT数学练习题

  (a) 5/2

  (b) 3/2

  (c) 2

  (d) 4

  (e) 6

  Answer: The circumference of the circle is 2·¶·r = 2·¶·10/¶ = 20.

  The ratio between the length of arc AB and the circumference of the circle is equal between the ratio between the 45o angle and 360o.

  In conclusion, AB = 20 · 45o/360o = 20/8 = 5/2.

  Question #6: A bus travels from town A to town B for 2 hours at a speed of 60 miles/hour. The bus stops in town B for 2 hours and then travels from town B to town C for 1 hour, at a speed of 50 miles/hour. What is the average speed of the bus?

  (a) 30miles/hour

  (b) 31miles/hour

  (c) 32miles/hour

  (d) 34miles/hour

  (e) 40miles/hour

  Answer: The distance the bus travels from A to B is 60 miles/hour · 2 hours = 120 miles.

  Then, the bus travels from B to C: 50 miles/hour · 1 hour = 50 miles.

  The total distance traveled is 120 + 50 = 170 miles and the total time is 2 hours + 2 hours stop + 1 hour = 5 hours.

  In conclusion the average speed was 170 miles / 5 hours = 34 miles/hour.

  Question #7: If a·b + b·c + c·a = 0, what is (a + b)2 + (b + c)2 + (c + a)2?

  (a) a2 + b2 + c2

  (b) 2·(a2 + b2 + c2)

  (c) (a2 + b2 + c2)/2

  (d) a2 + a + b2 + b + c2 +c

  (e) (a + b + c)/2

  Answer: (a + b)2 + (b + c)2 + (c + a)2 = 2·(a2 + b2 + c2) + 2·(a·b + b·c + c·a)

  Since a·b + b·c + c·a = 0, the correct result is 2·(a2 + b2 + c2).

  Question #8:

  Column AColumn B

  x2 + 1x + 1

  (a) The quantity in Column A is greater then the quantity in Column B.

  (b) The quantity in Column B is greater then the quantity in Column A.

  (c) The two quantities are equal.

  (d) The relationship cannot be determined from the information given.

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本文关键字: SAT模拟考试 SAT数学

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