SAT数学试题详解

 

北外SAT想通过下面一组试题让读者对SAT数学有一个直接的感受。这些题目均来自SAT考试试题,故请注意它们的出题方式,难易程度,特别是语言的表述方法。希望读者读一读,想一想,做一做。如果你的英语基础比较好,看一看能否在较短的时间内完成它们。考试时的解题速度应该在平均1道题70秒钟以内。


1.试题


1. If 10+x is 5 more than 10, what is the value of 2x ?


(A)-5 (B) 5 (C) 10 (D) 25 (E) 50


2. If(x -2)2 =49, then x could be


(A) -9 (B) -7 (C) 2 (D) 5 (E) 9


3. If this page was folded along the dotted line in the figure above, the left half of the letter W would exactly coincide with the right half of W. Which of the following letters, as shown, CANNOT be folded along a vertical line so that its left half would coincide with its right half?


(A) A (B) I (C) O (D) U (E) E


4. In a certain store, the regular price of a refrigerator is $600. How much money is saved by buying this refrigerator at 20 percent off the regular price rather than buying it on sale at 10 percent off the regular price


with an additional discount of 10 percent off the sale price?


(A) $6 (B) $12 (C) $24 (D) $54 (E) $60


5. Which of the following is the graph of a function f such that f(x) = 0 for exactly two values of x between


-5 and 5 ?


(A) (B)


(C) (D)


(E)


6. Based on the portions of the graphs of the functions f and g shown above, what are all values of x between -6 and 6 for which g x f x ?


(A) -6 < x <-3 only (B) -3 < x < 0 only (C) 0 < x < 3 only


(D) 3 < x < 6 only (E) -6 < x < -3 and 0 < x < 3。


7. Point O is the center of both circles in the figure above. If the circumference of the large circle is 36 and the radius of the small circle is half of the radius of the large circle, what is the length of the darkened arc?


(A) 10 (B) 8 (C) 6 (D) 4 (E) 2


8. If x = 20 and y = 30 in the figure above, what is the value of z ?


(A) 60 (B) 70 (C) 80 (D) 90 (E) 100


9. If 6 < |x-3| < 7 and x < 0, what is one possible value of |x| ?


10. What is the product of the smallest prime number that is greater than 50 and the greatest prime number that is less than 50 ?


2.答案


1.(C), 2. (E), 3. (E), 4.(A), 5.(D), 6. (B), 7. (D), 8. (B), 9.x < 4, 10.1300