整理:SAT数学练习题精选(一)

2020-03-10 16:56 279137次浏览
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  在解答SAT数学选择题时,我们可能会找到很多种解答方法。但是,考生在考试的时候,不仅需要从题干给出的条件中找出逻辑关系,而且还需要从多个角度思考问题,尽量找到最便捷的答题途径。

  (1) 排除法。考生在考试的时候,在认真审题后,就要试着合理地排除答案。比如,我们很确定结果是正数,那么把负数的答案全部去掉。这样,可以节约很多时间。

  (2) 设定法。比如,一些数学题中经常出现相当难记的抽象变量,考生不妨尝试一些具体的数字来代替它们,从而简化计算。

  SAT数学练习题之一

  If a2 = 12, then a4 =

  A. 144

  B. 72

  C. 36

  D. 24

  E. 16

  Correct Answer: A

  解析:

  a4 = a2 x a2 = 12 x 12 = 144

  SAT数学练习题之二

  If n is even, which of the following cannot be odd?

  I n + 3

  II 3n

  III n2 - 1

  A. I only

  B. II only

  C. III only

  D. I and II only

  E. I, II and III

  Correct Answer: B

  解析:

  In case I , even plus odd will give odd. In case II, odd times even will give even. In case III even squared is even, and even minus odd is odd. (You can check this by using an easy even number like 2 in place of n). Only case II cannot be odd.

整理:SAT数学练习题精选(一)

  SAT数学练习题之三

  One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

  I 24

  II 20

  III 5

  A. I only

  B. II only

  C. III only

  D. II and III only

  E. I, II and III

  Correct Answer: D

  解析:

  The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ? x 8 x 5 = 20. We canalterthe angle between the sides to make it less or more than 90, but this will only reduce the area. (Draw it out for yourself). Hence the area can be anything less than or equal to 20.

  SAT数学练习题之四

  A certain animal in the zoo has consumed 39 pounds of food in six days. If itcontinues to eat at the same rate, in how many more days will its total consumption be 91 pounds?

  A. 12

  B. 11

  C. 10

  D. 9

  E. 8

  Correct Answer: E

  解析:

  Food consumed per day = 39/6. In the remaining days it will consume 91 - 39 pounds = 52 pounds. Now divide the food by the daily consumption to find the number of days. 52 / (39/6) = 52 x (6 / 39) = 8

  SAT数学练习题之五

  A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

  A. 8p

  B. pq

  C. pq + 27

  D. -p

  E. (p - q)6

  Correct Answer: C

  解析:

  A perfect cube will have primefactors that are in groups of 3; for example 125 has the primefactors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5. Consider the answer choices in turn. 8 is the cube of 2, and p is a cube, and so the product will also be a cube. pq will also be a cube as shown above.pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube. -p will be a cube. Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).  

  以上就是小编为大家整理的关于SAT数学考试考点及试题分析,希望对大家有所帮助。更多SAT成绩有效期、SAT培训哪家好等问题可以咨询我们。


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