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2021年GRE数学趋势大解剖

2021-06-22 20:43:44

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2020年开始,延续到2021年以来,轻舟·考满分GRE不断收集到学员反馈:


GRE数学题,不断在推陈出新,而且题干越来越长,越来越看不懂,越!来!越!像!阅!读!题!

 到底GRE数学考试在如何变化?难度增加了吗?考试范围变化了吗?
 
接下来,就由我从三个角度,介绍GRE数学考试最近以来的趋势!
 

趋势一 · 运算量不断变大

首先,越来越多的GRE数学题,重点考查考生计算能力

是的,你没听错,真真就是硬数、硬算能力。

这就要求我们的学员具备足够的运算功底,而且必须非常仔细,一丝不苟,避免马虎计算错误。
 
比如3月刚刚出炉的这道题——

【过往命中时间】2021年3月19日大陆地区线下


n≥3

an=3an-1+2an-2

a5=5, a7=17

Quantity A: a2

Quantity B: 0


A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal.
D. The relationship cannot be determined from the information given.


其实GRE数学当中很多的数列题,都是类似本题这样的。

千万不要带着国内数学做大题的思维,非得做大量冗长繁琐的列式推理。

只需要按照已知项间公式,推理、计算、或者估算,即可快速定位答案。
 
再比如去年底以来非常热门的这道题——

【过往命中时间】2020年11月13日大陆地区线下;2020年11月20大陆地区线下;2020.08.06


0<P*Q<100, P and Q are both prime numbers,and P<Q,how many combinations of P and Q are there?


在对质数定义清晰、50以内质数熟练记忆的基础上,你需要做的,就是快速列举,统计总可能性。
 

趋势二 · 同考点题不断推陈出新

其次,我们的同学务必需要注意的是,GRE数学的题库是非常大的,题目千变万化。

所以,切勿盲目各种刷题、背题。


一定要掌握核心的考查角度和相应的解题技巧,才能快速求解。

比如下边这道新题——

【过往命中时间】2021年3月19日大陆地区线下


Set A={1, 5, 9, 13, 10}

Set B={1, 5, 9, 13, 9}

Set C={1, 5, 9, 13, 7}

Set D={1, 5, 9, 13, 5}


Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?


A. A<B<C<D

B. A<B=D<C

C. D<B<C<A

D. C<B=D<A

E.  A<D<B<C


如何在不代入标准差计算的前提下,快速估计标准差,比较大小关系并排序?

让我们首先将上边这道题,对比一下2020就已经收入轻舟·考满分GRE数学题库的下边这道题——

【过往命中时间】2020.08.24北美地区线上


Set A={9, 13, 4, 2, 7}

Set B={9, 13, 4, 2, 9}

Set C={9, 13, 4, 2, 4}

Set D={9, 13, 4, 2, 6}


Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?


A. A<B<C<D

B. A<B<D<C

C. D<B<C<A

D. C<B<D<A

E. A<D<B<C 


虽然两道题数据不太一样,但是很容易发现,考点应该是相似的。

当我们的学员,做过下边这道题,并且跟随老师学过相关的性质与解题技巧,那么考试的时候,即使遇到上边这道2021年新题,一定也可以在15秒之内锁定答案。
  

趋势三 · 题干越来越长

最后,跟同学感知到是一样的——的确,我们观察到部分GRE数学题目,题干也太长了。

自去年下半年以来,我们已经收集到一些像是阅读老师出的数学题了。
 
比如这道——

【过往命中时间】2020年12月13日大陆地区线下;2018.3

【词汇量】151


At a certain company, employees who earn $20.00 per hour will be given an increase of $1.00 per hour. For each of the other employees, either the employee will be given an increase of $1.00 per hour or the employee will be given a percent increase equal to the percent increase that will be given to the employees who earn $20.00 per hour, whichever results in a larger increase for that employee. 


Which of the following statements are true?Indicate all such statements.


A. An employee who earns less than $20.00 per hour will be given a percent increase that is greater than the percent increase that will be given to the employees who earn $20.00 per hour.

B. An employee who earns $22.00 per hour will be given an increase of $1.10 per hour.

C. An employee who earns $24.00 per hour will earn $25.20 per hour after the increase.

 
再比如这样的——

【过往命中时间】2020年11月04日北美地区线上;2020年10月25大陆地区线下;2020年5月

【词汇量】146


On her walk today, Emma walked along a straight path between the entrance to her house, H, and the entrance to library, L, passing a crosswalk sign, J, and then a crosswalk sign, K. First Emma walked from H to J and then turned around and walked back from J to H. Then she walked directly from H to L, stopping briefly at J and K on her way. The total distance that Emma walked from H to J and back from J to H was 2/9 of the distance that she walked directly from H to K and 1/6 of the distance that she walked directly from H to L. If Emma walked a total of 420 meters during her walk today. What was the distance, in meters, that she walked from K to L?


A. 84

B. 90

C. 100

D. 105

E. 120



又比如这样的——

【过往命中时间】2020年12月5日大陆地区线上

【词汇量】112


In a game, the cards in a certain deck are distributed to players one at a time until each player has the same number of cards and there are not enough cards left in the deck to distribute one more card to each player. The number of cards in the deck is between 60 and 100. If the cards in the deck are distributed to 5 players, 2 cards will be left in the deck. If the cards in the deck are distributed to 6 players, 4 cards will be left. If the cards in the deck are distributed to 7 players, how many cards will be left in the deck?


______cards


这些题目,首先考查同学的,真真是阅读能力

如何读懂题目?如何提取关键信息?如何识别题干背后的数学模型?
 
接下来,才是如何利用数据工具进行分析与运算?如何快速运算与求解?
 
面对数量众多的GRE数学新题,
如何快速把握核心?
如何清晰定位自己的薄弱点?
如何针对性拔高与突破?
欢迎加入我的GRE数学课堂!