标题: GMAT Tip: You Don’t Need to Solve for S [打印本页]
作者: wendy~ 时间: 2016-7-13 16:43 标题: GMAT Tip: You Don’t Need to Solve for S
Memorizing endless numbers of formulas is never the path to high-scoring success on the GMAT. Nevertheless, formulas can give you a leg up – provided you understand how to use them appropriately.
As with any quantitative question, the key is to be flexible, incorporating a variety of approaches to efficiently get to the correct answer choice. Problems that are primarily geometry-based are where utilizing formulas you have memorized can be the most helpful. Equilateral triangles are very commonly tested questions and knowing the formula for the area of an equilateral triangle:
s^2(sqrt 3) / 4
Can save you valuable seconds rather than taking the steps to derive the area of said equilateral triangle using common ratios and/or the pythagorean theorem.
But GMAT questions are never as easy and straight-forward as plugging in an equation. Consider this question for example:
If an equilateral triangle has an area of (sqrt 243), then what is the perimeter of that triangle?
1. 6
2. 12
3. 18
4. 27
5. 81
As with any quantitative problem, the first step is assessing and evaluating what your end game should be in selecting an answer choice. Here, we have been asked to solve for the perimeter of the triangle – which implies that the answer choice is each side multiplied by 3.
Many test takers, then, look at the formula and try to solve for s:
s^2(sqrt 3) / 4 = (sqrt 243)
But what steps next do we take? If we multiply both sides by 4, we are still left with square roots on both sides. Can we square both sides to get rid of the square root? Then, does s^2 become s^4?
Even test takers who are very comfortable working backwards and forwards from complex formulas have a high chance of making a mistake solving for s in the short period of time we have for this question.
Instead, recognizing we can work backwards from the answer choices is a much more efficient, and likely more accurate, way of getting to the correct answer.
Provided we’ve recognized the answer choices are perimeter and divided by 3, we should recognize the numbers we need to work backwards from are:
1. 2
2. 4
3. 6
4. 9
5. 27
From here, we can plug these values into the equation s^2(sqrt 3) / 4. To cut down on the amount of calculation we do, as effective test takers always try to do with quantitative questions, we can also estimate some aspects of the equation.
Ask yourself: what is the sqrt 243 close to? If we know our squares (as we should!) then we know it is between 15^2 and 16^2 – 225 and 256.
We can also estimate the second square root – the (sqrt 3) is just a bit less than 2 (aka (sqrt 4)).
Quickly, we can work backwards and know with little effort that A) 2 is much too small and D) 9 and E) 27 are too large. B) 4 might be worth doing a few more calculations for, but C) 6 is clearly the contender answer.
(6)^2 ( 2) / 4 = 18, which is reasonably close to a number between 15 and 16.
There are a few risks we do take in this question, but if we try working it out two different ways – derived or by fudging numbers and getting “close” answers – we cut down on our calculation time significantly, and can apply that leftover time to a later more challenging problem.
When tackling your next geometry question, consider if using this mixed approach will help you get to the right answer more quickly!
作者: Kuai 时间: 2016-8-3 17:10
谢谢分享...
作者: Beterfi 时间: 2016-8-31 10:22
O(∩_∩)O谢谢
作者: durability 时间: 2016-9-20 14:04
Mark一下!!!
作者: scatter 时间: 2016-10-8 16:10
赞赞赞赞赞赞赞赞
作者: 痕迹 时间: 2016-10-19 15:53
~\(≧▽≦)/~
作者: Doubt 时间: 2016-10-31 14:32
Mark一下!!!
作者: probably 时间: 2016-11-10 13:45
O(∩_∩)O谢谢...
作者: Siwen 时间: 2016-11-22 17:36
谢谢楼主的分享...
作者: ostrich89 时间: 2016-12-1 11:30
~\(≧▽≦)/~
作者: allocate 时间: 2016-12-8 13:00
赞赞赞赞赞
作者: guise 时间: 2016-12-15 14:30
~\(≧▽≦)/~
作者: Most 时间: 2016-12-23 11:53
赞赞赞赞赞赞
作者: Manager 时间: 2016-12-30 11:32
O(∩_∩)O谢谢...
作者: Upbringing 时间: 2017-1-9 10:17
赞赞赞赞赞
作者: probably 时间: 2017-1-13 13:28
O(∩_∩)O谢谢....
作者: Lioner 时间: 2017-1-19 10:53
(⊙o⊙)?
作者: scatter 时间: 2017-2-10 10:35
谢谢分享....
作者: 浪花 时间: 2017-2-28 16:21
thanks......
作者: colony 时间: 2017-3-28 14:36
顶顶顶~
作者: Tirita 时间: 2017-12-26 16:05
~\(≧▽≦)/~
作者: Profane 时间: 2018-1-16 15:16
thanks...
作者: making 时间: 2018-1-23 14:49
回复 22# Profane
谢谢分享
作者: making 时间: 2018-1-23 14:50
回复 23# making
谢谢分享
作者: making 时间: 2018-1-23 14:50
回复 24# making
谢谢分享
作者: making 时间: 2018-1-23 14:51
回复 25# making
谢谢分享
作者: Open 时间: 2018-2-1 16:39
赞赞赞赞赞
作者: Happysun 时间: 2018-2-28 15:05
Mark...
作者: sag 时间: 2018-3-12 11:24
O(∩_∩)O谢谢...
作者: kelley 时间: 2018-3-16 15:34
Mark!!!
作者: W先生 时间: 2018-3-23 16:36
(个_个)顶顶顶
作者: False 时间: 2018-4-10 15:51
thanks
作者: outbreak 时间: 2018-4-28 12:13
Mark一下!!!
作者: 静静 时间: 2018-5-21 13:52
thanks...
作者: Fasrt 时间: 2018-6-7 11:25
Thanks♪(・ω・)ノ
作者: Sonfa 时间: 2018-7-5 13:02
赞赞赞赞赞
作者: aside 时间: 2018-8-1 17:10
Thanks♪(・ω・)ノ
作者: Diving 时间: 2018-8-28 11:34
Thanks♪(・ω・)ノ
作者: Kricane 时间: 2018-10-9 15:29
Thanks♪(・ω・)ノ
作者: 人生如戏 时间: 2018-10-30 16:43
Thanks♪(・ω・)ノ
作者: Doubt 时间: 2018-11-14 12:08
作者: Wange 时间: 2018-11-28 16:27
顶顶顶顶顶顶顶
作者: House 时间: 2018-12-10 14:48
Thanks♪(・ω・)ノ
作者: Raneron 时间: 2018-12-19 12:26
thanks.....
作者: Hendeare 时间: 2018-12-29 10:43
thanks....
作者: arouse 时间: 2019-1-15 11:56
Thanks♪(・ω・)ノ...
作者: Mind 时间: 2019-1-31 11:09
mark一下!
作者: Rainhow 时间: 2019-2-20 14:44
支持支持...
作者: Allbody 时间: 2019-3-7 16:37
mark mark
作者: Bonde 时间: 2019-3-22 15:21
赞赞赞赞赞赞赞赞
作者: empty 时间: 2019-4-3 16:55
thanks for sharing...
作者: pingp 时间: 2019-4-16 14:26
赞一个~
作者: sodasnow 时间: 2019-4-25 13:28
作者: jiajun 时间: 2019-5-6 10:47
围观围观...
作者: Profane 时间: 2019-5-14 17:03
thanks for sharing...
作者: Kingsily 时间: 2019-5-22 11:44
O(∩_∩)O谢谢...
作者: Nobody 时间: 2019-5-31 13:42
顶一顶...
作者: Jennye 时间: 2019-6-13 10:49
赞楼主...
作者: chillsy 时间: 2019-6-21 12:51
学习学习...
作者: powerful 时间: 2019-6-28 12:15
谢谢分享...
作者: Wandst 时间: 2019-7-5 13:27
thanks...
作者: Nobody 时间: 2019-7-12 13:24
thanks~
作者: Jeones 时间: 2019-7-22 10:24
O(∩_∩)O谢谢
作者: bosom 时间: 2019-7-30 12:37
谢谢分享!
作者: ruddy 时间: 2019-8-7 10:37
谢谢分享...
作者: Ronge 时间: 2019-8-16 11:01
感谢感谢........
作者: Xianbe 时间: 2019-8-26 14:05
O(∩_∩)O谢谢.....
作者: kelley 时间: 2019-9-3 16:26
顶一顶~
作者: Wante 时间: 2019-9-11 13:52
谢谢!
作者: Demmy 时间: 2019-9-20 15:26
谢谢分享
作者: Amount 时间: 2019-9-30 10:38
谢谢分享
作者: making 时间: 2019-10-14 17:33
O(∩_∩)O谢谢...
作者: estimation 时间: 2019-10-24 10:31
谢谢分享
作者: Chenng 时间: 2019-11-4 10:22
mark mark
作者: Noteworthy 时间: 2019-11-14 14:52
thanks!!
作者: heaped 时间: 2019-11-25 16:45
谢谢分享~
作者: Kat 时间: 2019-12-9 14:26
thanks.....
作者: Aousey 时间: 2019-12-19 14:15
看一看~
作者: outbreak 时间: 2020-1-3 14:51
thanks!!!
作者: Kingsily 时间: 2020-1-17 10:10
Mark一下……
作者: Energy 时间: 2020-2-10 15:35
thanks~
作者: making 时间: 2020-2-18 11:37
欢迎光临 国际顶尖MBA申请交流平台--TOPWAY MBA (http://forum.topway.org/) |
Powered by Discuz! 7.2 |