Five Strategies for Conquering 700 Level Quant Questions
Let me start off by saying that hard work and mastering each question topic is the best way to conquer the GMAT. There is no Up-Up-Down-Down-Left-Right-Left-Right B, A, Start cheat code that can replace months of intense studying. That said, getting a 700+ score on the GMAT sometimes means having a few tricks up your sleeves. Here’s a few strategies that I’ve found to be helpful with gaining a few extra points at the very top of the GMAT curve:
1) Know your PEMDAS and your SADMEP
In other words, you have to know your parenthesis, exponents/roots, multiplication, division, addition, and subtraction, backwards and forwards. For as many students as I have worked with, I have yet to come across a student who can barely work through a multiplication table, yet still manages to consistently finish the quant portion of the GMAT. Even though you only need to answer 37 quantitative questions, this will entail hundreds of math calculations- calculations that far too many of us have left to the machines (I for one welcome our new calculator overlords). If the average straightforward calculation takes five seconds and a student sees two hundred of these calculations over an average test, that’s sixteen minutes and forty seconds of just doing simple arithmetic. And if it takes you twice as long to do each of those calculations, that’s going to take, umm, well, it’s…. it’s going to take a lot longer.
Translating Words into Math
I’ve spoken with several students recently who are struggling with translating wordy quant problems into the actual math necessary to set up and solve the problem. Some people make too many mistakes when doing this, and others find that, though generally accurate, they take more time than they can afford. In the next two articles (this is part 1!), we’re going to talk about how to translate efficiently and effectively.
We’re going to do this by example: I’ll provide short excerpts from OG or GMATPrep problems, and then we’ll discuss how to know what to do, how to do the actual translation, and how to do so efficiently. Note that I’m not going to provide the full text of problems “ and, therefore, we’re not going to solve fully. That’s not our goal today.
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Challenge Problem Showdown – February 26th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
How much greater is the square of the sum of three different positive integers than the sum of their squares?
(1) The sum of the products of all possible pairs of two different integers out of the original set of three is 61.
(2) The largest of the three integers, 7, is equal to the sum of the two smaller integers.
Challenge Problem Showdown – February 13th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
Standing on the origin of an xy-coordinate plane, John takes a 1-unit step at random in one of the following 4 directions: up, down, left, or right. If he takes 3 more steps under the same random conditions, what is the probability that he winds up at the origin again?
Inequalities
Today we’ve got an inequalities data sufficiency question on tap from GMATPrep. Set your timer for 2 minutes and go!
Is m + z > 0?
(1) m “ 3z > 0
(2) 4z “ m > 0
This is a yes/no data sufficiency question. I’m just going to remind myself of the rules: an always yes answer to a statement is sufficient, an always no answer is also sufficient, and a maybe or sometimes yes / sometimes no answer is not sufficient.
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Challenge Problem Showdown – January 30th, 2012
We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!
Here is this week’s problem:
For all positive integers n and m, the function A(n) equals the following product:(1 + 1/2 + 1/22)(1 + 1/3 + 1/32)(1 + 1/5 + 1/52)…(1 + 1/pn + 1/pn2), where pn is the nth smallest prime number, while B(m) equals the sum of the reciprocals of all the positive integers from 1 through m, inclusive. The largest reciprocal of an integer in the sum that B(25) represents that is NOT present in the distributed expansion of A(5) is
Announcing the New Advanced GMAT Quant Strategy Guide
Exciting news “ our Advanced Quant Strategy Guide is finally ready for prime time! We’re also launching a Foundations of Verbal book; click on the link to read about that one.
Who should use this book? Great question. Are you already at the 70th-plus percentile (minimum) on quant and you’re looking to push yourself well into the 90s? This book is for you. In addition, please note that this book assumes that you have already worked through our five regular Strategy Guides (or the equivalent material from another company).
To give you an idea of what to expect, excerpts from the new Advanced Quant guide are below. The main point I want to make is that this book covers both advanced concepts / mathematical material, and advanced problem solving processes. Both are critical for a 90th-plus percentile test-taker.
Okay, without further ado, here’s excerpt #1, an introduction to a methodical solving style inspired by mathematician George Polya. Read more
Rephrasing Data Sufficiency Questions
Data sufficiency problems can be a lot of fun because we don’t actually have to solve all the way to the end of the problem. At the same time, data sufficiency problems can be maddening because of the way in which the information is worded. Often, especially on harder questions, the question stem or statements in a data sufficiency problem are worded in such a tricky way that we’re not sure of the significance of the information after we’ve read it.
This lesson is all about how to Rephrase the information in a more useful way. (For those who have taken or are planning to take our class, the Rephrasing lesson occurs during class 1, though I’ve changed the order in which the types are presented in this article.) Read more