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Archive | Integer Properties

Positive and Negative Square Roots on the GRE

Some questions to start: Can a square root be negative? Yes, there is such a thing as a negative square root. How would you deal with negative roots on the GRE? This question is actually fairly complicated, because it depends on how the GRE words the question. Let’s start with some practice problems before I […]

How to Round to the Nearest Integer | GRE Math

What does it mean to round a number? Rounding means to make a number shorter or simpler, but keeping it as close in value as possible to the original number. Let’s take a closer look: Rounding to the nearest integer The most common type of rounding is to round to the nearest integer.  The rule […]

GRE Math – Exponent Challenge

A relatively common exponent question on the GRE will ask you to figure out the units digit of some number raised to an exponent, which usually results in a number roughly equivalent to the number of grains of sand in the Sahara, and thus out of reach of the GRE calculator. Take a look at […]

Breakdown of the Most Commonly Tested GRE Quant Concepts

The 2nd edition Official Guide has just been released. At the back of the book is a new test (GRE Practice Test 2). In general, the concept break down is not surprising, if you look at the concepts that pop up in Practice Test 1 (which is the same as the practice test in the […]

GRE Division, Mixed Numerals, and Negatives

This is a post to clarify a potentially confusing passage in the OG.  In the GRE OG 2e, on p. 134, as well as in ETS’s GRE Mathematical Conventions PDF on p. 5, point 9, we find a paragraph discussing quotients and remainders that utilizes the formula n = qd + r. This formula pertains […]

GRE Quant: The Difference of Squares

If you’ve been studying GRE for some time, you’ve very likely encountered the following: . You may, however, only seen the following equation in the context of algebra. Nevertheless, the formula above applies to number properties. Let’s take a look. While you may be tempted to make a mad dash at it, calculating each of […]

GRE Exponents: Practice Question Set

Each of the math questions below is directly inspired by a question in the on-line Revised GRE test. I’ve provided an easier version of the question (#1) and a more difficult version of the question (#2). My recommendation is to try the easier version first. Then, if you answer it correctly, click on the link, […]

GRE Math: Absolute Values

On average you will see at least one question on the Revised GRE dealing with absolute values. You may even see a few. Yet, absolute value gets lost in the prep fray amongst the more popular concepts. So if you don’t want this relatively innocuous concept to surprise you test day read on.   What […]

GRE Math Basics: Quick Tips

Prime numbers 2 is the smallest prime number 2 is the only prime even number 1 is not a prime 3, 5, 7 are the only three consecutive odd integers that are each a prime.   Digits In the integer 5,432, 5 is the thousands digit, 4 is the hundreds digit, 3 is the tens […]

GRE Math Video Lessons: Exponents

Exponents are troublesome; fortunately, they do not need to be. What I plan to do in this series is show you the basics, so that you can move confidently through the intermediate level, and even the advanced level. I’ve created three lessons, corresponding to basic, medium, and advanced. You can watch them here: Exponents Level 1 […]