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 […]

# Archive | Math Question Types

## Can You Use a Calculator on the GRE?

This is a very popular question, and the answer often elicits a sigh of relief. So, I’ll get it out of the way: yes, you can use a calculator. The GRE calculator. But using a calculator whenever you can is not always the best idea. We’ll share why mental math is just as important to […]

## GRE Math Questions & Practice

According to ETS (the makers of the GRE), the GRE Quantitative Reasoning measure is a test that assesses your basic math skills, understanding of simple math concepts, ability to reason quantitatively, and aptitude for solving problems using quantitative methods. This is just a fancy way of saying that you better know your math concepts, and […]

## Challenging GRE QC Problems on Number Properties

Here are nine GRE Quantitative Comparison questions, ranging in difficulty from moderate to quite hard (arguably as hard as, or perhaps harder than, anything you would see on the GRE Quant section). Solutions will come at the end of the article. Remember: don’t touch a calculator! 1) 2) 3) […]

## GRE Quantitative Comparison Geometry Practice Problems

Here is a batch of 7 practice QC questions. Explanations will come at the end of the article. 1) In the diagram, AC = 6. CE = 12, DF = 4, and AB is parallel to DE. 2) 3) In the diagram, JL = 4 and JK = 6. 4) In […]

## GRE Quantitative Comparison Practice Problems

Here are ten practice QC questions. All of these can and should be done without a calculator. Solutions will come at the end of this article. 1) 2) The number n is an integer greater than 2 3) The number x satisfies the restriction 4) 5) Set S consists of the elements {a, b, b, c} […]

## Mean, Median and Mode on the GRE

Over the last six months, I’ve gone through quite a few Revised GRE prep books. One thing I’ve noticed missing is difficult questions relating to mean, median, and mode. Sure, most books describe how to find the average, and what the difference between the mean and the median. Many already know the above, but mean, […]

## Does Order Matter? Combinations vs. the Fundamental Counting Principle on the GRE

When trying to decide whether to use the combination formula, many students have trouble applying the “does order matter” test–deciding if outcomes differ. It’s easy to say order doesn’t matter when it in fact does, and vice versa. Once you get it, it’s really useful, but it can take a bit of thinking and re-thinking. […]

## GRE Math Challenge – Numeric Entry

Below are some tough word problems that require both close reading and sharp problem solving skills. To make these already difficult questions even more fiendish, I’ve made each a Numeric Entry question (sorry, no cool boxes). In some of the questions below, there are a few possible solution paths, some more elegant than others. If […]

## GRE Math: Solving Quantitative Comparisons

First off, here’s a tricky algebraic QC: 1) x > -3 If you find this puzzling, this article discusses an efficient method for handling such problems. Before we talk about that, a quick refresher on a few basic ideas dealing with equations and inequalities. Intro to Arithmetic Suppose you have an equation, P = Q. […]