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# Archive | Math Question Types

## 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 […]

## Can You Use a Calculator on the GRE?

So, let’s get to the point. Can you use a calculator on the GRE? This is a very popular question, and the answer often elicits an audible sigh of relief. So, I’ll just get it out of the way: yes, you can use a calculator. The GRE calculator. Can you use a calculator on the […]

## 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 really just a fancy way of saying that you better know your math concepts […]

## 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} […]

## Magoosh Brain Twister: Get Your Factorials Straight!

For this week’s challenge, to keep the fun with factorials theme alive, I’ve come up with this little diabolical question. To add a little variety, I’ve made it a quantitative comparison question, which many forget can also make for a challenging question. Good luck! Column A 16!^100 – 9!^100 Column B (4!^100 – 3!^100)(4!^100 + […]

## 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, […]

## GRE Parallelogram Challenge Question

This is a very high-difficulty problem! This is a Numeric Entry question, so no answer choices– you’ll have to just type in your answer. Give yourself 2 minutes to do this question, and let me know how it goes! 🙂 Parallelogram PQRS has a perimeter of 24. PQ = 2QR and Angle PQR = 120 degrees. Parallelogram […]

## 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. […]