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# GMAT Math Basics

Getting started with GMAT math? Or just need a quick refresher on GMAT basics? This page provides you with all the GMAT math basics you need to give you a strong foundation for your exam preparation.

## Most Popular Posts About GMAT Math Basics

The topic of decimals, and patterns of decimals, seems to be of slightly greater interest to GMAC in the GMAT OG13e than in previous editions.  What decimals terminate?  What decimals repeat?  In this post, we’ll take a look at these questions. Rational Numbers Integers are positive and negative whole numbers, including zero.  Here are the […]

Students get lost when dividing square roots. So dividing by square roots can be really scary. But fear not! Mike shows you how to divide by a square root.
We've covered the "and" rule, as well as the "or" rule in probability. Today we'll look at the "at least" probability question, in preparation for the GMAT.

Learn one of the handiest tricks for math without a calculator!   Without a calculator, what is 1. 35 x 12? 2. 150 x 36? 3. 125 x 84? On the GMAT, you don’t get a calculator. With the doubling and halving trick, all of these become much easier.   Thinking about multiplication Every positive […]

These five GMAT math formulas are essential tools to a good Quant score! Use these formulas and accompanying practice problems to help with GMAT math!

A good deal of success in math is simply about careful detail management.  If you are, by nature, someone already comfortable with math, highly organized and detail oriented, probably none of these mistakes will plague your work.  This is a post for folks who may be a little rusty in math, and need to be […]

## Most Recent Posts About GMAT Math Basics

What's the difference between rates and ratios? Not much. Rates are ratios in disguise. But not all ratios are rates. Try some rate and ratios practice!

Here are five practice questions.  Remember: no calculator. 1) A car, moving at a constant speed, covers 100 m in 5 seconds.  What is the car’s speed in km/hr? (1 km = 1000 m) (A) 20 km/hr (B) 54 km/hr (C) 60 km/hr (D) 72 km/hr (E) 90 km/hr   2) Frank and Georgia started […]

Here are ten reasonably challenging problems on powers and roots.  Solutions follow the problems.   Remember, no calculator! Statement #1: x < 1 Statement #2: x > –1 4 8 14 28 42 5) If A is an integer, what is the value of A? 11 30 45 75 225   Powers & roots This is […]

Here are ten problems on fractions and decimals, some of which are quite challenging.  Remember, no calculator! (A) 0.1 (B) 1 (C) 10 (D) 100 (E) 1000 6)  Suppose you have access to a large vat of distilled water, several gallons large.  You have two precise measuring pipettes, one to measure exactly 1/3 of an […]

First, a few practice problems: 1) In the figure above, AC = BC = 8, angle C = 90°, and the circular arc has its center at point C.   Find the area of the shaded region. 2)  Employees at a company will vote for an executive team of five people from eight qualified candidates.  The […]

First of all, try these challenging GMAT Problem Solving practice problems without a calculator. (A) 2 (B) 3 (C) 4 (D) 5 (E) 6 2) In the month of August, Pentheus Corporation made \$200,000 in profit.  Pentheus made 6% of that profit on the second Wednesday of August.   If the profits that day were approximately […]

Here are four GMAT Data Sufficiency questions involving inequalities. Full solutions will come at the end of this article.   The arithmetic of equations: a review First of all, let’s review what should be more familiar — the arithmetic of equations.   Suppose A = B and P = Q.  The soundbyte is: you can combine […]

First, a bank of eight practice problems 1) A certain zoo has mammal and reptiles and birds, and no other animals.  The ratio of mammals to reptiles to birds is 11: 8:5.  How many birds are in the zoo? Statement (1): there are twelve more mammals in the zoo than there are reptiles Statement (2): […]

Many folks remember Order of Operations by means of the mnemonic PEMDAS.  Just for review, PEMDAS is a quick way to remember the following order of mathematical prioritization: Priority #1: P = Parentheses Priority #2: E = Exponents Priority #3: MD = Multiplication & Division Priority #4: AS = Addition and Subtraction A few things […]

What does the GMAT Quantitative section test?  Math, of course.  As tautological as that may seem, there is a very subtle point here.  What exactly is math?   Mathematics Strange as it may seem, there is no generally accepted formal definition of the word mathematics.  Most of the dictionary definitions, for example, cover the more […]

First, some practice questions.  The scenario below is relevant to questions #1-#3. There are two sets of letters, and you are going to pick exactly one letter from each set. Set #1 = {A, B, C, D, E} Set #2 = {K, L, M, N, O, P} 1) What is the probability of picking a […]

First of all, for warm-up, a practice Data Sufficiency question. The symbol What does this symbol mean in math? Technically, this symbol, typographically a dash, has three different meanings in mathematics, viz.: a) a subtraction sign b) a negative sign c) an opposite sign   The subtraction sign When the dash appears between two terms  […]

Master these seemingly intimidating mathematical symbols! Practice Questions First, try these practice questions. 1) The numbers a, b, and c are all non-zero integers. Is a > 0? Statement #1: Statement #2:   2) The numbers a, b, and c are all non-zero integers. Is a > 0? Statement #1: Statement #2:     Square […]

For a start, give these problems a try.  A complete explanation will come at the end of the discussion.   1) When positive integer N is divided by positive integer J, the remainder is 14.  If N/J = 134.08, what is value of J? (A) 22 (B) 56 (C) 78 (D) 112 (E) 175 2) […]

Learn to master this often confusing topic!  Why Fractions Are Hard Of all the math topics that raise dread, fear, anxiety, and confusion, few do so as consistently and as potently as do fractions.  I have my own personal theory why fractions are hard.  The trouble is: think about when you learned fractions — maybe […]

Because of their clarity and concision, the laws of exponents lend themselves well to GMAT math, especially to the Data Sufficiency format.  If math isn’t your thing, then perhaps the last time you gave any thought to exponents was back in Algebra Two, and perhaps exponents weren’t your favorites there either.  Take heart!  In this […]