Category: GMAT Math Basics

How to Solve GMAT Motion Problems
GMAT motion problems can be the most challenging word problems. Learn key motion formulas and practice questions you’ll see on test day!

GMAT Math: How to Divide by a Square Root
A lot of students prepping for GMAT Quant, especially those GMAT students away from math for a long time, get lost when trying to divide by a square root. However, dividing by square roots is not something that should intimidate you. With a short refresher course, you’ll be able to divide by square roots in […]

GMAT Quant: Rates and Ratios
What are rates and ratios? How do rate and ratios problems differ? Hint: Not that much. Original photo by Pierre Rougier In fact, rates are just ratios in disguise. Here are a four GMAT practice problems exploring rates and ratios. Remember: no calculator! Rates and Ratios Practice Problems 1) Someone on a skateboard is traveling 12 miles […]

Practice Problems on Powers and Roots
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 […]

GMAT Practice Questions with Fractions and Decimals
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 […]

GMAT Math: The Uses and Abuses of Formulas
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 […]

Backsolving on GMAT Math
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 […]

GMAT Quant: Arithmetic with Inequalities
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 […]

GMAT Quantitative: Ratio and Proportions
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): […]

GMAT Quant: Mathematical Grouping Symbols
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 […]