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) 20 km/hr 54 km/hr 60 km/hr 72 km/hr 90 km/hr 2) Frank and Georgia started traveling from A to B at […]

## Rates and Ratios

Rates are just ratios. Here are a four problems exploring rates. Remember: no calculator! 1) Someone on a skateboard is traveling 12 miles per hour. How many feet does she travel in 10 seconds? (1 mile = 5280 feet) 60 88 120 176 264 2) At 12:00 noon, a machine, operating at a fixed rate, […]

## 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! 0.1 1 10 100 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 ounce and one to measure […]

## 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. 2 3 4 5 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 14.5% of the revenue for […]

## 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 […]

## GMAT Math: How to Divide by a Square Root

A lot of students, especially those away from math for a long time, get lost when trying to divide by a square root. First, consider these three practice questions. 1. In the equation above, x = 2. Triangle ABC is an equilateral triangle with an altitude of 6. What is its area? 3. In the […]

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