Ready to be excellent to the universe? I know Kevin is! Today, Kevin turns his gaze on one of the fundamental math strategies for the GMAT—backsolving. Understanding this approach will help you to avoid solving lengthy algebraic equations. Dive in to learn about backsolving so you can start applying it to your preparation. This week’s […]

# Archive | Basics

## GMAT Tuesdays: Math Strategy – Halving and Doubling

What is Tuesday without GMAT Tuesdays? That’s right! Not a Tuesday! This week Kevin covers a useful strategy for multiplying that will save you time and energy on test day. We all know that we don’t get a calculator on the test, so we have to better understand what we are doing when we multiply […]

## GMAT Practice Problems on Motion

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 traveling […]

## 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): […]