Ready to be excellent to the universe? I know Kevin is! ðŸ˜€ Today, Kevin turns his gaze on one of the fundamental math strategies for the GMATâ€”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 […]

# 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 GMAT, so we have to better understand what we are doing when we multiply […]

## GMAT Practice Problems on Motion

Here are five practice questions.Â Remember: no calculator. 1) A car, moving at a constant speed, covers 100 m in 5 seconds.Â 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 […]

## Rates and Ratios

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

## Practice Problems on Powers and Roots

Here are ten reasonably challenging problems on powers and roots.Â Solutions follow the problems.Â Â Remember, no calculator! Statement #1: x < 1 Statement #2: x > â€“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.Â Remember, no calculator! (A) 0.1 (B) 1 (C) 10 (D) 100 (E) 1000 6)Â Suppose you have access to a large vat of distilled water, several gallons large.Â 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 = 90Â°, and the circular arc has its center at point C.Â Â Find the area of the shaded region. 2)Â Employees at a company will vote for an executive team of five people from eight qualified candidates.Â 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.Â Pentheus made 6% of that profit on the second Wednesday of August.Â Â 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.Â Â Suppose A = B and P = Q.Â 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.Â The ratio of mammals to reptiles to birds is 11: 8:5.Â How many birds are in the zoo? Statement (1): there are twelve more mammals in the zoo than there are reptiles Statement (2): […]