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Archive | Geometry

GMAT Tuesdays: Problem Solving – Figures Drawn as Accurately as Possible

As you work through problem solving questions, you will see a lot of figures, charts, shapes, and lines! But can you trust them? What can you assume about those shapes? This week, I dive in and answer these questions!

GMAT Practice Problems: Similar Geometric Figures

Here are four practice problems involving similar figures. 1) In the figure, KLMN is a square, and angle KJN = 45°.  Find the area of figure JKLMN. 2) In the diagram, HJLM is a square, and GH = 10.  Find the area of trapezoid GHJK. 3) In the diagram, BD = 5, CD = 10, […]

GMAT Practice Problems on Coordinate Geometry

1) The line shown passes through the point (A, 30).  Which of the following is closest to the value of A? (A) 58 (B) 59 (C) 60 (D) 61 (E) 62 2) Line A has a slope of and passes through the point (–2, 7).  What is the x-intercept of Line A? 3) Line J […]

Circle problems on the GMAT

Here are eight practice problems involving circles.  The difficulty of these problems ranges from medium to very challenging. 1) In the diagram above, O is the center of the circle and angle AOB = 144º.  What is the area of the circle? Statement #1: The area of sector AOB is 40% of the area of […]

GMAT Tuesdays with Kevin: Challenge Question — Tour through Geometry

Hello! 🙂 This week, I’m solving a tough challenge question that you might have seen on our blog if you visit often! This challenge question draws on a whole host of geometry concepts and formulas, so it’s a great test for how much of geometry you really know. And just in case the board […]

GMAT Geometry Practice Problems

1) A triangle could possibly intersect a circle at the following number of points: I. 3 II. 4 III. 5 (A) I only (B) I & II only (C) I & III only (D) II & III only (E) I, II, III 2) Each circle in the diagram above has a radius of r = […]

GMAT Tuesdays with Kevin: GMAT Quant Challenge Question

Hello! 🙂 Today, I talk through how to solve this tricky-looking geometry question. If you have any questions for us or suggestions for future video topics, let us know in the comments below. Enjoy!

Angles and Parallel Lines on the GMAT

First, a couple of relatively easy practice problems. 1) In the diagram above, what is the measure of angle y? Statement #1: x = 30° Statement #2: line AB is parallel to line CD 2) In the diagram above, line m and line n are parallel.  Given that angle a = 40° and angle c […]

GMAT Math: How do You Find the Height of a Triangle?

Suppose you have a triangle with sides {6,7,8} — how do you find the height? This is a question some GMAT test takers ask.  They know they would need the height to find the area, so they worry: how would I find that height.  The short answer is: fuhgeddaboudit!   Which height? First of all, […]

GMAT Math: Similar Shapes

Some GMAT students who struggle with geometry find similar shapes confusing. I’ll try to clear that confusion up now. First, though, a couple tricky practice questions involving geometric similarity. 1) In the diagram above, BC is parallel to DE, DE = 20, and AC = CE = 6.  What is the length of AB? (A) […]