GMAT Geometry

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, […]

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 […]

  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 […]

For more information on Coordinate Geometry on the GMAT, see these articles: 1) Quadrants in the x-y Plane 2) Special Properties of y = x 3) Distance between Two Points 4) Slopes 5) Midpoints and Parallel & Perpendicular lines   Here are five new practice problems on these topics. 1. The center of circle Q […]

In the first three articles in this series on GMAT probability questions, I discussed the AND and OR probability rules,  “at least” probability questions, and probability questions that involve counting.  This post covers relatively rare kind of probability question not covered in the first three posts: geometric probability questions.  First, a few challenging practice GMAT […]

The Pythagorean Theorem is one of the most remarkable theorems in all of mathematics.  It has a treasure trove of ramifications up its sleeve, any one of which could provide you with invaluable help on the GMAT Quantitative section.  For example, consider this practice problem. 1) Consider the following three triangles I. a triangle with […]

First, a few practice questions. 1) Line A has the equation 3x + y = 7.  Which of the following lines is perpendicular to Line A? (A) y = 3x + 4 (B) y = –3x – 6 (C) y = (1/3)x – 1 (D) y = (–1/3)x + 2 (E) y = (–7/3)x – […]

Here are a set of practice GMAT questions about the Cartesian plane. 1) What is the equation of the line that goes through (–2, 3) and (5, –4)? (A) y = –x + 1 (B) y = x + 5 (C) y = –3x/7 + 15/7 (D) y = –4x/3 + 1/3 (E) y = […]

Learn the most common solutions to the Pythagorean Theorem There aren’t many numbers you need to memorize for success on the GMAT Quantitative section, but knowing a few key Pythagorean triplets will save you a ton of time.  First, try these GMAT practice question: remember: no calculator! 1) In right triangle ABC, BC = 48 […]

How do you find the distance between two points in the x-y plane?  First, try these practice questions. 1) What is the distance from (–7, 2) to (5, –3)? (A) 10 (B) 11 (C) 12 (D) 13 (E) 14 2) Consider the three points in the x-y plane: P = (8, 4), Q = (6, […]

First, try these practice questions:   1) Every length in a 45°-45°-90° triangle increases by 20%.  By what percent does the area of the triangle increase? (A) 20% (B) 25% (C) 40% (D) 44% (E) 80% 2) At a certain pizza parlor, the diameter of a large pizza is 40% larger than the diameter of […]

Learn the geometry properties of this important category of shapes and be ready for GMAT Quant questions about them!    Definition A polygon is a closed 2D shape with all straight sides.  Every side has to be a line segment.  The following are all polygons: There must be at least three sides, but there is […]