And which are truly the most important GRE math concepts? Get ready to read about each type of question on the GRE that you should study.
Then, test them out with these GRE math practice questions! The GRE often tests multiple Quant concepts in the same problem. Still, certain concepts can overlap in surprising ways. Data interpretation problems, for instance, can double as geometry and statistics problems, when you are asked about the appropriate angles to put on statistical pie charts. Expect other interesting-but-challenging math concept mashups on the GRE as well.
Algebra in particular is one concept that overlaps massively with the other concepts listed in this article. You may encounter an algebra component in problems that deal with any other concept. In other words, there are regular algebra problems, but there are also algebra probability problems, algebra geometry problems, etc….
Word problems of course also overlap with many concepts. Conceivably, any GRE Quant concept can be tested in a word problem. And remember — each type of question is worth the same points. You do not receive more credit for more difficult questions. You can find some useful formulas for these concepts here. So while no exact counts of question types are guaranteed to show up on your test, hopefully you can use this to gauge just how much time you should spend studying for geometry.
Some of his students have even gone on to get near-perfect scores. View all posts. Magoosh blog comment policy : To create the best experience for our readers, we will only approve comments that are relevant to the article, general enough to be helpful to other students, concise, and well-written! The best way to tackle these problems, then, is to draw the shapes yourself. Previously, I drew my own triangle for the sample question above using the Pythagorean theorem.
If Alice rented space measuring 8 by 15 feet, and Betty rented space measuring 15 by 20 feet, here are what their rooms would look like not drawn to scale :.
This diagram, with its lengths and widths, clarifies for us the problem has to do with area. If we subtract 60 from , we get a difference of Certain questions, often Quantitative Comparisons, may give you geometry problems without offering any actual numbers or enough info to be able to plug in anything to a formula and solve it.
The two triangles being described are both equilateral triangles , meaning both triangles contain three sides with identical lengths. Triangle T is 6 times bigger than triangle X because each of its sides is 6 times longer than each of the sides of X. Now, all we need to do is take the ratios of any two sides of T and any two sides of X , and compare the ratios we get.
Why can we do any two sides, you ask? For T , the ratio of any two of its sides is , or, when reduced, For X , the ratio of any two of its sides is also Because these two ratios are the same, the correct answer is C: The two quantities are equal. Some problems in your GRE geometry practice or on test day may give you diagrams with one shape inscribed in another as you can see with the sample question on circles above.
The easiest way to approach these problems is by first analyzing each shape independently. If a problem asks you to solve for the area of a part of the larger shape where the inscribed shape is absent e.
The GRE expects you to have familiarity with the definitions of several terms related to shapes, angles, and formulas. To cap off our GRE geometry review, I offer you a glossary of common geometry terms. All terms are listed in alphabetical order. Looking to cover other Quant concepts besides geometry? Craving more math practice? Get tips and ideas on how to study for Quant using practice questions and tests. And for test-day strategies, read our guides on how to use your scratch paper and how to work the on-screen calculator.
We've written a eBook about the top 5 strategies you must be using to have a shot at improving your GRE score. She is passionate about education, writing, and travel. View all posts by Hannah Muniz. What is the perimeter of an enclosed semi-circle with half the radius of circle A? Our other circle with half the radius of A has a diameter equal to the radius of A. Half of this is 5. However, since this is a semi circle, it is enclosed and looks like this:.
Therefore, we have to include the diameter in the perimeter. Therefore, the total perimeter of the semi-circle is 5. Quantity A: The circumference of a circle with radius. Quantity B: The area of a circle with a diameter one fourth the radius of the circle in Quantity A. Let's compute each value separately. We know that the radii are positive numbers that are greater than or equal to. This means that we do not need to worry about the fact that the area could represent a square of a decimal value like.
Since , we know:. If the diameter is one-fourth the radius of A, we know:. Thus, the radius must be half of that, or. Now, notice that if , Quantity A is larger. However, if we choose a value like , we have:. Quantity A:. Circle has a center in the center of Square. The area of Square is. What is the circumference of Circle? Since we know that the area of Square is , we know , where is the length of one of its sides. From this, we can solve for by taking the square root of both sides.
You will have to do this by estimating upward. Therefore, you know that is. By careful guessing, you can quickly see that is. From this, you know that the diameter of your circle must be half of , or because it is circumscribed. Therefore, you can draw:. You could also compute this from the diameter, but many students just memorize the formula above. We know that 0. In order to solve for the area, we will need the radius of the circle. In the diagram above, square ABCD is inscribed in the circle.
If the area of the square is 9, what is the area of the circle? If the sides thus equal 3, we can calculate the diagonals either CB or AD by using the triangle ratio. Note that since the square is inscribed in the circle, this diagonal is also the diameter of the circle.
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