Geometry Cheat Sheet: Triangles

In each Reference Sheet, I’ll cover, as succinctly as possible, every rule you absolutely must know to solve problems in a single area found on standardized tests.

Learning these rules isn’t a substitute for developing higher-order problem-solving and strategic thinking skills; rather, it’s a necessary precondition and foundation for all of that strategizing to take place. This Reference Sheet lists the minimum requirements to get your foot in the door. It’s the price of admission.

If you’re taking any test involving geometry, here’s what you need to know about triangles:

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Geometry Cheat Sheet: Lines and Angles

In each Reference Sheet, I’ll cover, as succinctly as possible, every rule you absolutely must know to solve problems in a single area found on standardized tests.

Learning these rules isn’t a substitute for developing higher-order problem-solving and strategic thinking skills; rather, it’s a necessary precondition and foundation for all of that strategizing to take place. This Reference Sheet lists the minimum requirements to get your foot in the door. It’s the price of admission.

If you’re taking any test involving geometry, here’s what you need to know about lines and angles:

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Combinatorics Cheat Sheet

In each Reference Sheet, I’ll cover, as succinctly as possible, every rule you absolutely must know to solve problems in a single area found on standardized tests.

Learning these rules isn’t a substitute for developing higher-order problem-solving and strategic thinking skills; rather, it’s a necessary precondition and foundation for all of that strategizing to take place. This Reference Sheet lists the minimum requirements to get your foot in the door. It’s the price of admission.

If you’re taking any test involving combinatorics, here’s what you need to know:

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Exponents Cheat Sheet

Today I’m posting the first installment of a new occasional series for this blog. In each Reference Sheet, I’ll cover, as succinctly as possible, every rule you absolutely must know to solve problems in a single area found on standardized tests.

Learning these rules isn’t a substitute for developing higher-order problem-solving and strategic thinking skills; rather, it’s a necessary precondition and foundation for all of that strategizing to take place. This Reference Sheet lists the minimum requirements to get your foot in the door. It’s the price of admission.

If you’re taking any test involving exponents, here’s what you need to know:

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LSAT Question Analysis #4

A couple of weeks ago I did an LSAT reading comprehension passage, but I threw my timing off by taking notes for my blog post as I worked. I’m going to try it again with a new passage, but this time I’m going to treat it exactly as I would on the actual LSAT — and skip the notes. We’ll see if my time improves — and whether I maintain accuracy in the process.

Alright, let’s get to it! I’m doing PrepTest 60, Section 4, Questions 1-7 (10 New LSAT, page 316-317). There are 7 questions here, so our target time is around 9 minutes. See you in 9 minutes!

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LSAT Question Analysis #3

Let’s do some reading comprehension!

To make this as authentic as possible, I’ll pick a passage I haven’t seen before, time myself, and try to comment on my thought process as I go. Okay? Good. Reading comprehension is a staple on pretty much every major standardized test, but I’ll be doing one from the LSAT: PrepTest 57, Section 4, Questions 6-12 (10 New LSAT, page 210-211). Here we go!

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GMAT Question Analysis #1

For this week’s post I decided to do a GMAT math question. The Official Guide for the GMAT provides explanations for all included questions, so I’m going to write one of my own and discuss it. This question could just as easily show up on a test like the GRE, the SAT, or the ACT.

The number N is increased by x% and then the result is decreased by x%. If the result is 64% of N, which of the following could be the value of x?

A. 8
B. 36
C. 60
D. 64
E. None of these

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f(This)

Today’s post is for all the GMAT (and GRE and SAT and ACT) students out there. Working with a student this week reminded me just how confused many test-takers are about what it really means for something to be a function and how often it is that these test-takers wind up frozen and unable to even begin to tackle function questions.

Ultimately, a lot of people just don’t understand what functions actually are.

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Reading List

The following materials will be the sources for problems discussed on this blog, and I strongly encourage the purchase of the listed materials for your test of interest. They are published by the official sources for their respective tests and are the most recent editions available.

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