Support Union Test Prep
Support us and begin preparing Ad-free for your tests with
Union Test Prep.
At Union Test Prep, we are a small team dedicated to bringing the best test-prep material to you, free of cost. But we cannot do it without your support.
Support us today and start preparing for your test without the intrusion of ads.Support Now
Free Practice Tests for the
So, you’d like to see where you stand in terms of math skill. Here’s your chance! You can try these free Math Basics practice questions before reading the study guide for each section and then try them again afterward to see your progress.
Select a section to beginDownload Practice Tests
Our Practice Tests are also available for downloadDownload Practice Tests
Table of Contents
This is a section filled with an assortment of the more “advanced” math concepts that take you through the end of Algebra I. We do not go into complete detail with these materials, but hope to take a little of the mystery and “yikes factor” out of the terms. You’ll find out what things like function and infinite solutions are and their common uses. Then you won’t be so apt to flee when they’re introduced in class or during other math studies.
If algebra always seemed like a foreign language to you, well, it is. But once you know what all those little letters stand for and how you can work with them, you, too, will know the language! This section covers basic content in pre-Algebra and the most basic parts of Algebra I. You will learn that algebra is a great tool for finding answers to problems. You may not suddenly seek “doing algebra” as a free-time activity, but we think you won’t be as frightened of it, either. With our help, you can do this!
We’ll admit, just the title of this section sounds a bit scary. Isn’t this stuff just for math junkies? There are very high-level courses in data analysis and statistics, but it isn’t all that hard. Basically, data analysis and statistics involves using graphs, charts, and other presentations of numbers to learn more about something. Probability (think “What are the chances of winning the lottery?”) is also included in this section, as are terms like mean, median, and mode. It can actually be kind of fun when you know the language and the tricks…really!
If there were only whole numbers, math would be a lot simpler. But, since whole numbers can’t tell you what portion of a pizza is left or help you figure out the discount price of that on-sale item, we must resort to fractions, decimals, and percents. This section goes through all of these, from the definition and meaning to methods to use in problem-solving.
From shapes to lines to finding volume and area, geometry covers a lot of ground. This section will assess your skills in the geometry basics you need to know. Using formulas to find answers is covered, as are basic rules for dealing with geometric figures and proofs. So, if terms like theorem and congruent make you want to hide, working through this section should help you fight that urge.
You don’t use the same tool to measure time as you do to measure the length of a football field. And not only are there different tools, the units differ for each type of measurement. Add to that the need to convert between the standard U.S. measurement system and the metric system used in other parts of the world as well as in many U.S. industries. It can be complicated, but we’ll go over all of the basics.
There are real numbers, rational numbers, integers, and several other varieties. Then, there are rules governing what you can and cannot do with them—basic guidelines for how numbers work. We’ll go over all of these rules and review techniques on how to perform the four basic operations and actually get the right answer. So, if you never “got” long division, this is where your explanation would be.
You may remember the old term “story problems” from your early school years. Well, that’s what these are. But now, instead of being a separate part of a math test, they are the test. Instead of simply saying “48 + 21 =
__”, today’s math questions almost always start with a “story” of some sort. For this one—a really easy example—it might be, “Sally had 48 rescue dogs and a local agency just brought her 21 more. How many dogs does Sally now need to find homes for?” You use the same numbers, but now you have to weed them out of a short paragraph before calculating. We’ll teach you how to do that and much more.
We hope these practice questions helped you to assess your math progress and that you plan to either move on to another section or seek additional review and practice. Please let us know how we helped through Twitter, Facebook, YouTube, Instagram, or Pinterest. We’d love to hear about your experience!
Let's continue studying where you left off.