Number Sense Practice Test LaTeX Template

[8/3/2017 Edit]: If you are looking for my archive of auto-generated practice tests, you can find the High School tests here and the Middle School tests here. Below gives you a brief description on how they were produced and my initial stab at creating a template (which I have since refined).


As I mentioned in a prior post, I am extremely interested in creating a pool of free UIL / TMSCA Number Sense practice tests. I spent an hour or so creating a \LaTeX template to produce worksheets and answer keys that are similarly formatted to the actual tests. I used this year’s UIL Sample Test as a reference to see if I could reproduce it. You can see the results yourself by downloading my \LaTeX version here and compare the two. All-in-all I think I was able to keep the formatting consistent, if not improve on some aspects — particular questions concerning fractions where I can use \dfrac{}{} to make the numerator and denominator appear larger in certain circumstances. Here is a quick comparison:

Scan of Current UIL Sample Test

Sample Number Sense Test

My LaTeX Version

LaTeX Number Sense Test

If you’d like to be able to make your own Number Sense Practice Tests, you can download my Questions Template here and the Answers Template here and mess around with improving it using TeXnicCenter or some other \LaTeX IDE. Note: you will have to install the <Exam> Package which you can do by using the MiKTex package installer or by downloading it from CTAN and manually installing the package.

For the future, I plan on publishing two practice tests a month that replicate the difficulty level seen in prior UIL-sanctioned exams. This should start a good a pool of free exams for teachers and students to use and, hopefully, make practicing for the competition accessible to more students. Eventually, I will automate the entire process using Python to piece together entire exams using the UIL Problem Sequencing as a guide and a every expanding pool of questions to choose from. Stay tuned!

UIL / TMSCA Number Sense Manual

Since this website will mostly be concerned with discussing some of my personal projects and hobbies, I thought it’d be appropriate for my first post to share one of my first major projects I ever put together: a manual for UIL / TMSCA Number Sense competitions

Number Sense Manual | Bryant Heath | 2007

(Dropbox Mirror)

I wrote it about ten years ago mostly to give me practice with all the nuances of writing in LaTeX and I haven’t really edited it since. I was also frustrated at the time that there were no free resources for prospective students interested in the Texas-based competition, so I made it available for all to download it. After a brief google search, it seems like nothing has changed — most material is either behind a paywall or is incredibly difficult to locate!

One of things I want to work on in the future is to create a sizable pool of Number Sense test questions where I can then formulate freely downloadable practice tests for students to work on. I am also thinking about starting a series of simple, two-minute videos highlighting individual mental math tricks to better showoff the concepts.

The benefits of mental math extend further than just a niche high-school level competition. For example, the ability to quickly and accurately calculate ensures that you have more time answering questions on standardized tests where difficult-to-use on-screen calculators are allowed (GRE, GMAT, etc…). In addition, better approximation methods — which is at the crux of mental math — allows you to save so much time and gives you a great feel of whether a particular approach is to problem or project is feasible.