Yup, sounds like Dalton's diamond (from Dalton's gas law):
pp
____________________
fraction | total-pressure
You put your thumb over the value you are seeking, and the diagram tells you how to derive it from the other two.
Example 1:
Cover pp with your thumb, and the diagram tells you that pp = fraction x total pressure
Example 2:
Cover fraction with your thumb, and the diagram tells you that fraction = pp divided by total pressure.
Example 3:
Cover total-pressure with your thumb, and the diagram tells you that total pressure = pp divided by fraction.
Total pressure equals (depth in seawater divided by 33 ft/ATA) + 1 ATA
Fraction equals the percentage fraction of the component gas (either oxygen, or nitrogen, or helium) in the gas mix (either air, or nitrox, or trimix).
PP equals the partial pressure of the component gas (either oxygen, or nitrogen, or helium) in the gas mix (either air, or nitrox, or trimix).
Note that for simplicy we always combine the argon and other fractional components with the nitrogen.
The T diagram helps you to remember how the formulas/formulae work. You are right, that they are simple when they are laid out in front of you.
These formulae are primarily useful to determine your "best mix" for deep diving with trimix. They are normally just introduced in the basic nitrox course, then elaborated upon more in advanced nitrox, which is often taught in conjunction with a basic decompression diving course.
For your basic nitrox diving, if you just remember that EAN 32 is great for diving to 130 fsw, and that EAN 36 is great for diving to 95 ft, and then dive accordingly, then you will do fine. Of course, the test will probably be a lot harder than that.