Mental math is used all the time when at sea or in a simulator. Know your multiplication tables, basic trigonometric functions, and the Sine table but that's about it.
The Sine function is usually used to figure out Closest Point of Approach (CPA). If you recall grade 9 math - great. If not, the sine function takes an angle and tells the length of the y-component (rise) of that triangle. That way you can measure the bearing and range of a buoy for example, then Sine of the angle X range will give you the range at which you'll pass. Also, useful for things like figuring out how much to adjust course, amend the allowance for tidal stream, set and/or leeway, amend ETA, etc.
Frequently you need to calculate basic things such as speed required to get somewhere at time X. Or how far you will travel in Y minutes. Rule of thumb: Speed X 100 = distance traveled in 3 minutes (in yards). Example; A ship travelling at 5 kts will move 500yds in three minutes. This can be broken down to the minute and say it travels 166 yds per minute, or roughly one hull length in one minute.
There are other uses but they're basically just variations on the themes above.