Using the search bar in iPad OS to solve equations does not require access to the internet.

If you have a keyboard, press command-space. You can then enter an equation that you want to solve in the search bar. If the syntax is correct, it will give you the solution. Try this equation as an example:

(2+pi)/(3^3)

It will display this result: 0.1904293575

If you press enter and you do have internet access, then it will send the equation to Safari and execute a search in your default search engine. I’m not sure why it odes that; that doesn’t seem too useful.

Some other operations you can do in the search bar:

sqrt(n), cos(n), sin(n), tan(n), log(n), ln(n), etc.

Some other functions that I’ve used in Excel also work in the search bar, such as min(12,2)

My guess is that it supports many or all of the functions that are supported in Numbers.

With this, you should be able to quickly solve just about anything you would type into a calculator app.