Nothing too terrible.
You can use, on the test day, something called a computer which will be helpful in avoiding some maths.
The worst you WILL have to be able to do is a series of conversion to answer a question like :
You're at an airport at 1500ft AGL, you need to be at 3500ft or higher 5 nautical miles after takeoff. Your ground speed is 120kt, headwind is 20kt. What is the minimum rate of climb to meet this altitude constraint ?
There is more complicated stuff, but the stuff i'm thinking about is not likely to be the subject of many questions (polar stereographic chart which is a !!!!ty formula like 1/cos(λ/2)^2 or something like that), or can be resolved graphically using the computer (wind and CAS/TAS computations)