In a C182, i dont see a need to call 40, but i do check to see if the indicator is working, on more than 1 occasion, just because the ASI is working and climbing as you accelerate down the strip doesnt mean it HASNT failed. on 2 occasions in a piper Arrow, accelerating down 11R at YSBK, the airspeed worked fine (so i thought) rotated at 65, accelerated to 80, gear up. accelerated through 90, but heres where things went pearshaped, attitude OK, yet the ASI continued through 120Kts, then 140, through yellow and continued through 3 complete circles of the dial only to settle a few degrees before 0. a circuit was completed followed by a normal landing.
fortunatly my instructor, Brian wetless regulalry stuck bits of carboard over instruments.
ask your instructor if he/she can do some partial panel work with you.