I also see a problem with significant figures. The input numbers must all have the same number of significant figures and so should the answer options. Question 4 is a good example of hat I'm talking about. The input numbers are given to anything from 1 to 4 sig figs and the options are given in 2 to 4 sig figs. That 84.99% particularly stands out. See
this Wikipedia article for the rules on significant figures.
That said, I would encourage you to design problems so that the input parameters and the answers are in symbolic instead of numerical form. For example,
Q.9
A small block of mass ##m## starts at the bottom of a circular frictionless ramp of radius ##R## with initial velocity ##v_0##. What is the magnitude of the normal force on the ramp when the ball swings to the top by an angle of 90°?
- Zero.
- ##\dfrac{mv_0^2}{R}.##
- ##\dfrac{m(v_0^2-2gR)}{R}.##
- ##\dfrac{m(v_0^2-gR)}{R}.##
The advantages of doing it this way are:
- Students spend zero time pushing buttons on their calculators and more time on what counts, thnking.
- Students learn the good habit of solving problems by getting a symbolic answer first and then, if they have to, substitute numbers at the very end.
- Students don't have to worry abut units and conversions that are of minor importance.
- Possible mismatches of significant figures and roundoff errors are avoided.
- As the problem author, you don't have to worry about specific values of constants, e.g. whether ##g## should be 10 m/s2 or 9.806 m/s2.