1. Remember that units may be algebraically manipulated, and velocity has the dimensions (length/time). The last answer, at, has dimensions (length/time²)*time, which is equivalent.

3. Examples contradicting (a) and (d) are easy to find. Since x is in the denominator, y must get larger as x gets smaller.

5. Either convert all the meters into feet, and do the multiplication, or get the volume in meters cubed first and then cube the 3.82 to get the volume conversion (remember too that there are going to be more cubic feet than cubic meters in any given volume).

6. A trig problem. sin(angle)=altitude/tracklength; therefore altitude=tracklength/sin(angle).

8. The significant figures (individual digits) of the result should be the same as that of the factor with the minimum number of significant figures.

12. The circumference is 150 m, therefore the radius is 150/2pi or about 150/6 = 25 m. Then use height/radius=tan(angle).