1. A KILOMETER IS APPROXIMATELY
A. 2 Miles B. ½ Mile C. 1/10 Mile D. ¼ Mile
2. 55 miles/hour is approximately
A. 90 km/h B. 30 km/h C. 10 km/h D. 2 km/h
3. By what factor does the volume of a cube increase if the lengths of the edges are doubled?
A. 16 B. 8 C.4 D. 2 E.√2
4. If the length of a box is reduced to one-third of its original value and the width and height are doubled, by what factor has the volume changed?
A. 2/3 B.1 C. 4/3 D. 3/2 E. depends on relative proportion of length to height and width
5. If the area of a circle is found to be half of its original value after the radius is multiplied by a certain factor, what was the factor used?
A. 1/ (2π) B. ½ C. √2 D.1√2 E. ¼
6. In terms of the original diameter d, what new diameter will result in a new spherical volume that is a factor of eight times the original volume?
A. 8D B. 2D C. D/2 D. D x 3√2 E. D/8
7. An equation for potential energy states U = MGH. If U is in kg ● m2 ● s-2, what are the units of h?
A. s B. s2 C. m-1 D. m E. g-1
8. The equation for the speed of sound in a gas states that v=√ˠkbT/m. Speed v is measured in m/s, ˠ is a dimensionless constant, T is temperature in Kelvin’s (K), and m is mass in kg. What are the units for the Boltzmann constant, kb?
A. kg ● m2 ● s-2● K B. kg ● m2 ● s-2● K-1 C. kg-1● m-2 ● s-2● K D. kg ● m/s
E. kg ● m2 ● s-2
9. How many significant figures should be written in the sum 4.56g + 9.032g + 580.0078g + 540.439g?
A. 3 B. 4 C. 5 D. 6 E. 7
10. How many significant figures should be written in the product of 0.0078406m x 9.45020m?
A. 3 B. 4 C. 5 D. 6 E. 7
1.3 The Use of Mathematics
1. A spherical balloon expands when it is taken from the cold outdoors to the inside of a warm house. If its surface area increases 16.0% by what percentage does the radius of the balloon change?
2. A spherical balloon is partially blown up and its surface area is measured. More air is then added, increasing the volume of the balloon. If the surface area of