A marble has a radius of 16 mm. Approximately how many marbles will fit in a cube-shaped container with each side equal to 36 cm?
a. 20
b. 510
c. 1 420
d. 80
[Ques. 2] On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have determined that one liter = 39.0 guppies. How many guppies are in 230 liters?
a. 8 970 guppies
b. 9 010 guppies
c. 8 740 guppies
d. 9 200 guppies
e. 8 930 guppies
[Ques. 3] The distance from New York to London is 3 470 miles. If a plane takes 6.0 hours to fly this distance, what is the plane's average speed in kilometers per hour? 1 mile = 1.609 km.
a. 2 200
b. 620
c. 390
d. 930
[Ques. 4] The information on a one-gallon paint can is that the coverage, when properly applied, is 440 ft2 . One gallon is 231 in3 . What is the average thickness of the paint in such an application?
a. 3.6E3 in
b. 5.3E1 in
c. 4.4E2 in
d. 1.3E2 in
e. 1.6E1 in
[Ques. 5] The mass of a star is 8.0 1030 kg, and the mass of a hydrogen atom is 1.67 1027 kg. If we assume that the star is mostly composed of hydrogen, approximately how many atoms are there in the star?
a. 1.3E+4 atoms
b. 2.1E58 atoms
c. 4.8E+57 atoms
d. 8.0E+30 atoms
[Ques. 6] When NASA was communicating with astronauts on the Moon, the time from sending on the Earth to receiving on the Moon was 1.28 s. Find the distance from Earth to the Moon. (The speed of radio waves is 3.00 108 m/s.)
a. 240 000 km
b. 384 000 km
c. 480 000 km
d. 768 000 km
[Ques. 7] Water flows into a swimming pool at the rate of 7.0 gal/min. The pool is 17 ft wide, 32 ft long and 7.0 ft deep. How long does it take to fill? (1 U.S. gallon = 231 cubic inches)
a. 34 hours
b. 68 hours
c. 67 hours
d. 136 hours
e. 680 hours
[Ques. 8] The distance to a hypothetical galaxy is estimated at about 7 106 light years. A light year is the distance traveled by light in one year; if the speed of light is 3 108 m/s, about how far is it from our galaxy to this hypothetical galaxy? (1 year = 3.15 107 s)
a. 7E+21 m
b. 1E+9 m
c. 7E+22 m
d. 7E+5 m
[Ques. 9] A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A race horse is running at a speed of 6.00 yards per second. What is his speed in furlongs per fortnight?
a. 3.30E+4 furlongs/fortnight
b. 4.71E+3 furlongs/fortnight
c. 3.31E+4 furlongs/fortnight
d. 3.33E+4 furlongs/fortnight
e. 3.28E+4 furlongs/fortnight
[Ques. 10] A cement truck can pour 160 cubic yards of cement per hour. Express this in ft3/min.
a. 480 ft3/min
b. 2.67 ft3/min
c. 24.0 ft3/min
d. 8.00 ft3/min
e. 72.0 ft3/min
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