Name:
APES Finals Review: MATH ONLY
Things you’ll need to know how to do:





Metric conversions
Dimensional Analysis
10% rule
Rule of 70
Graph reading
1. 88 mm = ________ cm
2. 5.7 km = ________ m
3. 15, 300 g = ________ kg
4. 0.3 cm = ________ mm
5. 0.023 kg = ________ mg
6. 0.013 L = ________ mL
7. 12,490 m = ________ km
8. 0.048 g = ________ mg
9. 0.005 L = ________ mL
10. One lap in an Olympic
swimming pool is 50 meters. If
an athlete swims 81 laps in one
practice, how many miles did
that athlete swim?
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
The speed of light is 2.998 x 108 m/s. How fast is this in km/hr?
What is the volume of a cube (in cubic meters) if each length of the cube is 12 inches?
Convert 180 days to minutes.
Convert your age into seconds.
When I carry a 5-gallon container from my car, I always wonder how many pounds
I’m carrying.
Convert 0.0035 weeks into seconds.
134 = ? inches
8.9 x 105 tons = ? ounces
A city that uses ten billion BTUs of in each month is using how many kilowatt-hours of energy?
A 340 million square foot forest is how many hectares?
If one barrel of crude oil provides six million BTUs of energy, how man kilowatt-hours of energy will 50 liters of
crude oil provide?
58,000 kg of solid waste is equivalent to how many metric tons?
A car is traveling 65 miles per hour. How many feet does the car travel in one second?
Calculate the capacity in liters of a 10 gallon aquarium.
An ore sample (mixture of copper, sand, and clay) weighing 8.5000 grams was analyzed and found to contain
0.510 grams of copper. Calculate the percent copper in the ore.
Calculate the cost of gasoline for a 420 mile trip if your car averages 20 miles/gal of gas, and the gas costs
$0.95/gallon.
A TUMS antacid tablet weighs 1.265 g, most of which is filler. Each tablet contains 500 mg of the active ingredient,
calcium carbonate.
a. What is the percent, by weight, of calcium carbonate, in each tablet? ___________ %
b. What weight of calcium carbonate is needed to make 50 tablets? ___________ g
c. How many tablets can be made from 15.0 g of calcium carbonate? _________ tablets
How many years will it take for the human population to double if the growth rate is 2% per year?
29. How many years will it take for the United States to double its population size assuming a growth rate of 1.36%
and no immigration?
30. Lolichkia is a newly formed volcanic island of 5000 square miles that is now part of the Canary Islands. In the
year 2000, there are currently 250,000 inhabitants of the island. Last year, there were 12,000 new children born
(all cute and very smart) and 10,000 people were recorded as deceased (mostly drunkards and hooligans).
a. What is the current population density? (Population density = population / area)
b. What do you expect will happen to the density as time goes on?
c. What are the birth and death rates? (birth rate = #of births per year/total population) (death rate = #of
deaths per year/total population)
d. What is the population growth rate? (population growth rate = [births-deaths]/total population)
e. What stage in the demographic transition model do the birth and death rates suggest for this society?
f. How many years will it take the population of Lolichkia double?