Make sure you try these on your own first, before peeking at the answers, remember the test won’t have the answers provided for you! Keep studying.
1) Please convert the following:
a) The height of Mount Everest is 29,
...
Make sure you try these on your own first, before peeking at the answers, remember the test won’t have the answers provided for you! Keep studying.
1) Please convert the following:
a) The height of Mount Everest is 29,035 feet. How many miles is that?
29035 ft x 1 mi ≈ 5.5miles
1 5280 feet
b) You run a 10 kilometer race. How many miles did you run?
10 km x 0.621mi =6.21miles
1 1 km
c) You buy a 24 pack of 591mL bottles of water. How many Liters is that?
24 ×591 mL=14184 mL
Using the metric to metric conversions kL hL daL L dL cL mL This is 3 jumps to the left, which results in 14.184 L
2) How many pints are in 15 gallons?
15 gallons × 4 quarts × 2 pints =120 pints
1 1 gal 1 qt
3) Earlier this year in a drug bust in Shanghai, China, police seized 2.4 tons of methamphetamines. If a typical dosage is 50mg, how many doses is that drug bust, which the Chinese police prevented from being sold to the public?
We need to get to milligrams, which is metric, but have tons, which is English. 2.4 tons must
be converted to pounds first and then kilograms and then to milligrams.
2.4 tons × 2000lbs × 1 kg
≈ 2182 kg
1 1 ton 2.2lbs
Using the metric to metric conversions kg hg dag g dg cg mg This is 6 jumps to the right, which yields: 2,182,000,000mg
Now we convert this to doses, knowing that 1 dose = 50mg…
2,182,000,000 mg × 1 dose =43,640,000 doses
1 50 mg
4) The low temperature today is 20°F. What would this be in Celsius?
C=5 ( F−32)= 5 (20−32)= 5 (−12) ≈−6.7℃
9 9 9
This makes sense, since we know that 0°C is freezing, and 20°F is below freezing.
5) A 52 inch wide TV has a screen area of 1,064 in2. How many square feet is that?
52 inch is extraneous information. Because of Square unit, we must either use the conversion
1064 ¿2 1 ft2 2
12∈¿?
1 x 144 ¿2 =7.39 ft
1 ft
twice, or square it to cancel out in2
12∈¿ x
1064 ¿2
1 x
¿
1 ft
¿
6) Water is coming out of a hose at 20 quarts per minute, how many gallons per hour is this?
Remember per minute, means the minute unit is in the bottom, you can also set this up in 2
order does n' tmatter . 20 qt x 1 gal x 60 min =300 gal / hr
steps and the
1 min
4 qt
1 hr
7) You are constructing a rectangular concrete patio that measures 10 feet long, 6 feet wide and 10 inches deep. What is the volume in ft3? What is the volume in m3? First make 10 in
12∈¿= 5 ft?.83 ft
6
into feet.
10∈ ¿ x 1 ft
Now find the Volume = LWH = 10 ft X 6 ft X 5/6 ft = 50 ft3
1 ¿
¿
50 ft3
1 x
1 yd 3
3 ft x
0.914 m 3
1 yd
=1.4 m3
is one conversion
8) You order a 1 pound steak in Indianapolis, but pounds are not used in Australia. Please convert pounds to ounces, then to grams so you can order steak in Australia. 1 ounce = 28
1 pound x 16 oz
x 28 grams =448 grams
grams
1 1 pound
1 oz
9) A certain medication for diabetes has dosage limits of 10mg/kg/day, not to exceed recommended dosage in a 24hour period. It is to be given 2 times per day. If an adult weighs 220 pounds, what is the maximum dose that he or she should receive, rounded to the nearest
milligram? 10mg/kg/day means
10 mg drug
kg weight × day First we need to convert the person’s
220 lbs × 1 kg
≈ 100 kg
weight to kilograms:
1 2.2 lbs
100 kg × 10 mgdrug × 1 day
=500 mg / dose
Now find the amount of drug to be given: 1
kg weight × day
2 doses
(Note: we had to divide the dosage limit per day by 2 to find how much should be given per dosage.)
10) If your car gets 24 mpg, and you drive 420 miles, how many pounds of CO2 would be produced by your trip (assume 19.8 lbs CO2 per gallon)? Sometimes these take trial and error, remember the goal is to setup in such a way that the units come out with lbs at the end. Also remember that mpg will be miles over gallons
420 miles x 1 gal
x 19.8lbs of CO 2 =346.5 lbs CO 2
1 24 miles 1 gal
11) Every night you turn on a portable fan for background noise while you sleep. If you leave this 100W fan on for 8 hours per night, how many pounds of CO2 would you produce in a year? (Assume 1.37 lbs of CO2 per kWh)
100 W × 1 kW
× 8 hours × 365 days =292 kWh / year
1 1000W
1 day 1 year
292 kWh × 1.37 lbs C O2 =400.04 lbs C O / year
1 year 1 kWh 2
12) Create a bar chart for each column of data and compare.
From www.census.gov Smokers over 18 by state 2009 data.
State Number in thousands Percent
Indiana 1126 23.1
Illinois 1804 18.6
Ohio 1788 20.3
Kentucky 849 25.6
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