APES Math Diagnostic - check your answers
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Last updated over 1 year ago
25 questions
Use this formative to check your answers for the math diagnostic. If you get one wrong, try the question/problem again until you arrive at the correct answer. If you need help, stop in and see Mr. Johnson!
Part 1: Percentages
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A water heater tank holds 280 gallons. Only 2% of the water is lost as steam. How many gallons remain to be used?
A water heater tank holds 280 gallons. Only 2% of the water is lost as steam. How many gallons remain to be used?
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In a pasture of grass and other plants, the biomass of insects makes up 5,000 kilograms. This is 5% of the total biomass of the pasture. What is the total biomass of the pasture?
In a pasture of grass and other plants, the biomass of insects makes up 5,000 kilograms. This is 5% of the total biomass of the pasture. What is the total biomass of the pasture?
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Two hundred thirty five acres, or 15%, of the forest is being logged. How large was the original forest?
Two hundred thirty five acres, or 15%, of the forest is being logged. How large was the original forest?
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The Greenland Ice Sheet contains 2,850,000 cubic kilometers of ice. It is melting at a rate of 0.006% per year. How many cubic kilometers are lost in one year?
The Greenland Ice Sheet contains 2,850,000 cubic kilometers of ice. It is melting at a rate of 0.006% per year. How many cubic kilometers are lost in one year?
Part 2: Scientific Notation
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145,000,000,000
145,000,000,000
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15 million
15 million
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0.000348
0.000348
Part 2 continued
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(3 x 103) + (4 x 103)
(3 x 103) + (4 x 103)
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(8.7 x 1012) - (4.9 x 1010)
(8.7 x 1012) - (4.9 x 1010)
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(1.3 x 108) x (2.4 x 104)
(1.3 x 108) x (2.4 x 104)
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(6.2 x 106) ÷ (7.8 x 104)
(6.2 x 106) ÷ (7.8 x 104)
Part 3: Percent Change
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If the population of the endangered green sea turtle increases from 85,000 to 120,000 individuals, what is the percent change in their population?
If the population of the endangered green sea turtle increases from 85,000 to 120,000 individuals, what is the percent change in their population?
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DDT decreases from 48 ppm (parts per million) to 12 ppm in a pond ecosystem. What is the percent change in the toxin’s concentration?
DDT decreases from 48 ppm (parts per million) to 12 ppm in a pond ecosystem. What is the percent change in the toxin’s concentration?
Part 4: Metric Conversions
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17,000 milliliters = _______ liters
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1,200 kilograms =_______
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50 km2 = _______ m2
Part 5: Dimensional Analysis
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How many acres is a 340 million square mile forest?
How many acres is a 340 million square mile forest?
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8.9 x 105 metric tons = _______ grams
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If a city uses 10 billion BTUs of energy each month, how many kilowatt hours (kWh) of energy does it use per year?
If a city uses 10 billion BTUs of energy each month, how many kilowatt hours (kWh) of energy does it use per year?
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A family of five recently replaced its 5-gallon per minute showerhead with a water-saving 2-gallon per minute showerhead. Each member of the family averages 8 minutes in the shower per day.
a. How many gallons will each person use per day with their new showerhead?
A family of five recently replaced its 5-gallon per minute showerhead with a water-saving 2-gallon per minute showerhead. Each member of the family averages 8 minutes in the shower per day.
a. How many gallons will each person use per day with their new showerhead?
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b. How many gallons will the entire family save per day after switching showerheads?
b. How many gallons will the entire family save per day after switching showerheads?
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c. In a 30-day period, how many fewer gallons of water will the family use with the new showerhead?
c. In a 30-day period, how many fewer gallons of water will the family use with the new showerhead?
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Americans recycle about 35% of their solid waste (trash). If an average American generates about 2 kg of waste every day, how much of that waste is recycled per year?
Americans recycle about 35% of their solid waste (trash). If an average American generates about 2 kg of waste every day, how much of that waste is recycled per year?
Part 6: Half-life
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A 50 gram sample of radioactive Iodine-131 has a half-life of 8.0 days. After 32 days, how much is left?
A 50 gram sample of radioactive Iodine-131 has a half-life of 8.0 days. After 32 days, how much is left?
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A 48 gram sample of Germanium-66 is left undisturbed for 10 hours. At the end of that period only 3.0 grams remain. What is the half-life of this material?
A 48 gram sample of Germanium-66 is left undisturbed for 10 hours. At the end of that period only 3.0 grams remain. What is the half-life of this material?