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Laabri

APES Math Diagnostic - check your answers

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Last updated 5 months ago
25 Nsɛmmisa

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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Part 2: Scientific Notation
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Part 2 continued
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Part 3: Percent Change
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Part 4: Metric Conversions
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Part 5: Dimensional Analysis
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Part 6: Half-life
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1.

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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2.

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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3.

Two hundred thirty five acres, or 15%, of the forest is being logged. How large was the original forest?

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4.

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?

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5.

145,000,000,000

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6.

15 million

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7.

0.000348

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8.

(3 x 103) + (4 x 103)

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9.

(8.7 x 1012) - (4.9 x 1010)

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10.

(1.3 x 108) x (2.4 x 104)

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11.

(6.2 x 106) ÷ (7.8 x 104)

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12.

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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13.

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?

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14.

17,000 milliliters = liters

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15.

1,200 kilograms = milligrams

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16.

50 km2 = m2

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17.

How many acres is a 340 million square mile forest?

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18.

8.9 x 105 metric tons = grams

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19.

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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20.

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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21.

b. How many gallons will the entire family save per day after switching showerheads?

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22.

c. In a 30-day period, how many fewer gallons of water will the family use with the new showerhead?

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23.

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?

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24.

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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25.

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?