APES Math Diagnostic - check your answers

Last updated over 1 year ago

25 questions

Instructions

Part 1: Percentages

Required

Part 2: Scientific Notation

Required

Part 2 continued

Required

Part 3: Percent Change

Required

Part 4: Metric Conversions

Required

Part 5: Dimensional Analysis

Required

Part 6: Half-life

Required

APES Math Diagnostic - check your answers

Last updated over 1 year ago

25 questions

Instructions

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

Required

A water heater tank holds 280 gallons. Only 2% of the water is lost as steam. How many gallons remain to be used?

Required

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?

Required

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

Required

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

Required

145,000,000,000

Required

15 million

Required

0.000348

Part 2 continued

Required

(3 x 103) + (4 x 103)

Required

(8.7 x 1012) - (4.9 x 1010)

Required

(1.3 x 108) x (2.4 x 104)

Required

(6.2 x 106) ÷ (7.8 x 104)

Part 3: Percent Change

Required

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?

Required

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

Required

17,000 milliliters = _______ liters

Required

1,200 kilograms =_______ 

Required

50 km2 = _______ m2

Part 5: Dimensional Analysis

Required

How many acres is a 340 million square mile forest?

Required

8.9 x 105 metric tons = _______ grams

Required

If a city uses 10 billion BTUs of energy each month, how many kilowatt hours (kWh) of energy does it use per year?

Required

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?

Required

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

Required

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

Required

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

Required

A 50 gram sample of radioactive Iodine-131 has a half-life of 8.0 days. After 32 days, how much is left?

Required

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?

APES Math Diagnostic - check your answers

APES Math Diagnostic - check your answers

A water heater tank holds 280 gallons. Only 2% of the water is lost as steam. How many gallons remain to be used?

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?

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

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?

145,000,000,000

15 million

0.000348

(3 x 103) + (4 x 103)

(8.7 x 1012) - (4.9 x 1010)

(1.3 x 108) x (2.4 x 104)

(6.2 x 106) ÷ (7.8 x 104)

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?

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?

How many acres is a 340 million square mile forest?

If a city uses 10 billion BTUs of energy each month, how many kilowatt hours (kWh) of energy does it use per year?

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?

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

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

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?

A 50 gram sample of radioactive Iodine-131 has a half-life of 8.0 days. After 32 days, how much is left?

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 water heater tank holds 280 gallons. Only 2% of the water is lost as steam. How many gallons remain to be used?

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?

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

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?

145,000,000,000

15 million

0.000348

(3 x 103) + (4 x 103)

(8.7 x 1012) - (4.9 x 1010)

(1.3 x 108) x (2.4 x 104)

(6.2 x 106) ÷ (7.8 x 104)

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?

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?

How many acres is a 340 million square mile forest?

If a city uses 10 billion BTUs of energy each month, how many kilowatt hours (kWh) of energy does it use per year?

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?

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

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

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?

A 50 gram sample of radioactive Iodine-131 has a half-life of 8.0 days. After 32 days, how much is left?

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 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?