Math for APES

If an incandescent light bulb used for lighting has an efficiency rating of 5 percent, then for every 1.00 joules of electrical energy consumed by the bulb, which of the following is produced? (Energy)

• 1.05 joules of light energy

• 1.05 joules of heat energy

• 0.95 joules of light energy

• 0.05 joule of light energy

• 0.05 joule of heat energy

Tags

NGSS.HS-PS3-4

A sample of radioactive waste has a half-life of 10 years and an activity level of 2 curies. After how many years will the activity level of this sample be 0.125 curie? (Half-life)

• 10 years

• 20 years

• 30 years

• 40 years

• 80 years

Tags

NGSS.HS-PS1-8

If a city of population 10,000 experiences 100 births, 40 deaths, 10 immigrants and 30 emigrants in the course of a year, what is the net annual percentage growth rate? (population)

• 0.4%

• 0.8%

• 1.0%

• 4.0%

• 8.0%

Tags

NGSS.HS-LS2-2

The current global human population is about 6.1 billion and is growing at an annual rate of 1.35 percent. If world population were to grow at that rate for the next year, approximately how many people would be added? (population)

• 8 x 10⁵

• 8 x 10⁶

• 8 x 10⁷

• 8 x 10⁸

• 8 x 10⁹

Tags

NGSS.MS-ESS3-4

If the population of a country grows at a rate of approximately 5 percent per year, the number of years required for the population to double is closest to (population)

• 5 years

• 10 years

• 15 years

• 25 years

• 35 years

For a certain insecticide, the LD-50 dosage level for rats is determined to be 250 milligrams per kilogram of body mass. On the basis of this information, which of the following is the best prediction regarding the consequences of receiving this dosage of the insecticide? (Toxicology)

• Fifty percent of any rat population would be sickened.

• Fifty percent of the population of any warm-blooded animal would die.

• Fifty percent of any population of mosquitoes would die.

• Five hundred out of every one thousand people would experience acute effects

• Five hundred out of every one thousand rats would die.

Tags

NGSS.HS-LS4-5

The combustion of one gallon of automobile fuel produces about 5 pounds of carbon (in CO₂). Two autos are making a trip of 600 miles. The first auto gets 20 miles per gallon and the second gets 30 miles per gallon. Approximately how much less carbon (in CO₂) will be produced by the second auto on this trip? (Resources)

• 300 lbs

• 150 lbs

• 100 lbs

• 75 lbs

• 50 lbs

If the annual consumption of petroleum in the United States is about 23 barrels per capita, the total annual consumption of petroleum in the United States is closest to (Resources) Hint: What is the approximate population of the US?

• 12 million barrels

• 240 barrels

• 2 billion barrals

• 6 billion barrels

• 10 billion barrels

Tags

NGSS.MS-ESS3-4

Uranium-235 has a half-life of 710 million years. If it is determined that a certain amount of stored U-235 will be considered safe only when its radioactivity has dropped to 0.10 percent of the original level, approximately how much time must the U-235 be stored securely to be safe? (Half-life) Hint: Make your life easier...move some decimals!

• 7.1 x 10⁶ years

• 7.1 x 10⁷ years

• 7.1 x 10⁸ years

• 7.1 x 10⁹ years

• 7.1 x 10¹⁰ years

Tags

NGSS.HS-PS1-8

Th world's population in 2000 was approximately 6 billion. Assuming a constant growth rate of 2 %, in what year would the world' population reach 12 billion? (population)

• 2035

• 2050

• 2070

• 2100

• 4000