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Biblioteka

APES Math Practice

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Posljednje ažuriranje almost 4 years ago
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APES Math Practice

Scientific Notation

Place the following numbers into scientific notation.

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Do the following calculations in scientific notation. If prompted, show your work.

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Metric Conversions.

Memorize these common prefixes and basic units.

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Percent Change: You need to memorize this formula:  

The AP®Exam WILL NOT give you formulas.

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Metric Area Conversions—Remember to take out of area by simplifying, then convert and multiply.

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Half-Life Calculations

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LD-50 Calculations

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Pitanje 1
1.

One thousand =

Pitanje 2
2.

One million =

Pitanje 3
3.

One billion =

Pitanje 4
4.

One trillion =

Pitanje 5
5.

twenty-three thousand =

Pitanje 6
6.

256,000 =

Pitanje 7
7.

Pitanje 8
8.

Five hundred billion times thirty-five thousand

Pitanje 9
9.

Six thousand divided by 300 billion

Pitanje 10
10.

On ten-thousandth of three million

Pitanje 11
11.

1200 watts =_______ kW (kilowatts)

Pitanje 12
12.

1200 kW =_______ MW (megawatts)

Pitanje 13
13.

500 km =_______ m

Pitanje 14
14.

60 grams =_______ milligram

Pitanje 15
15.

14,000 milliliters =_______ liter

Pitanje 16
16.

A natural gas power plant is 60% efficient. If one cubic meter of natural gas provides 1200 BTUs of electricity, how many BTUs of waste heat were produced?

Pitanje 17
17.

If 35% of a natural area is to be developed, leaving 520 acres untouched, how many acres are to be developed?

Pitanje 18
18.

If cyanide in a stream next to a gold mine increases from 240 ppm to 360 ppm, what percent increase is this?

Pitanje 19
19.

SO2 emission from a coal power plant is 400 tons in 2010 and 288 tons in 2017.  What percent decrease is this?

Pitanje 20
20.

Refer to the previous question and answer. How many percent on average decrease per year?

Population Math

You need to memorize the population math formulas. See this quizlet of APES math and this reference page if needed.

Pitanje 21
21.

Calculate the percentage growth rate for a country with a population of 5 million which has 100,000 births, 70,000 deaths, 30,000 immigrants, and 50,000 emigrants.

Pitanje 22
22.

If a country has a growth rate of 1%, how many years will it take for the population to double? (Use the rule of 70)

Pitanje 23
23.

If a city’s population doubles in 20 years, what is the growth rate?

Pitanje 24
24.

Refer to the previous question. Would this be a country in Subsaharan Africa or Europe?

Pitanje 25
25.

A city of 20,000 has a growth rate of 7%.  How many years would it take to reach 60,000? (Hint: use the rule of 70)

Pitanje 26
26.

5 km2 = _______________ m2

Pitanje 27
27.

Calculate the area in cm2 of a table that is 2m2

Pitanje 28
28.

A shopping center’s parking lot is 200 meters long and 100 meters wide.  How many km2 is this?

Pitanje 29
29.

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 0.25 curie?

Pitanje 30
30.

27. A 64g sample of Germanium-66 is left undisturbed for 12.5 hours.  At the end of that period, only 2.0g remains.  What is the half-life of this material?

Pitanje 31
31.

In the community described in the table above, which of the following represents the respiratory energy (kcal/m2/year) used by autotrophic organisms?

Pitanje 32
32.

Based on the table above, calculate the efficiency of energy transfer (in percent) from producers to primary consumers.

Pitanje 33
33.

Based on the table above, calculate the efficiency of energy transfer (in percent) from secondary consumers to tertiary consumers.

Pitanje 34
34.

The LD50 for acetaminophen is 2404 mg/kg (rat, oral). How many milligrams of acetaminophen would be the LD50 for a 60 kg (132 lb) adult?

Pitanje 35
35.

Use your answer from the previous question. How many 500 mg tablets of acetaminophen would be a lethal dose for half the 60 kg adults? (Think about it, should you round up or down?)

Pitanje 36
36.

The LD50 for aspirin is 200 mg/kg (rat, oral). How many milligrams of acetaminophen would be the LD50 for a 10 kg (22 lb) child? (This is a 1-year-old toddler)

Pitanje 37
37.

Use your answer from the previous question. How many 500 mg tablets of acetaminophen would be a lethal dose for half the 10 kg children?

Pitanje 38
38.

Use the graph to calculate the LD50 for Rats with Cesium. LD50 = ?

Pitanje 39
39.

What is the threshold on the graph?