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1.	The local election is over and a new mayor has been elected to lead Big Town. The new mayor received two votes for every vote received by her opponent. The new mayor received 2,736 votes. How many votes did her opponent receive?

2.	Katherine divided her pie into eighths. Savannah divided her pie into fourths. Katherine's family ate six eighths of her pie. How many fourths of Savannah's pie would have to be eaten to result in an equivalent amount of pie being eaten?

Complete.

3.	In a certain desert environment there are a lot of small rodents. There also happen to be a lot of snakes that feed on the rodents. The ratio of rodents to rodent eating snakes is 13 to 5. If there are 3,800 snakes in the area, how many rodents are there?

In a population of 768,872 cells some are undergoing division and some are not. Assume that while some of the cells are dividing, no other cells will begin to divide to until the group that is dividing is finished. Let's say the ratio of dividing to not dividing cells is 8 to 5. What will the cell population be after the cells that are dividing have completed the division process?

Key #2

aKey #2

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Soils around the world vary in their organic matter content. Organic matter comes from living things or things that used to be alive. For example, in comparing a soil from Nebraska to one from Arizona, it would not be unusual for the Nebraska soil to have a greater amount of organic matter by a factor of 5 to 3. If you had two such samples and the sample from Arizona contained 6 g of organic matter, how many grams of organic matter would there be in Nebraska soil of equal mass? Round your answer to the nearest hundredth.

6.	Based on what has been found so far, the ratio of fossil floopasaurs to fossil bloopia in Africa is 4 to 1. If this ratio is later discovered to have an error of 50% (too high) for floopasaurs, what would the corrected ratio be?

Complete.

The gravitational attraction between two objects is given by the formula F= G(m₁m₂/d²) where m represents the masses of the two objects, d is the distance between them and G is the gravitational constant (note: G = 6.67 x 10^-11m³kg^-1s^-2). (a) Calculate the gravitational force between two objects (m₁ = 450,000 kg, m₂ = 1,500,000 kg) that are separated by 70 meters. (b) Then determine what the force is if m₁ is doubled and d is decreased by a factor of 1/3 (hint: calculate what to subtract first and then subtract from d; do not just multiply d by the fraction).

8.	If the ratio of difficult physics problems to easy physics problems in a book is 4 to 3, how many easy problems are there if there are 320 problems in the book? Round your answer to the nearest whole number if necessary.

Complete.

9.	A sample of steel made at the Bigtown Steel Works, was analyzed and found to contain 0.18% carbon (by mass). How many kilograms of this kind of steel could be made from 0.4 kg of carbon? Round your answer to the nearest hundredth if needed.

10.	In a mixture of CaCO3 and C_aSO₄ the ratio of C_aCO₃ to C_aSO₄ molecules is 7 to 4. If there are 36 billion molecules of C_aSO₄, how many total molecules are in the mixture?

Key #2

aKey #2

Complete.

11.	The ratio of indoor basketballs to outdoor basketballs at the Megalopolis recreation center is 6:4. If the rec center has 33 basketballs, how many of them are indoor basketballs?

12.	The Littleville basketball team tries 2 field goals for every free throw. They make a third of their attempts of either try. If they make 14 free throws in a game, how many field goals are they expected to make?

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