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Fractions
Complete.
1.   Courtney is making chocolate milkshakes for Savannah's birthday party. There will be fourteen people at the party. It takes a third of a cup of milk to make one chocolate milkshake. How many cups of milk will it take to make fourteen milkshakes?

2.   * This is a pre-made sheet.
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Complete.
3.   Professor Crump maintains his theory is correct. He states "the concentration of krill is reduced by 1/3 every time a pod of baleen whales passes by." Consider an area of the ocean where the krill concentration is 44/m3. If Professor Crump's theory were correct, what would we expect the krill concentration to be after a pod of whales comes through and feeds? Round your answer to the nearest whole number.

4.   If half of all type-Y organisms are bristly and eight-ninths of all type-Y organisms are wrinkly, what is the maximum number of type-Y organisms that are neither bristly nor wrinkly out of a sample population of 1,077?


 

Key #2
aKey #2
Complete.
5.   Mr. Bloop is giving a demonstration using a water trough. This is a device used to observe (among other things) the action of water on sediments. He began with a flow rate of one and a third gallons per minute (gpm) and every thirty seconds he halved the rate. Throughout the demonstration the students watched small marked stones move down the trough. What was the flow rate (in gpm) after he halved the rate three times? Express your answer as a fraction.

6.   A new island has formed off the coast of Bay City, which is not unexpected since it is near a subduction zone. The island is currently about 1 km2. How many years would it take for the island to increase its area by one-half through volcanic activity if it expands at a rate of one-eighth of a square kilometer each year?


Complete.
7.   Anna is riding her bicycle on the hike and bike trail around Village Lake. She rides 35 minutes and travels 8 1/3 miles. She then takes a 10 minutes rest. After resting (and eating an energy bar) she rides another 50 minutes and covers 15 1/3 miles. What was her average speed for the entire trip in miles per hour? (include the time she rested in the answer)

8.   Amanda estimates that one-fifth of a certain type of stone has a mass greater than one-eighth of a gram. If she has 400 of these stones, about how many stones have a mass less than or equal to one-eighth of a gram?


Complete.
9.   A 500-gram package of growth powder made by Z-Globe contains 0.03% yeast extract by mass. What fraction of the powder is not yeast extract?

10.   A mixture of organic compounds is distilling. As the boiling point of each compound in the mixture is reached, the liquid boils at that temperature until the entire compound is gone and then the temperature rises to the boiling point of the next higher boiling compound. Compound-A boiled at 66C and now the temperature has risen to 80C and stabilized. The Boiling point of compound-B is 1C. From this we can conclude that the boiling point of compound-A is _________________ of the boiling point of compound-B. (Note: Fill in the blank above with a fraction that makes the statement true)


 

Key #2
aKey #2
Complete.
11.   Katherine is training hard during the off-season to become a better pitcher. She spends 12 hours a week pitching, 5 hours a week running, and 3 hours a week lifting weights. What fraction of her training time is spent on pitching?

12.   Brian has a challenging training regimen. He trains for two hours every other day. Out of these two hours he jogs for 13 minutes, stretches for 6 minutes, sprints for 3 minutes, rides a bicycle for 8 minutes, and lifts weights for 29 minutes. The rest of the time he is resting. What fraction of his training time is spent resting?


 


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