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Fractions
Complete.
1.   Julia wanted to make bread pudding with lemon sauce for dessert for her family. However, she couldn't find a recipe that would make four servings. She decided to use a recipe for eight servings and use only half as much of each ingredient. The recipe for eight called for two and a third cups of raisins. How many cups of raisins will she need for four people?

2.   * This is a pre-made sheet.
Use the link at the top of the page for a printable page.

Complete.
3.   One-third of the class grew peas, one-third grew carrots, and one-third grew beans. The class consisted of 63 students of which three-sevenths were girls. The teacher chose the three groups to be as equal in their boy-girl composition as possible. How many boys and girls were assigned to each team?

4.   If half of all type-Y organisms are bristly and five-sixths 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 739?


 

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 half 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 five 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.   Two objects (very tiny space ships actually) hit a wall. Object one applied a force of 7/13 of a Newton to the wall and object two applied a force of 4/7 of a Newton. Prove which one applied the larger force. (force = mass x acceleration)

8.   Caleb is hiking in the national park. He is on a 6 1/2-mile hike and he makes four evenly spaced rest stops along the way. At what mile of the hike does he make his last stop?


Complete.
9.   Three labs measured the iron content of an ore sample sent to them by Terra-Chem, Inc. The first lab reported 13 mg of iron per cm3. The second lab reported a concentration of 4/5 that and the third lab reported a value of about 1 1/5 of the value reported by lab 2. What was the iron concentration reported by lab 3? Round your answer to the nearest hundredth of a milligram.

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 63C and now the temperature has risen to 83C and stabilized. The Boiling point of compound-B is 2C. 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.   William has a challenging training regimen. He trains for two hours every other day. Out of these two hours he jogs for 10 minutes, stretches for 6 minutes, sprints for 3 minutes, rides a bicycle for 7 minutes, and lifts weights for 22 minutes. The rest of the time he is resting. What fraction of his training time is spent resting?

12.   Robert plays shortstop for the Littleville baseball team. He is an excellent base runner. He is successful in stealing second base 88% of the time and successful stealing third base 70% of the time. He attempted to steal second 18 times and third 10 times last year. What fraction of his attempts failed?


 


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