# 11/09/20 Test

### For each numbered task, rewrite the problem. When appropriate, provide your analysis of the problem and your proof of the solution. You may not consult anyone or anything except your own brain. Once you begin, you have four hours to complete the test. Good luck and think well!

2. Determine the rectangle which uses 50 yards of border to enclose the greatest area.
3. Determine the rectangle which encloses 120 square kilometers with the least perimeter.
4. Construct and name a parallelogram and a rectangle with equal areas.
5. List twelve fractions which are equivalent to 63/81. Include and identify the irreducible among them.
6. Write 147/2, 147/4, 147/5, 147/8, 147/10, 147/20, 147/25, 147/50, and 147/100 in decimal.
7. Which fractions terminate with n in base b radix?
8. Write an equation for each representation of a4.
9. Explain what isotopes are and give an example.
10. List and describe the branches of the U.S. government.
11. Discuss the relationship between justice and freedom.
12. Write a five paragraph essay defending the pro-life position.
13. Compare and contrast your life to that of the inhabitants of Anatevka in Fiddler On The Roof.

### Before the next test...

• Describe the ways to dissect a rectangle and reassemble the pieces into a parallelogram. Classify the dissections according to their required isometries. Discuss which measures of the quadrilaterals were preserved by the dissections.
• Which fractions have n digits in base b radix?
• Determine the side of a square whose area is 2.
• Create 5 ounces of 20% salt solution.
• Create a new history webpage about the first civilization to record the periodicity of planetary phenomenon and update your timeline.
• Create a new history webpage about the first civilization to record a study of human anatomy. Update your timeline, sketch the organs they identified, and describe their functions.
• Write a play in which two characters duel over Aristotle's claim that happiness is impossible without property.
• Compare and contrast the social systems of hunter-gatherers to that of the earliest civilizations.
• Identify the literary themes in your favorite novel.