11/16/20 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!

1. Present one of your goals, your plan to accomplish it, and discuss your progress.
2. Choose one of the five moral principles of taekwon-do and discuss your relationship to it.
3. Determine the quadrilateral which encloses the greatest area for a fixed perimeter.
4. Determine the quadrilateral which uses the least perimeter to contain a fixed area.
5. Construct and name a parallelogram and a rectangle with equal areas.
6. List the fractions which terminate with 1 in binary.
7. Write 0.72 as an irreducible fraction.
8. Write an equation for each representation of x⁶.
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 an essay about Hinton's exploration of prejudice in The Outsiders.
13. Discuss the similarities between Fiddler On The Roof and East-Side Sushi.

New Problems

• Select a recipe from Mastering The Art of French Cooking and prepare it.
• Review and memorize.
• Create a new history webpage about the oldest mathematical design and update your timeline.
• Imagine yourself as one of the ancient artists and create three similar pieces of art.
• 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.
• Create a new history webpage about the world’s first recorded chemist and update your timeline.
• 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.
• 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.