I collected some stuff from around the web and mixed in some of my own… This is more fun, and I actually think this is doable.

Instructions

• Read the instructions and every question very carefully.
• From each of the 6 numbered categories select just one question.
• All your answers should be complete and legible.
• The time limit is 4 hours.
• Begin immediately.

1 Science

A Physics

1. Justify the use of mathematics in science. Be brief, concise and specific.
2. Explain the nature of matter. Be brief, concise and specific.
3. Describe the theory of quantum gravity. Explain the equations in detail. Be brief, concise and specific.
4. Describe the workings of the universe at the molecular level. Pay particular attention to Chaos theory. Predict the weather in Paris for the 29th of February, 2600. Be brief, concise and specific.
5. Derive a universe. Produce three examples. Be brief, complete and specific.
6. Explain cold fusion, and describe in detail the effects of close-range radiation on human flesh. Be picturesque, vivid and specific.
7. Create a small rapidly rotating black hole. Evaluate it’s possible usefulness for time-travel. Be quick, compact and specific.

B Geography

1. Sketch a world map and in it and label all the world’s rivers that annually discharge over 4.3×10^10 metric tons of silt. Be brief, blue and specific.
2. Describe the complete 4.5 billion-year geological history of the Middle East. Be sure to include effects due to volcanism, erosion, meteoritic impacts and human activity. Be brief, comprehensive and specific.
3. Determine the sufficient conditions for the La Palma volcano to landslide into the Atlantic ocean. Write a throughout report of the consequences. Based on your report, justify your position on the IPCC -reports and the development of nuclear power. Be brief, politically correct and specific.

C Biology

1. Several culture dishes have been left in the room. Create life. Document your findings. Penalty points for considering consequences or ethical issues. Bonus points if it’s not carbon -based. Be brief, concise and specific.
2. Outline the steps involved in breeding your own super high yield, all weather hybrid strain of wheat. Describe its chemical and physical properties and estimate its impact on world food supplies. Construct a model for dealing with world-wide surpluses. Be brief, exhilarated and specific.
3. Using the molecular model kit underneath your desk, construct a complete model of a human epithelial cell. Demonstrate all cellular processes with your model, including anaerobic glycolysis, protein production, and meitosis. You may not collaborate with your neighbours.
4. Outline the procedure for developing a infectious disease that will cause symptoms only in people with a specific genetic profile. Only accepted methods of genetic engineering may be used. Discuss pros and cons of the self-regulation in the field. Be brief, ethical and specific.

D Chemistry

1. A poison is in one beaker on your laboratory table; its antidote is in an identical one. Analyse them, determine which is which, and drink both. Hint: if the wrong beaker is drunk first, you will die instantly. Be brief, careful and specific.
2. You will be given 1 lb. of lead to convert to gold. You will find a tripod and three logs under your seat. Show all work including Feynman diagrams and quantum functions for all steps. Return the end result along with all existing documentation with the exam. Be brief, secretive and specific.
3. Beginning with Schrodinger’s equation, derive all physical and chemical properties of water. Discuss why it is the “universal solvent” and its role in all physico-biological processes. You may not approximate in your derivations. Be brief, concise and specific.
4. Produce element 119. Determine its half-life. Be brief, concise and specific.
5. Dissolve thiotimoline without adding any water. Clean up when you are done.

2 Applied Sciences

A Engineering

1. You are presented a truckload of duct-tape. Build either a sail-boat or a paraglider. Prepare for a field-test. Be brief, compact and specific.
2. Determine the positive effect of the global light pollution on the love life of astronomers running away from it. Be brief, concise and specific.
3. Build a working fusion reactor. Stick to the budget and schedule. Be brief, concise and specific.
4. Build a magnet that attracts wood. Be brief, concise and specific.
5. After the exam you have a choice to leave the room through a door with a sign stating: HIC SVNT LEONES. In a box under your seat you will find most disassembled parts of an assault rifle, as well as some ammunition. A 3D-printer and modelling software are at your disposal. Take whatever action you consider safe. Write a letter to justify your decision to a group of militant environmentalists as well as to the management. Be brief, impassionate and specific.

B Computer Science

1. Write a fifth-generation computer language. Using that language, write a program that will complete the rest of this examination. Complete the examination manually as a check of your program.
2. Write a program that will win humans in Calvinball. Run comprehensive unit-tests.

C Medicine

1. You have been provided with a razor blade, a piece of gauze, and a bottle of scotch. Remove your appendix. Do not suture until you work has been inspected. Be quick, clean and specific.
2. Develop cure for cancer. Be brief, concise and specific.

3 Mathematics

1. Define division by zero, and its effects upon
   1. all areas of mathematics. The less effects produced by your definition, the better.
   2. What is the Matrix? Be brief, cryptic and specific.
   3. Using only a compass and line, square a circle. No need to assume Euclid’s 5th postulate.
   4. Provide a counter-example to Goldbach’s Conjecture.
   5. Using intuitionistic logic, prove the incompleteness theorem.
   6. Reconstruct Fermat’s proof of the Fermat’s Theorem.
   7. Show that P = NP.

   4 Arts

   A Fine Art

   1. Given a box of crayons and a sheet of notebook paper, recreate the ceiling of the Sistine Chapel. Skin tones should be true to life. Be small, accurate and excited.
   2. Explain the Mona Lisa’s smile. Relate to three or more similar examples. Relate all interpretations associated with it. Be brief, concise and specific.
   3. Give an objective analysis of the relative significance and quality of the works of the major artists of the past three millenia. Be brief, concise and specific.

   B Linguistics

   1. Trace back to proto-Indo-European the etymologies of every English word containing “sk”. Give all possible cognates in German, Spanish, Czech, Illyrian, and Sanskrit. Be brief, concise and specific.
   2. Construct an artificial language. It should contain no prepositions nor any suffixes. The written language should not contain any logograms. Describe the grammar and vocabulary in that language. Be brief, concise and specific.

   C Literature

   1. Write an essay on the meanings behind and of James Joyce’s Ulysses, and compare and contrast that work with Homer’s Odyssey, Dante Alighieri’s Divina Commedia, Marcel Proust’s Le Temps retrouvé and Volter Kilpi’s Alastalon salissa. Generalize and be specific. Translating quotations not necessary.
   2. Compose an epic poem based on the events of your own life in which you see and footnote allusions from T.S. Eliot, Keats, Chaucer, Dante, Norse mythology and the Marx brothers. Critique your poem with a full discussion of its metrics. As constructive criticism suggest improvements: what could have been added/changed to make it perfect? Be brief, poetic and specific.
   3. Rewrite, from memory, the Book of Ecclesiastes with a counter point of view. Be brief, empathetic and meaningful.

   D Music

   1. Recreate sound in 3D. Include all reference material. Be harmonious, vivid and accurate.
   2. Write a piano concerto blending the styles of early J. S. Bach and late Igor Stravinsky that could win a competition judged by Josef Stalin and John Cage. Orchestrate it as Ravel might have. Perform the solo part. You will find a theremin under your seat.

   E Public speaking

   1. A group of 100 armed men demonstrate for right to defend themselves against aggressively behaving people. Behind a corner approaches a crowd of 1000 people returning from a game their home team has just won. Prevent any news headlines. Only universally recognized gestures permitted. Be quick, concise and effective.

   5 Social Sciences

   A Sociology

   1. Give a psychohistorical account of the following 20 years. Specialize on sociological issues. Design a long-term experiment to test your theory. Write a throughout report. Be brief, concise and specific.
   2. Reconstruct the reasoning of the man who cut down the last tree on the Easter Island. Be brief, imaginative and specific.
   3. Prove the existence and explain the development of the “Boy meets Girl” theory. Be brief, concise and specific.

   B Economics

   1. Analyse the current and past international market failures, their causes and effects. Argue for free markets. Be brief, concise and specific.
   2. Develop a realistic plan for resolving a current major macroeconomical crisis. Re-evaluate the realism of the plan from a political point of view. Be brief, concise and specific.
   3. Describe the algorithm to find a globally optimal solution to the prisoners dilemma. The algorithm takes into account peoples motives. Be brief, concise and specific.

   C History

   1. Describe the growth, development, decline and fall of the Roman Empire. Bonus points for arguing that Hannibal caused the fall. Be brief, concise and specific.
   2. Explain the East-West relationships in Europe in 405 – 1682. CE Include in your analysis a thorough description of all relevant personalities in the Christian, Muslim, and Jewish cultures, as well as a brief but comprehensive description of their ideas. Also cover the military tactics of the Holy Roman Empire and the Papal forces in all wars fought against the Turkish and Mongol armies. Where relevant, also elaborate on the North-South relationships. Be brief, concise and specific.
   3. Describe the chain of events that lead to establishing the Bletchley Park Golf, Chess and Cheese Society – and why it was kept secret for decades. Be brief, paranoid and specific.
   4. When will it be possible to properly estimate the significance of the French revolution? Be brief, concise and specific.

   D Psychology

   1. Employing principles from all the major schools of psychoanalytic thought, successfully subject yourself to analysis. Make appropriate personality evaluations and changes, bill yourself, and fill out all appropriate medical insurance forms. Repeat for the person in the mirror.
   2. Based on your knowledge of their works, evaluate the emotional stability, degree of adjustment, and repressed frustrations of each of the following: Nebuchadnezzar, Empedocles, Pythgoras, Socrates, Tycho Brahe, Queen Victoria. Support your evaluation with quotations from each one’s writings, making appropriate references. It is not necessary to translate.

   E Political Science

   1. Explain why a republic should be considered to be a democracy. Be brief, plausible and specific.
   2. Ohm’s law increases teachers workload in high-school education. Design and carry out a lobbying project to resist it. Be effective, factual and specific.
   3. Analyse the impact the reign of king Ozymandias had on the world history. You may stop at Macchiavelli. Based on your analysis, compose insightful advice to current decision-makers. Be brief, concise and specific.

   6 Philosophy and Religion

   A Philosophy

   1. Sketch the development of human thought; estimate its significance. Compare with the development of other kind of thought. Be brief, concise and specific.
   2. Take a position against truth. Prove the validity of your position. Be brief, verbose and specific.
   3. Trace the development of the major and minor western and eastern moral theories and discuss the impact on free will each has had. Discuss it a second time from a contrary viewpoint. Discuss it a third time from a contradictory viewpoint. Using Aristotelian logic, prove each viewpoint to be unassailable. Be brief, concise and specific.
   4. Assume a classical theory of knowledge. Show that some non-trivial proposition – E.g. “The world is older than 5 minutes.” – is knowledge. Be brief, concise and specific.
   5. Prove that this question does not exist. Show all your work.
   6. Why? Explain your answer. Be brief, concise and specific.
   7. If this is the question, what is the answer? Be brief, confusing and specific.
   8. What is the question given that the answer is 42? Be brief, concise and specific.

   B Religion

   1. Perform a miracle. Creativity will be judged. Results will be submitted to the SCICOP -board for review.
   2. Describe in detail the probable nature of life after death. Test your hypothesis. Write a throughout report. Be brief, concise and specific.
   3. Disprove and prove the existence of God. Be brief, concise and specific.
   4. Describe the history of the concept of God in all relevant Western and Eastern traditions. Be brief, concise and specific.
   5. Describe the history of the Papacy from its origins to the present day, concentrating especially, but not exclusively, on its social, political, economic, religious and philosophical impact on Europe, Asia, America and Africa. Be brief, concise and specific.
   6. Using only rational discourse, convert a Christian Palestinian to Judaism. Be brief, persuasive and specific.
   7. Assuming the Judeo-Christian moral structure, take the stand for Adam and Eve, and the eating of the forbidden fruit. Prepare to explain your position fully to a Chassidic Rabbi, and answer his arguments. A buddhist monk will moderate the debate. Be brief, calm and specific.
   8. Describe the history of all major religions from their earliest origins to the present day. For each of them, device an undeniable argument that will cause adherents of any other religion to immediately and whole-heartedly convert. Be brief, concise and specific.

   Bonus points
   Write a brief critique on the sum total of general knowledge point by point. Be objective and specific.

   Final instructions
   Write an essay explaining your choice of questions. Justify each decision. Be as elaborate as you like. The essay will be graded.
   Return your papers to the examination board in the next room. Latin text will give you a cue, which door.

Good luck.