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Use algebra and geometry to calculate the relative probability of making a successful bank shot from different positions on the court, keeping the distance to the hoop constant. Then test if you can reproduce your predictions with a scale model.
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A statistical estimation of the No. of headwords in a dictionary and the size of your vocabulary. [E] Determine if flipping a coin is truly random. [E] Does The Size Of A Circle Affect The Value Of Pi? [E] Test the relationship between the three different dimensions (length, width and height) of a threedimensional object with a constant volume. [E] Measure the dimensions of different juice box products to find out which manufacturer has the largest volume of juice and uses the least amount of packaging material. [E] Find out if playing video games can improve or hurt your math skills. [P] Does music affect students' math performance? [P] [P] Mathematics: Is There a Gender Difference? [E] Measure the distance balls travel when launched from a catapult, and use the results to construct a histogram and assess the catapult's reliability. [E] How Fractals Can Explain What's Wrong with Wall Street [E] What Makes a Team's Winning Percentage Deviate from the Pythagorean Relationship? [E] Devising an Algorithm for Solving Rubik's Cube [E] Determine the best algorithm for strategy games. [E] Discover a method to multiply two numbers represented by the same quadratic form. [E] Research the Leibniz and Newton calculus controversy [E] 
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