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Pure Mathematics Project Ideas

Science Fair Project Idea
People often draw conclusions from a small number of observations, and use those conclusions to evaluate the likelihood that an event will take place. But how easy is it to draw the wrong conclusion based on those observations? Will your predictions be accurate if an experiment is only performed a few times? The objective of this project is to determine what happens when a test with two equally-likely outcomes is performed only a small number of times. You can test this by flipping a coin. A… Read more
Math_p006
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Time Required Very Short (≤ 1 day)
Prerequisites None
Material Availability Readily Available
Cost Very Low (under $20)
Science Fair Project Idea
Many industries rely on scale models to develop new products and designs. Architects, industrial designers, artists, clothing designers, and car manufacturers all use scale models. Each model is built to a scale that relates the actual object to the model through a ratio. Can you determine a formula for constructing a scale model? You can use your formula to make a model of your house, school, neighborhood, or town (CUBE, 2002). You can make scale models of the Wright Brothers aircraft… Read more
Math_p028
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Time Required Average (6-10 days)
Science Fair Project Idea
This project shows how mathematical probability sometimes contradicts our intuition. Despite the fact that there are 365 days in a year, if you survey a random group of just 23 people there is a 50:50 chance that two of them will have the same birthday. Don't believe it? Try this project and see for yourself. Read more
Math_p007
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Time Required Very Short (≤ 1 day)
Prerequisites None
Material Availability Readily Available
Cost Very Low (under $20)
Science Fair Project Idea
Take shots at a set distance from the basket, but systematically vary the angle to the backboard. For a basic project: How do you think your success rate will vary with angle? Draw a conclusion from your experimental results. A bar graph showing success rate at different angles can help to illustrate your conclusion. For a more advanced project: Use your knowledge of geometry and basketball to come up with a mathematical expression to predict your success rate as a function of angle… Read more
Math_p037
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Time Required Short (2-5 days)
Science Fair Project Idea
You're playing Monopoly with a friend, and you've already got Park Place and you really, really want to get Boardwalk. If you're on Pacific Avenue, what are the chances you'll reach your goal? Here's an easy project that will show you how to find out. Read more
Math_p001
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Time Required Average (6-10 days)
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
thumbnail If you like to play Tetris then you might like this project. You'll learn something interesting about the mathematics of complex shapes. Read more
Math_p009
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Time Required Short (2-5 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
Can you remember what the weather was like last week? Last year? Here's a project that looks at what the weather was like for over a hundred years. You'll use historical climate data to look at moisture conditions in regions across the continental U.S. You'll use a spreadsheet program to calculate the frequency of different moisture conditions for each region and make graphs for comparison. Which part of the country has the most frequent droughts? The most frequent periods of prolonged… Read more
Math_p040
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Time Required Short (2-5 days)
Science Fair Project Idea
Block off one-third of a soccer net with a cone, 5-gallon bucket or some other suitable object. Shoot into the smaller side from a set distance, but systematically varying the angle to the goal line. Take enough shots at each angle to get a reliable sample. How does success vary with angle? For a basic project: How do you think your success rate will vary with angle? Draw a conclusion from your experimental results. A bar graph showing success rate at different angles can help to… Read more
Math_p038
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Time Required Short (2-5 days)
Science Fair Project Idea
thumbnail If you've ever wondered how tall that bridge is, or how high your kite was, then this could be a good project for you. You'll learn how you can use the mathematics of right triangles to measure the height of an object with two measurements that you can make on the ground. Read more
Math_p026
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Time Required Short (2-5 days)
Prerequisites None
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
Math can make you money! If you understand some basic math, you can make good decisions about how to keep, spend, and use your hard earned dollars. Try an experiment comparing the same balance in different types of bank accounts. How much better is a savings account than a checking account? What difference does the interest rate make? Which is better, an account that earns compound or simple interest? Can you compare the short and long term costs of borrowing money compared to saving the cash… Read more
Math_p027
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Time Required Short (2-5 days)
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