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Pure Mathematics Project Ideas (42 results)

Wikipedia defines mathematics as "the study of quantity, structure, space and change." With a definition like that, it's easy to see why math is often called "the language of science." Math is essential for analyzing and communicating scientific results, and for stating scientific theories in a way that is clear, succinct, and testable. Start your science adventure by choosing a project from our collection of mathematics experiments.

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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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- Less Details
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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- Less Details
Time Required Average (6-10 days)
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
Science Fair Project Idea
If you like to play Tetris, then you might like this project. You will learn something interesting about the mathematics of complex shapes as you try to prove Pick's Theorem. The strange shape below is an example of a lattice polygon, which is a polygon whose vertices lie on points in the plane that have integer coordinates. As you can see, it is a complex shape, but there is an easy way to calculate its area, by simply counting lattice points! If you count the number of lattice points on… 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
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
Have you ever used a toy like a Spirograph® to draw precise, repeatable patterns on a piece of paper? What if you could use a computer to automatically draw the patterns for you? This project will show you how to do just that using the . Check out the video to see what this simple, but fun, project looks like: This project requires use of a tiny computer called a Raspberry Pi and is fun and easy for even complete beginners. By following the step-by-step directions that come with the… Read more
CompSci_p060
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- Less Details
Time Required Average (6-10 days)
Prerequisites None
Material Availability Estimated project time includes shipping for the kit. The project itself will take less than one day.
Cost Very High (over $150)
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)
Science Fair Project Idea
This a straightforward, but interesting, project in geometry. It is a good first proof to try on your own. You should be able to figure it out by yourself, and you'll gain insight into a basic property of circles. Figure 1 below shows a semicircle (AE, in red) with a series of smaller semicircles (AB, BC, CD, DE, in blue) constructed inside it. As you can see, the sum of the diameters of the four smaller semicircles is equal to the diameter of the large semicircle. The area of the larger… Read more
Math_p010
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- Less Details
Time Required Very Short (≤ 1 day)
Prerequisites Must understand the concept of a mathematical proof
Material Availability Readily available
Cost Very Low (under $20)
Safety No issues
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