Science Fair Projects and Experiments Sample projects and experiments that can be turned easily into successful science fair projects
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Science Fair Projects and Experiments
Topics, Ideas, Resources and Sample Projects
For Elementary, Middle and High School Students

 Science Fair Projects Home Mathematics Number Theory Mathematics Science Fair Projects Home Statistics & Probability Geometry & Trigo Applied Mathematics Game Theory Number Theory Learning & Cognition Algebra & Calculus
P=Project   E=Experiment
Crank 0 Partitions and the Parity of the Partition Function [E]
Determine if a formula can be derived to find the number iterations it takes to reach zero or the Kaprekar Constant (6174) without going through the Kaprekar Routine. [E]
The Random Fibonacci Sequence [E]
Discover a method to multiply two numbers represented by the same quadratic form. [E]
Efficient True Random Number Generation [E]
Examine the correlation between the Fibonacci sequence and the spiral phyllotaxis, or leaf arrangement, of various plants occurring in nature. [E]
Test three random number generators (functions in Excel, C++, and Java) and evaluated the results using chi-square values from each experiment to determine which program was most likely to generate unbiased random numbers. [E]
Prove if Benford's Law applies to randomly generated numbers, and not just to numbers occuring from natural data sets. [E]
Experimental Verification of the Prime Number Theorem [E]
Build a binary marble adding machine [E]
What is a prime number? [P] [P]
The Efficiency of Prime-Testing Algorithms [E]
Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences. [P]
A Mathematical Proof of a Relationship between Fibonacci and Lucas Numbers [E]
Pseudo-Random Numbers [E]
How to find perfect numbers. [E]
Is there a general divisibility rule, or pattern, that applies to any number? [E]
Observe the occurrences of Fibonacci numbers, sequences, the Fibonacci ratio, and the Fibonacci spiral in nature. [E]
Develope a circle map that represents the Collatz transformation and investigates its properties to make progress in proving the Collatz conjecture. [E]
Find out if there is a number that will disprove Goldbachs Conjecture [E]
What patterns are formed when number sequences are translated into different base systems and interpreted in base-10? [E]
Inverse Symmetry Pattern in the Multiplication Table [E]

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