Statistics and Probability · Probability
Test the birthday paradox
Calculate and test the chance that two people in a group share a birthday.
- Easy
- 1–3 hours
- Free
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Mathematics projects 6
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
6 Mathematics projects
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Applied Mathematics + Sociology
Model the spread of a rumour
Build a logistic model of how a rumour spreads through a school and test it with a class game.
- Intermediate
- 1–2 weeks
- Free
Applied Mathematics + Civil Engineering
Model traffic flow with cellular automata
Simulate cars on a ring road and show how jams appear from nothing above a critical density.
- Advanced
- 1–2 weeks
- Free
Applied Mathematics · Simulation
Simulate a queue at a bank or canteen
Measure real arrival and service times and simulate how the queue changes with one more counter.
- Intermediate
- 1–2 weeks
- Free
Applied Mathematics + Programming
Solve the travelling salesman problem for your city
Find a short route through 15 places in your city and compare exact and heuristic methods.
- Advanced
- 1–2 weeks
- Free
Statistics and Probability · Probability
Investigate the Monty Hall problem
Play the three-door game 100 times each way and show why switching wins two-thirds of the time.
- Easy
- 1–3 hours
- Free
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