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
606 projects · 13 streams · every class
Mathematics projects 15
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
15 Mathematics projects
Applied Mathematics + Behavioural Economics
Analyse a simple game with game theory
Play repeated prisoner's dilemma with classmates and compare what they do with the theory.
- Intermediate
- 2–7 days
- Free
Applied Mathematics + Physics
Derive and test the formula for a pendulum by dimensional analysis
Predict how period depends on length using only units, then confirm the power law with a log-log graph.
- Intermediate
- 1 day
- Under 250
Pure Mathematics · Calculus
Find the best shape for a container
Find the dimensions of a can that hold a fixed volume with the least material, and compare with real cans.
- Intermediate
- 2–7 days
- Under 250
Statistics and Probability · Data Analysis
Predict cricket scores with a simple model
Use the score at 10 overs to predict the final total and measure how wrong you are.
- Intermediate
- 1–2 weeks
- Free
Statistics and Probability · Statistics
Analyse whether a class's exam marks are normally distributed
Plot anonymous marks from several tests and check how well a bell curve describes them.
- Intermediate
- 2–7 days
- Free
Applied Mathematics + Finance and Banking
Study the mathematics of loans and EMIs
Derive the EMI formula from a geometric series and build a full repayment schedule.
- Intermediate
- 2–7 days
- 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
Pure Mathematics + Programming
Visualise fractals with code
Draw the Koch snowflake, Sierpinski triangle and Mandelbrot set and measure a fractal dimension.
- Intermediate
- 2–7 days
- Free
Applied Mathematics + Political Science
Investigate voting systems with mathematics
Collect ranked preferences from your class and show that different voting rules pick different winners.
- Intermediate
- 1–2 weeks
- Free
Statistics and Probability + Media and Journalism
Use statistics to check a newspaper claim
Pick five statistical claims from the news, find the original data and judge each.
- Intermediate
- 1–2 weeks
- Free
Applied Mathematics · Operations Research
Use linear programming to plan a diet or a timetable
Formulate a real two-variable problem, solve it graphically and check with a solver.
- Intermediate
- 2–7 days
- Free
Applied Mathematics + Geography
Model population growth of your town
Fit exponential and logistic models to census data and forecast the next count.
- Intermediate
- 1–2 weeks
- Free
Statistics and Probability + Earth Science
Build a statistical profile of your local weather
Use ten years of daily data to describe what is normal and what is extreme for each month.
- Intermediate
- 1–2 weeks
- Free
Pure Mathematics + Programming
Map your school as a graph and find shortest paths
Model corridors and rooms as a graph and find the fastest route between any two rooms.
- Intermediate
- 2–7 days
- Free
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