Pure Mathematics · Combinatorics
Find patterns in Pascal's triangle
Build 16 rows of the triangle and discover at least six patterns hidden in it.
- Easy
- 1–3 hours
- Free
606 projects · 13 streams · every class
Mathematics projects 35
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
35 Mathematics projects
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Pure Mathematics · Algebra
Create a mathematical card trick and explain it
Learn three self-working card tricks and prove with algebra why each works.
- Easy
- 1 day
- Under 250
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
Optimise a school bus route
Use real stop locations to redesign one bus route and estimate the time and fuel saved.
- Advanced
- 2–4 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
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
Statistics and Probability + Development and Applied Economics
Compare measures of central tendency with real incomes
Show with real data why the mean and the median tell different stories about income.
- Easy
- 2–7 days
- Free
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