Pure Mathematics · Trigonometry
Measure heights with trigonometry
Make a clinometer and find the height of your school building, a tree and a tower.
- Easy
- 1 day
- Under 250
606 projects · 13 streams · every class
Mathematics projects 12
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
12 Mathematics projects
Statistics and Probability · Probability
Estimate pi by dropping needles
Drop sticks on ruled paper, count how many cross a line and get an estimate of pi.
- Easy
- 1–3 hours
- Free
Applied Mathematics + Finance and Banking
Study compound interest and inflation
Model how savings grow with interest and how inflation changes their real value.
- Easy
- 2–7 days
- Free
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
Statistics and Probability + Biology
Estimate the size of a crowd or a population by sampling
Use capture-recapture with beans to estimate a hidden total, then judge how accurate the method is.
- Easy
- 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 · 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
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
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 + 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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