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
606 projects · 13 streams · every class
Mathematics projects 17
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
17 Mathematics projects
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
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
Pure Mathematics · Geometry
Prove the Pythagorean theorem five ways
Build paper dissections and algebraic proofs of the theorem and compare how each convinces.
- Easy
- 2–7 days
- 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
Statistics and Probability · Data Analysis
Survey and model how students spend their time
Collect time-use data from 50 students and compare school days with weekends.
- Easy
- 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
Pure Mathematics + Geography
Investigate the four-colour theorem with maps
Colour maps of states and districts with as few colours as possible and link it to graph colouring.
- Easy
- 1 day
- Under 250
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 · 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
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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