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 12
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
12 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
Pure Mathematics + Fine Arts
Explore tessellations and design your own
Find which regular polygons tile the plane and create an Escher-style tile.
- Beginner
- 1 day
- Under 250
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
Statistics and Probability · Probability
Design a fair spinner game and prove it
Invent a spinner or dice game, test whether it is fair and fix it if not.
- Beginner
- 1 day
- Under 250
Pure Mathematics · Algebra
Make and analyse a magic square
Build 3×3 and 4×4 magic squares and prove why the centre of a 3×3 must be 5.
- Beginner
- 1–3 hours
- 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
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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