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 9
Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.
9 Mathematics projects
Pure Mathematics + Biology
Explore the Fibonacci sequence in nature
Count spirals on pine cones, sunflowers and pineapples and test whether they are Fibonacci numbers.
- Beginner
- 2–7 days
- Free
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 · 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
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 · 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
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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