606 projects · 13 streams · every class

Mathematics projects 7

Investigations, models, simulations and visual proofs that show mathematics at work, from school topics to university-level modelling.

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Difficulty

7 Mathematics projects

Pure Mathematics + Fine Arts

Find which regular polygons tile the plane and create an Escher-style tile.

Art ProjectHousehold materials

Statistics and Probability + Biology

Use capture-recapture with beans to estimate a hidden total, then judge how accurate the method is.

ExperimentHousehold materials

Statistics and Probability · Probability

Invent a spinner or dice game, test whether it is fair and fix it if not.

GameHousehold materials

Pure Mathematics · Algebra

Build 3×3 and 4×4 magic squares and prove why the centre of a 3×3 must be 5.

InvestigationNo equipment

Pure Mathematics + Geography

Colour maps of states and districts with as few colours as possible and link it to graph colouring.

InvestigationHousehold materials

Pure Mathematics · Combinatorics

Build 16 rows of the triangle and discover at least six patterns hidden in it.

InvestigationHousehold materials

Pure Mathematics · Algebra

Learn three self-working card tricks and prove with algebra why each works.

PresentationHousehold materials