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606 projects · 13 streams · every class

Pure Mathematics projects 5

Patterns, proofs and constructions in algebra, geometry, number theory and calculus.

FiltersPure MathematicsEasyFor: science fair
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5 Pure 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.

Field StudyHousehold materialsFull guide

  • Easy
  • 1 day
  • Under 250

Pure Mathematics · Geometry

Prove the Pythagorean theorem five ways

Build paper dissections and algebraic proofs of the theorem and compare how each convinces.

InvestigationHousehold materialsFull guide

  • Easy
  • 2–7 days
  • Under 250

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.

InvestigationHousehold materials

  • 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.

InvestigationHousehold materials

  • Easy
  • 1–3 hours
  • Free

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