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Pure Mathematics projects 5

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

5 Pure Mathematics projects

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Pure Mathematics + Biology

Explore the Fibonacci sequence in nature

Count spirals on pine cones, sunflowers and pineapples and test whether they are Fibonacci numbers.

InvestigationHousehold materialsFull guide

  • Beginner
  • 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.

InvestigationNo equipment

  • 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.

InvestigationHousehold materials

  • Easy
  • 1 day
  • Under 250

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