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Geometry puzzles (contest style)

Questions at easy, medium and hard levels. Pick a level and get a fresh set every time, with instant feedback.

Learn it Look for hidden structure: rearrange pieces, use symmetry, and remember that sliding edges doesn't change a perimeter.

Example: Joining the midpoints of a 10 × 10 square makes a smaller square. What is its area?

  1. The 4 corner triangles fold in exactly onto the inner square.
  2. So the inner square is half the big one.
  3. $100 \div 2 = 50$.

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