Shearer’s Geometry Puzzles

Shearer’s geometry puzzles

On his blog MathWithBadDrawings, Ben Orlin reposted a couple of geometrical sangaku-like puzzles by math teacher Catriona Shearer. These are eleven of her personal favorites. If you dare, definitely give them a try!

Shearer’s Geometry Puzzles

Transit Across a Purple Sun. What’s the total shaded area?

Shearer’s Geometry Puzzles

Shearer’s Emerald. Four squares. What’s the shaded area?

Shearer’s Geometry Puzzles

The Pyramid with Two Tombs. Two squares inside an equilateral triangle. What’s the angle?

Shearer’s Geometry Puzzles

Setting Sun, Rising Moon. What fraction of the rectangle is shaded?

Shearer’s Geometry Puzzles

Hex Hex Six. Both hexagons are regular. How long is the pink line?

Shearer’s Geometry Puzzles

Four, Three, Two. What’s the area of this triangle?

Shearer’s Geometry Puzzles

The Trinity Quartet. All four triangles are equilateral. What fraction of the rectangle do they cover?

Shearer’s Geometry Puzzles

The Falling Domino. This design is made of three 2×1 rectangles. What fraction of it is shaded?

Shearer’s Geometry Puzzles

Slices in a Sector. The three colored sections here have the same area. What’s the total area of the square?

Shearer’s Geometry Puzzles

Disorientation. The right-angled triangle covers ¼ of the square. What fraction does the isosceles triangle cover?

Shearer’s Geometry Puzzles

Sunny Smile Up. What fraction of the circle is shaded?

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matematicaulysses - Profº Ulysses Bueno
Profº Ulysses Bueno

Blog do profº Ulysses TDBueno destinado a curiosidades, demonstrações, links, trabalhos, artigos, imagens e tudo que possa mostrar a matemática no mundo.

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