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Advanced

The Bermuda Triangle

A triangle with an inscribed rectangle. What is the maximum red fraction?

Categories
Intermediate

The mouse and the elephant

Two squares and a semicircle of diameter 4. What is the total square area?

Categories
Intermediate

The green flag

A square of side length 2 shares a vertex with another square that is elongated to form a green rectangle. What is the rectangle area?

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Beginner

Ray of light

A triangle with an inscribed triangle with a parallel side. What fraction is yellow?

Categories
Beginner

Gizeh

Two equilateral triangles and a quarter circle that goes through both apexes. If the smaller triangle has area 1, what is the total shaded area?

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Intermediate

Up and down

A semicircle and a square. Three secants and a tangent form two triangles. What is their area proportion?

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Intermediate

The egg basket

A regular hexagon with a diagonal and a line segment connecting a vertex to a point on the other side. The two triangle areas are given. What is the hexagon’s area?

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Intermediate

Pandora’s box

A square containing five other squares. What fraction is coloured?

Categories
Intermediate

Another brick

A rectangle and a quarter circle. What is the area of the rectangle?

Categories
Advanced

The Common Snowdrop

A square contains a smaller square. Their vertices are cyclically connected as shown, forming four triangles. What is the minimal green area fraction?