Two pulleys carrying three weights of 30, 70 and 50 grams. Given that the constellation is in equilibrium, what’s the angle?
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The pulley problem
Category: Intermediate
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The drop shadow
Two congruent squares share a vertex. What’s the angle α?
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The white flags
Three congruent squares and three shared vertices. What fraction is blue?
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The divided diagonal
A square diagonal is divided in three by a 45-degree angle. Two pieces are given, what is the length of the third?
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Domino day
Three congruent rectangles consisting of two squares each are placed as shown. What is the blue area?
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The eye of the beholder
A square and two equilateral triangles inside and touching a circle. What’s the angle α?
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The star of Bethlehem
Two concentric equilateral triangles with parallel sides. What fraction is orange?
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The bowtie
A square and two congruent isosceles triangles with variable top angle. What is the maximum fraction shaded?
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The inner triangle
A triangle and two medians. What fraction is shaded?
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The ace of diamonds
Four congruent right triangles form a rectangle. What fraction is red?