Categories
Beginner

Drilling site

A blue flagpole is erected near a drilling site. Lines are drilled perpendicular to the flagpole guy wires and meet at the bottom of the orange drilling pipe. What is the ratio of distances green to red?

Categories
Intermediate

Quad stretches

Two squares sharing a vertex and two overlapping coloured quadrilaterals from square side midpoints. What is the area proportion of the blue and the red quadrilateral?

Categories
Advanced

Ends of the spectrum

Two squares and a rectangle. Prove that red = blue.

Categories
Intermediate

Tangent latitudes

Tangent lines QC and EC meet at C. A point D on QC has DC=1 and QD=2. The line ED intersects the circle at G, and the line HGI is parallel to QDC. What is HG/GI?

Categories
Advanced

Siamese triplet III

Three circles and a triangle. What is red : green?

Categories
Beginner

The Siamese triplet

Three circles with a common intersection point and two triangles. What is α : β?

Categories
Intermediate

Consecutive numbers

A triangle with its incircle. What’s a : b : c?

Categories
Intermediate

Hex division II

A regular hexagon and two equals angles. What is blue : green : red?

Categories
Intermediate

Blocking the view

Two squares and one extended side. What is purple : red?

Categories
Beginner

Nearly the same

Two rectangles are positioned with the side of each one along the diagonal on the other. Furthermore, two of their sides have the same length, as marked. What is the quotient of areas (A+B)/(C+D)?