Categories
Beginner

The radio telescope

A square contains two triangles. What fraction of the square do they cover?

Categories
Beginner

The warning triangle

An equilateral triangle contains three congruent rectangles. Two distances on its base are given. What fraction is white?

Categories
Intermediate

The baby brother

Three small right triangles embedded in a large right triangle. Two of the areas are given. What’s the area of the smallest one?

Categories
Beginner

The tumbler doll

A circle within an equilateral triangle within a circle. What fraction is shaded?

Categories
Intermediate

The folded triangle

An equilateral triangle is folded with its left side at right angles with the base. What fraction of the total triangle is shaded?

Categories
Beginner

The circus tent

A regular octagon is coloured as shown. What fraction of its area is red?

Categories
Beginner

The windshield wipers

A square and two rectangles, connected by two circular arcs, form a square. What is the proportion of the orange to the green area?

Categories
Intermediate

Velocipede II

Two circles of area π and 9π respectively are contained in a parallelogram. What’s its area?

Categories
Beginner

The square peg

A square is fitted into an equilateral triangle as shown. What fraction is shaded?

Categories
Beginner

The velocipede

Two circles are embedded in a frame of size 9 x 8. What is their total area?