Problems

Age
Difficulty
Found: 2011

Draw how Robinson Crusoe should put pegs and ropes to tie his goat in order for the goat to graze grass in the shape of a hexagon

Draw a picture how Robinson used to tie the goat and the wolf in order for the goat to graze the grass in the shape of half a circle.

Draw a picture how Robinson used to tie the goat and the wolf in order for the goat to graze the grass in the shape of a young moon (see the picture below)

image

Draw a picture how Robinson used to tie the goat and the wolf in order for the goat to graze the grass in the shape of half a ring.

Each number denotes the area of a rectangle it is written into. What is the area of the last rectangle? (That is, the yellow one)

image

Divide the trapezium into two parts such that they can be reassembled to make a triangle

image

In a square \(ABHI\) two smaller squares are drawn: \(ACFG\) with area equal to \(16\) and \(BCED\) with area equal to \(4\). Find the area of hexagon \(DEFGIH\).

image

If each of the small squares has an area of \(1\), what is the area of the triangle?

image

Divide the parallelogram into two parts such that they can be reassembled to make a triangle.

image