Worker bees paint the sides of a regular hexagonal cell red, green and orange, with adjacent sides in different colours. Three sides have already been painted as shown. In how many ways can they paint the remaining three sides?
Nam creates a code in which the letters of MATEMATICA are written as follows:
M A T E M A T I C A
13 7 8 25 13 7 8 2 6 7
How is MAMAITA written in this code?
In a game, fruit can be exchanged according to the diagram. Peter has 4 pineapples . How many cherries does he receive if he exchanges all his pineapples for cherries only?
Three squirrels, Brown , Red and Yellow , collect chestnuts. Their starting positions are shown. Each always chooses the nearest remaining chestnut, then continues to the next nearest one. Which squirrels collect more than one chestnut? They start together and run at the same speed.
Sơn has 2 yellow hexagons , 3 green triangles , 4 red trapeziums and 2 blue parallelograms . He uses all these pieces to make different animals. Which animal cannot be made?