Seven children are standing in a circle. No two boys are standing next to each other. No three girls are standing next to each other. How many girls are there standing in the circle ?

Rabbit Borya likes cabbage and carrots very much. Each day, he eats either 9 carrots, or 2 heads of cabbage, or 1 head of cabbage and 4 carrots. Last week, Borya ate 30 carrots. How many headss of cabbage did he eat last week ?

The sum of the digits of the number 2014 is 7. How many numbers between 100 and 1000 also have 7 as the sum of their digits ?

Nick has written each of the numbers from 1 to 9 in the cells of the 3 x 3 table. Only four of these numbers can be seen in the figure. Nick has noticed that for the number 5, the sum of the numbers in the neighbouring cells equals 13  ( neighbouring cells are cells sharing a side ). He noticed the same applies to the number 6. Which number has Nick written in the shaded cell ?

On planet Kangaroo, each kangyear has 20 kangmonths and each kangmonth has 6 kangweeks. How many kangweeks are there in one quarter of a kangyear ?

The solid in the picture was made by sticking eight equal cubes together. What does this solid look like when seen from above ?

Mary had equal numbers of white, blank and striped tokens. She used some of the tokens to make the pile shown in the figure

She still has five tokens which are not in the pie. How many black tokens did she have in total ?

Which tile must be added to the picture so that the total light area is as large as the total dark area ?

Ann has four pieces as shown

With these she can comoletely cover the shape: 

Where should she put the piece  

There were some candies in a bowl.  Then Tom took half of the candies. Then Tom took half of the candies left in the bowl. After that, Clara took half of the remaining candies. In the end there were 6 candies in the bowl. How many candies were there in the bowl at the beginning ?

Alice has to place different shapes in the table so that each distinct shape appears exactly once in each row ad each column.

What shape should Alice place n the grey square ?

Which tile must be in the shade square so that the line is connected ?

Mr. Brown has painted flowers on the stone window ( see the picture ). What do these flowers look like from the other side of the window ?

Monica writes numbers in the diagram so that each number is the product of the two numbers below it. Which  number should she write in the grey cell ?

Adam built fewer sandcastles than Martin but more than Susan. Lucy built more sandcastles than Adam and more than Martin. Dana built more sandcastles than Martin but fewer than Lucy. Who built the most sandcastles ?