In the addition shown on the figure the digits of the numbers are replaced by symbols. Different symbols represent different digits, and equal symbols represent equal digits. Find the digit replaced by the square.

The date 01-03-05 ( 1^st March 2005 ) has three consecutive odd numbers. This is the first day in the 21^st Century with this property. How many days with this property are there in total in the 21^st Century ?

In a regular die, the faces are numbered by the numbers 1 to 6 and the sum of the numbers on any two opposite faces is 7. Nick composed a rectangular prism 2 x 2 x 1 using four identical regular dice, with the numbers on any two touching faces of the dice being equal ( see the figure ). The numbers on some faces are shown. Which number must be written on the face denoted by the (?) ?

The structure shown on the figure is glued together from 10 cubes. Roman painted the entire structure, including the bottom. How many faces of the cubes are painted ?

The total number of participants in a math club is between 50 and 100. The club teacher wanted to divide them in teams. He tried to group the students in 5, or 6, or 12 per team, and noticed that there were always 3 students left. How many students are there in the math club ?

Two rectangles, ABCD and DBEF are shown in the diagram. The length of AD is 3cm; the length of AB is 4cm. What is the area of rectangle DBEF ?

In the figure, ABCD is a rectangle; E is the midpoint of AB; F is the midpoint of BC. What is the ratio between the area of the rectangle ABCD and the area of the triangle AEF ?

Paul wanted to multiply a whole number by 301, but forgot to include te zero and multiplied by 31 instead. His answer was 372. What should his answer have been ?

In a tournament FC Barcelona scored a total of three goals, and conceded one goal. In the tournament the team had won one game, lost one game and drawn one game. What was the score in the game that FC Barcelona won ?

If you are given the three corner points of a triangle and want to add a fourth point to make the four corners of a parallelogram. In how many places can the fourth point be placed ?

Daniel wants to make a complete square using pieces only like those shown. What is the minimum number of pieces he must use ?

10 children are at a judo club. Their teacher has 80 sweets. If he gives each girl the same amount of sweets, there are three sweets leftover. How many boys are at the club ?

A cat had 7 kittens. The kittens had the colours white, black, ginger, black-white, ginger-white, ginger-black, and ginger-black-white. In how many ways can you choose 4 kittens so that each time two of them have a colour in common ?

Numbers are to be built using only the digits 1, 2, 3, 4 and 5 in such a way that each digit is only used once in each number. How many of these numbers will have the following property: The first digit is divisible by one, the first 2 digits make a number which is divisible by 2, the first 3 digits make a number which is divisible by three, the first 4 digits make a number which is divisible by 4 and all 5 digits make a number which is divisible by 5.

In one month, 5 Sundays occurred. This mond could not have