In how many ways can you place the three kangaroos in three different cells, out of the seven cells below, so that no two kangaroos are neighbours ?

Four points lie on a line. The distances between them are, in increasing order: 2, 3, k, 11, 12, 14. What is the value of k ?

Basil used small cubes with side 1 to construct a cube with side 4. After that, he painted 3 faces of the big cube red and the other 3 faces blue. After her finished, there was no small cube with 3 red faces. How many small cubes have both red and blue faces ?

Aron, Bern and Carl always lie. Each of them owns one stone, either a red stone or a green stone. Aron says: “ My stone is the same color as Bern’s stone”, Bern says: “ My stone is the same color as Carl’s stone”. Carl says: “ Exactly two of us own red stones”. Which of the following statements is true ?

66 cats signed up for the contest MISS CAT 2013. After the first round 21 were eliminated because they failed to catch mice. 27 cats out of those that remained in the contest had stripes and 32 of them had one black ear. All striped cats with one black ear got to the final. What is the minimum number of finalists ?

A 2 x 2 x 2 cube is to be constructed using 4 white and 4 black unit cubes. How many different cubes can be constructed in this way ? ( Two cubes are not different if one can be obtained by rotating the other )

How many 3-digit numbers possess the following property: after subtracting 297 from such a number, we get a 3-digit number consisting of the same digits in the reverse order ?

Alice forms 4 identical numbered cubes using the net shown. She then glues them together to form a 2 x 2 x 1 block, as shown. Only faces with identical numbers are glued together. Alice then finds the total of all the numbers on the surface of the block. What is the largest total that Alice can get ?

Matthew is catching fish. If he had caught three times as many as he actually did, he would have 12 more. How many fish did he catch ?

 A cake weight 900g. Paul cuts it into 4 pieces. The weight of the largest piece is the same as the total weight of the other three pieces. What is the weight of the largest piece ?

Two big rings-one grey, one white – are linked to each other. Peter, in front of the rings, sees the rings as in the picture.

Paul is behind the rings. What does he see ?

In the addition beside, some of the digits have been replaced by stars. What is the sum of the missing digits ?

What is the difference between the smallest 5-digit number and the largest 4-digit number ?

Katrin has 38 matches. She built a triangle and a square, using all the matches. Each side of the triangle consists of 6 matches. How many matches are in each side of the square ?

A square of perimeter 48 cm is cut into 2 pieces to make a rectangle ( see the picture )

What is the perimeter of the rectangle ?