Hamster Fridolin sets out for the Land of Milk and Honey. His way to the legendary Land passes through a system of tunnels. There are 16 pumpkin seeds spread through the tunnels, as shown in the picture. What is the highest number of pumpkin seeds Fridolin can collect if he is not allowed to visit any junction more than once ?

Which of the following pieces do I need to complete the cuboid ?

1000 litres of water is passed through the water system as shown, into identical tanks. At each junction the water separates into two equal amounts. How many litres of water end up in Tank Y ?

The 8 corners of the shape in the picture are to be labelled with the numbers 1, 2, 3 or 4, so that the numbers at the ends of each of the lines shown are different. How often does the number 4 appear on the shape ?

A shape is made by fitting together the four pieces of card with no overlaps. Which of the following shapes is not possible ?

Andrew writes the letters fron the word KANGAROO in the fields of a table. He can begin where he wants and then must write each consecutive letter in a field that shares at least one point with the previous field. Which of the following tables could Andrew not produce ? 

Four of the numbers on the left are moved into the cells on the right so that the addition is correct.

Which number remains on the left ?

Nina used 36 identical cubes to build a fence of cubes around a square region. Part of her fence is shown in the picture. How many more cubes will Nina need in order to fill the reion inside her fence ?

Some square floors have been covered with white and grey tiles. Floors using 4 and 9 grey tiles are shown in the picture.

Each floor has a grey tile in every corner and all the tiles around a grey tile are white. How many white tiles are needed altogether for a floor using 25 grey tiles ? 

 You can choose any two triangles and overlap them as you want. Which of the following polygons cannot be the shape of the overlapping part ?

Barbara wrote “KAENGURUWETTBEWERB” on a blackboard. For same letters she used the same colour, for different letters different colours. How many different colours did she use  ?

Three bars of chocolate cost 6 dollars. How much does one bar of chocolate cost ?

A blackboard has a total unfolded length of 6m. The middle section is 3m long. How long is the section labelled with a question mark ?

On the 24^th February 2012 Grandfather’a chicks hatched. There are 29 days in February in 2012. How old are the chicks today on 15^th March 2012 ?

Which pattern will you get if you join the centres of each of the neighbouring hexagons ?