Peter rides a bicycle in a park with bike paths as shown in the figure. He starts from the Start line in the direction of the arrow. At the first crossroad he turns right, then at the next crossroad he turns left, the right again, then left again and so on, in that order. What is the sign which he will not pass ?

There are 5 ladybugs shown in the figure. Two ladybugs are friends with each other if the numbers of spots that they have differ exactly by 1. On Kangaroo Day, each of the ladybugs sent one text message to each of their friends. How many text messages were sent ?

A retangle is divided into exactly 12 identical squares arranged in three rows. What is the perimeter of the rectangle, if the perimeter of one little square is 12 cm ?v

Luisa wanted to fold a cube from a piece of paper. By mistake she drew and cut 7 squares on her sheet instead of 6 squares

Which square must she remove so that the figure remains connected and Luisa can fold a cube from it ?

The numbers 2, 3, 5, 6 and 7 are written in the squares of the cross ( see the figure ) so that the sum of the numbers in the row is equal to the sum of the numbers in the column. Which of the numbers can be written in the centre square of the cross ?

To cook an elixir a witch needs five types of herbs exactly in the amounts weighed by the scales in the picture. The witch knows that she needs to put 5 grams of sage into the elixir. How many grams of hibiscus does she have to use ? ( The weight of the scales is irrelevant. )

Three ropes are laid down on the floor as shown.

You can make one big, complete loop by adding three other pieces of rope to these three. Which of the following sets of rope pieces shown below will make one pig loop ?

In the dotted sheet below, the distances, both horizontally and vertically, between every two neighbouring points are equal.

Ann drew all possible squares by connecting four of the points. How many different values can the area of the squares take ?

Tom drew a shark, a pig and a rhino and cut each of them in three pieces as shown.

Then he made different animals by combining one head, one middle part and on bottom.

How many different real or fantasy animals could Tom create in total ?

Tom added all even numbers from 2 to 100. Alice added all odd numbers from 1 to 99. The Joe subtracted Alice’s result from Tom’s result. What is Joe’s result ?

Paige has three transparent sheets with the following opaque black patterns

She can only rotate the sheets, she cannot flip them over. If Paige rotated the sheets and then put them one on top of the other, what would be the maximum possible number of black squares she could see if looking down on all the sheets ?

A bar consists of two grey cubes and one white cube glued together as shown in the figure

Which cube can be built from nine such bars ?

Amy, Bert, Carl, Doris and Ernst each rolled two dice and added the number of dots.

Who rolled the largest total ?

Peter is guessing Paul’s password. Peter knows that Paul used only digits for the last three places and that it has at most three capital letters. Which of the following choices could be Paul’s password ?

George and his father go to the circus. Their seat numbers 71 and 72. The sign below shows where the seats are

Which way should they go ?

Richard dries grapes to obtain raisins. He gets 1 kilogram of raisins out of 4 kilograms of grapes. How many kilograms of grapes will he need in order to obtain 4 kilograms of raisins ?

What does Pipo see when he looks at himself in the mirror ?

A rectangle is party hidden behind a curtain. What is the shape of the hidden part ?

Anna shared her apples among herself and five friends. If everyone got half an apple, how many apples did she share ?

Which of the following is true about this picture ?

Which tile fits in the middle such that lines of the same colour are joined together ?

( Turning the middle tile is allowed )

The sum of the digits of the number 2016 is equal to 9: 2 + 0 + 1 + 6 = 9. What is the next number that is greater than 2016 with the sum of its digits equal to 9 ?

The perimeter of the rectanggle ABCD is 30 cm. Lisa cut off three rectangles as shown

She found that the sum of the three perimeters is equal to 20 cm. What is the perimeter of the figure obtained after the cutting ?

Five children had each a paper square, a paper triangle and a paper circle. Every child put their own papers in a pile, as shown in the pictures. How many children put the triangle after the square ?

The mouse wants to escape from the maze.

How many different paths can the mouse take without passing through the same opening more than once ?