A regular octagon is folded three times down the middle as shown, until a triangle is formed. Then the right most corner is cut away. Which of the following shapes is formed when the paper is unfolded ?

Both the figures on the right were made out of the same 5 pieces. The rectangle has dimensions 5cm x 10cm. The other pieces are quarter circles with 2 different sized radius. What is the difference between he perimeters of the two figures ?

 A few fields of a 4 x 4 grid were painted red. The numbers in the bottom row and right column give the number of fields coloured red. The red was then rubbed away. Which of the following grids could be a solution ?

A square piece of paper of area 64cm² is folded twice as show in the picture. What is the area of the two grey sections ?

12 children were at a birthday party. The children were 6, 7, 8, 9 and 10 years old. Four of them were 6 years old. There were more 8 year olds than any other age group. What is the average age of the children ?

Ann and Bill participate in a math reality show. Each of them is secretly given one positive integer. They know that their numbers are two consecutive numbers ( for instance, Ann’s number is 7, Bill’s number is 6 ). They know only their own number, and they have to guess the number of the other person. Ann and Bill have the following discussion:

+ Ann to Bill: “ I do not know your number”

+ Bill to Ann: “I do not know your number”

+ Ann to Bill: “ Now I know your number! It is a factor of 20”

What is Ann’s number ?

In which of the figures is exactly one half of the area shaded ? 

My umbrella has the letters KANGAROO printed on the top, as shown in the picture on the right. Which of the five smaller pictures does not show my umbrella ?

There are ten ducks. Five of these ducks each lay an egg every day. They other five ducks each lay an egg every second day. How many eggs in total do the ten ducks lay in a period of 10 days ? 

The figure shows a board where each small square has an area of 4 cm2. What is the length of the thick black line ? 

The two pictures of the balanced scales show the birds Rita and Dita.

How much does Dita weigh ?

Which of the following fractions is smaller than 2 ?

Each plant in John’s garden has either 5 leaves only, or 2 leaves and 1 flower. In total, the plants have 6 flowers and 32 leaves. How many plants are there ?

Alva has 4 paper strips of the same length. She glues 2 of them together with a 10 cm overlap, and gets a strip 50 cm long.

With the other two paper strips, she wants to make a 56 cm long strip. How long should the overlap be ?

Nine flowers are planted in a row, same distance apart between any two adjacent flowers. The distance between the first and the third flower is 60 cm. What is the distance between the first and the last flower ? 

Lisa has 90 marbles. Anna has 10 more marbles than Lisa but 50 less marbles than Olle. How many marbles do they have together ?

In the picture, the rectangle ABCD is constructed from four identical rectangles. If the length of the segment BC is 1cm, what is the length of the segment AB ?

Lucy and her mother were both born in January. On March 29, 2015, Lucy adds the year of her birth, the year of her mother’s birth, her age, and her mother’s age. What is the result ?

A rectangle has an area of 12cm². Its sides are of integer lengths in centimeters. Which of the following values could be the perimeter of the rectangle ?

The number 100 is multiplied either by 2 or by 3, then the result is inreased either by 1 or by 2, and then the new result is divided either by 3 or by 4. If the final result is a natural number, what is this final result ? 

Each of the 9 line segments in the figure is to be coloured either blue, green or red. The three sides of each triangle are to have three different colours. Three of the line segments have already been coloured, as shown. What colour can the line segment marked with x have ?

The figure shows an addition where the numbers are coded by letters. Equal letters represent equal digits, and different letters represent different digits. Which digit does the letter X represent ?  

Carla wants to fold a cube from a paper net. My mistake she drew 7 squares on her sheet instead of 6 squares. Which square(s) can she remove so that the figure remains connected and Carla can fold a cube from it ?

In a four – digit number $\overline{ABCD}$  the digits A, B, C, D are in increasing order from left to right. What is the largest possible difference $\overline{BD}-\overline{AC}$ of the two digit numbers $\overline{BD}$  and $\overline{AC}$  ?

Tom used 6 squares with sides of length 1 to form the shape in the piture. What is the perimeter of the shape ?