Grandmother gave Vivian and Mike some apples and pears. In total they had 25 pieces of fruit. On the way home Vivian ate 1 apple and 3 pears, Mike ate 3 apples and 2 pears. At home they noted that there were exactly the same number of apples and pears in the basket. How many pears had grandmother given them ?

Which three puzzle pieces do you need to complete the large puzzle ?

The natural numbers are to be painted. 1 is red, 2 is blue, 3 is green, 4 is red, 5 is blue, 6 is green and so on. Which colour(s), can the sum of a red and a blue number have ?

Lisa built a large cube out of 8 smaller ones. The small cubes have the same letter on each of their faces ( A, B, C or D ). Two cubes with a common face always have a different letter on them. Which letter is on the cube that cannot be seen in the picture ?

The figure on the right has a perimeter of 42cm. The figure was made from eight equally sized squares. What is the area of the figure ?

The upper coin rolls without sliding around the fixed lower coin. Which position will the two coins have afterwards ?

The numbers 1 to 7 should be written in the small circles so that the sum of the numbers along each line is the same. Which number should be written in the uppermost circle on the triangle ?

A rectangle piece of paper is 108mm long and 84mm wide. After making a straight cut you have a square and a leftover piece. You do the same with the leftover piece and so on until the leftover piece itself is square. What is the side length of the last square ?

Four cogs are connected to each other as shown in the picture. The first has 30 teeth, the second 15, the third 60 and the fourth 10. How many turns will the last cog make for each full turn of the first cog ?

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 ?