Question 1

Sophie arranges balls in boxes in a certain way as in the picture. How will the balls appear in the box with the question mark?

Question 2

Agatha, the hen, lays white and brown eggs. Lisa puts six eggs in the box below. Two brown eggs cannot touch each other. At most, how many brown eggs can Lisa put in the box?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 3

Katheryn is 1 year and 3 months old now. In how many months will Katheryn be 2 years old?

 

(A) 3 (B) 5 (C) 7 (D) 8 (E) 9

Question 4

Granny went out to the yard and called all the hens and her cat. All together with 20 legs ran to her. How many hens does granny have?

 

(A) 11 (B) 9 (C) 8 (D) 6 (E) 4

Question 5

In Baby Annie?s house, each room is connected to any neighboring room by a door (see the Picture). Baby Annie wants to get from the room A to the room B. What is the least number of doors that he will need to go through?

(A) 3 (B) 4 (C) 5 (D) 6 (E) 7

Question 6

There are twelve rooms in a building and each room has two windows and one light. Last evening, eighteen windows were lighted. In how many rooms was the light off?

 

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question 7

Mary is walking along the road and she reads only the letters located on her right side. Moving from point 1 to point 2, what is the word she will get?

(A) KNAO (B) KNGO (C) KNR (D) AGRO (E) KAO

Question 8

The sum of John's and Paul's age is equal to 12. What will be the sum of their ages in 4 years?

 

(A) 16 (B) 17 (C) 18 (D) 19 (E) 20

Question 9

Which of the following pictures cannot be made by using figures like ?

Question 10

Which tile matches the empty middle pattern in the picture?

Question 11

Amy used six equal small squares to build the figure. What is the least number of equal small squares she should add to the picture in order to obtain a larger square?

(A) 6 (B) 8 (C) 9 (D) 10 (E) 12

Question 12

Five sparrows sat on a wire as shown in the picture. Some of them looked to their left, others looked to their right. Each sparrow chirped only once to each bird it saw on its side. For example, third sparrow chirped two times. In total, how many times did they chirp?

(A) 6 (B) 8 (C) 9 (D) 10 (E) 12

Question 13

Which pattern can we make using all five cards given below?

Question 14

In the picture you see 5 ladybirds. Each one sits on its flower. Their places are defined as follows: the difference of the dots on their wings is the number of the leaves and the sum of the dots on their wings is the number of the petals. Which of the following flowers has no ladybird?

Question 15

On each of six faces of a cube there is one of the following six symbols: . On each face there is a different symbol. In the picture we can see this cube shown in two different positions. Which symbol is opposite the ?

Question 16

The numbers 1, 5, 8, 9, 10, 12 and 15 are distributed into groups with one or more numbers. The sum of the numbers in each group is the same. What is the largest number of groups?

 

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question 1

When the ant goes from home following these arrows with the number of squares to for steps:

It comes to the ladybird. Which animal would it come to, if she goes from home following arrows?

Question 2

The kangaroo is inside how many circles?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 3

A square was cut into 4 parts as shown in the picture. Which of the following shapes cannot be made with these 4 parts?

Question 4

Which design fits exactly on top of the one given?

Question 5

Walking from K to O along the lines pick up the letters KANGAROO in the correct order. What is the length of the shortest walk in meters?

(A) 16 m (B) 17 m (C) 18 m (D) 19 m (E) 20 m

Question 6

How many numbers are greater than 10 and less than or equal to 31, which can be written with digits 1, 2 or 3 only? You can repeat digits.

 

(A) 2 (B) 4 (C) 6 (D) 7 (E) 8

Question 7

Seven sticks lie on top of each other. Stick 2 is at the bottom. Stick 6 is at the top. Which stick is in the middle?

(A) 1 (B) 3 (C) 4 (D) 5 (E) 7

Question 8

How many frogs did the three pelicans catch all together?

Peli: I caught at least 2 frogs.

Kim: I caught more frogs than Peli did, and less than Kanu.

Kanu: I caught no more than 4 frogs.

(A) 1 (B) 2 (C) 4 (D) 9 (E) 12

Question 9

The chess board is damaged. How many black squares on the right side of the line are missing?

(A) 11 (B) 12 (C) 13 (D) 14 (E) 15

Question 10

Rabbit Venya eats cabbages and carrots. Each day he eats either 10 carrots, or 2 cabbages. Last week Venya ate 6 cabbages. How many carrots did he eat last week?

 

(A) 20 (B) 30 (C) 34 (D) 40 (E) 50

Question 11

What should you put in the empty square to get a correct diagram? Dot . symbolizes x.

(A) -38 (B) :8 (C) -45 (D) .6 (E) :6

 

Question 12

Put the digits 2, 3, 4 and 5 in the squares, without repetition, and calculate the sum to get the largest value. What is that value?

(A) 68 (B) 77 (C) 86 (D) 95 (E) 97

Question 13

The central cell of the square was removed. We cut it into equal pieces. Which piece is not possible to get?

Question 14

To get the product of 2 x 3 x 15, Bill has to press the keys of his calculator seven times, as shown below. Bill wants to multiply all numbers from 3 to 21, using his calculator. At least, how many times will he press the keys of his calculator?

(A) 19 (B) 31 (C) 37 (D) 50 (E) 60

Question 15

Fedya has 4 red cubes, 3 blue cubes, 2 green cubes and 1 yellow cube. He builds a tower(see the picture) in such a way that no two adjacent cubes have the same colour. What is the colour of the middle cube?

(A) red (B) blue (C) green

(D) yellow (E) impossible to determine

Question 16

Cogwheel A turns round completely once. At which place is now?

(A) a (B) b (C) c (D) d (E) e

Question 1

Jorge pairs his socks so that the numbers match. How many pairs can he make?

(A) 3 (B) 4 (C) 5 (D) 6 (E) 8

Question 2

Maya Bee was gathering pollen from all of the flowers that lie inside the rectangle, but are outside the triangle. From how many flowers did she collect pollen?

(A) 9 (B) 10 (C) 13 (D) 17 (E) 20

Question 3

Mr. Nelson brought 12 horse-shoes to his stable, which were used to hoof all of his horse's hooves. How many horses did he have?

(A) 12 (B) 6 (C) 4 (D) 3 (E) 2

Question 4

You have to close two of the five gates so that the mouse cannot reach the cheese. Which gates should you close?

(A) 1 , 2 (B) 2 , 3 (C) 3 , 4 (D) 3 , 5 (E) 4 , 5

Question 5

Patricia folds a sheet of paper twice and then cuts it, as shown. How many pieces of paper does she end up with?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question 6

At a fun fair Sam threw a ball into a pyramid of cans. After the pyramid is rebuilt, it looks a little different (see picture).

How many cans are now in a different spot of the pyramid?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question 7

A cat and a bowl of milk are in the opposite corners of the board. The cat can only move as shown by the arrows. In how many ways can the cat reach the milk?

(A) 2 (B) 3 (C) 4 (D) 5 (E) 6

Question 8

Four strips are woven into a pattern, as shown. What do you see when you look at it from the back side?

Question 9

Each of the shapes shown is made by gluing together four cubes of the same size. The shapes are to be painted. Which shape has the smallest surface to be painted?

Question 10

A floor is covered with identical rectangular tiles as shown. The shorter side of each tile is 1 m. What is the length of the side with the question mark?

(A) 6 m (B) 8 m (C) 10 m (D) 11 m (E) 12 m

Question 11

A train from KANG station to AROO station leaves at 6:00 in the morning and passes by other three stations on the way, without stopping. The numbers show the journey times between two stations, in hours. The train arrives at AROO station at 11:00 at night on the same day. What is the journey time between AROO station and the immediate previous one?

(A) 2 hours (B) 3 hours (C) 4 hours (D) 5 hours (E) 6 hours

Question 12

On a farm, there are only sheep and cows. The number of sheep is 8 more than the number of cows. The number of cows is half the number of sheep. How many animals are on the farm?

 

(A) 16 (B) 18 (C) 20 (D) 24 (E) 28

Question 13

A figure has been cut into these 3 pieces. Which figure could have been the one cut?

Question 14

There are 10 camels in a Zoo. The camels are either Bactrian (with two humps) or Dromedary (with one hump). In total there are 14 humps. Find the number of Bactrian camels in the Zoo.

 

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 15

Three squirrels Anni, Asia and Elli collected 7 nuts in total. Each collected a different number of nuts, but each collected at least one. Anni collected the least, Asia the most. How many nuts did Elli collect?

 

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 16

Tim and Tom built a sandcastle and decorated it with a flag. They stuck half of the flagpole into the highest point of the castle. The upper tip of the flagpole was 80 cm above the ground, the lower tip was 20 cm above the ground. How tall was the sandcastle?

(A) 40 cm (B) 45 cm (C) 50 cm (D) 55 cm (E) 60 cm

Question 17

Here are nine squares as shown. First, Ani replaced all the black squares with white ones. Next, Bob replaced all the grey squares with black ones. Finally, Chris replaced all the white squares with grey ones. What did they get at the end?

Question 18

Peter chose a square of four cells in the table so that the sum of the four numbers inside the square is greater than 63. Which of the following numbers must be in the chosen square?

(A) 14 (B) 15 (C) 17 (D) 18 (E) 20

Question 19

Amalia's machine converts one red token into three white tokens and one white token into two red tokens.

Amalia has three red tokens and one white token:

She uses the machine three times. What is the smallest number of tokens she can get at the end?

 

(A) 7 (B) 6 (C) 8 (D) 5 (E) 9

Question 1

When the ant goes from home following these arrows with the number of squares to for steps:

It comes to the ladybird. Which animal would it come to, if she goes from home following arrows?

Question 2

The kangaroo is inside how many circles?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 3

A square was cut into 4 parts as shown in the picture. Which of the following shapes cannot be made with these 4 parts?

Question 4

Which design fits exactly on top of the one given?

Question 5

Walking from K to O along the lines pick up the letters KANGAROO in the correct order. What is the length of the shortest walk in meters?

(A) 16 m (B) 17 m (C) 18 m (D) 19 m (E) 20 m

Question 6

How many numbers are greater than 10 and less than or equal to 31, which can be written with digits 1, 2 or 3 only? You can repeat digits.

 

(A) 2 (B) 4 (C) 6 (D) 7 (E) 8

Question 7

Seven sticks lie on top of each other. Stick 2 is at the bottom. Stick 6 is at the top. Which stick is in the middle?

(A) 1 (B) 3 (C) 4 (D) 5 (E) 7

Question 8

How many frogs did the three pelicans catch all together?

Peli: I caught at least 2 frogs.

Kim: I caught more frogs than Peli did, and less than Kanu.

Kanu: I caught no more than 4 frogs.

(A) 1 (B) 2 (C) 4 (D) 9 (E) 12

Question 9

The chess board is damaged. How many black squares on the right side of the line are missing?

(A) 11 (B) 12 (C) 13 (D) 14 (E) 15

Question 10

Rabbit Venya eats cabbages and carrots. Each day he eats either 10 carrots, or 2 cabbages. Last week Venya ate 6 cabbages. How many carrots did he eat last week?

 

(A) 20 (B) 30 (C) 34 (D) 40 (E) 50

Question 11

What should you put in the empty square to get a correct diagram? Dot . symbolizes x.

(A) -38 (B) :8 (C) -45 (D) .6 (E) :6

 

Question 12

Put the digits 2, 3, 4 and 5 in the squares, without repetition, and calculate the sum to get the largest value. What is that value?

(A) 68 (B) 77 (C) 86 (D) 95 (E) 97

Question 13

The central cell of the square was removed. We cut it into equal pieces. Which piece is not possible to get?

Question 14

To get the product of 2 x 3 x 15, Bill has to press the keys of his calculator seven times, as shown below. Bill wants to multiply all numbers from 3 to 21, using his calculator. At least, how many times will he press the keys of his calculator?

(A) 19 (B) 31 (C) 37 (D) 50 (E) 60

Question 15

Fedya has 4 red cubes, 3 blue cubes, 2 green cubes and 1 yellow cube. He builds a tower(see the picture) in such a way that no two adjacent cubes have the same colour. What is the colour of the middle cube?

(A) red (B) blue (C) green

(D) yellow (E) impossible to determine

Question 16

Cogwheel A turns round completely once. At which place is now?

(A) a (B) b (C) c (D) d (E) e

Question 1

Father gives 5 apples to each of his three children. Ana gives 3 apples to Sanja and Sanja gives half of her apples to Mihael. How many apples does Mihael have now?

 

(A) 4 (B) 5 (C) 7 (D) 8 (E) 9

Question 2

George has 2 cats of the same weight. George and his 2 cats weigh 36kg. What is the weight of one cat if George weights 30 kilograms (Kg)?

 

(A) 1 kilogram (B) 2 kilograms (C) 3 kilograms (D) 4 kilograms (E) 5 kilograms

Question 3

Which kind of square is shown most times?

(E) all equal

Question 4

How many carrots can the rabbit eat, walking freely in this maze?

(A) 7 (B) 8 (C) 9 (D) 15 (E) 16

Question 5

Cat and Mouse are moving to the right. When Mouse jumps 1 tile, Cat jumps 2 tiles at the same time. On which of the numbered tiles does the Cat catch the Mouse?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 6

Peter built a podium (as in the picture). How many cubes did he use?

(A) 12 (B) 18 (C) 19 (D) 22 (E) 24

Question 7

There are 5 children in a family. Kitty is 2 years older than Betty, but 2 years younger than Dannie. Teddy is 3 years older than Annie. Betty and Annie are twins. Who is the oldest from all?

 

(A) Annie (B) Betty (C) Dannie (D) Kitty (E) Teddy

Question 8

Which is the next?

Question 9

Kasia has 3 brothers and 3 sisters. How many brothers and how many sisters does her brother Mike have?

 

(A) 3 brothers and 3 sisters (B) 3 brothers and 4 sisters (C) 2 brothers and 3 sisters

(D) 3 brothers and 2 sisters (E) 2 brothers and 4 sisters

Question 10

In a game it is possible to make the following exchanges:

Adam has 6 pears. How many strawberries will Adam have, when he trades all his pears for strawberries only?

 

(A) 12 (B) 36 (C) 18 (D) 24 (E) 6

Question 11

Ann has a square sheet of paper:

She cuts these pieces: out of the larger sheet above, as many as possible.

How many pieces can she get?

 

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 12

Sophie makes a row of 10 houses with matchsticks. In the picture you can see the beginning. How many matchsticks does Sophie need for the 10 houses?

(A) 50 (B) 51 (C) 55 (D) 60 (E) 62

Question 13

A tile falls off the wall. Caroline has three extra tiles, see the pictures below.

Which tile(s) fit?

 

(A) a and c (B) a and b (C) b and c (D) only b (E) all three of them fit

Question 14

Ana has one coin of 5 cents, one coin of 10 cents, one coin of 20 cents and one coin of 50 cents. How many different values can she make with these coins?

 

(A) 4 (B) 7 (C) 10 (D) 15 (E) 20

Question 15

Ania removes a small cube from four corners, as shown.

Then she makes stamps using the new faces left on the cube. How many of the following stamps can Ania make?

(A) 1 (B) 2 (C) 3 (D) 4 (E) 5

Question 16

A square box is filled with two layers of identical square pieces of chocolate. Kirill has eaten all 20 pieces in the upper layer along the walls of the box. How many pieces of chocolate are left in the box?

 

(A) 16 (B) 30 (C) 50 (D) 52 (E) 70

Question 1

Father hangs the laundry outside on a clothesline. He wants to use as few pegs as possible. For 3 towels he needs 4 pegs, as shown. How many pegs does he need for 9 towels?

Α) 9 Β) 10 C) 12 D) 16 Ε) 18

Question 2

Today, Betty added her age and her sister?s age and obtained 10 as the sum. What will the sum of their ages be after one year?

 

Α) 5 Β) 10 C) 11 D) 12 Ε) 20

Question 3

The clock shows the time when Stephen leaves his school. School lunch starts 3 hours before school ends. At what time does lunch start?

Α) 1 Β) 2 C) 5 D) 11 Ε) 12

Question 4

A dragon has 3 heads. Every time a hero cuts off 1 head, 3 new heads emerge. The hero cuts 1 head off and then he cuts 1 off head again. How many heads does the dragon have now?

 

Α) 4 Β) 5 C) 6 D) 7 Ε) 8

Question 5

Stars, clovers, gifts and trees repeat regularly on a game board. Some juice was spilt on the board. As a result some pictures can?t be seen. How many stars were on the board before the juice was spilt?

Α) 3 Β) 6 C) 8 D) 9 Ε) 20

Question 6

Eve brings 12 candies, Alice 9 candies and Irene doesn?t bring any candy. They put all the candies together on a table and divide them equally among themselves. How many candies does each of the girls get?

 

Α) 3 Β) 7 C) 8 D) 9 Ε) 12

Question 7

Tim is looking at seven silk paintings on a wall. At the left he sees the dragon and on the right the butterfly. Which animal is on the left of the tiger and the lion, and on the right of the apricot?

Question 8

Winnie the Pooh bought 4 apple pies and Eeyore bought 6 cheese cakes. They paid the same and together they paid 24 euros. How many euros does 1 cheese cake cost?

 

Α) 2 Β) 4 C) 6 D) 10 Ε) 12

Question 9

Sparrow Jack jumps on a fence from one post to another. Each jump takes him 1 second. He makes 4 jumps ahead, then 1 jump back and again 4 jumps ahead and 1 back etc. In how many seconds does Jack get from START to FINISH?

Α) 10 Β) 11 C) 12 D) 13 Ε) 14

Question 10

Grandmother made 11 cookies. She decorated 5 cookies with raisins and then 7 cookies with nuts. At least how many cookies were decorated with both raisins and nuts?

 

Α) 1 Β) 2 C) 5 D) 7 Ε) 12

Question 11

At a school?s party Dan, Jack and Ben each received a bag with 10 candies. Each of the boys ate just 1 candy and gave 1 candy to the teacher. How many candies did they have left altogether?

 

Α) 8 Β) 10 C) 24 D) 27 Ε) 30

Question 12

What number is covered by the flower?

Α) 1 Β) 2 C) 3 D) 4 Ε) 5

Question 13

Ann has a lot of these tiles. How many of the following shapes can Ann make by gluing together two of these tiles?

Α) 0 Β) 1 C) 3 D) 4 Ε) 5

Question 14

In a box there are three boxes, each one of which contains three smaller boxes. How many boxes are there in total?

 

Α) 9 Β) 10 C) 12 D) 13 Ε) 15

Question 15

There are coins on the board. We want to have 2 coins in each column and 2 coins in each row. Hoe many coins need to be removed?

Α) 0 Β) 1 C) 2 D) 3 Ε) 4

Answer Keys

Question 1

At the end of the skiing season, there were 12 pairs of ski boots left at the store. How many skiboots counted one-by-one were left at the store?

 

A) 6 B) 12 C) 24 D) 4

Question 2

The picture below shows a puzzle with one piece missing. Which of the pieces below needs to be added to the puzzle in order for it to make a picture of a cat?

A)

B)

C)

D)

Question 3

Today is 3/12/2011. No item can be sold after the date shown below it. Which of the items cannot be sold?

A)

B)

C)

D)

Question 4

In 36 years, Mark?s grandmother will celebrate her 100th birthday. How old is Mark?s grand-mother now?

 

A) 74 B) 64 C) 66 D) 36

Question 5

Anne has several dogs and 4 cats. The number of her cats? ears is equal to the number of her dogs? paws. How many dogs does Anne have?

 

A) 8 B) 2 C) 4 D) 6

Question 6

To find her toy, Marie needs to follow the path which is marked by the following signs in this order: Which toy belongs to Marie?

A)

B)

C)

D)

Question 7

The picture below shows part of a train schedule. Right now, it?s 8:45. Mr. Smith will go from Chicago to Indianapolis on the next train. The trip will take 2 hours and 45 minutes. What time will Mr. Smith arrive in Indianapolis?

A) 11:30 B) 12:00 C) 11:15 D) 12:15

Question 8

Katie bought three identical pencils, two identical pens and two identical erasers, and paid $11.60. Hannah bought one pencil, two pens and two erasers, and she paid $8.40. How much does one pencil cost?

 

A) $1.20 B) $1.50 C) $1.60 D) $3.20

Question 9

Natalie folded a piece of paper in half and cut out a shape, as shown in the picture to the right. Which of the pictures below shows the piece of paper after it was unfolded?

A)

B)

C)

D)

Question 10

Mr. and Mrs. Taylor have three daughters. The youngest is 5 years old. The middle daughter is 4 years younger than the oldest daughter and 6 years older than the youngest daughter. How old is the Taylors? oldest daughter?

 

A) 10 B) 11 C) 9 D) 15

Question 11

The flowers in the flower shop were kept in three vases. There were 16 flowers in the first vase, 11 flowers in the second vase, and 17 flowers in the third vase. The owner decided to sell only bouquets of 5 flowers each. After selling some bouquets, she noticed that she did not have enough flowers to make another bouquet. How many flowers did she have left?

 

A) 1 B) 2 C) 3 D) 4

Question 12

Simon has two identical aquariums. There are 26 quarts of water in one, and 42 quarts of water in the other. How many quarts of water does Simon need to pour from the second aquarium into the first in order to have the same amount of water in both?

 

A) 6 B) 16 C) 10 D) 8

Question 13

Fido the Dog, Philemon the Cat and 4 monkeys together weigh 24 lbs. Fido and one monkey together weigh 11 lbs. Philemon and 2 monkeys together weigh 1 lb less than Fido and one monkey weigh together. Each of the monkeys weighs the same. How much does Philemon weigh?

 

A) 3 lbs B) 4 lbs C) 5 lbs D) 6 lbs

Question 14

Anita, Clara, Michael and Daniel had an apple eating contest. The person who ate the most apples won. Daniel ate more apples than Clara, and Michael ate fewer apples than Anita. We also know that Daniel did not win. Who ate the most apples?

 

A) Anita B) Clara C) Michael D) We cannot know.

Question 15

What number do we need to put in the first square in order to get 100 as the result after doing all the operations shown below?

A) 11 B) 9 C) 14 D) 12

Question 16

Paul and Jon were building using identical cube blocks. Paul made the building shown in Picture 1. Picture 2 shows Paul?s building as seen from above. Picture 3 shows Jon?s building as seen from above. (Note: The numbers in each square indicate how many blocks are placed one on top of another in that place.) Which of the answers shows Jon?s building?

A)

B)

C)

D)