Question 1

The rectangular mirror was broken. Which of the following pieces is missing in the given figure below?

---

Question 2

When Pinocchio lies, his nose gets 6 cm longer. When he says the truth, his nose gets 2cm shorter. When his nose was 9 cm long, then he said three lies and two true sentences. How long was Pinocchio's nose afterwards?

 

(A) 14 cm (B) 15 cm (C) 19 cm (D) 23 cm (E) 31 cm

---

Question 3

In a shop you can buy oranges in boxes of three different sizes: with 5 oranges, with 9 oranges or with 10 oranges. Pedro wants to buy exactly 48 oranges. What is the least quantity of boxes he can buy?

 

(A) 8 (B) 7 (C) 6 (D) 5 (E) 4

---

Question 4

Ann walks in the direction of the arrow. At every intersection of streets she turns either to the right or to the left. First she goes to the right, then to the left then again to the left, then to the right then to the left, and finally again to the left. Where did Ann stopped?

---

Question 5

Four Schoolmates Andy, Betty, Cathie and Dannie were born in the same year. Their birthdays were on February 20th, April 12th, May 12th and May 25th not necessarily in this order. Betty and Andy were born in the same month. Andy and Cathie were born in the same day of different months. Who of these schoolmates is the oldest?

 

(A) Andy (B) Betty (C) Cathie (D) Dannie (E) impossible to determine

---

Question 6

30 children from Adventure Park took part in competitions. If 15 of them took part in the "moving bridge" contest, and 20 of them went down by ?slide?, how many children from Adventure Park took part in both events?

 

(A) 25 (B) 15 (C) 30 (D) 10 (E) 5

---

Question 7

Which of the following pieces fits to the piece in the following picture such that together they form a rectangle?

---

Question 8

The number 35 has the property that it is divisible by the digit in the unit position, because 35 divided by 5 is 7. The number 38 does not have this property. How many numbers greater than 21 and smaller than 30 have this property?

 

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

---

Question 9

Joining the mid points of the sides of a triangle we obtain a smaller triangle. We repeat this one more time in the smaller triangle to obtain smallest triangles. How many triangles of the same size as the smallest triangle fit in the original drawing?

(A) 5 (B) 8 (C) 10 (D) 16 (E) 32

---

Question 10

After the First of January 2013, how many years will pass before the following event happens for the first time: the product of digits in the notation of the year is greater than the sum of these digits?

 

(A) 87 (B) 98 (C) 101 (D) 102 (E) 103

---

Question 11

In December Tosha-the-cat has slept exactly 3 weeks. How many minutes did he stay awake during this month?

 

(A) (31 - 7) x 3 x 24 x 60 (B) (31 - 7 x 3) x 24 x 60 (C) (30 - 7 x 3) x 24 x 60 (D) (31 - 7) x 24 x 60 (E) (31 - 7 x 3) x 24 x 60 x 60

---

Question 12

Basil has several domino tiles drawn in the figure. He wants to arrange them in a line according to the following "domino rule": in any two neighbouring tiles, the neighbouring squares must have the same number of points. What is the largest number of tiles he can arrange in this way?

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

---

Question 13

Cristi has to sell 10 glass bells that vary in price: 1 euro, 2 euro, 3 euro, 4 euro, 5 euro, 6 euro, 7 euro, 8 euro, 9 euro, 10 euro. In how many ways can Cristi divide all the glass bells in three packages so that all the packages have the same price?

 

(A) 1 (B) 2 (C) 3 (D) 4 (E) Such a division is not possible

---

Question 14

Peter bought a carpet 36 dm wide and 60 dm long. The carpet has a pattern of small squares containing either a sun or a moon, as can be seen in the figure. You can see that along the width there are 9 squares. When the carpet is fully unrolled, how many moons can be seen?

(A) 68 (B) 67 (C) 65 (D) 63 (E) 60

---

Question 15

Baby Roo wrote down several numbers using only the digits 0 and 1. The sum of these numbers is 2013. It turned out that it is impossible to get the same sum with a less amount of such numbers. How many numbers were written by Baby Roo?

 

(A) 2 (B) 3 (C) 4 (D) 5 (E) 204

---

Question 16

Beatrice has a lot of pieces like the grey one in the picture. At least how many of these grey pieces does she need to make a grey square?

(A) 3 (B) 4 (C) 6 (D) 8 (E) 16

 

---

Question 17

Mr. Brown has painted flowers on the store window (see picture). How does these flowers look like from the opposite(outside) side of the window?

---

Question 18

Some candies were in a bowl. Sally took half of the candies. Then Tom took half of the candies left in the bowl. After that Clara took half of the remaining candies. In the end there were 6 candies in the bowl. How many candies were in the bowl at the beginning?

 

(A) 12 (B) 18 (C) 20 (D) 24 (E) 48

---

Question 19

Which tile must be added in the picture at the position so that the white area is as big as the black area?

---

Question 20

Paula shoots arrows at the following target. When she misses, she obtains zero points. Paula shoots two arrows and adds the number of points. Which of the following sums cannot be her score?

(A) 60 (B) 70 (C) 80 (D) 90 (E) 100

---

Question 21

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 22

Rabbit Borya likes cabbages and carrots very much. In a day he eats either 9 carrots, or 2 cabbages, or 1 cabbage and 4 carrots. During one week Borya has eaten 30 carrots. How many cabbages has he eaten during this week?

 

(A) 6 (B) 7 (C) 8 (D) 9 (E) 10

---

Question 23

The solid in the picture was made by sticking eight equal cubes together. How does this solid look from above?

---

Question 24

How many dots are there in this picture?

(A) 180 (B) 181 (C) 182 (D) 183 (E) 265

---

Question 25

On Kangaroo planet each kangyear has 20 kangmonths and each kangmonth has 6 kangweeks. How many kangweeks are there in one quarter of a kangyear?

 

(A) 9 (B) 30 (C) 60 (D) 90 (E) 120

---

Question 26

Seven children are standing in a circle. No two boys are standing next to each other. No three girls are standing next to each other. Which of these is true for the number of girls standing in the circle?

(A) only 3 is possible

(B) 3 and 4 are possible

(C) only 4 is possible

(D) 4 and 5 are possible

(E) only 5 is possible

---

Question 27

Eve arranged cards in a line as it is shown in the figure below. At each move Eve is allowed to interchange any two cards. What is the smallest number of moves Eve needs to get the word KANGAROO?

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

---

Question 28

A sequence of triangles of diamonds is made. The first three stages are shown. In each stage a line of diamonds is added. In the bottom line the outer diamonds are white. All other diamonds in the triangle are black. How many black diamonds does the figure

have in stage 6?

(A) 19 (B) 21 (C) 26 (D) 28 (E) 34

---

Question 29

Kangaroo Hamish bought toys and gave the shop-assistant 150 Leis. He received 20 Leis back. Then he changed his mind and exchanged one of the toys for another. He got back an additional 5 Leis. What toys did Hamish bought at the end?

(A) the carriage and the plane

(B) the carriage and the bus

(C) the carriage and the tram

(D) the motorcycle and the tram

(E) the bus, the motorcycle and the tram

---

Question 30

Write each of the numbers 0, 1, 2, 3, 4, 5, 6 in the squares to make the addition correct. Which digit will be in the grey square?

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

---

Question 31

What is the largest number of small squares which can be shaded so that no square made of four shaded small squares appears on the figure?

(A) 18 (B) 19 (C) 20 (D) 21 (E) 22

---

Question 32

Nick has written each of the numbers from 1 to 9 in the cells of the table. Only four of these numbers can be seen in the figure. Nick has noticed that for the number 5 the sum of the numbers in the neighbouring cells equals 13 (neighbouring cells are

cells sharing sides). He noticed the same applies for the number 6. Which number has Nick written in the shaded cell (the middle one)?

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