A) 80 B) 160 C) 320 D) 640 E) 1280

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1 1. Paul s garden has the shape of a rectangle, 15 metres long and 7 metres wide. How many metres will Paul walk if wants to go around his garden? A) 37 m B) 22 m C) 30 m D) 44 m E) 105 m 2. Adam and his three friends would like to build big cubes from the small ones. How many small cubes do they need if everybody wants to build 20 big cubes like the one you can see in the diagram? a a a A) 80 B) 160 C) 320 D) 640 E) info@pangeaverseny.org 1

2 3. We would like to ride the bycicle tour around lake Balaton. We leave from and arrive at Keszthely. The route is 206 km long. How many kilometres do we still have to ride if we started the tour two days ago and rode 33 kilometres each day? A) 66 km B) 33 km C) 173 km D) 134 km E) 140 km 4. In a board game you have to roll a red and a white dice. You can roll again if the sum of the numbers on the top of the two dice is nine. How many ways are there to roll nine? A) 6 B) 5 C) 4 D) 3 E) 2 info@pangeaverseny.org 2

3 5. Luca practiced drawing images of objects reflected about a line. She drew the following four diagrams. How many of her diagrams are correct? A) 0 B) 1 C) 2 D) 3 E) 4 info@pangeaverseny.org 3

4 6. In the spring, it is fun to fly a kite. At this moment it is only a dream. Juli constructed the diagram below during her IT lesson. The diagram is not drawn to scale. How many area units does the kite measure in the diagram if the area unit is the area of one dotted square in the grid? A) 32 B) 16 C) 20 D) 22 E) 24 info@pangeaverseny.org 4

5 7. There are some marbles in a black sack. The marbles all have the same size and they feel identical to the touch. Ten of them are rainbow-coloured, 6 have green leaf pattern and another 6 are decorated with gold stars. At least how many balls should we pull from the bag at the same time so that there certainly will be a rainbow-coloured among them? A) 3 B) 17 C) 10 D) 12 E ) 13 info@pangeaverseny.org 5

6 8. Anna and Kata asked their mothers to buy some missing school supplies for them. They each made a list of what they needed. Anna asked for a new pencil-sharpener, 3 notebooks, 1 eraser and 2 pens. Kata s list had 4 notebooks, 1 pen, 2 pencils and 2 rulers. Anna s mother bought everything in the nearby shop SCRIBBLE. Kata s mother bought the supplies at the supermarket shop ALL IN ONE. The following table shows the prices of the school supplies in the two shops. pen sharpener notebook eraser ruler pencil SCRIBBLE 140 Ft 350 Ft 80 Ft 95 Ft 160 Ft 75 Ft ALL IN ONE 155 Ft 290 Ft 75 Ft 105 Ft 180 Ft 80 Ft Whose mother paid less, and how much less, for their daughter s school supplies? A) Anna s mother paid 10 forints less B) Kata s mother paid 10 forints less C) Both mothers paid the same D) Anna s mother paid 15 forints less E) Kata s mother paid 15 forints less info@pangeaverseny.org 6

7 9. Which number is not a solution of the following open sentence? CCCLXXIV < CDXXVI A) 374 B) 375 C) 416 D) 425 E) The result of the following subtraction is, unfortunately, wrong. However, if we switch one of the digits of the first number with one of the digits of the other then the result will be correct. Which two digits do we have to switch? A) 6 and 3 B) 6 and 4 C) 7 and 3 D) 7 and 4 E) there is no solution info@pangeaverseny.org 7

8 11. There are 25 students in a class where each student attends a club. 16 of them go to swimming club and 13 of them learn to cook. How many students are there in the class who attend both clubs? A) 4 B) 3 C) 9 D) 12 E) We have to transport an elephant, a giraffe and a zebra from one zoo to another. The truck driver would like to know how much the animals weigh together. We can put only two animals on the scale at a time. Together, the elephant and the giraffe weigh 3493 kg, the elephant and the zebra weigh 3136 kg, the zebra and the giraffe weigh 1129 kg. How much do the three animals weigh together? A) 3779 kg B) 3789 kg C) 3869 kg D) 3879 kg E) 3889 kg info@pangeaverseny.org 8

9 13. At the greengrocer s the vegetables and the fruits were put on a shelf in the morning. The maximum load the shelf can hold is 100 kg. There are 350 dkg of bananas, 150 dkg of grapes, 20 kg of apples, 7000 g of onions, 80 dkg of tomatoes, 4 kg of oranges, 220 dkg of lemons, 550 dkg of tangerines already on the shelf. How much potatoes can still be placed on the shelf? A) 5 kg B) 555 dkg C) 5550 dkg D) 5550 g E) 4450 dkg 14. Peti s mother remembers that width of their dining table: it is 1 m wide. She, however, cannot recall its length so she asks Peti to measure it. Peti only found his small school ruler which is 18 cm long. He told his mother that the table was 6 cm longer than eight times the length of his ruler. Which tablecloth should Peti s mother buy if she wants the tablecloth to cover the table and hang down a bit on each side? A) 150 cm X 90 cm B) 160 cm x 110 cm C) 150 cm x 100 cm D) 170 cm x 80 cm E) 150 cm x 110 cm info@pangeaverseny.org 9

10 15. Dorka is preparing for Mother s Day. It takes her a quarter of an hour to go to the florist where she spends 11 minutes. She walks 20 minutes to get home. Then she is making cakes. She prepares the ingredients for the coconut balls which takes her 8 minutes. She makes the dough and forms the balls in half an hour. She would like to recite a poem to her mother and it takes her 40 minutes to learn it. Then she sets the table, placing the flowers, the plates and the cocunut balls. These activities altogether take 6 minutes. She brings the CD player and puts a disc in it. This takes 3 minutes. Her younger brother, Milan is preparing for the Mother s Day, too. It takes him 47 minutes to learn a poem and he is drawing a wonderful picture to her mother which takes him one and a half hours. Who prepared more for this nice event? A) Dorka prepared 7 minutes more. B) Milan prepared 7 minutes more. C) Both children prepared for exactly the same time. D) Dorka prepared 4 minutes more. E) Milan prepared 4 minutes more. info@pangeaverseny.org 10