Đề thi Toán Kangaroo năm 2013 Cấp độ Minor, Khối 3-4

 Lietuvos Respublikos ˇsvietimoir mokslo ministerija VU Matematikos ir informatikos fakultetas
19. In December Tosha-the-cat slept for exactly 3 weeks. How many minutes did he stay
 Keng¯uros organizavimo komitetas Leidykla TEV VU Matematikos ir informatikos institutas
 awake during this month?
 A) (31 − 7) · 3 · 24 · 60 B) (31 − 7 · 3) · 24 · 60 C) (30 − 7 · 3) · 24 · 60
 D) (31 − 7) · 24 · 60 E) (31 − 7 · 3) · 24 · 60 · 60
 KANGAROO 2013
20. Basil has several domino tiles, as shown in the figure. He
 wants to arrange them in a line according to the following
 domino rule: in any two neighboring tiles, the neighboring
 squares must have the same number of points. What is the Time allowed: 75 min Minor
 largest number of tiles he can arrange in this way? Calculators are not permitted 3--4 grades
 A) 3 B) 4 C) 5 D) 6 E) 7
 Questions for 3 points
21. Cristi has to sell 7 glass bells that vary in price: 1 euro, 2 euro, 3 euro, 4 euro, 5 euro, 1. In which figure is the number of black kangaroos bigger than the number of white
 6 euro, 7 euro. In how many ways can Cristi divide all the glass bells in three packages kangaroes?
 so that all the packages have the same price?
 A) 1 B) 2 C) 3 D) 4 E) Such a division is not possible
22. Peter bought a carpet 36 dm wide and 60 dm long. The A) B) C) D) E)
 carpet has a pattern of small squares containing either a
 sun or a moon, as can be seen in the figure. You can see 2. Aline writes a correct calculation. Then she covers two digits which are the same with
 that along the width there are 9 squares. When the carpet stickers:
 is fully unrolled, how many moons can be seen?
 A) 68 B) 67 C) 65 D) 63 E) 60
23. Baby Roo wrote down several numbers using only the digits 0 and 1. The sum of these Which digit is under the stickers?
 numbers is 2013. It turned out that it is impossible to get the same sum with a smaller
 number of summands of this kind. How many numbers were written by Baby Roo?
 A) 2 B) 3 C) 4 D) 5 E) 204 A) B) C) D) E)
 3. Father gives 5 apples to each of his three children. Ana gives 3 apples to Sanja and then
24. Beatrice has a lot of pieces like the grey one in the picture. At least how Sanja gives half of all her apples to Mihael. How many apples does Mihael have now?
 many of these grey pieces do you need to make a grey square? A) 4 B) 5 C) 7 D) 8 E) 9
 A) 3 B) 4 C) 5 D) 6 E) 9
 4. How many triangles can be seen in the picture?
 A) 8 B) 9 C) 10 D) 11 E) 12
 5. 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

c 2013 Keng¯uros konkurso organizavimo komitetas D) 3 brothers and 2 sisters E) 2 brothers and 4 sisters
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