Đề thi Toán Kangaroo năm 2019 Cấp độ Benjamin, Khối 5-6

 Lietuvos Respublikos §svietimo ir mokslo ministerija Vilniaus universitetas
24. Each of the following pictures shows the net of a cube. Only one of the resulting cubes
 Keng©uros konkurso organizavimo komitetas Lietuvos matematikudraugija
 has a closed line on it. Which one?
 A) B) C) D) E) KANGAROO 2019
25. A family has four children. Their names are Ka, La, Ma and Na in some order. Their
 mother once told:
 out of La, Ma and Na there is one girl and two boys,
 out of Ka, La and Ma there are one boy and two boys, Time allowed: 75 minutes Benjamin
 out of Ka and La there is one boy and one girl. Calculators are not permitted 5--6 grades
 Which ones are the boys? Questions for 3 points
 A) La and Na B) Ka and La C) Ka and Ma D) Ka and Na E) Ma and Na
 1. 2 0 1 9 + 2 + 0 + 1 + 9 =
 · · ·
26. Emily took seles with her 8 cousins. Each of the 8 cousins is in two or three pictures. A) 2031 B) 2019 C) 0 D) 100 E) 12
 In each picture there are exactly 5 cousins. How many seles did Emily take?
 A) 3 B) 4 C) 5 D) 6 E) 7 2. The Mayan people wrote numbers with dots and bars. A dot is written for 1
 and a bar for 5. A number 13 is written on the right. How did Mayans write
27. Jette and Willi are throwing balls at two identical pyramids of 15 cans. Jette knocks 17?
 down 6 cans with a total of 25 points. Willi knocks down 4 cans. How many points does
 A) B) C) D) E)
 Willi score?
 3. A digital clock shows the time . What will the clock show the next time it uses
 the same digits?
 A) B) C) D) E)
 After Jette's throw After Willi's throw 4. Carrie has started to draw a cat. She nishes her drawing by adding more color.
 A) 22 B) 23 C) 25 D) 26 E) 28 Which of the gures below can be her drawing?
28. There are 350 passengers traveling by the train of 11 wagons. In every 3 consecutive
 wagons there are precisely 99 passengers. How many passengers are traveling in the
 A) B) C) D) E)
 sixth wagon?
 A) 53 B) 46 C) 39 D) 33 E) 32 5. The sum of the dots on opposite faces of an ordinary dice is equal to 7. Which of the
 following shows the ordinary one?
29. Linas builds a 4 4 4 cube using 32 white and 32 black 1 1 1 cubes. He arranges
 the cubes so that× as× much of the surface of his large cube is white.× × What fraction of the
 surface of his cube is white?
 A) B) C) D) E)
 A) 1 B) 1 C) 2 D) 3 E) 3
 4 2 3 4 8
 6. There are 14 fth graders and 12 sixth graders who attend a school choir. If half of the
30. Zev has two machines: one exchanges 1 white token into 3 red tokens, while the other children go on a trip, at least how many of them are fth graders?
 exchanges 1 red token into 2 white ones. At the beginning Zev had 3 white tokens. After A) 5 B) 4 C) 3 D) 2 E) 1
 exactly 9 exchanges, he has 16 tokens. How many of those are red?
 A) 9 B) 7 C) 4 D) 12 E) 5 7. Laura wants to colour a 2 2 square of the gure shown on the right.
 How many possibilities are× there?
c 2019 Keng©uros konkurso organizavimo komitetas A) 5 B) 6 C) 7 D) 8 E) 9