Đề thi Toán Kangaroo năm 2018 Cấp độ Benjamin, Khối 5-6

 Lietuvos Respublikos §svietimo ir mokslo ministerija Vilniaus universitetas
22. We have ve balls A, B, C, D and E. One of the balls weighs 30 g, one weighs 80 g and
 Keng©uros konkurso organizavimo komitetas Lietuvos matematikudraugija
 each of the remaining three balls weighs 50 g. Which ball weighs 30 g?
 E
 A B A C A D C B
 C D E B KANGAROO 2018
 A) A B) B C) C D) D E) E
23. If A, B and C are distinct digits, then the largest possible 6-digit number written using Time allowed: 75 minutes Benjamin
 3 digits A, 2 digits B, and 1 digit C cannot be equal to Calculators are not permitted 5--6 grades
 A) B) C) D) E)
 AAABBC CAAABB BBAAAC AAABCB AAACBB Questions for 3 points
24. The sum of the ages of Kate and her mother is 36, and the sum of the ages of her mother 1. The drawing shows 3 ying arrows and 9 xed
 and her granny is 81. How old was her granny when Kate was born? balloons. When an arrow hits a balloon, it bursts,
 A) 28 B) 38 C) 45 D) 53 E) 56 and the arrow ies further in the same direction.
 How many balloons will not be hit by arrows?
25. Nick wants to arrange the numbers 2, 3, 4, 5, 6, 7, 8, 9 and 10 into several groups such
 A) 3 B) 2 C) 6 D) 5 E) 4
 that the sum of the numbers in each group is the same. What is the largest number of
 groups he can get?
 A) 2 B) 3 C) 4 D) 6 E) Other answer 2. What is the largest result of the following actions?
 A) 2+0+1+8 B) 2 · 0 · 1 · 8 C) (2 + 0) · (1 + 8) D) 20 · 18 E) 2 · 0 + 1 · 8
26. Peter saw an 8 cm wide wooden shelf into 9 parts. One piece was a
 square, the rest were rectangles. Then he put all the pieces together
 3. Diana rst got 14 points with two arrows on
 as shown in the picture. How long was the shelf?
 the target. The second time she got 16 points.
 A) 150 cm B) 168 cm C) 196 cm D) 200 cm E) 232 cm
 How many points did she get the third time?
 A) 17 B) 18 C) 19 D) 20 E) 22
27. Write 0 or 1 in each cell of the 5 × 5 table such that each 2 × 2 square of the
 table contains exactly 3 equal numbers. What is the largest possible sum of 14 16 ?
 all the numbers in the table? 4. A garden is divided into identical squares. Two snails move ABCD E
 A) 22 B) 21 C) 20 D) 19 E) 18 along the perimeter of the garden starting from the point
 but in dierent directions. The rst snail moves at the
28. 14 people are seated at a round table. Each person is either a liar or tells the truth. S
 speed of 1 meter per hour (1 m/h) and the second one at
 Everybody says: Both my neighbours are liars. What is the maximum number of liars 1 m/h 2 m/h
 2 meters per hour (2 m/h). At what point will the two snails meet? S
 at the table? A) B) C) D) E)
 A) 7 B) 8 C) 9 D) 10 E) 14 A B C D E
 5. Alice subtracted two 2-digit numbers. Then she painted two
29. There are eight domino tiles on the table (see the picture). One half cells. What is the sum of the two digits in the painted cells? − 2 = 2 53
 of one tile is covered. The 8 tiles can be arranged into a 4 × 4 square, A) 8 B) 9 C) 12 D) 13 E) 15
 so that the number of dots in each row and column is the same. How
 many dots are on the covered part? 6. A star is made of four equilateral triangles and a square. The perimeter
 A) 1 B) 2 C) 3 D) 4 E) 5 of the square is 36 cm. What is the perimeter of the star?
30. Write the numbers 3, 4, 5, 6, 7, 8 and 9 in the seven circles to obtain equal A) 144 cm B) 120 cm C) 104 cm D) 90 cm E) 72 cm
 sums along each of the three lines. What is the sum of all possible numbers
 replacing the question mark? ? 7. The second day of a month falls on Thursday. What day of the week is the 25th of that
 A) 3 B) 6 C) 9 D) 12 E) 18 month?

c 2018 Keng©uros konkurso organizavimo komitetas A) Monday B) Wednesday C) Thursday D) Saturday E) Sunday