Đề thi Toán Kangaroo năm 2014 Cấp độ Minor, Khối 3-4

 Lietuvos Respublikos ˇsvietimoir mokslo ministerija VU Matematikos ir informatikos fakultetas
 Keng¯uros organizavimo komitetas Leidykla TEV VU Matematikos ir informatikos institutas
20. A square was cut into 4 parts as shown in the picture. Which of the
 following shapes cannot be made with these 4 parts?
 KANGAROO 2014
 A) B) C) D) E)
 Time allowed: 75 minutes Minor
 Calculators are not permitted 3--4 grades
21. Kangaroo Hamish bought three of the toys shown below and gave the shop-assistant
 Questions for 3 points
 200 kangcoins (200 c). He received 18 kangcoins back. Then he changed his mind and
 exchanged one of the toys for another. He got back additional 25 kangcoins. What toys 1. Which drawing is the central part of the picture with the star?
 did Hamish leave the store with?
 Ball Doll Teddy bear Puzzle Chess
 40 c 73 c 52 c 48 c 57 c A) B) C) D) E)
 A) Ball, doll and teddy bear B) Ball, teddy bear and puzzle 2. Jacky wants to insert the digit 3 somewhere in the number 2014. Where should she
 C) Doll, teddy bear and chess D) Teddy bear, puzzle and chess insert the digit 3 if she wants her five-digit number to be as small as possible?
 E) Ball, puzzle and chess A) In front of 2014 B) Between the 2 and the 0 C) Between the 0 and the 1
 D) Between the 1 and the 4 E) Behind 2014
22. Write each of the numbers 0, 1, 2, 3, 4, 5, 6 in the squares + = 3. The central cell of the square was removed. We cut it into equal pieces.
 to make the addition correct. Which digit will be in the grey square? Which piece is not possible to get?
 A) 2 B) 3 C) 4 D) 5 E) 6
 A) B) C) D) E)
23. What is the largest number of small squares which can be shaded so
 that no square made of four shaded small squares appears in the 4. When Koko the koala does not sleep, he eats 50 grams of leaves per hour. Yesterday, he
 figure? slept 13 hours. How many grams of leaves did he eat yesterday?
 A) 18 B) 19 C) 20 D) 21 E) 22 A) 550 B) 130 C) 650 D) 50 E) 450
 5. Maria subtracts and gets as results the numbers from zero to five. 2-2 6-5
24. Nick has written each of the numbers from 1 to 9 in the cells of the 3 × 3 She connects the dots, starting at the dot with the result 0 and
 table. Only four of these numbers can be seen in the figure. Nick has noticed ending at the dot with the result 5. Which figure does she get?
 that for the number 5 the sum of the numbers in the neighbouring cells 8-6 11-8
 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? 13-9 17-12
 A) 5 B) 6 C) 7 D) 8 E) 9 A) B) C) D) E)
 6. Adam built fewer sandcastles than Martin but more than Susan. Lucy built more
 sandcastles than Adam and more than Martin. Dana built more sandcastles than Martin
 but fewer than Lucy. Who of them built the most sandcastles?

c 2014 Keng¯uros konkurso organizavimo komitetas A) Martin B) Adam C) Susan D) Dana E) Lucy