Đề thi Toán Kangaroo năm 2016 Cấp độ Minor, Khối 3-4

 Lietuvos Respublikos §svietimoir mokslo ministerija VU Matematikos ir informatikos fakultetas
19. Magic trees grow in a magic garden. Each tree contains
 Keng©uros organizavimo komitetas VU Matematikos ir informatikos institutas
 either 6 pears and 3 apples or 8 pears and 4 apples.
 There are 25 apples in the garden. How many pears are
 there in the garden?
 A) 35 B) 40 C) 45 D) 50 E) 56 KANGAROO 2016
20. My dogs have 18 more legs than noses. How many dogs do I have?
 A) 4 B) 5 C) 6 D) 8 E) 9
 Time allowed: 75 minutes Minor
21. Karin has building blocks of three dierent types: , , . Blocks of the same type Calculators are not permitted 3--4 grades
 have the same weight, and blocks of dierent types have dierent weight. Karin placed
 3 boxes with building blocks on a table in order of their weight (the rightmost box is Questions for 3 points
 the heaviest; see pic.). 1. Amy, Bert, Carl, Doris and Ernst each rolled two dice and added the number of dots.
 Which block has the smallest weight and which one has the biggest weight?
 A) , B) , C) , D) , E) , Amy Bert Carl Doris Ernst
 Who rolled the largest total?
22. Rachel adds seven numbers and gets 2016. One of the numbers in the addition is 201. A) Amy B) Bert C) Carl D) Doris E) Ernst
 She replaces the number 201 with 102. What answer does she get?
 A) 1815 B) 1914 C) 1917 D) 2115 E) 2118
 2. Kanga is 1 year and 3 months old. In how many months will Kanga be 3 years old?
 A) 15 B) 17 C) 19 D) 20 E) 21
23. Malte has built a bar of 27 bricks.
 3. Find x.
 He breaks the bar into two bars such that one of them is twice the length of the other.
 Then he takes one of the new bars and breaks it the same way. He continues (if it is 17+3
 possible) in this way. Which of the following bars will he not be able to get at some + x
 moment? 20 16
 −
 A) B) C) D) E) A) 24 B) 28 C) 36 D) 56 E) 80
24. Five sparrows sit on a branch, as shown
 in the gure. Each sparrow chirps the 4. What does Pipo (see the picture) see when he looks at himself in the
 same number of times as the number mirror?
 of sparrows it sees. For example, David
 chirps three times. Then, one sparrow turns to look in the opposite direction. Again,
 each of the sparrows chirps the same number of times as the number of sparrows it sees.
 This time, the total number of chirps is more than the rst time. Which of the sparrows
 has turned to look in the opposite direction?
 A) Angel B) Bertha C) Charlie D) David E) Eglio
 A) B) C) D) E)

c 2016 Keng©uros konkurso organizavimo komitetas