Đề thi Toán Kangaroo năm 2017 Cấp độ Minor, Khối 3-4

 Lietuvos Respublikos §svietimoir mokslo ministerija VU Matematikos ir informatikos fakultetas
19. George starts tennis training at 17:05. The journey from his house to the bus stop takes
 Keng©uros konkurso organizavimo komitetas VU Matematikos ir informatikos institutas
 5 minutes. The bus runs every 10 minutes from six in the morning. The bus journey
 Lietuvos matematikudraugija
 takes 15 minutes. It takes him 5 minutes to go from the bus stop to the court and 5
 minutes to change clothes in the locker room. At what time at the latest does he have
 to leave his house to arrive at the eld exactly on time? KANGAROO 2017
 A) B) C) D) E) Time allowed: 75 minutes Minor
 Calculators are not permitted 3--4 grades
20. On an electronic board the central square is lightened. After one minute
 lightened the squares having a common side with the central square, but this Questions for 3 points
 last one was switched out. After every next minute lightened the squares 1. John looks through the window. He sees half of the kangaroos
 having common sides with squares being lighted the previous minute, but in the park (see picture). How many kangaroos are there in the
 the last ones were switched out. How looked like the board after 4 minutes park?
 and 30 seconds? A) 12 B) 14 C) 16 D) 18 E) 20
 2. What number is hidden under the ower? — 6 8 — 10
 10
 A) B) C) D) E) A) 12 B) 18 C) 20 D) 24 E) 28
21. Four brothers have eaten 11 cookies in total. Each of them has eaten at least one cookie
 and no two of them have eaten the same number of cookies. Three of them have eaten 3. Which of the pieces AE will t between the two pieces
 9 cookies in total and one of them has eaten exactly 3 cookies. How many cookies have 6 7 4 9 6 4 3 9
 on the right so that the squares of them touching each · · · ·
 been eaten by the boy who has eaten the largest number of cookies? other had equal results of multiplication?
 A) 3 B) 4 C) 5 D) 6 E) 7
22. Ten bags each contain a dierent number of candies from to . Five boys each took 3 6 2 4 3 6 8 3 6 6 2 4 6 6 8 3 6 3 4 8
 1 10 A) · · B) · · C) · · D) · · E) · ·
 two bags of candies. Alex got 5 candies, Bob got 7 candies, Charles got 9, and Dennis
 got 15. How many candies did Eric get?
 A) 9 B) 11 C) 13 D) 17 E) 19 4. Dolly accidentally broke the mirror into pieces. How many pieces have exactly
 three sides?
23. Kate has 4 owers, one with 6 petals, one A) 2 B) 3 C) 4 D) 5 E) 6
 with 7 petals, one with 8 petals and one with
 11 petals. Kate tears o one petal from three
 owers. She does this several times, choosing 5. The picture shows the front of the house of Ann. The rear of her house has
 any three owers each time. She stops when she can no longer tear one petal from three three windows and no door. What view does Ann see when she looks at the
 owers. What is the smallest number of petals which can remain? rear of her house?
 A) 1 B) 2 C) 3 D) 4 E) 5
24. Kelly, Richard and Jacelyn are old classmates. During a resent gathering, the told each
 other about their occupation. Among them, there is a police, a clerk and an engineer.
 Below are the hints about their occupations: Kelly is older than police. Richard's age
 is not the same as the clerk. The clerk is younger than Jacelyn. What of the following A) B) C) D) E)
 statement is true? 6. Balloons are sold in packets of 5, 10 and 25. Marius buys exactly 70 balloons. What is
 A) Jacelyn is a police B) Richard is an engineer C) Kelly is not a clerk the smallest number of packets he could buy?
 D) Jacelyn is an engineer E) Richard is not a police A) 3 B) 4 C) 5 D) 6 E) 7

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