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Level 5-6 - Thales Foundation Cyprus

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Math Kangaroo 2005 <strong>Level</strong> of grades 5 - 69. Tom picked a natural number and multiplied it by 3. Which number CANNOT be the result ofthis multiplication?A) 987 B) 444 C) 204 D) 105 E) 10310. How many hours is half of a third part of a quarter of 24 hours?A) 31B) 21C) 1 D) 2 E) 3Problems 4 points each11. Eva cut a paper napkin into 10 pieces. She then also cut one of the pieces into 10 pieces.She repeated this process two more times. Into how many pieces did she cut the napkin?A) 27 B) 30 C) 37 D) 40 E) 4712. Mowgli usually walks from home to the beach, and returns on an elephant. It takes him 40minutes altogether. One day he traveled on the elephant from home to the beach and back,which took him 32 minutes. How much time would he need to travel the same distance on foot?A) 24 min B) 42 min C) 46 min D) 48 min E) 50 min13. A rectangular garden with an area of 30 m 2 was divided into threerectangular sections of flowers, vegetables, and strawberries (some of thedimensions are shown in the diagram). What is the area of the vegetablesection, if the flower part has an area of 10 m 2 ?A) 4 m 2 B) 6 m 2 C) 8 m 2 D) 10 m 2 E) 12 m 2flowersvegetablesstrawberries14. Grandpa suggested dividing all peanuts between the family members in the following way:one person would get 5 kilos, two people would get 4 kilos each, four people would get 2 kiloseach, two people would get 1.5 kilo each, and one person would not get any nuts. Grandmasuggested dividing the peanuts equally among all of the family members. For how many peoplewould the division suggested by Grandma be better than the one suggested by Grandpa?A) 3 B) 4 C) 5 D) 6 E) 715. How many two digit numbers are there, which can be expressed only by using different odddigits?A) 15 B) 20 C) 25 D) 30 E) 50www.mathkangaroo.com

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