2010 袋鼠数学 E-Junior 真题 答案 详解

英文真题

International Kangaroo Mathematics Contest 2010 Junior Level: Class (9 & 10) Max Time: 3 Hours 3-point problems Q1) Which of these is the result when 20102010 is divided by 2010? A) 11 B) 101 C) 1001 D) 10001 E) not an integer number Q2) Ivan gained 85% of all points in a test; Tibor gained 90% of all points in the same test. However, he gained only one point more than Ivan did. What was the maximum number of points in this test? A) 5 B) 17 C) 18 D) 20 E) 25 Q3) If both rows have the same sum, what is the value of *? 1 2 3 4 5 6 7 8 9 10 2010 11 12 13 14 15 16 17 18 19 20 * A) 1010 B) 1020 C) 1910 D) 1990 E) 2020 Q4) The solid in the diagram picture is formed of four identical cubes. Surface of each of the cubes is 24 cm². What is the surface of the solid? A) 80 cm² B) 64 cm² C) 40 cm² D) 32 cm² E) 24 cm² Q5) Every birthday, Roza receives as many flowers as her age in years. She dries and keeps the flowers and now has 120 flowers. How old is she? A) 10 B) 12 C) 14 D) 15 E) 20 Q6) A paper strip was folded three times in half and then completely unfolded such that you can still see the 7 folds going up or down. Which of the following views from the side cannot come out this way? A B C D E Q7) 6 points are marked at nodes of a squared sheet of paper. What geometrical figure cannot have all its vertices among these points? A) square B) parallelogram but not rhombus C) trapezoid D) obtuse triangle E) all the figures A – D can