2010 袋鼠数学 D-Cadet 真题 答案 详解

英文真题

International Kangaroo Mathematics Contest 2010 Cadet Level: Class (7 & 8) Max Time: 2 Hours 3-point problems Q1) How much is 12 + 23 + 34 + 45 + 56 + 67 + 78 + 89? A) 396 B) 404 C) 405 D) other answer. Q2) How many axes of symmetry does the figure have? A) 1 B) 2 C) 4 D) infinitely many Q3) Toy kangaroos are packed for shipment. Each of them is packed in a box which is a cube. Exactly eight boxes are packed tightly in a bigger cubic cardboard box. How many kangaroo boxes are on the bottom floor of this big cube? A) 1 B) 2 C) 3 D) 4 Q4) The perimeter of the figure is equal to A) 3a + 4b B) 3a + 8b C) 6a + 6b D) 6a + 8b Q5) Ehsan draws the six vertices of a regular hexagon and then connects some of the 6 points with lines to obtain a geometric figure. Then this figure is surely not A) trapezium B) right angled triangle C) square D) obtuse angled triangle Q6) If we type seven consecutive integer numbers and the sum of the smallest three numbers is 33, which is the sum of the largest three numbers? A) 39 B) 42 C) 48 D) 45 Q7) After stocking up firewood, the worker summed that from the certain number of logs he made 72 logs besides 53 cuts were made. He saws only one log at a time. How many logs were at the beginning? A) 18 B) 19 C) 20 D) 21