2007 袋鼠数学 D-Cadet 真题 答案 详解

英文真题

INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2007 Level Cadet: Class (7 & 8) Max Time: 1 Hour & 35 Min 3-Point-Problems Q1. \frac{2007}{2+0+0+7} = A) 1003 B) 223 C) 213 D) 123 Q2. Rose plants were planted in a line on both sides of the path. The distance between each plant was 2 m. What is the maximum number of plants that were planted if the path is 20 m long? A) 22 B) 20 C) 12 D) 11 Q3. The robot starts walking on the table from the place A2 in the direction of arrow, as shown on the picture. It can go always forward. If it meets with difficulties (black boxes and the boundary), it turns right. The robot will stop in case, if he can’t go forward after turning right. On which place will it stop A) B2 B) A1 C) E1 D) nowhere Q4. What is the sum of the points on the invisible faces of the dice? A) 15 B) 12 C) 7 D) 27 Q5. If the sum of two positive integers is 11, then the maximum of their product will be A) 24 B) 28 C) 30 D) 32 Q6. A small square is inscribed in a big one as shown in the figure. Find the area of the small square A) 16 B) 28 C) 34 D) 36