2006 袋鼠数学 E-Junior 真题 答案 详解

英文真题

Kangaroo 2006 — Junior Max Time: 120 min Junior: Class (9-10) 3-Point-Problems 1. What is halfway between 2006 and 6002? A) 3998 B) 4000 C) 4002 D) 4004 E) 4006 2. How many four-digit numbers (whose four digits are distinct) are divisible by 2006? A) 1 B) 2 C) 3 D) 4 E) 5 3. What is the least 10-digit number that can be obtained by putting together the following six numbers one after another: 309, 41, 5, 7, 68, and 2? A) 1 234 567 890 B) 1 023 456 789 C) 3 097 568 241 D) 2 309 415 687 E) 2 309 415 678 4. How many times between 00:00 and 23:59 does an electronic watch show all the four digits 2, 0, 0 and 6 in any order? A) 1 B) 2 C) 3 D) 4 E) 5 5. A flag consists of three stripes of equal width, which are divided into two, three and four equal parts, respectively. What fraction of the area of the flag is colored grey? A) ( \frac{1}{2} ) B) ( \frac{2}{3} ) C) ( \frac{3}{5} ) D) ( \frac{4}{7} ) E) ( \frac{5}{9} ) 6. My Grandma's watch gains one minute every hour. My Grandpa's watch loses half a minute every hour. When I left their house I synchronized their watches and told them I would return when the difference between the times on their watches is exactly one hour. How long will it be before I return? A) 12 hours B) 14 hours and a half C) 40 hours D) 60 hours E) 90 hours 7. Ali says that 25% of his books are novels, and ( \frac{1}{9} ) of them are poetry. Given that he has between 50 and 100 books, how many books does he have? A) 50 B) 56 C) 64 D) 72 E) 93 8. One packet of Chocofruit candies costs 10 Rs. There is a coupon inside every packet. For 3 coupons you get another packet of Chocofruit candies. How many packets of Chocofruit candies can you get for 150 Rs? A) 15 B) 17 C) 20 D) 21 E) 22