2007 袋鼠数学 E-Junior 真题 答案 详解

英文真题

Kangaroo 2007 - Junior Max Time: 120 min Junior: Class (9-10) 3-Point-Problems Q1: Asif, Usman and Sami have 30 balls together. If Usman gives 5 to Sami, Sami gives 4 to Asif and Asif gives 2 to Usman, then the boys will have the same number of balls. How may balls have Asif at first? A) 15 B) 13 C) 11 D) 9 E) 8 Q2: In the figure 5 faces of the dice are visible. What is the sum of the points on the remaining 7 invisible faces of the dice? A) 12 B) 15 C) 27 D) 7 E) 36 Q3: In a lucky draw of prize tickets it is announced “The winning tickets are those, which have at least 5-digits in their number and at most three of their digits are larger than 2.” If the 5-tickets drawn have numbers 1022, 22222, 102334, 213343 and 3042531. How many of them were wining ones. A) 1 B) 2 C) 3 D) 4 E) 5 Q4: In a triangle ABC, D is the midpoint of AB, E is the midpoint of DB, F is the midpoint of BC. If area of triangle ABC is 96 square units, then the area of △AEF is, A) 16 B) 24 C) 32 D) 36 E) 48 Q5: Meera Jamal has put 2007 balls in three bags A, B and C in such a way that each bag contains exactly the same number of balls. If she moves 2/3 of the balls from bag ‘A’ to bag ‘C’ then the ratio between the number of balls in bag A and C will be. A) 2:3 B) 1:5 C) 1:2 D) 1:3 E) 2:5 Q6: A certain committee has 32 numbers. How many numbers will it have in three year’s time, if the number of members increases each year compared to the previous one by 50%? A) 182 B) 128 C) 108 D) 96 E) 80