MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 1)
2:43 AM
Muhammad Yusuf
, Posted in
1. What is the units digit when 54 is multiplied out?
2. What is the quotient when 3 is divided by its reciprocal?
3. The complement of angle M is 10 degrees. What is the measure, in degrees, of angle M?
4. Stephen has four blue socks and six gray socks in a drawer. What is the least number of socks he must select, at random, to guarantee having at least two socks of the same color?
5. In the land of Ink, the money system is unique. One Trinket is equal to 4 Blinkets, and 3 Blinkets are equal to 7 Drinkets. In Trinkets, what is the value of 56 Drinkets?
6. An integer is tripled, then divided by 2 and then reduced by 1. If the result is 11, what was the original integer?
7. The acute angles of a particular isosceles trapezoid each measure 40 degrees. What is the measure, in degrees, of each obtuse angle in the trapezoid?
8. How many distinct prime factors does 56 have?
9. The quotient of two positive integers is 5/2 and their product is 160. What is the value of the larger of the two integers?
10. During a year when Thanksgiving is on Thursday, November 23, on what day of the week does December 23 occur?
11. A particular convex pentagon has two congruent, acute angles. The measure of each of the other interior angles is equal to the sum of the measures of the two acute angles. What is the common measure of the large angles, in degrees?
12. Define the operation ☼ as K ☼ L = (K + L)(K − L) for all integers K and L. What is the value of 6 ☼ 5?
13. Margaret started a stamp collection. She collected 8 stamps the first day. Each subsequent day she collected 8 more stamps than she had collected the previous day. If she collected stamps for 5 consecutive days, what was the average number of stamps collected per day?
14. A 2-cup mixture is 1/3 flour and 2/3 cornmeal. If 1 cup of flour is added to the 2-cup mixture, what fraction of the new 3-cup mixture is flour? Express your answer as a common fraction.
0 Response to "MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 1)"
Post a Comment