MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 3)
2:50 AM
Muhammad Yusuf
, Posted in
1. How many positive two-digit integers are factors of both 100 and 150?
2. When writing the integers from 1 through 97, how many times is the digit 3 written?
3. In January, a wrestler weighed 180 pounds and in March he weighed 171 pounds. What percent of his weight in January had the wrestler lost by March?
4. What are the coordinates of the point on the line 5x − 9y = 42 such that the x and y coordinates are the additive inverses of each other? Express your answer as an ordered pair.
5. If 2x > 415 and x is a positive integer, what is the least possible value of x?
6. What is the area, in square inches, of the square inscribed in a circle of radius 10 inches?
7. What is the probability of getting a sum of 3 when three standard dice are rolled? Express your answer as a common fraction.
8. If N is a three-digit integer with units digit 4, what is the probability that N is divisible by 6? Express your answer as a common fraction.
9. What is the value of m for which (M + 5) : (M-5) = (M + 5):(M – 5)?
10. What is the sum of the prime factors of 91?
11. Roberto has four pairs of trousers, seven shirts and three jackets. How many different outfits can he put together if an outfit consists of a pair of trousers, a shirt and a jacket?
12. The mean of one set of five numbers is 13, and the mean of a separate set of six numbers is 24. What is the mean of the set of all eleven numbers?
13. What is the value of x in the equation 94 + 94 + 94 = 3x?
14. Two complementary angles are in a ratio of 3:2. What is the measure, in degrees, of the smaller angle?
15. In a certain dormitory, there are 72 rooms for 131 students. If each room is occupied by either one or two students, how many rooms are occupied by just one student?
0 Response to "MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 3)"
Post a Comment