MATHCOUNTS 2009 : CHAPTER CAOUNTDOWN (PART 2)
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Muhammad Yusuf
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1. What is the value of 8(−6) + 8(10) − 8(4)?
2. The combined number of chickens and rabbits on a farm is 100. There are a total of 260 feet on these animals. How many chickens are there?
3. Angie’s class has 2 girls for every 3 boys. If there are 20 students in the class, how many girls are in Angie’s class?
4. What is the area, in square units, of a rectangle with side lengths 15 and 16 units?
5. Ivory successfully shot 7 free throws in 15 free-throw attempts. How many additional successful free throws, without a miss, must she make in order to attain a success rate of 75%?
6. Jeremiah is riding in a car that is traveling 60 miles per hour. At this rate, how many minutes will it take him to travel 20 miles?
7. How many unique diagonals can be drawn in a five-sided convex polygon?
8. What is the units digit of 313 + 133?
9. What is the smallest integer length, in units, for the side of a square so that the numerical value of its area is greater than the numerical value of its perimeter?
10. If 3x = 8y and 5y = 15z, what is the value of x/z? Express your answer in simplest form.
11. The owners of a house that is assessed at $120,000 pay $3,000 in taxes. At the same rate, what is the tax, in dollars, for a house assessed at $160,000?
12. How many positive factors of 72 are perfect cubes?
13. A sequence starts with the term 2222. Each succeeding term is found by adding 1010 to the previous term. What is the sum of the sixth and seventh terms?
14. A cone and a cylinder are of equal height and have congruent bases. The volume of the cylinder is 30 cubic inches. What is the volume of the cone, in cubic inches?
15. Five workers paint four houses in six days. Working at the same rate as these workers, how many workers are needed to paint 12 houses in three days?
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