Math Olympiad 5( Week 51 Quiz 10) 1. Jackson wants to rent a car for a round trip with a total of 190 miles. There are four plans available as below. Which is the best choice for Jackson? 2. A shipping company charges $1.55 for a package that weighs under 4 pounds. It charges 47 cents for each additional pound over 4 pounds. The shipping for a package costs $13.77. How many pounds is the package? 3. One loaf of bread and 6 rolls cost $4.50. At the same prices, two loaves of bread and 3 rolls cost $3.60. How much does a roll of bread cost in dollars? 4. 4 pencils and 6 pens cost 186 cents, and 6 pencils and 4 pens cost 164 cents. How much does a pen cost (in cents)? 5. The probability of finding a bulb with some kind of defect in a batch of improperly produced bulbs is . Which of the following could NOT be the number of bulbs in the batch? 6. Hillary went to a store and spent half of her money plus $8 more. She went to a second store and spent half of her remaining money plus $8 more. She then had $8 left. How many dollars did she have when she went to the first store? 7. Express the following sum as a simple fraction in lowest terms: + + + + ... + + . 8. In a math countdown contest with 72 questions, each question can only be answered by one player whether the player answers it correctly or not. 12 points were given for each correct answer and 6 points were deducted for each incorrect ansewer. Emily is always able to answer two questions correctly out of every three questions. How many questions will she need to answer in order to make sure that she wins the countdown contest? 10. Students A, B, C, and D played each other in a chess tournament. Every game ended with one beating the other. Student A beat D. Students A, B, and C won the same number of game(s). How many game(s) did student C win? 11. Which of the following is larger than ? 12. 5 notebooks and 6 pencils cost $11.71, while 5 pencils and 6 notebooks cost $11.94. What is the cost of one notebook and one pencil? 13. A train needs 138 seconds to cross (from entering to completely exiting the bridge) a 1600-meter long bridge. At the same speed, it needs 141 seconds to cross a 1648-meter long tunnel. What is the length of the train in meters? 14. Jay sells candy bars at a tailgate party to raise money for his school sports club. He bought them at 9 for $2, and sold them at 4 for $2. How many candy bars must be sold in order to raise $50? 15. The integers 1 through 6 appear on the six faces of a cube, one on each face. If three such cubes are rolled, what is the probability that the sum of the numbers on the top faces is 5? |