Math Olympiad 5( Week 15 Quiz 3) 1. Andy agreed to paint a room for $180 and a new bike. After he painted a half of the room, he got $45 and the bike. What is the value (in dollars) of the bike? 2. Alice rides a bicycle to school at the speed of 3 miles per hour (MPH). When returning, she rides at 7 MPH for the same route. What is the average speed in MPH for the round trip? 3. A man made a 5-hour up-hill trip at 30 mph (miles per hour). On the return down-hill trip, he traveled at 45 mph. What was the his average speed in mph for the entire trip? 4. In the final chemistry exam of the semester, 112 of the 140 students received less than 92%. What percentage of students received 92% or greater? 5. When a whole number is divided by 8, the quotient is 17 and the remainder is 7. What is the whole number? 6. If M is divisible by 5 and N is divisible by 8, then their product MN MUST be divisible by each of the following EXCEPT 7. A and B are positive integers with A > B. When A is divided by 5, the remainder is 4. When B is divided by 5, the remainder is 2. What is the remainder when A − B is divided by 5? 8. S and T are positive integers. When S is divided by 7, the remainder is 5. When T is divided by 7, the remainder is 4. What is the remainder when the product ST is divided by 7? 9. How many integers from -100 to 100, inclusive, are divisible by 4? 10. A man painted of a house in 2 days. If he continues to work at the same rate, how much more time (in days) will he need to finish painting the rest of the house? 11. Rene is a truck driver. His truck fuel tank was only full when he started to pump gas into the fuel tank. After 124 gallons of gas were pumped into the tank, the fuel tank was full. What is the capacity (in gallons) of the fuel tank? 12. If the result of increasing M by 700% of M is N, then M is what percentage of N? 13. After a 14% price hike, a popular MP3 is now priced at $131.10. What was he original price of the MP3? 14. A store offers a 5% discount in the weekend. If price of an item is $28.50 after discount in the weekend, what is the price of the item in the weekdays? 15. Some roses are put into vases. If each vase holds 5 roses, 4 roses are left. If each vase holds 6 roses, 7 more roses are needed. How many vases are there? |