Math Olympiad 5( Week 25 Quiz 5) 1. If 4 days before yesterday was Monday, what day of the week will it be 40 days from today? 2. There are 6 math exams during the semester. Eric has taken 5 exams so far and the scores were 80, 92, 92, 94, and 98. What will Eric need to score on his final math exam to have an average score of 89 for the semester? 3. The product of 5 consecutive even numbers must be divisible by: 4. What is the least common multiple (LCM) of 2, 3, 4, 5, and 6? 5. If 12x is deducted by 9y, and the difference is then multiplied by , which of the following is the result? 6. Three consecutive multiples of 30 have a sum of 630? What is the largest number among the three numbers? 7. Which of the following is the correct representation of phrase "6 more than 9 times x"? 8. Susan, Eric, and Richard are riding a bike around a 1500 yards circular track. They start at the same place, same time and in the same direction, but each rides at different speed with Susan at 781 yards per minute, Eric at 831 yards per minute, and Richard at 881 yards per minute. What is the least number of minutes will it take for all three to be together again? 9. 3, 6, 9,... are multiples of 3. How many multiples of 3 are there between 4 and 133? 10. A number is greater than 2. When the number is divided either by 5 or 7, the remainder is 2. What is the smallest possible even number that has the above property? 11. Andy's average score for all the courses except math is 86. If the math score is added in, the average score is 87. His math score is 91. How many courses in total did he take? 12. Michael has a certain amount of money to spend on 3 types of gifts, and their prices are $4, $5, and $6 each respectively. If he spends all the money on any single type of gifts, there will all be $3 left. The amount of money Michael has is more than $6. At least, how much (in dollars) money does Michael have? 13. David took 7 math tests with an average grade of 81. If the lowest grade was dropped, his average on the other 6 tests would be 84. What is the lowest grade in the set of 7 grades? 14. Ed is 3 years younger than Ben. Josh is half as old as Ben is now. If Josh will be 13 years old 5 years from now, how old is Ed now? 15. 24 apples are to be divided into equal piles. There are more than 1 but less than 24 apples in each pile. At most how many ways could the apples be divided? |