Math Olympiad 5( Week 25 Quiz 5) 1. If 5 days before yesterday was Tuesday, what day of the week will it be 100 days from today? 2. There are 6 math exams during the semester. Eric has taken 5 exams so far and the scores were 91, 81, 84, 94, and 82. What will Eric need to score on his final math exam to have an average score of 88 for the semester? 3. The product of 5 consecutive odd numbers must be divisible by: 4. What is the least common multiple (LCM) of 3, 4, 5, and 6? 5. If 12x is deducted by 15y, and the difference is then multiplied by , which of the following is the result? 6. Three consecutive multiples of 20 have a sum of 540? What is the middle number among the three numbers? 7. Which of the following is the correct representation of phrase "9 more than 8 times x"? 8. Alice, Eric, and Richard are riding a bike around a 1000 yards circular track. They start at the same place, same time and in the same direction, but each rides at different speed with Alice at 748 yards per minute, Eric at 798 yards per minute, and Richard at 848 yards per minute. What is the least number of minutes will it take for all three to be together again? 9. 4, 8, 12,... are multiples of 4. How many multiples of 4 are there between 6 and 167? 10. A number is greater than 4. When the number is divided either by 9 or 11, the remainder is 4. What is the smallest possible even number that has the above property? 11. Eric's average score for all the courses except math is 85. If the math score is added in, the average score is 86. His math score is 91. How many courses in total did he take? 12. Kevin has a certain amount of money to spend on 3 types of gifts, and their prices are $7, $8, and $9 each respectively. If he spends all the money on any single type of gifts, there will all be $2 left. The amount of money Kevin has is more than $9. At least, how much (in dollars) money does Kevin have? 13. Richard took 4 math tests with an average grade of 84. If the lowest grade was dropped, his average on the other 3 tests would be 87. What is the lowest grade in the set of 4 grades? 14. Kevin is 6 years younger than David. Eric is one third as old as David is now. If Eric will be 15 years old 10 years from now, how old is Kevin now? 15. 72 apples are to be divided into equal piles. There are more than 1 but less than 72 apples in each pile. At most how many ways could the apples be divided? |