Math Olympiad 5( Week 25 Quiz 5) 1. If 4 days before yesterday was Sunday, what day of the week will it be 70 days from today? 2. There are 6 math exams during the semester. Joe has taken 5 exams so far and the scores were 91, 90, 89, 87, and 86. What will Joe need to score on his final math exam to have an average score of 86 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, 6, and 7? 5. If 9x is deducted by 6y, and the difference is then multiplied by , which of the following is the result? 6. Three consecutive multiples of 35 have a sum of 840? What is the middle number among the three numbers? 7. Which of the following is the correct representation of phrase "10 more than 9 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 722 yards per minute, Eric at 772 yards per minute, and Richard at 822 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 7 and 93? 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. Jackson'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. Eric has a certain amount of money to spend on 3 types of gifts, and their prices are $5, $6, and $7 each respectively. If he spends all the money on any single type of gifts, there will all be $3 left. The amount of money Eric has is more than $7. At least, how much (in dollars) money does Eric have? 13. Nick took 7 math tests with an average grade of 86. If the lowest grade was dropped, his average on the other 6 tests would be 87. What is the lowest grade in the set of 7 grades? 14. Josh is 4 years younger than Rene. Jay is one fourth as old as Rene is now. If Jay will be 12 years old 7 years from now, how old is Josh 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? |