Math Olympiad 5( Week 36 Quiz 7) 2. Consecutive numbers are whole numbers that follow in order such as 2, 3, 4, 5 and 6. There are seven consecutive numbers whose sum is 161. What is the smallest number among the consecutive numbers? 3. If 8 × = 10, what is the value of 250 × ? 4. If 2m = 8, what is the value of 6m − 11? 5. How many two-digit numbers are there in which the tens digit is greater than the ones digit? 6. Consecutive numbers are whole numbers that follow in order such as 2, 3, 4, 5 and 6. There are eight consecutive numbers whose sum is 308. What is the largest number among the consecutive numbers? 7. A pile of coins is consists of nickels, dimes and quarters. The ratio of nickels, dimes and quarters is 4 : 2 : 1 . The pile of coins has a total value of $3.90. How many dimes were there in the change? 8. Find the sum of the counting numbers from 76 to 109 inclusively. In other words, if S = 76 + 77 + 78 + ... + 107 + 108 + 109, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7174? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $2.60 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Steve has 93 coins with a value of $10.90. The number of dimes is 5 times the number of nickels. The number of quarters is 2 more than the number of nickels. How many quarters does he have? 13. The numbers 2, 4, 6, and 8 are a set of four consecutive even numbers. Suppose the sum of 5 consecutive even numbers is 180. What is the smallest number among these 5 numbers? 14. Curtis has a total of 13 coins that consists nickels and quarters with a total value of $2.25. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 60124 repeat after the decimal point endlessly. 0.60124 = 0.601246012460124... Which digit will fall in the 819th place to the right of the decimal point? |