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 77. What is the smallest number among the consecutive numbers? 3. If 6 × = 3, what is the value of 90 × ? 4. If 3m = 5, what is the value of 6m − 9? 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 220. 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 2 : 1 : 2 . The pile of coins has a total value of $6.30. How many dimes were there in the change? 8. Find the sum of the counting numbers from 15 to 51 inclusively. In other words, if S = 15 + 16 + 17 + ... + 49 + 50 + 51, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7130? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $3.00 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Tom has 64 coins with a value of $8.50. The number of dimes is twice the number of nickels. The number of quarters is 4 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 290. What is the smallest number among these 5 numbers? 14. Ben has a total of 19 coins that consists nickels and quarters with a total value of $1.95. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 013456 repeat after the decimal point endlessly.
0.013456 = 0.013456013456013456...
Which digit will fall in the 823rd place to the right of the decimal point? |