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 385. What is the smallest number among the consecutive numbers? 3. If 9 × = 8, what is the value of 280 × ? 4. If 5m = 7, what is the value of 10m − 1? 5. How many two-digit numbers are there in which the tens digit is less 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 252. 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 : 3 : 2 . The pile of coins has a total value of $12.00. How many dimes were there in the change? 8. Find the sum of the counting numbers from 58 to 84 inclusively. In other words, if S = 58 + 59 + 60 + ... + 82 + 83 + 84, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7180? 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. David has 70 coins with a value of $8.70. The number of dimes is 4 times 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 6 consecutive even numbers is 342. What is the smallest number among these 6 numbers? 14. Nick has a total of 22 coins that consists nickels and quarters with a total value of $1.70. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 91230 repeat after the decimal point endlessly.
0.91230 = 0.912309123091230...
Which digit will fall in the 863rd place to the right of the decimal point? |