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 245. What is the smallest number among the consecutive numbers? 3. If 6 × = 5, what is the value of 100 × ? 4. If 3m = 6, what is the value of 9m − 8? 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 196. 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 1 : 3 : 4 . The pile of coins has a total value of $17.55. How many dimes were there in the change? 8. Find the sum of the counting numbers from 106 to 141 inclusively. In other words, if S = 106 + 107 + 108 + ... + 139 + 140 + 141, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7172? 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. Josh has 57 coins with a value of $7.10. The number of dimes is 3 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 12 consecutive even numbers is 780. What is the smallest number among these 12 numbers? 14. George has a total of 27 coins that consists nickels and quarters with a total value of $3.15. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 01234 repeat after the decimal point endlessly.
0.01234 = 0.012340123401234...
Which digit will fall in the 800th place to the right of the decimal point? |