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 259. What is the smallest number among the consecutive numbers? 3. If 5 × = 6, what is the value of 300 × ? 4. If 3m = 8, what is the value of 9m − 15? 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 324. 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 : 1 : 1 . The pile of coins has a total value of $3.30. How many dimes were there in the change? 8. Find the sum of the counting numbers from 67 to 106 inclusively. In other words, if S = 67 + 68 + 69 + ... + 104 + 105 + 106, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7177? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $3.80 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Smith has 60 coins with a value of $8.00. 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 12 consecutive even numbers is 492. What is the smallest number among these 12 numbers? 14. Jay has a total of 19 coins that consists nickels and quarters with a total value of $1.75. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 901878 repeat after the decimal point endlessly.
0.901878 = 0.901878901878901878...
Which digit will fall in the 999th place to the right of the decimal point? |