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 112. What is the smallest number among the consecutive numbers? 3. If 8 × = 10, what is the value of 100 × ? 4. If 3m = 6, what is the value of 9m − 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 436. 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 3 : 2 : 3 . The pile of coins has a total value of $11.00. How many dimes were there in the change? 8. Find the sum of the counting numbers from 62 to 102 inclusively. In other words, if S = 62 + 63 + 64 + ... + 100 + 101 + 102, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7112? 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. George has 70 coins with a value of $8.70. The number of dimes is 6 times the number of nickels. The number of quarters is 6 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 14 consecutive even numbers is 546. What is the smallest number among these 14 numbers? 14. George has a total of 24 coins that consists nickels and quarters with a total value of $2.80. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 679012 repeat after the decimal point endlessly. 0.679012 = 0.679012679012679012... Which digit will fall in the 817th place to the right of the decimal point? |