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 147. What is the smallest number among the consecutive numbers? 3. If 10 × = 7, what is the value of 315 × ? 4. If 4m = 5, what is the value of 8m − 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 92. 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 : 2 : 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 69 to 95 inclusively. In other words, if S = 69 + 70 + 71 + ... + 93 + 94 + 95, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7151? 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 62 coins with a value of $7.80. 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 11 consecutive even numbers is 396. What is the smallest number among these 11 numbers? 14. Richard has a total of 23 coins that consists nickels and quarters with a total value of $2.35. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 456912 repeat after the decimal point endlessly. 0.456912 = 0.456912456912456912... Which digit will fall in the 803rd place to the right of the decimal point? |