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 182. What is the smallest number among the consecutive numbers? 3. If 8 × = 7, what is the value of 175 × ? 4. If 4m = 7, what is the value of 8m − 5? 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 156. 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 : 3 : 3 . The pile of coins has a total value of $16.10. How many dimes were there in the change? 8. Find the sum of the counting numbers from 43 to 66 inclusively. In other words, if S = 43 + 44 + 45 + ... + 64 + 65 + 66, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7100? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $2.00 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Andy has 46 coins with a value of $5.90. 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 5 consecutive even numbers is 260. What is the smallest number among these 5 numbers? 14. Richard has a total of 26 coins that consists nickels and quarters with a total value of $2.90. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 318912 repeat after the decimal point endlessly. 0.318912 = 0.318912318912318912... Which digit will fall in the 949th place to the right of the decimal point? |