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 238. What is the smallest number among the consecutive numbers? 3. If 5 × = 8, what is the value of 200 × ? 4. If 5m = 6, what is the value of 10m − 11? 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 2 : 1 : 3 . The pile of coins has a total value of $12.35. How many dimes were there in the change? 8. Find the sum of the counting numbers from 102 to 140 inclusively. In other words, if S = 102 + 103 + 104 + ... + 138 + 139 + 140, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7119? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $2.20 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Joe has 101 coins with a value of $12.90. The number of dimes is 3 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 6 consecutive even numbers is 306. What is the smallest number among these 6 numbers? 14. Ed has a total of 26 coins that consists nickels and quarters with a total value of $3.10. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 257901 repeat after the decimal point endlessly. 0.257901 = 0.257901257901257901... Which digit will fall in the 907th place to the right of the decimal point? |