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 189. What is the smallest number among the consecutive numbers? 3. If 9 × = 8, what is the value of 400 × ? 4. If 2m = 7, what is the value of 4m − 7? 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 : 3 : 4 . The pile of coins has a total value of $19.60. How many dimes were there in the change? 8. Find the sum of the counting numbers from 29 to 65 inclusively. In other words, if S = 29 + 30 + 31 + ... + 63 + 64 + 65, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7198? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $1.80 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Ed has 52 coins with a value of $6.40. The number of dimes is 6 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 13 consecutive even numbers is 884. What is the smallest number among these 13 numbers? 14. Smith has a total of 19 coins that consists nickels and quarters with a total value of $2.75. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 92457 repeat after the decimal point endlessly. 0.92457 = 0.924579245792457... Which digit will fall in the 840th place to the right of the decimal point? |