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 6 × = 3, what is the value of 75 × ? 4. If 2m = 7, what is the value of 4m − 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 132. 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 1 : 2 : 3 . The pile of coins has a total value of $9.00. How many dimes were there in the change? 8. Find the sum of the counting numbers from 90 to 134 inclusively. In other words, if S = 90 + 91 + 92 + ... + 132 + 133 + 134, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7197? 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. Smith has 124 coins with a value of $14.50. 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 8 consecutive even numbers is 520. What is the smallest number among these 8 numbers? 14. Jackson has a total of 11 coins that consists nickels and quarters with a total value of $1.55. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 12789 repeat after the decimal point endlessly. 0.12789 = 0.127891278912789... Which digit will fall in the 927th place to the right of the decimal point? |