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 133. What is the smallest number among the consecutive numbers? 3. If 6 × = 5, what is the value of 75 × ? 4. If 5m = 8, what is the value of 10m − 3? 5. How many two-digit numbers are there in which the tens digit is less than or equal to 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 428. 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 : 1 . The pile of coins has a total value of $5.85. How many dimes were there in the change? 8. Find the sum of the counting numbers from 53 to 82 inclusively. In other words, if S = 53 + 54 + 55 + ... + 80 + 81 + 82, find the value of S. 9. 7n is n 7s multiplied together. What is the end digit of 7183? 11. There are equal number of nickels and quarters in my pocket. The value of the nickels is $3.40 less than the value of the quarters. What is the total value of all the nickels and quarters (in dollars)? 12. Michael has 68 coins with a value of $8.55. The number of dimes is 3 times the number of nickels. The number of quarters is 3 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 780. What is the smallest number among these 13 numbers? 14. Michael has a total of 20 coins that consists nickels and quarters with a total value of $1.80. How many of them are nickels? 15. Below is a repeating decimal that the set of digits 134579 repeat after the decimal point endlessly.
0.134579 = 0.134579134579134579...
Which digit will fall in the 874th place to the right of the decimal point? |