Math problems for September 16

Problem #1


In the subtraction problem below, each letter represents a digit, and different letters represent different digits.
What digit C represents?





Problem #2



Each of the small boxes in the figure below is a square. The perimeter of square ABCD is 36 cm. What is the perimeter of the figure shown with darkened outline?







Problem #3



means 2 x 2 x 2 or 8



means 3 x 3 x 3 or 27



means N x N x N


Suppose

is equal to 4913. What is the value of N?


Problem #4





Carl shot 3 arrows; 2 landed in the A ring and 1 landed in circle B for a total score of 17. David also shot 3 arrows; 1 landed in A and 2 in B for a total score of 22. How many points are assigned to B?


Problem #5


In the following sequence of numbers, each number has one more 1 than the preceding number: 1, 11, 111, 1111, ... . What is the tens digit of the sum of the first 30 numbers of the sequence?


Homework


Problem #1


My age this year is a multiple of 7. Next year it will be a multiple of 5. I am more than 20 years of age but less than 80. How old will I be 6 years from now?