What's the Remainder

Integer Operations, Remainder

1. 2. 3.	Warm-up: What is the remainder when 9 is divided by 6? When the positive integer n is divided by 6 the remainder is 3. What is the lowest possible value of n? The positive number n is a two digit integer greater than 50 but less than 70. When n  is divided by 6 the remainder is 3, what are all the possible values for n?
4.	When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8?
5.	When the positive integer h is divided by 8, the remainder is 2. What is the remainder when h + 9 is divided by 8?
6.	When positive integer w is divided by 6, the remainder is 3. When positive integer t is divided by 6, the remainder is also 3. What is the remainder when the product of w and t is divided by 6?
7.	When the positive integer k is divided by 7 the remainder is 4. What is the remainder when k + 4 is divided by 7?
8.	When the positive integer k is divided by 7 the remainder is 4. When the positive integer j is divided by 7 the remainder is 3. What is the remainder when the product of k  and j is divided by 7?
9.	When the positive two-digit integer n is divided by 9 the remainder is 3. When n is divided by 7 the remainder is 5. What is one possible value of n?