1. What is the smallest number that has a remainder of 1 when you divide it by both three and four?

2. What is the smallest number that has a remainder of 2 when you divide it by 3, and a remainder of 4 when you divide it by 5?

2. When Mr. Buntle arranges his class into groups of four, there are three children left over. When Mr. Buntle arranges his class into groups of five, there are two children left over. All classes in Mr. Buntle’s school have at least twenty children. How many children are in Mr. Buntle’s class?

3. A candy machine makes 8 candies in each batch. The candies are sold in boxes of 6 candies. What is the minimum number of batches of candies that can be made so that they can be put into boxes with no candies left over?

4. One number between 40 and 50 has a remainder of 7 when it is divided by 13. What is the number?

5. One number between 30 and 40 has a remainder of 4 when it is divided by 7 and a remainder of 11 when it is divided by 14.