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.

Answers

For each division, write an equation that describes the number as a multiple plus a remainder.

For example: Divide 37 by 8. 4×8 = 32 is the nearest multiple of 8 less than 37, and the remainder is 5. Therefore the answer is:

37 = 4×8 + 5.

1. Divide 12 by 5.

2. Divide 20 by 7.

3. Divide 46 by 4.

4. Divide 28 by 13.

5. Divide 59 by 11.

Answers

Find the quotient and the remainder.

1. Divide 37 by 35.

2. Divide 89 by 22.

3. Divide 427 by 10.

4. Divide 427 by 100.

5. Divide 427 by 1000.

Answers

When you divide a number, the number of whole multiples is the quotient, and the number left over is the remainder. When nine is divided by two, there are four twos and one left over: the quotient is 4 and the remainder is 1.

For each problem, list the quotient and the remainder.

1. Divide 6 by 4.

2. Divide 11 by 2.

3. Divide 10 by 5.

4. Divide 11 by 10.

5. Divide 23 by 3.

Answers