Week 3: Remainders – Day 5

1. If you divide 87 by 23, what is the quotient and what is the remainder?

2. What is the smallest number with remainder 7 when you divide by 8, and remainder 6 when you divide by 7?

3. Four hamsters have 27 kibbles. They will divide the kibbles evenly among themselves and give the remainder to their friends, the mice. How many kibbles does each hamster get? How many kibbles go to the mice?

4. If you divide 80857 by 101, what is the quotient and what is the remainder?

5. The remainders of 7 in multiples of 8 form a sequence. What is this sequence? (Look at the sequence of multiples of 8. Divide each multiple by 7. What is the sequence of remainders?)

Week 3: Remainders – Day 4

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.

Week 3: Remainders – Day 3

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.

Week 3: Remainders – Day 2

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.

Week 3: Remainders – Day 1

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.

Week 2: Multiplication – Day 5

Mixing and Rearranging Factors

What is the missing number?

1. 42 = 6 x 7 = ? x 14

2. 52 = 2 x 26 = 4 x ?

3. 84 = 7 x 12 = 21 x ?

4. 48 = 8 x 6 = 16 x ?

5. 72 = 8 x 9 = ? x 18

Week 2: Multiplication – Day 4

Multiplication Patterns

1. How can you tell if a number is a multiple of ten?

2. How can you tell if a number is a multiple of five?

3. Write down the multiples of 11 from 1 x 11 to 9 x 11.

4. The ones-digits for multiples of nine follow a pattern. What is the pattern?

5. A power of nine is a multiple of nine by itself. The first power of nine is 9. The second power of 9 is 9×9. The third power of nine is 9x9x9. The ones-digits of powers of nine form a pattern. What is the pattern?

Week 2: Multiplication – Day 3

Factors

Because 2 x 3 = 6, the  number 6 is called a product. 6 is the product of 2 and 3. The numbers 2 and 3 are factors of 6.

1. What are the factors of 9?

2. Is 3 a factor of 21?

3. Is 6 a factor of 33?

4. What are all of the factors of 42?

5. Every counting number has at least two factors. What are these two factors?

(A counting number is a positive whole number, such as 1, 2, 3, 4, 5, 6, and so on.) For example, what are the two factors of 7?

Week 2: Multiplication – Day 1

Try to do the multiplication by using patterns.

1.    22 x 10 = ________

2.     3 x 22 =  ________

3.     3 x 220 = _______

4.    10 x 14 = ________

5.     9 x 14 = _________