Grades 3, 4 and 5 | Math | Elementary School | Mental Methods for Division

Back to Math: Elementary School: Grades 3, 4 and 5

Math: Elementary School: Grades 3, 4 and 5 Quiz - Mental Methods for Division (Questions)

This Math quiz is called 'Mental Methods for Division' and it has been written by teachers to help you if you are studying the subject at elementary school. Playing educational quizzes is an enjoyable way to learn if you are in the 3rd, 4th or 5th grade - aged 8 to 11.

It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us

Understanding the process of division can be quite a tricky challenge for some children. They may be initially introduced to the idea of 'sharing' equally before they are shown how to use mental methods to solve problems. This starts when they begin to understand the division facts related to the multiplication facts they are learning (for example, if they know that 2 x 5 = 10, than they could recognize that 10 ÷ 5 = 2). They will learn that division is, in fact, the same as repeated subtraction and also understand that whilst the multiplication of two numbers can be done in any order (commutative), the division of one number by another cannot.

Use this quiz to practice your mental methods for division.

If I share 6 candies equally into 3 bags, how many will be in each bag?

[ ]	6 x 2 = 3
[ ]	3 ÷ 2 = 6
[ ]	6 ÷ 3 = 2
[ ]	2 ÷ 3 = 6

If you know that 5 x 2 = 10 and 2 x 5 = 10, what other facts do you know?

[ ]	10 x 5 = 2 and 2 ÷ 5 = 10
[ ]	2 ÷ 5 = 10 and 5 ÷ 2 = 10
[ ]	2 x 10 = 5 and 5 x 10 = 2
[ ]	10 ÷ 5 = 2 and 10 ÷ 2 = 5

What is 12 divided by 6?

[ ]	12 ÷ 6 = 2
[ ]	12 ÷ 6 = 18
[ ]	12 ÷ 6 = 72
[ ]	12 ÷ 6 = 4

Division is the same as...

[ ]	finding the total
[ ]	repeated subtraction
[ ]	multiplying
[ ]	adding up over and over again

Which multiplication fact could help you work out 20 ÷ 5?

[ ]	5 x 2 = 10
[ ]	20 x 5 = 100
[ ]	5 x 20 = 4
[ ]	5 x 4 = 20

I know that 6 x 3 = 18. Which fact is the odd one out?

[ ]	3 x 6 = 18
[ ]	18 ÷ 6 = 3
[ ]	18 ÷ 3 = 6
[ ]	18 ÷ 9 = 2

Which two division calculations could apply to the number 8?

[ ]	8 ÷ 4 = 2 and 8 ÷ 2 = 4
[ ]	6 ÷ 3 = 2 and 6 ÷ 2 = 3
[ ]	10 ÷ 2 = 5 and 10 ÷ 5 = 2
[ ]	12 ÷ 6 = 2 and 12 ÷ 2 = 6

Which division fact is incorrect?

[ ]	14 ÷ 7 = 2
[ ]	16 ÷ 2 = 8
[ ]	20 ÷ 10 = 2
[ ]	10 ÷ 3 = 7

4 friends share 8 slices of pizza. How many slices will they each get?

[ ]	2, because 8 ÷ 4 = 2
[ ]	4, because 8 ÷ 2 = 4
[ ]	8, because 8 ÷ 1 = 8
[ ]	1, because 8 ÷ 8 = 1

10.

If I divided 9 photographs into piles of 3, how many piles could I make?

[ ]	9, because 9 ÷ 1 = 9
[ ]	3, because 9 ÷ 3 = 3
[ ]	1, because 9 ÷ 9 = 1
[ ]	27, because 9 x 3 = 27

Math: Elementary School: Grades 3, 4 and 5 Quiz - Mental Methods for Division (Answers)

If I share 6 candies equally into 3 bags, how many will be in each bag?

[ ]	6 x 2 = 3
[ ]	3 ÷ 2 = 6
[x]	6 ÷ 3 = 2
[ ]	2 ÷ 3 = 6

If we divide the 6 candies equally, there will be 2 candies in each bag

If you know that 5 x 2 = 10 and 2 x 5 = 10, what other facts do you know?

[ ]	10 x 5 = 2 and 2 ÷ 5 = 10
[ ]	2 ÷ 5 = 10 and 5 ÷ 2 = 10
[ ]	2 x 10 = 5 and 5 x 10 = 2
[x]	10 ÷ 5 = 2 and 10 ÷ 2 = 5

The division facts always have the largest number at the beginning

What is 12 divided by 6?

[x]	12 ÷ 6 = 2
[ ]	12 ÷ 6 = 18
[ ]	12 ÷ 6 = 72
[ ]	12 ÷ 6 = 4

We could also say that 12 ÷ 2 = 6

Division is the same as...

[ ]	finding the total
[x]	repeated subtraction
[ ]	multiplying
[ ]	adding up over and over again

6 ÷ 3 gives the same answer as taking 3 away from 6 until none remain

Which multiplication fact could help you work out 20 ÷ 5?

[ ]	5 x 2 = 10
[ ]	20 x 5 = 100
[ ]	5 x 20 = 4
[x]	5 x 4 = 20

Knowing the multiplication tables well will help you to work out the division facts

I know that 6 x 3 = 18. Which fact is the odd one out?

[ ]	3 x 6 = 18
[ ]	18 ÷ 6 = 3
[ ]	18 ÷ 3 = 6
[x]	18 ÷ 9 = 2

The division and multiplication facts form a 'family' of four - two division and two multiplication

Which two division calculations could apply to the number 8?

[x]	8 ÷ 4 = 2 and 8 ÷ 2 = 4
[ ]	6 ÷ 3 = 2 and 6 ÷ 2 = 3
[ ]	10 ÷ 2 = 5 and 10 ÷ 5 = 2
[ ]	12 ÷ 6 = 2 and 12 ÷ 2 = 6

If we divide 8 tomatoes into 2 groups, there would be 4 in each group. If we divided them into 4 groups, there would be 2 in each group

Which division fact is incorrect?

[ ]	14 ÷ 7 = 2
[ ]	16 ÷ 2 = 8
[ ]	20 ÷ 10 = 2
[x]	10 ÷ 3 = 7

The others are all related to the 2 times table

4 friends share 8 slices of pizza. How many slices will they each get?

[x]	2, because 8 ÷ 4 = 2
[ ]	4, because 8 ÷ 2 = 4
[ ]	8, because 8 ÷ 1 = 8
[ ]	1, because 8 ÷ 8 = 1

If you know that 4 x 2 = 8, then you could work out that 8 ÷ 4 = 2

10.

If I divided 9 photographs into piles of 3, how many piles could I make?

[ ]	9, because 9 ÷ 1 = 9
[x]	3, because 9 ÷ 3 = 3
[ ]	1, because 9 ÷ 9 = 1
[ ]	27, because 9 x 3 = 27

If you know that 3 x 3 = 9, it could help you work out that 9 ÷ 3 = 3