Mental Methods for Division
If 8 slices of pizza are shared between 4 people they get 2 slices each.

Mental Methods for Division

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.

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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 รท 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.

1.
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
The division facts always have the largest number at the beginning
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
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
3.
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
If you know that 4 x 2 = 8, then you could work out that 8 ÷ 4 = 2
4.
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
Knowing the multiplication tables well will help you to work out the division facts
5.
Which division fact is incorrect?
14 ÷ 7 = 2
16 ÷ 2 = 8
20 ÷ 10 = 2
10 ÷ 3 = 7
The others are all related to the 2 times table
6.
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 we divide the 6 candies equally, there will be 2 candies in each bag
7.
Division is the same as...
finding the total
repeated subtraction
multiplying
adding up over and over again
6 ÷ 3 gives the same answer as taking 3 away from 6 until none remain
8.
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
If you know that 3 x 3 = 9, it could help you work out that 9 ÷ 3 = 3
9.
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
The division and multiplication facts form a 'family' of four - two division and two multiplication
10.
What is 12 divided by 6?
12 ÷ 6 = 2
12 ÷ 6 = 18
12 ÷ 6 = 72
12 ÷ 6 = 4
We could also say that 12 ÷ 2 = 6
Author:  Angela Smith

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