Math & Beyond

What is Grouping?

11th Aug '2016 views1 mins read

11 August 2020

Reading Time: 3 minutes

What is Grouping?

  • Grouping is a set of people or things that have something in common. 

  • The action of putting things or arranging in a group or groups.

  • The collection can be grouped on the basis of size, shape, color, and a variety of other attributes.


Explanation of Grouping with Practical Examples



Different types of Grouping

  • Grouping by Number

Making groups of required numbers as illustrated like groups of 5, 10, 2, 4


  • Grouping By Type

  1. Going by the definition of grouping, similar items need to be arranged together.

.grouping by type


In the given example the source has all the alphabets mixed up

Our task is to put ‘A’s together, ‘B’s together, and ‘C’ s together as shown in the results.

So the outcome of this exercise is that we have separate groups of A B and C.



2) The below example illustrates the grouping of the collection of food we daily take on the basis of Grains, Dairy, Fruits + vegetables, and Protein.

So all the food items which are made of grains like bread and porridge goes into the group ‘Grains’.

Items made out of milk are put under ‘Dairy’. Banana, cauliflower, etc are in ‘Fruits and Vegetable’. 

Meat and Poultry go in ‘Protein’. 

One can see how the items with similar properties and composition are grouped together.


grouping by division


  • Grouping for Division   

The division is splitting into equal parts or groups. It is the result of “ fair sharing”. In the given example there are 12 chocolates and 3 friends. All 3 should get an equal no. of chocolates. So let's start keeping chocolates in 3 separate places for 3 friends. This process is called division. At the end of this process, we find that each friend gets 4 chocolates. So 12 divided by 3 gives us 4 or 12 when split into 3 groups has 4 number of items in each group.


grouping by multiplication


  • Grouping for Multiplication

Multiplication is repeated addition of a group with equal items. Like in this example its repeated addition of a group with 3 apples added 3 repeated times which results in a total of 9 apples.


Examples of Questions on Grouping


  • In these types of questions, you are required to analyze the given set of figures, numbers and put them into groups of 2’s, 3’s, 4’s,…

  • Find the number of groups of 2’s, 3’s, 4’s, … that could be formed from the given objects.


Example 1: How many groups of 7 balloons can be formed?


(A) 3                           (B) 4                           (C) 7                           (D) 5

(A) 3


Example 2: How many more flowers are required to form 5 equal groups of 2 flowers each?


(A) 2                           (B) 1                            (C) 5                            (D) 4

(B) 1


Question 1: What makes each of the groups below different from each other?
geometrical shapes
(A) Number                           (B) Shape                           (C) Size                           (D) Both B & C

(D) Both B & C


Question 2: Observe the given figure carefully and answer the following questions.

geometrical shapes

How many groups of 2 squares can be formed?

(A) 3                           (B) 4                           (C) 2                           (D) 9

(B) 4


Question 3: Observe the given figure carefully and answer the following questions.

geometrical shapes

How many more triangles are needed so that they can be grouped into 3 groups of 5 each?

(A) 3                           (B) 2                           (C) 7                           (D) 9

(C) 7


Question 4: _____ groups of 5 fidgets can be formed from the given spinning fidgets.

fidget toys

(A) 3                           (B) 4                           (C) 5                           (D) 6

(A) 3


Question 5: How many burgers are there in each group, if 4 groups of equal number of burgers are formed from the given burgers?


(A) 4                           (B) 5                           (C) 6                           (D) 8

(A) 4


Question 6: How many pens are left after making groups of 4 pens?


(A) 0                           (B) 1                           (C) 2                           (D) 3

(C) 2



On completion of the above grouping exercises, one should be able to group elements one by one in a simple manner. Once the grouping is done, we can easily match the options according to the problem. We can see how grouping is a base of various mathematical and analytical problem solving which enables us to be equipped for more complex problems in higher standards.

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