IQ Test for Class 4 Maths - Orchids Schools
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IQ Test for Class 4 Maths

IQ stands for the Intelligence quotient, which is IQ in complete form. This discussion is about what is intelligence quotient, who gave the concept of the intelligence quotient, and also intelligence quotient examples are given. That also deals with the division of numbers and bar graphs.

IQ: Intelligence Quotient

It is a number used to express how intelligent a person is.

In 1905, psychologists Alfred Binet and Theodore Simon designed a test for children who were struggling in school in France.

IQ

Designed to determine which children required individualized attention, their method formed the basis of the IQ test.

The intelligence quotient is one of the many tests of intelligence to calculate the relative intelligence of a person.

The relative intelligence of a person can be calculated from two data:

  • Mental Age
  • Chronological Age

Now, if Mental Age and Chronological Age are given to us, there is a theoretical formula to calculate a person's IQ.

Intelligence Quotient Formula:

IQ formula

Also, from the formula of IQ, it follows that

IQ formula

And

IQ formula

Where MA = Mental Age
CA = Chronological Age
Psychologists make classifications according to IQ range.
According to the Sandford-Binet Fifth Edition classification, the IQ level chart is below.

IQ Level Chart:

IQ Range IQ Classification
144 and above Very gifted or highly advanced
130-144 Gifted or very advanced
120-129 Superior
110-119 High average
90-109 Average
80-89 Low Average
70-79 Borderline impaired or delayed
55-69 Mildly impaired or delayed
40-54 Moderately impaired or delayed

Operations on Real Numbers

Question 1:

If Dola Has a Mental Age of 35 Years and Chronological Age of 25 Years, Then What Will Be Her Intelligence Quotient (IQ)?

Also, Classify Her Intelligence Quotient (IQ).

Answer 1:

Part 1:

Here, the mental age is 35 years
And chronological age = 25 years
The formula to calculate the Intelligence Quotient (IQ) is as follows:

IQ =
MA / CA
*100
IQ =
35 / 25
*100

=35*4
=140

The Intelligence Quotient (IQ) of Dola is 140.

Part 2:

Dola's IQ belongs in the range of 130-144.
So, the intelligence of Dola is gifted or very advanced.

Question 2:

Two Friends Puja and Raja Have the Same Intelligence Quotient, 120.

The Chronological Age of Puja Was 25 Years, and That of Raja Was 20 Years.
Find the Mental Age of Both Puja and Raja.
Then Compare Their Mental Age.

Answer 2:

Part 2:

Here, the Intelligence Quotient of Puja = 120
And chronological age of Puja is 25 years
The formula to calculate the Intelligence Quotient (IQ) is as follows

IQ =
MA / CA
*100
Then for mental age
MA =
CA*IQ / 100

MA =
25*120 / 100

=
3000 / 100

=30

So, the mental age of Puja is 30 years.
Here, the Intelligence Quotient of Raja is 120
and the chronological age of Puja is 20 years.

Part 2:

The formula to calculate the Intelligence Quotient (IQ) is as follows:

IQ =
MA / CA
*100

Then for mental age

MA =
CA*IQ / 100

MA =
25*120 / 100

=
2400 / 100

=24

So, his mental age is 24 years.
So, Puja's mental age is higher than Raja's mental age.

Question 3:

The Mental Age and Intelligence Quotient (IQ) Riju Were 23 Years and 115. His Brother Benu Has a Mental Age of 25 Years, and His Intelligence Quotient (IQ) Is 125. Then Find the Chronological Age of Each Brother.

Answer 3:

Part 1:

Here, the Intelligence Quotient of Riju = 115
And mental age of Riju = 23 years
The formula to calculate the Intelligence Quotient (IQ) is as follows

IQ =
MA / CA

Then for chronological age:

CA =
MA / IQ
*100
CA =
23 / 115
*100
=
2300 / 115
*100

=20

So, the chronological age of Riju is 20 years.
Here, the Intelligence Quotient of Benu = 125
And mental age of Benu = 25 years
The formula to calculate the Intelligence Quotient (IQ) is as follows

IQ =
MA / IQ
*100

Then for chronological age:

CA =
MA / IQ
*100
CA =
25 / 125
*100
=
2500 / 125

=20

So, the chronological age of Benu is 20 years.

Vertical Bar Graph

Question 4:

There Are 400 Students in a School, and the School Committee Tests Their Student's IQs. They Represent the Data in the Graph. Read the Graph and Answer the Following Question:

  1. The Number of Students With a High Average IQ Is:
    1. 100
    2. 120
    3. 80
    4. 50
  2. The Number of Students With Borderline Impaired or Delayed IQ Is:
    1. 100
    2. 120
    3. 80
    4. 50
  3. 100 Students of the School Are Present With Classification
    1. Superior
    2. High Average
    3. Average
    4. Low Average

Answer 4:

  1. We know that the range of IQ for high-average students is 110-129.
    Then from the graph, we get the range for 120 students. The correct option is option ii) 120.
  2. We know that the range of IQ for high-average students is 70-79.
    Then from the graph, we get the range for 80 students. The correct option is option iii) 80.
  3. From the graph, we get 100 students in the 120-129.
    Also, the classification for the range of 120-129 students is Superior.
    The correct option is the option i) Superior

Question 5:

Payel Read in Class 10. Her Mathematics Teacher Tests Their IQ in Class. The Data of Collection Is Given Below:

Range of IQ Number of students
110-119 10
120-129 15
80-89 32
70-79 18
55-69 25
40-54 35
  1. Draw the Vertical Bar Graph to Represent the Given Data.
  2. Find the Total Number of Students in Payel's Class.
  3. Find the Number of Students in Which Category Presents the Greatest?
  4. Find the Number of Students in the High Average Category?
  5. Find the Number of Students in the Low Average Category?

Answer :

  1. Vertical bar graph
  2. the total number of students in Payel's class is
    = 10 + 15 + 32 + 18 + 25 + 35
    = 135
    So, the total number of students in Payel's class is 135.
  3. The greatest number of students present is in the range of 40-54.
    And the classification for that range is Moderately impaired or
    Delayed.
    So, the greatest number of students present in the category moderately impaired or delayed.
  4. We know that the range for the high average category is 110-119.
    And from the table, the number of students we get from 110-119 is 10.
    So, the number of high-average students is 10.
  5. We know that the range for the low average category is 80-89.
    And from the table, the number of students we get from 80-89 is 32.
    So, the number of low-average students is 32.
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