The Central Board of Secondary Education (CBSE) is a prestigious educational board which comes under the Union Government of India. Creative questions were added in this question paper in order to enhance the student's knowledge and get the idea that how to answer strategic questions asked in the board exams. This question paper is designed based on the academic syllabus. Sample papers should be practised in examination condition at home or school and also show it to your teachers for checking or compare with the answers provided.

Here, you will get the clue that from where and how the questions are being framed from the chapter Mensuration for CBSE Class 6 Maths. These questions can provide students with a chapter wise preparation strategy so that they can prepare for their exam more efficiently.

The National Council of Education and Training sets the curriculum for all schools that follow the Central Board of Secondary Education (CBSE) across the nation. The important questions provided below will also make students familiar with the marking scheme and the difficulty level of the exam. The important questions for CBSE class 6 Maths are prepared by subject experts according to the latest syllabus of CBSE. Students are advised to solve these important questions which can make them more focused on their exam and also bring a sense of discipline and seriousness in their exam preparation.

In this question paper, questions are covered from the chapter Data Handling. And questions are prepared from the creative as well as previous year questions.

Download CBSE Class 6th Standard CBSE Mathematics question papers, sample papers, important questions, and previous year solved papers in PDF format. Get free study materials, NCERT solutions, and exam preparation resources for Class 6th Standard CBSE Mathematics

Questions:

Generic 2

5 x 2 = 10

Which method is more useful when information from a much larger data is required?

What does one (\(\surd \)) mark indicate?

What are pictographs?

In a pictograph, if symbol represents 100 books in a library shelf, then how many books, this symbol represent?

Rajesh was asked to find the number of students playing different games in the school. The information collected by him is as follows:
Football 40, Cricket 30, Basketball 20, Badminton 10 Represent the given information with a pictograph.

Generic 5

2 x 5 = 10

The number of scouts in a school is depicted by the following pictograph.

Observe the pictograph and answer the following questions.
(a) Which class has the minimum number of scouts?
(b) Which class has the maximum number of scouts?
(c) How many scouts are there in class VI?
(d) Which class has exactly four times the scouts as that of class X?
(e) What is the total number of scouts in the classes VI to X?

In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

8	1	3	7	6	5	5	4	4	2
4	9	5	3	7	1	6	5	2	7
7	3	8	4	2	8	9	5	8	6
7	4	5	6	9	6	4	4	6	6

(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?

Generic 3

5 x 3 = 15

Observe this bar graph which shows the marks obtained by Aziz in half-yearly examination in different subjects.
Answer the given questions.
(a) What information does the bar graph give?
(b) Name the subject in which Aziz scored maximum marks.
(c) Name the subject in which he has scored minimum marks.
(d) State the name of the subjects and marks obtained in each of them.

A survey was done to find out the number of hours students spend on homework per day. The results are tabulate as shown in the table.

a)Complete the table and represent the results using a bar graph.
b) How many students were surveyed?

10.

This bar graph shows the number of students in a coaching centre. Use the bar graph to answer the following questions.
(a) How many students are there in class VII?
(b) How many more students in class V than class VIII are there?
(c) How many students are there in the coaching centre?
(d) How many more class VI students than class VII are there?

11.

Adjoining bar graph shows the number of students in different classes of a school. Read the graph and answer the following questions.
(a) How many students are in class X?
(b) How many students are in class VII?
(c) How many students are in class IX?

12.

The pictogram shows the number of persons using various brands of perfumes.

(a) How many persons use R brand?
(b) Which brand is used by maximum number of persons?

Multiple Choice Question

10 x 1 = 10

13.

Observe the following bar graph and answer the related questions:

What is the ratio of the number of students of class X and class IX?

(a)

1 : 1

(b)

1 : 2

(c)

2 : 1

(d)

1 : 4

14.

Observe the following bar graph and answer the related questions:

In which class/classes is the number of students minimum?

(a)

IX, X

(b)

VIII

(c)

(d)

VII

15.

Observe the following bar graph and answer the related questions:

How many parties won less than 60 seats?

(a)

(b)

(c)

(d)

16.

Observe the following bar graph and answer the related questions:

Which two political parties won the same number of seats?

(a)

C,D

(b)

C,E

(c)

D,E

(d)

B, D

17.

Observe the following table and answer the related questions:

Blood groups	Number of students
A	9
B	6
O	12
AB	3
Total	30

Which blood group is the rarest?

(a)

(b)

(c)

(d)

18.

The marks obtained by 10 students in Mathematics test are given below:

55	36	95	73	62
42	25	78	75	62

Answer the following related questions:
How many students got marks between 60 and 75?

(a)

(b)

(c)

(d)

19.

The choices of the fruits of 42 students in a class are as follows.
A, O, B, M, A, G, B, G, A, G, B, M, A, G, M, A, B, G, M, B, A, O, M, O, G, B, O, M, G, A, A, B, M, O, M, G, B, A, M, O, M, O
Where A, B, G, M and O stand for the fruits Apple, Banana, Grapes, Mango and Orange respectively. Which fruit is liked by most of the students?

(a)

(b)

(c)

(d)

20.

The marks obtained by 10 students in Science test are given below:
53, 36, 95, 73, 62, 42, 25, 78, 75, 62
Answer the following questions that are related to the given data.
How many students got marks below 62?

(a)

(b)

(c)

(d)

21.

(a)

(b)

(c)

(d)

None of these

22.

The marks (out of 10) obtained by 28 students in a Mathematics test are listed as given below:
8, 1, 2, 6, 5, 5, 5, 0, 1, 9, 7, 8, 0, 5, 8, 3, 0, 8, 10, 10, 3, 4, 8, 7, 8, 9, 2, 0
The number of students who obtained marks more than or equal to 5 is

(a)

(b)

(c)

(d)

Fill up / 1 Marks

5 x 1 = 5

23.

On the scale of 1 unit length = 10 crore, the bar of length 6 units will represent _________ crore and of ________ units will represent 75 crore.

24.

In a pictograph, if a symbol * represents 20 flowers in a basket, then *** stands for _________ flowers.

25.

In a bar graph, bars of __________ width can be drawn horizontally or vertically with ________ spacing between them.

26.

Representation of data in form of pictures is called ___________.

27.

The data can be arranged in a tabular form using _________ marks.

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Answers Key:

Generic 2

5 x 2 = 10

Ronald's table method is more useful.

One (\(\surd \)) mark indicates one student.

The pictorial representation of the numerical data using pictures or symbols is called the pictograph of the data.

75 books.

Given, information by Rajesh
Football \(\rightarrow\) 40, Cricket \(\rightarrow\) 30, Basketball \(\rightarrow\) 20, Badminton \(\rightarrow\) 10
The given data can be represented by a pictograph as shown below:

Generic 5

2 x 5 = 10

(a) Class X has minimum number of scouts i.e. 10.
(b) Class VIII has maximum number of scouts i.e. 60.
(c) Number of scouts in class VI = 40
(d) Number of scouts in class X =10
Hence. class VI has exactly four times the scouts as that of class X.
(e) Total number of scouts in classes VI to X
= 40 + 20 + 60 + 30 + 10 = 160.

The table with tally marks is shown below:

Marks	Tally marks	Number of students
1	II	2
2	III	3
3	III	3
4		7
5		6
6		7
7		5
8	IIII	4
9	III	3
Total		40

(a) Here, we have to find out the students, who obtained marks equal to 7 or more than 7. So, we have to add the number of students who obtained marks equal to 7 or more than 7 i.e. 7, 8 and 9.
\(\therefore\) Number of those students = 5 + 4 + 3 = 12
Hence, 12 students obtained marks equal to 7 or more than 7.
(b) Here, we have to find out the students who obtained marks below 4.
So, we have to add the number of students who obtained marks below 4 i.e. 1, 2 and 3.
\(\therefore\) Number of those students = 3 + 3 + 2 = 8
Hence, 8 students obtained marks below 4.

Generic 3

5 x 3 = 15

(a) This bar graph shows the marks obtained by Aziz in half-yearly examination in different subjects.
(b) Hindi
(c) Social Studies
(d) Hindi-80, English-60, Mathematics-70, Science-50 and Social Studies-40.

(a)

Hours	Tally	Frequency
0	I I	2
1	I I I	3
2	I I I I I I I I	9
3	I I I I I I I I I I I I I	16
4	I I I I I I	7
5	I I I I I I	7

(b) 44.

10.

(a) 20
(b) 5
(c) 75
(d) 10.

11.

(a) Number of students in class X = 80
(b) Number of students in class VII = 70
(c) Number of students in class IX = 100.

12.

(a) 24 persons
(b) R brand.

Multiple Choice Question

10 x 1 = 10

13.

(a)
1 : 1

14.

(a)
IX, X

15.

16.

(a)
C,D

17.

(a)
AB

18.

19.

20.

(b)
4

21.

22.

(d)
17

Fill up / 1 Marks

5 x 1 = 5

23.

()
60, \(7\frac{1}{2}\)

24.

()
60

25.

()
Uniform, equal

26.

()
Pictograph

27.

()
tally

6th CBSE Mathematics Data Handling Important Questions

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Answers Key:

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