# CBSE Important Questions Class 6 Maths Chapter 9

## Important Questions Class 6 Maths Chapter 9 – Data Handling

Maths is one of the major subjects in school. Students must solve questions as much as possible to clear their concepts in the subject matter. Chapter 9 of the textbook is about data handling. It gives the ideas of data organisations, data representations and data interpretations.

Students will learn how to organise the raw data for their use. They will learn the uses of frequency tables and tally marks. In data interpretations, students will study bar graphs. It is an important two-dimensional representation of data. The chapter will also teach how to draw information from bar graphs. It is known as data interpretation. Students may take help from the Important Questions Class 6 Maths Chapter 9 to build their concepts.

Extramarks is a leading organisation that provides different study materials to students. Our experts believe in continuous practice to ensure better marks. They have collected different questions from various sources and are included in this question series. The experts have collated the questions from textbook exercises, CBSE sample papers, CBSE past years, question papers and important reference books to prepare the Important Questions Class 6 Maths Chapter 9.

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 CBSE Important Questions for Class 6 Maths Sr No Chapter No Chapter Name 1 Chapter 1 Knowing Our Numbers 2 Chapter 2 Whole Numbers 3 Chapter 3 Playing with Numbers 4 Chapter 4 Basic Geometrical Ideas 5 Chapter 5 Understanding Elementary Shapes 6 Chapter 6 Integers 7 Chapter 7 Fractions 8 Chapter 8 Decimals 9 Chapter 9 Data Handling 10 Chapter 10 Mensuration 11 Chapter 11 Algebra 12 Chapter 12 Ratio and Proportion 13 Chapter 13 Symmetry 14 Chapter 14 Practical Geometry

## Important Questions Class 6 Maths Chapter 9 – With Solutions

The experts of Extramarks have collected the following questions and solved them. They have taken help from the textbook, CBSE sample papers, NCERT exemplars and important reference books. Apart from this, they have included a few questions from CBSE past years’ question papers. Experienced professionals have further checked the answers to ensure the best quality of content for students. Thus, the Important Questions Class 6 Maths Chapter 9 will help students to prepare better for the exams. The questions are –

Question 1.

A ____ is the collection of numbers gathered to give some meaningful information.

Data

Question 2.

The data can be arranged in tabular form using ____ marks.

Tally

Question 3.

A ____ represents data through pictures of objects.

Pictograph

Question 4.

In a bar graph, ____ can be drawn either horizontally or vertically.

Bars

Question 5.

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

Uniform, Equal

Question 6.

In a Maths test taken in a class, the following marks were obtained by forty students. Arrange these total marks in a table using tally marks.

(i) Find how many students obtained marks equal to or more than 7.

(ii) How many students obtained marks below 4?

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

From the given data, we have the following table.

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-1/

(i) Number of students who obtained marks equal to or more than 7 = 5 + 4 + 3 = 12

(ii) Number of students who obtained marks below 4 = 2 + 3 + 3 = 8.

Question 7.

Following is the choice of sweets for thirty students of Class VI A.

Arrange the names of these sweets on a table using tally marks.

Which of the following sweet is preferred by most of the students?

(i) We have the following table:

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-1/

(ii) Ladoo is preferred by the most of the students, i.e., 11 students.

Question 8.

Catherine threw a die forty times and noted the number appearing at each turn as shown below:

Make a table and also enter the data using tally marks. Find the number that appeared.

(i) The minimum number of times

(ii) The maximum number of times

(iii) Find those numbers that appear an equal number of times.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

We have the following table:

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-1/

From the above table, we get

(i) The number 4 appeared four times, which is the minimum.

(ii) The number 5 appeared 11 times which is the maximum.

(iii) The numbers 1 and 6 appear the same number of times, i.e., 7.

Question 9.

The following given pictograph shows the number of tractors in five villages.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Observe the pictograph below and answer the following questions.

(i) Which of these villages has the least number of tractors?

(ii) Which village has the most number of tractors?

(iii) How many more tractors are there in village C in comparison to village B?

(iv) What is the total number of tractors in all the villages? The five villages?

From the given pictograph, we have

(i) Village D has the least number of tractors, i.e., 3.

(ii) Village C has the most number of tractors, i.e., 8.

(iii) Village C has three tractors more than that of village B.

(iv) a Total number of tractors in all the villages is 28.

Question 10.

Using the tally marks, which one of the following represents the number eight:

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(D) Eight can be represented as

Question 11.

The marks (out of 10) are obtained by 28 students in a Maths test are listed 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 total number of students who have obtained marks more than 5 or equal to 5 is

(i) 13

(ii) 15

(iii) 16

(iv) 17.

(iv) The number of students who obtained marks more than or equal to 5 is 17.

Question 12.

In question 11 above, the number of students who scored marks less than 4 is

(i) 15

(ii) 13

(iii) 12

(iv) 10

(iv) The number of students who scored marks less than four is 10.

Question 13.

The choices of the fruits of forty-two students present in a class are as follows:

A, O, G, M, A, B, G, M, B,

A, O, M, O, G, B, 0, M, G, A,B, M, A, G, B, G, A, G,

B, M, A, A, B, M, O, M, G, B, A, M, O, M, O,

Where A, B, G, M and O stand for the following fruits like Apple, Banana, Grapes, Mango and Orange.

Which of the two fruits is liked by an equal number of students?

(i) A and M

(ii) M and B

(iii) B and O

(iv) B and G

(iv) We have given two fruits Banana and Grapes, which are liked by an equal number of students, i.e., 8.

Question 14.

According to data of question 13, which fruit is liked by most of the students?

(i) O

(ii) G

(iii) M

(iv) A

(iii) Mango is the only fruit which is liked by most of the students.

Question 15.

The number of girl students in each of the class of a co-educational middle school is depicted below by the pictograph:

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Observe this pictograph given and then answer the following questions:

(i) Which class has the least number of girl students?

(ii) Are the number of girls in Class VI less than the number of girls present in Class V?

(iii) How many total no of girls are there in Class VII?

(i) Class VIII has the minimum number of girl students,e. 1 and 1/2

x 4 = 6.

(ii) No, the number of girls in Class VI = 4 x 4 = 16 and the number of girls in Class V = 2 and 1/2

x 4 = 10

So, the number of girls students in Class VI is not less than that of Class V.

(iii) Number of girls in Class VII = 3 x 4 = 12

Question 16.

The sale of electric bulbs on many different days of the week is shown below:

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Observe the pictograph given and answer the following questions:

(i) How many bulbs were sold on Friday?

(ii) On which day was the maximum number of bulbs sold?

(iii) On which of the day’s the same number of bulbs sold?

(iv) On which of the day’s minimum number of bulbs were sold?

(v) If one big carton can hold nine bulbs. How many cartons are needed in the given week?

(i) Number of bulbs sold on Friday = 7 x 2 = 14

(ii) On Sunday, the number of bulbs sold = 9 x 2 = 18, which is the maximum number.

(iii) On Wednesday and Saturday, the same number of bulbs were sold, i.e., 4 x 2 = 8

(iv) The minimum number of bulbs were sold on Wednesday and Saturday, i.e., 4 x 2 = 8

(v) Total number of bulbs sold in a week = 43

Number of cartons needed 5

= (43 x 2) ÷ 9 = 86 ÷ 9 = 86/9

= 10 cartons.

Question 17.

In a village, six fruit merchants sold the following total number of fruit baskets in a particular season:

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Observe this pictograph above and answer the following given questions:

(i) Which of the following merchants sold the maximum number of baskets?

(ii) How many fruit baskets were sold by Anwar?

(iii) The merchants who have sold 600 or more baskets are planning to buy a godown for the next season. Can you name them?

(i) Martin sold the maximum number of fruit baskets, i.e., 19/2 x 100 = 950

(ii) Number of fruit baskets sold by Anwar is 7 x 100 = 700.

(iii) Anwar, Martin and Ranjit Singh have sold 600 or more fruit baskets and planning to buy a godown.

Question 18.

State whether the given statement is true (T) or false (F).

In a bar graph, the width of the bars may be sometimes unequal.

This is a False statement.

In a bar graph, the bars have equal widths.

Question 19.

State whether the given statement is true (T) or false (F).

In a bar graph, the bars of uniform width are drawn vertically only.

False

In a bar graph the bars of uniform width can be drawn vertically as well as horizontally.

Question 20.

State whether the given statement is true (T) or false (F).

In a bar graph, the gap between any of the two consecutive bars may not be the same.

This is a False statement.

In a bar graph, the gap between the two consecutive bars should be the same.

Question 21.

State whether the given statement is true (T) or false (F).

In a bar graph, each bar ( shaped like a rectangle) represents only one value of the numerical data.

True

Question 22.

State whether the given statement is true (T) or false (F).

To represent the total population of different towns using a bar graph, it is convenient to take one unit length to represent a single person.

False

Question 23.

State whether the given statement is true (T) or false (F).

Pictographs and bar graphs are pictorial representations of numerical data.

True

Question 24.

The total number of animals in these five villages is given as follows:

1. Village A: 80
2. Village B: 120
3. Village C: 90
4. Village D: 40
5. Village E: 60

Prepare a pictograph of the total number of animals using one symbol ⊗ to represent ten animals and answer the following questions:

(i) How many symbols represent the animals in village E?

(ii) Which of the following village has the maximum number of animals?

(iii) Which of the following village has more animals: village A or village C?

From the given information, we have

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-2/

(i) Six symbols are used to represent the number of animals in village E.

(ii) Village B has the maximum number of animals, i.e., 120

(iii) Village C has a more number of animals.

Question 25.

The total number of students of a school in different years is shown in the following table:

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

1. (i) Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions:

(ii) How many symbols represent the total number of students in the year 1998?

1. Prepare another pictograph of students using any symbol, each representing 50 students.

1. From the given information, we have

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-2/

(i) Six symbols represent the total number of students in the year 2002.

(ii) Five complete and one incomplete symbol represent the total number of students for the year 1998.

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-2/

Question 26.

The bar graph given below denotes the amount of wheat purchased by the government between the year 1998-2002.

Read the bar graph given below and write down your Observations. In Which year was

(i) the wheat production maximum?

(ii) the wheat production minimum?

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

(i) In the year 2002, wheat production was maximum.

(ii) In the year 1998, wheat production was minimum.

Question 27.

Observe this bar graph which denotes the sale of shirts in a ready-made shop from Monday to Saturday.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Now answer the following questions below –

(i) What of the following information does the bar graph give?

(ii) What is the total scale chosen on the horizontal line to represent the number of shirts?

(iii) On which day the maximum number of shirts sold were? How many total shirts were sold on that day?

(iv) On which day the minimum number of shirts sold was?

(v) How many total shirts were sold on Thursday?

(i) The given bar graph shows the sale of shirts in a ready-made shop from Monday to Saturday.

(ii) One unit length = 5 shirts, the scale was chosen on the horizontal line.

(iii) On Saturday maximum number of shirts were sold. Sixty shirts were sold on that day.

(iv) On Tuesday, the minimum number of shirts were sold.

(v) Thirty-five shirts were sold on Thursday.

Question 28.

Observe this below bar graph which shows the marks obtained by Aziz in half-yearly examinations in different subjects.

(i) What information does the bar graph give?

(ii) Name the subject in which Aziz scored maximum marks.

(iii) Name the subject in which he has scored minimum marks.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

(i) This bar graph shows the marks obtained by Aziz in half-yearly examinations in different subjects.

(ii) In Hindi, Aziz has scored the maximum marks.

(iii) In social studies, he has scored the minimum marks.

Question 29.

Does the following pictograph show information about the areas in sq km (to the nearest hundred) of some districts of Chhattisgarh State:

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(i) What is the area of the Koria district?

(ii) Which two districts have the same area?

(iii) How many districts have an area of more than 5000 square kilometres?

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(i) The area of the Koria district is 6000 sq km.

(ii) Raigarh and Jashpur districts have the same area of 6500 sq km.

(iii) There are four districts that have an area of more than 5000 square kilometres, and they are Raigarh, Rajnandgaon, Koria and Jashpur.

Question 30.

A survey of the 120 school students was done to find out which one activity they prefer to do in their free time.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Draw a bar graph below to illustrate the above data taking a scale of 1 unit length = five students. Which one activity is preferred by most of the students other than playing?

From the given information above, we have the following bar graph.

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-4/

Activity reading story books are preferred by most of the students other than playing.

Question 31.

The number of Maths books sold by the shopkeeper on 6 consecutive days is shown below:

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Draw a bar graph below to represent the above information and choose the scale of your choice.

From the information given above, we have the following bar graph:

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-4/

Question 32.

The number of people in various age groups in the town is given in the following table.

Image Source: NCERT Textbook / https://ncert.nic.in/textbook.php?femh1=9-14

Draw a bar graph below to represent the above information and answer the following questions (take 1 unit length = 20 thousand)

(i) Which of the two age groups have the same population?

(ii) All the persons in the age group of sixty and above are called senior citizens. How many total senior citizens are there in the town?

From the above given information, we have the bar graph.

Image Source: NCERT Textbook / https://www.learncbse.in/ncert-solutions-for-class-6-Mathematics-data-handling-exercise-9-4/

(i) Age groups of 30 – 44 and 45 – 59 have the same population.

(ii) Number of Senior citizens are 80,000 + 40,000 = 1,20,000

Question 33.

The following bar graph denotes the data for different sizes of shoes worn by the students in a school. Read the bar graph shown below and answer these questions.

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(i) Find the number of students whose shoe sizes have been collected.

(ii) What is the number of students wearing shoe size 6?

(iii) What are the different sizes of shoes worn by the students?

(iv) Which shoe size is worn by the maximum number of students?

(v) Which shoe size is worn by the minimum number of students?

(vi) State whether true(T) or false(F):

The total number of students wearing shoe sizes 5 and 8 are the same as the number of students wearing shoe sizes 6.

(i) The total number of students whose shoe sizes have been collected = 250 + 200 + 300 + 400 + 150 = 1300

(ii) The number of students wearing shoe size 6 is 300.

(iii) The different sizes of the shoes worn by the students are 4, 5, 6, 7 and 8.

(iv) The shoe size seven is worn by the maximum number of students.

(v) The shoe size eight is worn by the minimum number of students.

(vi) False: Since the number of students wearing shoe sizes 5 and 8 are 350 and the number of students wearing shoe size 6 is 300.

Question 34.

The following graph below gives information about the number of total railway tickets sold for different cities on a railway ticket counter between timings 6.00 am till 10.00 am. Study the bar graph given and answer the following given questions.

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(i) How many tickets were sold in all?

(ii) For which city was the maximum number of tickets sold?

(iii) For which city the minimum number of tickets sold was?

(iv) Name the cities for which the number of tickets sold is more than 20.

(v) Fill in the blanks:

The total number of tickets sold for Delhi and Jaipur together exceeds the total number of tickets sold for Patna and Chennai by ____.

(i) Total number of tickets sold = 80 + 50 + 100 + 20 + 45 = 295

(ii) The maximum number of tickets sold for Delhi.

(iii) The minimum number of tickets sold for Chennai.

(iv) The cities for which the number of tickets sold is more than 20 are as follows:

Patna, Jaipur, Delhi and Guwahati.

(v) 50 : Number of tickets sold for Delhi and Jaipur together are = 100 + 50 = 150.

The number of tickets sold for Patna and Chennai together is = 80 + 20 = 100.

Therefore, tickets sold for Delhi and Jaipur exceed the tickets sold for Patna and Chennai by 150 – 100 = 50.

Question 35.

The bar graph given below represents the approximate total length (in kilometres) of a few National Highways in India. Study the bar graph given and answer the following given questions:

Image Source: NCERT Exemplar / https://www.learncbse.in/ncert-exemplar-class-6-Mathematics-chapter-5/

(i) Which National Highway (N.H.) is the longest among the above?

(ii) Which National Highway is the shortest among the above?

(iii) What is the length of National Highway 9?

(iv) Length of which National Highway is about three times the National Highway 10?

(i) The longest National Highway is N.H. 2.

(ii) The shortest National Highway is N.H. 10.

(iii) The length of National Highway 9 is 900 km.

(iv) Length of National Highway 10 = 450 km

Length of National Highway 8 = 1400 km

So, the length of National Highway 8 is about three times that of National Highway 10.

### Benefits of Solving Important Questions Class 6 Maths Chapter 9

Practice is very important to score better in exams. In Maths, students must practice as much as possible to build their concepts. Solving questions will help students in various ways. It will clear their doubts, generate their interest in the subject and boost their confidence. Thus, it will help them to score higher marks in exams. So, the Important Questions Class 6 Maths Chapter 9 will help students in multiple ways. These are-

• The textbook exercises have limited questions, which is not enough for students. They must take help from other sources to solve questions regularly. But it can be tiresome for them to search for different questions in different books. So, the experts of Extramarks have made the question series where they have included a question from different sources. They have collected the questions from textbook exercises, CBSE sample papers, CBSE past years’ question papers, NCERT exemplars and important reference books. Thus, the Chapter 9 Class 6 Maths Important Questions will help students continuously practice.
• The experts have solved the questions too. They have provided a step-step process to explain every question, and experienced professionals have further checked the answers. Thus, students can follow the answers if they cannot solve any question. Apart from this, they can check their answers with the answers provided by professionals. Thus, the Maths Class 6 Chapter 9 Important Questions will also help students to boost their confidence and score better in exams.
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Q.1 Read the bar graph given below which shows the number of new players enrolled in different years in a cricket academy.

Identify the years in which number of enrollments are in the ratio 2:3.

A. Years 2017 and 2015

B. Years 2016 and 2018

C. Years 2018 and 2015

D. Years 2016 and 2017

Marks:1

Ans

From the given bar graph, we find that the number of players enrolled in years 2015, 2016, 2017 and 2018 are 30, 40, 50 and 60 respectively.

Given ratio = 2 : 3 = 40 : 60

Required years are 2016 and 2018.

Q.2 The following pictograph shows the number of varieties of apples stored in a supermarket. The total number of apples stored in the supermarket is:

A. 150

B. 100

C. 50

D. 16

Marks:1

Ans

150

The pictograph shows 14 full and 2 half apples.
Thus, the total number of apples stored in the supermarket
= (14 x 10) + (2 x 5) = 140 + 10 = 150 apples

Q.3 The following bar graph shows the number of houses in a village using different types of fuels for cooking.

Which of the following are the two fuels that are used by half of the total houses in the village?

A. LPG and coal

B. wood and coal

C. LPG and kerosene

D. wood and kerosene

Marks:1

Ans

Total houses = 1000
Half of the total houses = 1000/2 = 500
Number of houses that use wood = 250
Number of houses that use kerosene = 250
Number of houses that use wood and kerosene
= 250+250 = 500

No other two fuels are used by half of the total houses in the village.

Q.4 The number of English books sold by a shopkeeper on six consecutive days is shown below:

 Days Monday Tuesday Wednesday Thursday Friday Number of Books Sold 60 55 50 45 30

Draw a bar graph to represent the above information choosing the scale of your choice.

Marks:4

Ans

Q.5 The weights of 25 students of a class are given below, prepare a frequency chart.
44 kg, 46 kg, 39 kg, 41 kg, 45 kg
34 kg, 36 kg, 49 kg, 43 kg, 35 kg
43 kg, 42 kg, 37 kg, 34 kg, 38 kg
40 kg, 42 kg, 45 kg, 46 kg, 47 kg
41 kg, 48 kg, 47 kg, 40 kg, 41 kg

Class Interval Tally Marks Number of Students
30-35 $||$ 2
35-40 $\overline{)||||}$ 5
40-45 $\overline{)||||}\overline{)||||}$ 10
45-50 Marks:2Ans

 Class Interval Tally Marks Number of Students 30-35 $||$ 2 35-40 $\overline{)||||}$ 5 40-45 $\overline{)||||}\overline{)||||}$ 10 45-50 $\overline{)||||}|||$ 8