Table of contents  
Exercise 9.1  
Exercise 9.2 (Old NCERT)  
Exercise 9.3 (Old NCERT)  
Exercise 9.4 (Old NCERT) 
Q1. In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.
(a) Find how many students obtained marks equal to or more than 7.
(b) How many students obtained marks below 4?
Ans:
Marks  Tally Marks  No. 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 
(a) The students who got marks equal to or more than 7 are the students who got marks 7, 8 or 9. Therefore the number of these students are:
= 5 + 4 + 3
= 12
(b) The students who got marks below 4 are the students who got marks 1,2 or 3. Therefore the number of these students are:
= 2 + 3 + 3
= 8
Q2. Following is the choice of sweets of 30 students of Class VI.
Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Laddo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.
(a) Arrange the names of sweets in a table using tally marks.
(b) Which sweet is preferred by most of the students?
Ans:
(a) Table using tally marks:
Sweets  Tally Marks  No. of students 
Ladoo  11  
Barfl  3  
jalebi  7  
Rasgulla  9  
 30 
(b) The sweet which is preferred by most of the students is Ladoo. As out of 30, 11 students prefer eating ladoo.
Q3. Catherine threw a dice 40 times and noted the number appearing each time as shown below:
Make a table and enter the data using tally marks. Find the number that appeared.
(a) The minimum number of times
(b) The maximum number of times
(c) Find those numbers that appear an equal number of times.
Ans:
Numbers  Tally Marks  How many times? 
1  7  
2  6  
3  5  
4  4  
5  11  
6  7 
(a) The number that occurred for minimum number of times is 4
(b) The number that occurred for maximum number of times is 5
(c) 1 and 6 are the numbers that appear an equal number of times.
Q4. Following pictograph shows the number of tractors in five villages.
Village  Number of tractors = 1 Tractor 
Village A  
Village B  
Village C  
Village D  
Village E 
Observe the pictograph and answer the following questions:
(i) Which village has the minimum number of tractors?
(ii) Which village has the maximum number of tractors?
(iii) How many more tractors village C has as compared to village B.
(iv) What is the total number of tractors in all the five villages?
Ans:
(i) Village D has the minimum number of tractors.
(ii) Village C has the maximum number of tractors.
(iii) Village B has 5 tractors
Village C has 8 tractors
= 8  5
= 3 Tractors
Village C has 3 more tractors as compared to village B.
(iv) Total number of tractors in all the villages = 6 + 5 + 8 + 3 + 6 = 28 tractors
Q5. The number of girl students in each class of a coeducational middle school is depicted by the pictograph:
Class  Number of girl students  4 girls 
I  
II  
III  
IV 
Observe this pictograph and answer the following questions:
(a) Which class has the minimum number of girl students?
(b) Is the number of girls in Class VI less than the number of girls in Class V?
(c) How many girls are there in Class VII?
Ans: (a) Class VIII has only 6 girls. Therefore, the minimum number of girl students are in Class VIII.
(b) No. Class V has 10 girl students and Class VI has 16 girl students. Therefore, the number of girls in Class VI are more than the number of girls in Class V.
(c) The number of girls in Class VII are 12.
Q6. The sale of electric bulbs on different days of a week is shown below:
Day  Number of electric bulbs  2 bulbs 
Monday  
Tuesday  
Wednesday  
Thursday  
Friday  
Saturday  
Sunday 
Observe the pictograph and answer the following questions:
(a) How many bulbs were sold on Friday?
(b) On which day were the maximum number of bulbs sold?
(c) On which of the days same number of bulbs were sold?
(d) On which of the days minimum number of bulbs were sold?
(e) If one big carton can hold 9 bulbs. How many cartons were needed in the given week?
Ans:
(a) Number of bulbs sold on Friday are 14.
(b) Maximum number of bulbs (18) were sold on Sunday.
(c) On Wednesday and Saturday 8 bulbs are sold. Hence equal number of bulbs were sold on Wednesday and Saturday.
(d) The minimum number of bulbs (8) were sold on Wednesday and Saturday.
(e) The total number of bulbs sold in the given week were 86. So the number of carton required to hold 86 bulb = 86/9 ≈10. Hence, 10 cartons required to hold the bulbs.
Q7. In a village, six fruit merchants sold the following number of fruit baskets in a particular season:
Name of fruit merchant  Number of fruit baskets 100 fruit basket s 
Rahim  
Lakhanpal  
Anwar  
Martin  
Ranjit Singh  
Joseph 
Observe this pictograph and answer the following question:
(a) Which merchant sold the maximum number of baskets?
(b) How many fruit baskets were sold by Anwar?
(c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?
Ans:
(a) Martin sold the maximum number of fruit baskets i.e. 950.
(b) Anwar sold 700 fruit basket
(c) Anwar, Martin, Ranjit Singh are the merchants who sold more than 600 fruit baskets. Hence, these are the merchants who are planning to buy a godown for the next season.
Question 1)
Total number of animals in five villages are as follows:
Village A : 80
Village B : 120
Village C : 90
Village D : 40
Village E : 60
Prepare a pictograph of these animals using one symbol to represent 10 animals and answer the following questions:
(a) How many symbols represent animals of village E?
(b) Which village has the maximum number of animals?
(c) Which village has more animals: village A or village C?
Answer 1:
Village  Number of animals =10 animals 
Village A  
Village B  
Village C  
Village D  
Village E 
(a) There are 60 animals in village E. So 6 symbols represent animals of village E.
(b) Village B has 120 animals which is the maximum number among these villages.
(c) Village A has 80 animals and village C has 90 animals. Clearly, Village C has more animals than Village A.
Question 2)
Total number of students of a school in different years is shown in the following table
Year  Number of students 
1996  400 
1998  535 
2000  472 
2002  600 
2004  623 
A. Prepare a pictograph of students using one symbol to represent 100 students and answer the following questions:
(a) How many symbols represent total number of students in the year 2002?
(b) How many symbols represent total number of students for the year 1998?
B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?
Answer 2:
Years  100 students = 
1996  
1998  
2000  
2002  
2004 
(a) Total number of students in the year 2002 represents 6 symbols.
(b) Total number of students in the year 1998 represents 5 complete and 1 incomplete symbols.
B.
Years  50 students = 
1996  
1998  
2000  
2002  
2004 
Pictograph B is more informative than A.
Question 1)
The bar graph given alongside shows the amount of wheat purchased by government during the year 19982002.
Read the bar graph and write down your observations. In which year was
(a) the wheat production maximum?
(b) the wheat production minimum?
Answer 1:
(a) In 2002, production of wheat was maximum.
(b) In 1998, production of wheat was minimum.
Question 2)
Observe this bar graph which is showing the sale of shirts in a ready made shop from Monday to Saturday.
Now answer the following questions:
(a) What information does the above bar graph give?
(b) What is the scale chosen on the horizontal line representing number of shirts?
(c) On which day was the maximum number of shirts sold? How many shirts were sold on that day?
(d) On which day was the minimum number shirts sold?
(e) How many shirts were sold on Thursday?
Answer 2:
(a) The bar graph shows the sale of shirt in a readymade shop from Monday to Saturday.
(b) 1 unit = 5 shirts is the scale on the horizontal line representing number of shirts.
(c) On Saturday maximum number of shirts i.e. 60 shirts were sold.
(d) On Tuesday minimum number of shirts i.e. 10 were sold.
(e) On Tuesday 35 shirts were sold.
Question 3)
Observe this bar graph which shows the marks obtained by Aziz in halfyearly 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.
Answer 3:
(a) The bar graph shows the marks obtained by Aziz in half yearly examination in different subjects.
(b) Aziz scored maximum marks in Hindi i.e. 80 marks.
(c) Aziz scored minimum marks in Social Studies i.e. 40 marks.
(d) Hindi 80, English 60, Mathematics 70, Science 50, Social Studies 40.
Question 1)
A survey of 120 school students was done to find which activity they prefer to do in their free time.
Preferred activity  Number of students 
Playing  45 
Reading story books  30 
Watching TV  20 
Listening to music  10 
Painting  15 
Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students. Which activity is preferred by most of the students other than playing?
Answer 1:
Reading story books is the activity preferred by most of the students other than playing.
Question 2)
The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:
Days  Number of books sold 
Sunday  65 
Monday  40 
Tuesday  30 
Wednesday  50 
Thursday  20 
Friday  70 
Draw a bar graph to represent the above information choosing the scale of your choice.
Answer 2:
Question 3)
Following table shows the number of bicycles manufactured in a factory during the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice.
Years  Number of bicycles manufactured 
1998  800 
1999  600 
2000  900 
2001  1100 
2002  1200 
(a) In which year was the maximum number of bicycles manufactured?
(b) In which year was the minimum number of bicycles manufactured?
Answer 3:
(a) The maximum number of bicycles were manufactured in 2002.
(b) The minimum number of bicycles were manufactured in 1999.
Question 4)
Number of persons in various age groups in a town is given in the following table.
Age group  1  14  1529  30  44  4559  60 74  75 & above 
Number of persons  2 lakhs  1 lakhs 60 thousands  1 lakh 20 thousands  1 lakh 20 thousands  80  40 Thousands 
Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands)
(a) Which two age groups have same population?
(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?
Answer 4:
(a) Group 30 – 44 and group 45 – 59 have the same population.
(b) Senior citizens are the persons between the age group either from 60  74 or from 75 above. Therefore,
Number of senior citizens in town = 80000 + 40000
= 1 lakh 20 thousand
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