**Q : 4 **Number of persons in various age groups in a town is given in the following table.

Age group (in years) |
75 and above | |||||

Number of persons |
2 lakhs | 1 lakh 60 thousands | 1 lakh 20 thousands | 1 lakh 20 thousands | 80 thousands | 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?

Following bar graph represents the above given informatio
(a) The age groups 30 - 44 and 45 - 59 have the same population.
(b) People in the age group 60 - 74 = 80,000
People whare 75 and above = 40,000
Total number of senior citizens in the town = 80,000 + 40,000 = 1,20,000

**Q : 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 were the maximum number of bicycles manufactured?

(b) In which year were the minimum number of bicycles manufactured?

The following bar graph illustrates the above-given data:
(a) In 2002 the maximum number of bicycles were manufactured.
(b) In 1999 the minimum number of bicycles were manufactured.

**Q : 2 **The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below :

Days |
Sunday | Monday | Tuesday | Wednesday | Thursday | Friday |

Number of books sold |
65 | 40 | 30 | 50 | 20 | 70 |

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

Using the above given information the followiing bar graph has been drawn
The scale is 1 unit = 10 books.

**Q : 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?

Reading storybooks is preferred by most of the students other than playing.

**Q : 3 **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) This bar graph shows the marks obtained by Aziz in half-yearly examination in different subjects.
(b) Aziz scored maximum marks in Hindi.
(c) Aziz scored minimum marks in Social Science.
(d) ) Hindi – 80, English – 60, Mathematics – 70, Science – 50 and Social Studies – 40.

**Q : 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 were the maximum number of shirts sold? How many shirts were sold on that day?

(d) On which day were the minimum number of shirts sold?

(e) How many shirts were sold on Thursday?

(a) The bar graph is showing the sale of shirts in a ready-made shop from Monday to Saturday.
(b) 1 unit = 5 shirts.
(c) On Saturday the maximum number of shirts sold. 60 shirts were sold on Saturday.
(d) On Tuesday the minimum number of shirts were sold.
(e) 35 shirts were sold on Thursday.

**Q: 1 ** The bar graph given alongside shows the amount of wheat purchased by government during the year . Read the bar graph and write down your observations. In which year was

(a) the wheat production maximum?

(b) the wheat production minimum?

(a) In 2002 the wheat production maximum.
(b) In 1998 the wheat production minimum.

**Q : 2 **Total number of students of a school in different years is shown in the following table

Years |
Number of students |

1996 | 400 |

1998 | 535 |

2000 | 472 |

2002 | 600 |

2004 | 623 |

B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

B.
The second pictograph is more informative

**Q : 2**** **Total number of students of a school in different years is shown in the following table

Years |
Number of students |

1996 | 400 |

1998 | 535 |

2000 | 427 |

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?

A.
(a) 6 symbols represent the total number of students in the year 2002.
(b)
5 and 7/20 symbols , i.e 5 complete and 1 incomplete represent the total number of students for the year 1998.

**Q : 7 **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?

Villages
Number of Animals = Ten Animals
A
B
C
D
E
(a) 6 symbols represent animals of village E.
(b) Village B has the maximum number of animals.
(c) Village C has more animals.

**Q : 7 **In a village six fruit merchants sold the following number of fruit baskets in a particular season :

Observe this pictograph and answer the following questions :

(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?

(a) Martin has sold the maximum number of baskets.
(b) Number of fruit baskets were sold by Anwar =
(c) Anwar, Martin and Ranjit Singh have sold more than 600 baskets.

**Q : 6 **The sale of electric bulbs on different days of a week is shown below :

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?

(a) The number of bulbs sold on Friday = .
(b) On Sunday the maximum number of bulbs were sold.
(c) On both Wednesday and saturday, 8 bulbs were sold.
(d) On Wednesday and saturday, the minimum number of bulbs (8) were sold.
(e) Total number of bulbs sold in the weekend =
Number of cartons required = 9 + 1 = 10 ( we cannot have fractional number of boxes)

**Q: 5 **The number of girl students in each class of a co-educational middle school is depicted by the pictograph :

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?

(a) Class VIII has the minimum number of girls.
Number of girls in class VIII =
(b) Number of girls in class VI =
Number of girls in class V =
Therefore the number of girls in Class VI is not less than the number of girls in Class V.
(c) Number of girls in class VII =

**Q: 4**** **Following pictograph shows the number of tractors in five villages.

** **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? ** **

(a) Village D has only three tractors which is the minimum.
(b) Village C has eight tractors which is the maximum.
(c) Village C has eight tractors
Village B has five tractors
Village C has three tractors more than village B.
(d) The total number of tractors in all the villages = 6 + 5 + 8 + 3 + 6 = 28.

**Q : 3**** **Catherine threw a dice 40 times and noted the number appearing each time as shown below :

1 | 3 | 5 | 6 | 6 | 3 | 5 | 4 | 1 | 6 |

2 | 5 | 3 | 4 | 6 | 1 | 5 | 5 | 6 | 1 |

1 | 2 | 2 | 3 | 5 | 2 | 4 | 5 | 5 | 6 |

5 | 1 | 6 | 2 | 3 | 5 | 2 | 4 | 1 | 5 |

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.

Number shown
by the dice
Tally Marks
Number of Times
1
7
2
6
3
5
4
4
5
11
6
7
Total
40
(a) The number that appeared the minimum number of times is 4. ( 4 times)
(b) The number that appeared the maximum number of times is 5. ( 11 times)
(c) 1 and 6 both appeared 7 times.

**Q : 2** 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, Ladoo, 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?

(a)
Sweets
Tally Marks
Number of
Students
Ladoo
11
Barfi
3
Jalebi
7
Rasgulla
9
Total
30
(b) Ladoo is preffered by the maximum number of students, 11 students prefer.

**Q : 1**** ** 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?

Marks
Obtained
Tally Marks
Number of
Students
1
2
2
3
3
3
4
7
5
6
6
7
7
5
8
4
9
3
Total
40
(a) Number of students who obtained marks equal to or more than 7 = 5 + 4 + 3 = 12
(b) Number of students who students obtained marks below 4 = 3 + 3 + 2 = 8

**6.** Find the probabilities of the events given in Question 2.

2. When a die is thrown, list the outcomes of an event of getting

(i) (a) a prime number

(b) not a prime number.

(ii) (a) a number greater than 5

(b) a number not greater than 5.

Total outcomes = 6
6.(i) (a) prime numbers = 2,3,5 = 3 numbers
probability of prime number
(b) non prime numbers = 1,4,6 = 3 numbers
probability of non prime number
(ii) (a) number greater than 5 = 6 = 1 number only
probability of getting number greater than 5
(b) number not greater than 5 = 1,2,3,4,5 = 5...

**5.** If you have a spinning wheel with green sectors, blue sector and red sector, what is the probability of getting a green sector? What is the probability of getting a non blue sector?

Total sectors = 5
the probability of getting a green sector
Non blue sector = 5-1 = 4
probability of getting a non blue sector

**4. Numbers 1 to 10 are written on ten separate slips (one number on one slip), kept in a box and mixed well. One slip is chosen from the box without looking into it. What is the probability of .**

**(i) **getting a number ?

**(ii)** getting a number less than ?

**(iii)** getting a number greater than ?

**(iv)** getting a 1-digit number?

(i) the probability of getting a number
(ii) the numbers less than 6 are: 1,2,3,4,5=5 numbers.
the probability of getting a number less than
(iii) the numbers greater than 6 are: 7,8,9,10=4 numbers.
the probability of getting a number greater than
(iv) 1 digit numbers = 1,2,3,4,5,6,7,8,9 = 9 numbers
the probability of getting a 1 digit number

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