Subjectwise Marks Obtained by a Student in an Examination Are Given Below - Algebra


Subjectwise marks obtained by a student in an examination are given below

Subject Marks
Marathi 85
Hindi 85
Science 90
Mathematics 100
Total 360

Draw pie diagram



Central angle for each subject is computed in the following table:

Subject Marks Measure of central angle
Marathi 85


Hindi 85


Science 90


Mathematics 100


Total 360 360°



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2015-2016 (March) Set C

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Area under different crops in a certain village is given below. Represent it by a pie diagram :

Corps  Area (in Hectares)
Jowar 80
Wheat 20
Sugarcane 60
Vegetables 20

The sales of salesmen in a week are given in the pie diagram. Study the diagram and answer the following questions. If the total sale due to salesmen A is Rs. 18,000, then

a) Find the total sale.
b) Find the sale of each salesman.
c) Find the salesman with the highest sale.
d) Find the difference between the highest sale and the lowest sale.

The following pie diagram represents the sectorwise loan amount in crores of rupees distributed by a bank. From the information answer the following questions :

a. If the dairy sector receives `20 crores, then find the total loan disbursed.
b. Find the loan amount for agriculture sector and also for industrial sector.
c. How much additional amount did industrial sector receive than agriculture sector?

Draw a pie chart showing the following information. The table shows the colours preferred by a group of people.

Colours Number of people
Blue 18
Green 9
Red 6
Yellow 3
Total 36

The age group and number of persons, who donated blood in a blood donation camp is given below. Draw a pie diagram from it.
Age group(Yrs) 20 - 25 25 - 30 30 - 35 35 -40
No. of persons 80 60 35 25

The annual investments of a family are shown in the adjacent pie diagram. Answer the following questions based on it.

(1) If the investment in shares is ₹ 2000, find the total investment.
(2) How much amount is deposited in the bank?
(3) How much more money is invested in immovable property than in mutual fund?
(4) How much amount is invested in post?

Find the correct answer from the alternatives given.
Different expenditures incurred on the construction of a building were shown by a pie diagram. The expenditure Rs 45,000 on cement was shown by a sector of central angle of 75°. What was the total expenditure of the construction ?


In one day the sales (in rupees) of different items of a baker's shop are given below:

Items Ordinary bread Fruit bread Cakes and Pastries Biscuits Others Total
Sales (in Rs) 260 40 100 60 20 480

Draw a pie-chart representing the above sales.

The following table shows the expenditure incurred by a publisher in publishing a book:

Items Paper Printing Binding Advertising Miscellaneous
Expenditure (in%) 35% 20% 10% 5% 30%

Present the above data in the form of a pie-chart.

Percentage of the different products of a village in a particular district are given below. Draw a pie-chart representing this information.

Items Wheat Pulses Jwar Grounnuts Vegetables Total
% `125/3` `125/6` `25/2` `50/3` `25/3` 100


Draw a pie-diagram of the areas of continents of the world given in the following table:

Continents Asia U.S.S.R Africa Europe Noth America South America Australia
(in million sq. km)
26.9 20.5 30.3 4.9 24.3 17.9 8.5

Represent the following data by a pie-diagram:

Items of expenditure Expenditure
Family A Family B
Food 4000 6400
Clothing 2500 480
Rent 1500 3200
Education 400 1000
Miscellaneous 1600 600
Total 10000 16000

Following data gives the break up of the cost of production of a book:

Printing Paper Binding charges Advertisement Royalty Miscellaneous
30% 15% 15% 20% 10% 15%

Draw a pie- diagram depicting the above information.

Draw a pie-diagram representing the relative frequencies (expressed as percentage) of the eight classes as given below:
12.6, 18.2, 17.5, 20.3, 2.8, 4.2, 9.8, 14.7

The pie-chart given in the following represents the expenditure on different items in constructing a flat in Delhi. If the expenditure incurred on cement is Rs 112500, find the following:

(i) Total cost of the flat.
(ii) Expenditure incurred on labour.

The pie diagram in figure shows the proportions of different workers in a town. Answer the following question  with its help.

What is the percentage of workers in production ?

Observe the adjacent pie diagram. It shows the percentages of number of vehicles passing a signal in a town between 8 am and 10 am
(1) Find the central angle for each type of vehicle.
(2) If the number of two-wheelers is 1200, find the number of all vehicles.

On an environment day, students in a school planted 120 trees under plantation project. The information regarding the project is shown in the following table. Show it by a pie diagram. 

Tree name
Karanj Behada Arjun Bakul Kadunimb
No. of trees 20 28 24 22 26

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the central angle for labour expenditure.

The following diagram represents expenditure on different items in constructing a building.
If the total construction cost of a building is Rs.540000, answer the following questions :

Find the expenditure on labour.

The number of hours, spent by a school boy in different activities in a day is given below : 

Activity Sleep School Play Homework Others Total
Number of Hours 7 7 2 4 4 24

Represent the above information using a pie diagram.

The marks obtained by a student in an examination are given below:

Subject Marks
Marathi 85
Hindi 80
English 95
Mathematics 100
Total 360

Represent the data using pie diagram.

Write down the percentage of content in human body from the given pie-chart.

The number of varieties of ice creams in an ice cream parlour is given below as a pie-chart.

(i) How many varieties of Ice creams are there?

(ii) Find the number of Vanilla Ice creams ______.

(iii) Find the total number of Chocolate and Pista Ice cream _______.

(iv) Find the total number of Ice creams _______.

Absentees record of a class of 30 children is given in a graph.

(i) In which month there are more absentees?
(ii) In which month there are less absentees?

Draw a pie-chart for the favourite sweets of your family members

Collect information about the favorite pets of your classmates. Draw bar-graph and pie-chart for the same data

Age group
(in years)
No. of Persons Measure of central angle
20 – 25 80 `square/200 xx 360^circ = square`
25 – 30 60 `60/200 xx 360^circ = square`
30 – 35 35 `35/200 xx square = 63^circ`
35 – 40 25 `25/200 xx 360^circ = square`
Total 200 `square`

In the EVS period, the teacher asked children whether they help their parents at home. There were different answers. Children named the work in which they help their parents the most. The teacher collected their answers and made a table.

Help most in housework Number of children
Going to the market 47
Washing utensils 15
Washing clothes 3
Marking serving food 25
Cleaning the house  10
Total children who said they help their parents  

Now you can fill the chapati chart to show the numbers given in the table.

Look and find out

Children who help in making or serving food are

A geometric representation showing the relationship between a whole and its parts is a ______.

Data collected in a survey shows that 40% of the buyers are interested in buying a particular brand of toothpaste. The central angle of the sector of the pie chart representing this information is ______.

Data represented using circles is known as ______.

In a pie chart a whole circle is divided into sectors.

Given below is a pie chart showing the time spend by a group of 350 children in different games. Observe it and answer the questions that follow:

  1. How many children spend at least one hour in playing games?
  2. How many children spend more than 2 hours in playing games?
  3. How many children spend 3 or lesser hours in playing games?
  4. Which is greater — number of children who spend 2 hours or more per day or number of children who play for less than one hour?

The pie chart on the right shows the result of a survey carried out to find the modes of travel used by the children to go to school. Study the pie chart and answer the questions that follow.

  1. What is the most common mode of transport?
  2. What fraction of children travel by car?
  3. If 18 children travel by car, how many children took part in the survey?
  4. How many children use taxi to travel to school?
  5. By which two modes of transport are equal number of children travelling?

The following data represents the different number of animals in a zoo. Prepare a pie chart for the given data.

Animals Number of animals
Deer 42
Elephant 15
Giraffe 26
Reptiles 24
Tiger 13

In a district, the number of branches of different banks is given below:

Bank State Bank
of India
of Baroda
National Bank
Canara Bank
Number of Branches 30 17 15 10

Draw a pie chart for this data.


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