Pie Chart
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MATHEMATICS Sample test papers with hints Class-X (CBSE) MATHEMATICS (PIE CHART) Pie Chart: -pie chart represent is a pictorial representation of numerical data as a circular diagram with relative values represented by non intersecting sectors with the area of sector (or the central angle) being a measure of magnitude of the data. Working Rule:⇒ Obtain the data and find the sum of various component values/frequences. ⇒ Divide each component value by the sum obtained and multiply by 360° to obtain the sector angles of the sectors represented by them. ⇒ Draw a circle of appropriate size with a radius of it drawn vertically or horizontally. ⇒ Select the component construct a sector in such a way that its one radius coinsides with the radius drawn in step III and the other radius is below the first radius in clockwise direction. ⇒ Construct other sectors representing other components in clockwise succession. ⇒ Write descriptive label inside each sector. Formula: - Central angle =
Frequency ×360 Total frequency
ο
Or
Central angle of a component = Draw the pie chart for the following? (i)
Value of the component Sum of the component values ×360
ο
Language No. of Stu
Hindi 40
English 12
Marathi 9
Tamil 7
Bengali 4
Tota 72
(ii) Subject No. of stu
Hindi 45
English 60
Marathi 20
Tamil 30
Bengali 25
Tota 180
(iii) Subject Marks. Obt
Hindi 60
English 90
Marathi 75
Tamil 50
Bengali 85
Tota 360
Q.1 In one day the sales (in rupees) of different items of a baker’s shop are given below. Ordinary bread Rs. 260 Fruit bread Rs. 40 Cakes Rs. 100 Biscuits Rs. 60 Others Rs. 20 Draw a pie chart representing the above data. Q.3 The sales of a store on a particular day from diff. Heads are given below. Heads Woollens Clothes Sales (in Rs) 40,000 20,000 Represent the data by a pie chart.
Electronics 30,000
Groceries 20,000
Furnit 10,000
Q.4 Draw pie chart. Heads Allocation (in Rs)
Rent 3,000
Wages 12,000
Machines 6,000
Q.5 Presents the information in the form of a pie chart. Categories of workers Cultivators Agricultural labour
% 40 25
Raw material 30,0000
Miscellan 9,000
Industrial workers Commercial workers Others Total
12.5 10 12.5 100.00
Q.6 Following data gives the break up of the cost of production of a book. Printing 30%
Paper 15%
Binding 15%
Advertisement Royalty 20% 10%
Some important formula:1. Value of a component =
central angle of component × sum of the component value 360ο
2. % value of a component =
central angle of the component ×100 360 ο
Miscellane 15%
Frequency ×360 Total frequency
ο
Or
Central angle of a component = Draw the pie chart for the following? (i)
Value of the component Sum of the component values ×360
ο
Language No. of Stu
Hindi 40
English 12
Marathi 9
Tamil 7
Bengali 4
Tota 72
(ii) Subject No. of stu
Hindi 45
English 60
Marathi 20
Tamil 30
Bengali 25
Tota 180
(iii) Subject Marks. Obt
Hindi 60
English 90
Marathi 75
Tamil 50
Bengali 85
Tota 360
Q.1 In one day the sales (in rupees) of different items of a baker’s shop are given below. Ordinary bread Rs. 260 Fruit bread Rs. 40 Cakes Rs. 100 Biscuits Rs. 60 Others Rs. 20 Draw a pie chart representing the above data. Q.3 The sales of a store on a particular day from diff. Heads are given below. Heads Woollens Clothes Sales (in Rs) 40,000 20,000 Represent the data by a pie chart.
Electronics 30,000
Groceries 20,000
Furnit 10,000
Q.4 Draw pie chart. Heads Allocation (in Rs)
Rent 3,000
Wages 12,000
Machines 6,000
Q.5 Presents the information in the form of a pie chart. Categories of workers Cultivators Agricultural labour
% 40 25
Raw material 30,0000
Miscellan 9,000
Industrial workers Commercial workers Others Total
12.5 10 12.5 100.00
Q.6 Following data gives the break up of the cost of production of a book. Printing 30%
Paper 15%
Binding 15%
Advertisement Royalty 20% 10%
Some important formula:1. Value of a component =
central angle of component × sum of the component value 360ο
2. % value of a component =
central angle of the component ×100 360 ο
Miscellane 15%
