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Two hikers start from base camp P. Hiker X walks 6 km on a bearing of 000° (North) to point A. Hiker Y walks 8 km on a bearing of 090° (East) to point B. (a) Find the actual distance between A and B. (b) Find the map distance between A and B on a map drawn to a scale of 1 cm : 2 km.
World consumption of energy is given below:
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Natural gas – 20 %
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Nuclear – 5 %
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Coal – 25 %
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Hydroelectric – 10 %
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Oil – 40 %
Represent the above data in a pie chart.
Represent the following data in a pie chart. Monthly expenditure of a family.
| Item | Education | House rent | Food | Others |
| Amount (Rs) | 8000 | 4000 | 10000 | 14000 |
Mr. Limbu’s spends Rs 10,800 in a month. His monthly expenditure on different headings are given below:
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Food – Rs 2,400
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Education – Rs 3,600
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Rent – Rs 4,200
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Miscellaneous – Rs 600
Show the above data in a pie chart.
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The monthly budget of a family is given below.
Food – Rs 2100
Clothing – Rs 3300
Miscellaneous – Rs 2250
Saving – Rs 3150
Represent the above data in a pie chart.
The given pie-chart shows the income of a family from three different sources. Answer the following questions.
(Pie Chart Data: Farming = 180°, Business = 120°, Services = 60°)
a) How many degrees represent the total income of the family?
b) From which source does the family have maximum income?
c) From which source does the family have minimum income?
d) If the annual income of the family is Rs 4,50,000, how much is the income from farming?
The table given below shows the number of students of a school from class 4 to 8. Represent the data in a pie chart.
| Class | IV | V | VI | VII | VIII |
| No. of students | 50 | 45 | 40 | 35 | 10 |
If A = {x : x is a letter of word ‘bowl’}, B = {x : x is a letter of word ‘elbow’} and U = {x : x is a letter of word ‘below’},
(a) Write the elements of sets A and B by the listing method. [1U]
(b) Show the relationship of U, A and B in the Venn diagram. [1A]
(c) Construct the subsets of set A. [2U]
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If A = {x : x is a letter of word ‘flow’}, B = {x : x is a letter of word ‘flew’} and U = {x : x is a letter of word ‘flower’},
(a) Write the elements of sets A and B by the listing method. [1U]
(b) Show the relationship of U, A and B in the Venn diagram. [1A]
(c) Construct the subsets of set A. [2U]
If U = {x : x is a natural number, x <= 20}, P = {x : x is a multiple of 4 less than 20} and Q = {x : x is a multiple of 5 less than 20},
(a) Write the elements of sets P and Q by the listing method. [1U]
(b) Show the relationship of U, P and Q in the Venn diagram. [1A]
(c) Construct the subsets of set Q. [2U]
