Holiday Home Work of class-9th

Transcription

Holiday Home Work of class-9th
MANAV RACHNA INTERNATIONAL SCHOOL
EROS GARDEN CHARMWOOD FARIDABAD
Session 2015-16
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HOLIDAY HOMEWORK GRADE 9
INSTRUCTIONS
1. Read the novel “Wise and Otherwise: A Salute to Life” by Sudha Murthy
2. All work has to be done on coloured A4 sized sheets .
3.The sheets need to spiral bound separately for different subjects.
4. All work will be assessed as Individual FA in each subject.More weightage will be given to the content and research
work rather than the decorative aspect.
5.All work should be self created and handwritten.No copy pasting from the internet or outsourced work will be
accepted.
Wise and Otherwise: A Salute to Life is a collection of fifty one short stories based on the real life
experiences of Mrs Sudha Murthy. As the Chairperson of the Infosys Foundation, she has come across many
types of people in her office as well as while travelling during the course of her work. Each story covers a facet
of human nature and has something to tell. Her dedication states “For the „shirtless people of India‟ who have
taught me so much about my country”.
ENGLISH
Q 1 From incredible examples of generosity to the meanest acts one can expect from men and women, Sudha
Murthy records everything with wry humour and a directness that touches the heart. Which of these fifty one
stories touches you the most? Analyse the story giving reasons for your answer.
Q 2.Choose any one story and write it in the form of a script for a play to be staged in class assembly.
Q 3.Choose any one character who inspires you the most and write a diary entry imagining yourself to be
him/her expressing your feelings about the world and people around you.
Q4.After reading the book we get a fair idea of how disaster changes the lives of people. Choose any one story
related to a natural disaster and write a sequel of it using your imagination to the fullest describing the values
learnt due to the misfortune ,which helped the characters to be more humane in this world of artificiality and
deception.
SCIENCE
Instructions:
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Read the novel “Wise and Otherwise: A Salute to Life” by Sudha Murthy
Answer the following questions after reading the book:
Draw the graphic organizers in questions 1 and 2 on A4 size coloured sheets and fill up the answers.
Submit your sheets in a beautifully handmade folder.
Question/Answers:
Q1 State the unhygienic living conditions that the author observed when she went to the colony inhabited by people
suffering from leprosy. Also think of the health problems that these living conditions can lead to.
Unhygienic living condition
Health problem
Q2. Mention any three different relief works carried out in an earthquake struck area? Choose instances from the book
to support your answer.
Q3. (a) Make a pamphlet with instructions that should be followed in case of an earthquake in school. Draw pictures and
diagrams.
(b) Make a hand-out with important numbers that can be used during emergency
ग्रीष्मकालीन गृहकायय
महत्त्वपूर्य बिंदु : i. समस्त प्रश्नों के उत्तर देना अननवायय है |
ii. कायय की पूर्यता, स्वच्छता, सुुंदरता के आधार पर एवुं एकल क्रियाकलाप- 2 के अुंतगयत सभी
प्रश्नो को अुंक क्रदए जाएँगे अुंक क्रदए जाएँगे |
iii. सभी प्रश्न स्िै प िंुक में करने हैं।
1. नेपाल में आए नवनाशकारी भूकुंप पर ननम्ननलनित निंन्दुओं के माध्यम से एक पररयोजना कायय का ननमायर् करें |
नवनाशकारी भूकुंप
1. भूकुंप क्यों आता है
2. भूकुंप के प्रभाव
3. भूकुंप से प्रभानवत नेपाल के क्षेत्रों की जानकारी
4. भूकुंप से िंचाव की तैयारी
5. भूकुंप के समय कै से रहा जाए
6. भारतीय आपदा प्रिंुंधन समीनतयों का वर्यन
2. नेपाल में आए भूकुंप के नवषय पर दो नमत्रों में हुए सुंवाद को नलनिए |
Subject
: MATHEMATICS:
General Instructions:
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Submit your work in a file/folder with a cover page. Use the perforated sheets or ruled sheets.
Present your work neatly.
The work should be hand written.
Work out the rough calculation on the right side of each sheet (ruled/perforated) as per requirement.

1. . Express 0.585 in the form
p
.
q
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2. Represent 8 on number line.
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3. Find three different irrational numbers between the rational numbers 2/7 and 9/16.
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4. Arrange 3 2, 4 3, 3 4 in descending order.
73 5

73 5
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5. Simplify: 3  5
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6. Rationalise the denominator of
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7. Rationalise the denominator of
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8. Given
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9. If x= 9  4 5 , find the value of
2 = 1.414 and
3 5
3
15  6 5
3
3 2 5
3 =1.732, find the value of
x

10. If x= 6  35 , find the value of x2 

11. Express
2 2 3 3
2 2  3
1
x
1
x2
with rational denominator.
1
2 3
.
1
1
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12. If x=
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13. If
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14. If x 
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15. Find the value of x if 5x 2  32x 3  135 .
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16. Find five rational numbers between
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3
3
3
17 Simplify: 6 54  2 16  10 128
18. Prove that 2 is an irrational number.
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19. Find three different irrational numbers between
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20. Simplify: 12 18  6 20  6 147  3 50  8 45
21. Visualise 2.665 on the number line, using successive magnification.
22. Find the value of 0.23 0.22 .
23. Evaluate: 255 260 297 218 .
24. If a=2 and b=3, then find the values of each of the following:

74 3
5 3
5 3
(i) aa
and y=
, then find the value of x3 +y3.
74 3
 a  b 15 , find a and b where a and b are rational numbers.
3 2
3 2
bb
(ii) ab
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25. Simplify: ( x)
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26. Simplify:
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27. Simplify:
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28. Simplify:
3 2
and y=
2/3
, then show that x2 +xy + y2 =99.
3 2
ba
y4
(iii)
1
a
xy
1/2
7
8
and .
8
9
1
b
5
7
.
and
8
11
a
43 2
x
2
1
5
3
3
3
2
5
2
.
.
16x2n
16x2n
1
2
4x2n
2x2n
xa(b c)
xb
xb(a c)
xa
2
.
c
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29. Show that
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30. If
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31. Find the value of x if 2x 7 x5x 4 1250.
32. If (x – 1)3 = 8, What is the value of (x+1)2.
33. If 24 x42 16x , then find the value of x.
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34. If 3x
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35. Find the value of x if
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36. Simplify: (2 5
9n x32 x(3
n/2
3m
3
1
2
)
1.
(27)n
3
x2
9 and 4y 2
1
, prove that m – n = 1.
27
64 , what is the value of
35x x812 x6561
3 2)2 .
32x
37 .
x
.
y
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37. If 10
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38. Find the values of a and b, if
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39. Find the values of a and b, if
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40. Simplify:
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40. Simplify:
3.162 , 5
2.236 and
5
2
5
2
5
2
5
2
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41. Simplify:
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42. If x= 2
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43. If
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44. If
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45. If
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46. If
5
3
7
4 3
2
47a
5
2
.
3 b.
a
2 3
10
b 6.
.
2
5
2
5
2
2
5
2
1
3
1.414 , then find the value of
3
3 2
5
5
2
.
3
3
2
5
2
1
3 , find the value of x3
.
.
x3
1
1
.
x
11 , find the value of x2
x
x2
1
1
1
and x4
.
x
5 , find the values of x2
2
x
x
x4
1
1
x2
79 , find the values of x
.
2
x
x
9x2 25y2 181 and xy = –6, find the value of 3x + 5y.
47. If 3x – 7y= 10 and xy = –1, find the value of 9x2 + 49y2.
48. Evaluate by using identities: (i) (399)2
x
y
y
z
z
x
(ii) 991 x 1009.
2
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49. Write in expanded form:
.
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50. Simplify: (a+b+c)2 – (a – b +c)2.
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53. If x
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54. If x4
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55. Find the value of 27x3 + 8y3, if 3x + 2y =14 and xy = 8.
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58. Find the product:
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59. If a + b =8 and ab = 6, find the value of (a 2 – ab +b2).
51. If a + b+ c= 9 and ab + bc + ca =23, find the value of a 2 + b2 + c2.
52. If a2 + b2 + c2 = 250 and ab + bc + ca =3, find a + b + c.
1
x
3
1
x
4
2 2 , find the value of x3
194 , find x
1
, x2
x
1
2
x
1
x3
.
and x3
56. Evaluate by using identities: (i) 1113 – 893
1
x3
.
(ii) (598)3.
57. Evaluate by using identities: 1043 + 963.
2x
5
3y
7
9y2
49
4x2
25
6xy
.
35
60. If a – b =6 and ab =20, find the value of a3 – b3.
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61. Find the product by using identities: ( 2x – y + 3z)(4x2 + y2 + 9z2 + 2xy + 3yz –
6xz).
62. If a + b + c = 8 and ab + bc + ca = 20, find the value of a 3 + b3 + c3 – 3abc.
63. If a + b + c = 15, and a2 + b2 + c2 = 83, find the value of a3 + b3 + c3 – 3abc.
1
2
3
1
3
3
5
6
3
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64. Evaluate by using identity:

65. If x
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66. Find the value of (a – b)3 + (b – c )3 + ( c – a )3.
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67. Simplify:
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68. Simplify: (a + b)(a – b)(a2 – ab + b2)(a2 + ab + b2).
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81. If x =

69.
70.
71.
72.
73.
74.
75.
76.
77.
78.
79.
80.
1
x
3 , then find the value of x6
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
Factorize:
(a2
b2 )3
(a
b)3
(b2
(b
c2 )3
c)3
(c2
(c
1
x6
a2 )3
a)3
.
.
x8 – y8.
a12x4 – a4x12.
2(x + y)2 – 9(x + y) – 5.
7(x – 2y)2 – 25(x – 2y) + 12.
a2 + 4b2 – 4ab – 4c2.
4(x – y)2 – 12(x – y)(x + y) + 9(x + y)2.
(x + 2)(x2 + 25) – 10x2 – 20x.
x(x – 2)(x – 4) + 4x – 8.
x3 – 2x2y + 3xy2 – 6y3.
32a3 + 108b3.
a3 + 3a2b + 3ab2 + b3 – 8.
(a + b)3 – 8(a – b)3.
1
is a zero of the polynomial p(x) = 8x3 – ax2 – x + 2, find the value of a.
2

82. If x = 0 and x = –1 are the roots of the polynomial p(x)=2x3 – 3x2 + ax + b, find
the value of a and b.
83. Find the integral roots of the polynomial p(x)= x3 + 6x2 + 11x + 6.

84. Find the remainder when f(x) = 3x4

85. If the polynomials 2x3 + ax2 + 3x – 5 and x3 + x2 – 4x + a leave the same remainder
when divided by (x – 2), find the value of a.
86. The polynomials ax3 + 3x2 – 3 and 2x3 – 5x + a when divided by (x – 4) leave the
remainders R1 and R2 respectively. Find the value of ‘a’, if 2R1 – R2 = 0.
87. Check whether the polynomial f(x) = 4x3 + 4x2 – x – 1 is a multiple of (2x + 1).
88. Find the values of a and b so that (x + 1) and (x – 1) are factors of x4 + ax3 – 3x2 +
2x + b.
89. What must be added to x3 – 3x2 – 12x + 19 so that the result is exactly divisible by
x2 + x – 6.
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
2x3
x2
3
x
9
2
is divided by g(x) = x
27
2
.
3
90. For what value of ‘a’ is (x – 5) a factor of x3 – 3x2 + ax – 10?
91. Find the values of a and b, if x2 – 4 is a factor of ax4 + 2x3 – 3x2 + bx – 4.
92. What must be subtracted to x3 – 6x2 – 15x + 80 so that the result is exactly divisible
by
sx2 + x – 12.
93. Find the value of ‘a’ if (x – a) is a factor of p(x) = x6 – ax5 + x4 – ax3 + 3x – a + 2.
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94. Using factor theorem, factorize x3 + 13x2 + 32x + 20.
95. Factorize P(x) = 4x3 + 20x2 + 33x + 18, given that (2x + 3) is a factor of P(x).
96. If P(x) = x4 – 2x3 + 3x2 – ax – b when divided by (x – 1), the remainder is 6, then
find the value of a + b.
97. Let ∆ be the area of a triangle. Find the area of a triangle whose each side is twice
the side of the given triangle.
98. Find the area and perimeter of the quadrilateral ABCD in which AB = 17cm, AD =
9cm,
CD = 12cm, ACB 900 and AC = 15cm.
99. Two parallel sides of a trapezium are 60cm and 77cm and other sides are 25cm and
26cm. Find the area of the trapezium.
100.Renuka has a triangular field with sides 240m, 200m, 360m, where she grew wheat.
In another triangular field with sides 240m, 320m, 400m adjacent to the previous field,
she wanted to grow potatoes and onions. She divided the field in two parts by joining the
mid-point of the longest side to the opposite vertex and grew potatoes in one part and
onions in the other part. How much area (in hectares) has been used for wheat, potatoes
and onions?
( 1hectare = 10000m2 )
SUBJECT: SOCIAL SCIENCE
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a.
b.
c.
d.
e.
f.
Students will prepare a project on the following topics.
Project should be hand written
Appropriate images, maps and graphical representation are to be provided
Roll No. 1 – 4 will be working on Natural disaster – Earthquakes, with special emphasis on the
recent Nepal earthquake
Roll no 5– 8 will be working on Natural disaster – volcanic eruption
Roll no 9 – 12 will be working on Natural disaster – Floods
Roll no 13 – 16 will be working on Natural disaster – Tornadoes & other Tropical Storms
Roll no 17 – 20 will be working on Natural disaster – Tsunami
Roll no 21 – 24 will be working on Man -made disaster – Nuclear Accidents
Roll no 25 – 28 will be working on Man -made disaster – Chemical & Industrial Accidents
Roll no 29 – 34 will be working on Man -made disaster – Oil Spills
Each project to cover the following aspects.
Outline of the disaster – preferably a case study
Disaster preparedness - Role of government agencies in forecasting a natural disaster and
evacuation
Impact of the Disaster – statistics of loss of life and property etc.
Disaster response - Role of government and NGOs in proving relief after a natural disaster strikes
Rehabilitation – of the affected people and rebuilding of their lives and making a fresh start
Disaster prevention and mitigation – better warning system, evacuation plan etc.
 Project should not exceed 15 – 20 pages.
 Project should be spiral bound
 To be brought to school on the day the school reopens