ELITE INTERNATIONAL SCHOOL, JHAJJAR
Class – 9th
Holiday Home Work
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4.
5.
Make a working model of electric motor.
Make a project report on animal cell. Explain its different parts and their functions.
Subject: Science
Make a assignment on Newton’s laws of motion with all possible applications of these laws.
Learn Ch – 1, 2 of physics. Ch- 1,2 of chemistry. Ch-1,2 of biology.
What is solar system? Make a model of solar system and explain which force holds the solar system together.
Subject: Computer
Topic
Description
Chart
Make a chart on basic organization of a computer.
Assignment
Make an assignment on Input and output devices with pictures
Learning Work
Learn types of software and about virus
Subject: Social Science
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2.
3.
Assignment
Assignment
Project
:
:
:
Assess the impart of French Revolution and how it affect the political change in our country.
How does the location of our country helpful for the development?
Collect the data’s about your village locality and its economic system.
Detailed account of the livelihood. What new changes you observed?
Subject: Hindi
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6.
usiky ns[kh lquh vkink dk o.kZu dhft,A
viuh t;iqj ;k=k ds nkSjku gq, vuqHkoksa dks fy[kdj izLrqr dhft,A
izsepan ,oa egknsoh oekZ ds thou ij izkstsDV rS;kj dhft,A ¼10&15 ist½
vkius xzh"ekodk'k esa fo|ky; esa vU; d{kk esa Hkkx fy;kA izfrosnu izLrqr dhft,A
lHkh vaydkj dks mnkgj.k lfgr fy[kdj izR;sd ds vU; ik¡p&ik¡p mnkgj.k fyf[k,A
dchj ds thou ifjp; dk o.kZu djrs gq, mudh lkfgfR;d fo'ks"krk,¡ fyf[k,A Assignment & 10&15 istA
READING AND WRITING
Subject: English
1. Read any one of the following books. Prepare a synopsis of about 200 words and write it on A4 sheets.


Wise and Otherwise by Sudha Murty
How I Taught my Grandmother to read and other stories by Sudha Murty
Read the following book
Three Men in a Boat by Jerome K Jerome(the unabridged form)
2. Read and cut out articles from the newspapers based on various environmental issues. Paste these in the notebooks. Try to coverall the
following topics. Do keep in mind the relevance of the material you collect.
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

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

Ban the plastic bag
Sustainable growth
Water woes
Sustaining the Himalayas
Green India
Energy efficiency
MAIN COURSE BOOK (Work to be done in MCB itself)
Reading for comprehension
Unit 2- Pages 21-29 (Introduction, A1, A2, A3, A4,A5,A6)
Pages 30-31 (B,1 B2)
Read about Amelia Earhart’s life- the factors that inspired her to become an aviator and the difficulties she faced, and the final stages of her life.
Make a project on her life through web chart/ pictures/ drawings/bullet points. A list of the reference books and websites to guide you is given on
page 29 of your MCB. The project should be prepared in your note books.
Prepare the content for the Radio Show that you will be presenting after school reopens. You can refer to Page 73 for ideas. Keep in mind the
points discussed in class.
Subject: Maths
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
Examine, whether -√0.16 𝑖𝑠 𝑎 rational no. or an irrational.
Add (4√5 + 3√7 + √6 𝑎𝑛𝑑 (2√5 + 4√6)
2
1
1
3
Add (3 √7 − 2 √2 + 6√11) 𝑎𝑛𝑑 ( 3 √7 + 2 √2 − √11)
Examine, whether 3.2323-------is a rational no. or an irrational.
Examine, whether 4.404004000-----------is a rational no. or irrational.
Subtract (6√2 + 3√5)𝑎𝑛𝑑 (3√2 − 5√5)
3
2
Simplify (√3 + √2)(3√5 − √6)
87. Find the rational numbers b/w 𝑎𝑛𝑑 .
2/5
3/5
5
3
Simplify: 6 × 6
2
Simplify: (56/7)/(52/3)
88. Find four rational numbers b/w 1 and .
3
If (343)2/x = 49 find x
13
4
89. Convert rational number into decimal.
Simplify: √0.0001
4
-3/4
874
Simplify: (625)
90.
Convert
rational number into decimal.
3
999
If √2𝑥 + 3 = 5 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑥.
𝑝
3
91. Express 0.32 in 𝑓𝑜𝑟𝑚.
√𝑥 2 + 2 = 3 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑓𝑜 𝑥.
𝑞
2𝑟𝑝
𝑝
If ap =bq = cr and b2=ac, then show that q=
92. Express 0.459 in 𝑓𝑜𝑟𝑚.
𝑟+𝑝
1
𝑧
1
𝑦
16. If 2x=3y=12z, then show that = +
2
𝑥
93. Express 23.47 in
17. If 52x-1-25x-1 = 2500, find the value of x.
528 +527 +526
1
𝑥
21. If =
𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑥.
1
𝑥
1
𝑦
1
𝑧
22. If 3x = 5y = 15-z, then show that + + = 0
2
2
1
23. If 3p = 52 = 225-r, then show that 𝑝 + 𝑞 + 𝑟 = 0
p
2
2
𝑝
z
1
2
24. If 3 = 5 = 45 , then show that + =
2
2
1
𝑧
25. Prove that 1+𝑥2𝑎−2𝑏 + 1+𝑥2𝑏−2𝑎 = 2
26. If x = 2y and
9×32𝑥 −3𝑥 ×3𝑥−2
2
3
97. Express 0.0002 in
29.
30.
31.
33.
34.
35.
36.
𝑝
𝑝
𝑞
𝑞
𝑝
𝑞
𝑓𝑜𝑟𝑚.
𝑓𝑜𝑟𝑚.
9
100.
Examine, whether the no.
rational no. Or an irrational:
= 360, 𝑓𝑖𝑛𝑑 𝑡ℎ𝑒 𝑣𝑎𝑙𝑢𝑒 𝑜𝑓 𝑦.
√5−√6
√11−√7
Find the value of a and b if 11+ 7 = 𝑎 − √77𝑏
√
√
5+√3
Determine a and b if 7−4 3 = 94𝑎 + 3√3𝑏
√
7+√5
7−√5
Determine a and b if
−
= 𝑎 + 7√5𝑏
7−√5
7+√5
6
4√3
√6
Simplify: 2 3− 6 + 3+ 2 − 6− 2
√ √
√ √
√ √
1
32. Rational the denominator of
𝑓𝑜𝑟𝑚.
98. If 10x = 0.3-0.2, find the value of x.
𝑥
99. If = 0.6+0.4, find the value of x.
27. Rational the following:
28.
𝑞
96. Express 0.34-0.2+0.6 in
4
8
1
1
×239 + ×238
16
8
274 +272
, 𝑡ℎ𝑒𝑛
272 +270
𝑓𝑜𝑟𝑚.
𝑝
95. Express 0.8+0.9+0.67 in 𝑓𝑜𝑟𝑚.
3100 +3101 +3102
351
= 11
399 +398 −397
1
1
236 + ×235 + ×237
20. Find the value of
𝑞
94. Express 10.032 in
31
18. Prove that 529 +528 −527 = 145
19. Prove that
𝑞
𝑝
√5+√6−√2
1
1
1
Show that 4−√15 −
+ 14− 13 − √13 = 4
√15−√14
√
√
1
If a = 7 + √40, find the value of √𝑎 + 𝑎
√
1
Write of 4 in decimal form and say what kind of decimal expansion has:
8
3
Write 13 in decimal form and say what kind of decimal expansion has:
3√8
√2
is a
1
37. What can maximum no. of digits be in the repeating block of digits in the decimal expansion of ? Perform the division to
𝑥
check your answer.
38. Write three numbers whose decimal expansions are non-terminating and non-recurring.
111/2
39. Simplify: 111/4
40. Check whether
41.
42.
43.
44.
45.
√12
√75
is rational or irrational no.
Check whether (1+√5) − (4 + √5) is rational or irrational no.
Find 3 rational numbers b/w 0.1 and 0.11
Insert a rational number and an irrational b/w 0.152 and 0.161
Insert a rational number and on irrational number b/w 2.357 and 3.121
𝑝
Express the no. 0.404040---------in the form 𝑞 , where p and q are integers and q≠0
√54
√24
+ 9
8
7+√5
7−√5
7
If 7−√5 − 7+√5 = a+11 √5𝑏 then find the value of a and b.
7√3
2√5
3√2
Simplify: 10+ 3 − 6+√5 −
√15+3√2
√
√
√
𝑝
Express 3.425 in the form , where p and q are integers, q≠0
𝑞
4
√5
Insert five rational number b/w 7 and 9.
5−√21
1
1
1
If x = 2 then prove that (x3+𝑥 3 )-5(x2+𝑥 2 ) + 𝑥 + 𝑥 = 0
46. Simplify:
47.
48.
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
Evaluate 103 ×105 by using suitable identities.
Evaluate 95 × 95 - 85×85 by using suitable identities.
If 5x-4y=15 and xy=3, find the value of 25x2+16y2
If x+y+z=0 and x2+y2+z2=12, find the value of xy+yz+zx.
Evaluate (46)3+(34)3 by using suitable identities.
Find the project of (3x+4y-5z)(9x2+16y+25z2-12xy+20yz+15zx)
If x+y+z=8 and xy+yz+zx=20, find the value of x3+y3+z3+3xyz
Prove that: (x+y)3+(y+z)3+(z+x)3
-3(x+y)(y+z)(z+x)=2(x3+y3+z3-3xyz)
𝑝
60. √𝑝 + 8𝑞√𝑞 + 27𝑟√𝑟 − 18√𝑝𝑞𝑟.
Factorize using the suitable identities.
𝑎𝑙
2𝑎𝑚 3 2𝑎𝑙
𝑎𝑚
61. 𝐹𝑎𝑐𝑡𝑜𝑟𝑖𝑧𝑒: a3(l+m)3-( +
) -( + )3 by
3
3
3
3
using suitable identities.
𝑛
−
9𝑛 ×32 ×(3 2 )−2 −27𝑛
1
1. If
= 27 , Prove that m33𝑚 ×23
n=1
1
2. If y= 2− 3 find the value of y3-2y2-7y+5
√
4
2+√3+√7
1
If z=7-4√3 find the value of √𝑧 + 𝑧
√
𝑎 𝑎
1
Simplify: (3b+ ) ( − 3𝑏) ( 𝑎2 + 9𝑏 2 )
2
2
4
3. Rationalize the denominator of
4.
5.
6.
7.
8.
9.
10.
11.
12.
Simplify: (x2-3x+1)(x3-3x2-x)
Simplify: (a2+b2-c2)-(a2-b2+c2)
Simplify: (x+y+z)2+(x-y+z)2+(x+y-z)2
Simplify: (2p+s-t)2-(2p-s+t)2
𝑎
3
Write (2 − 𝑏)3 in expanded form.
Simplify: (2x-5y)3-(2x+5y)3
2
2
Simplify: (p+𝑝)3 + (p - 𝑝)3
1
1
= 62o, find the value of x3+ 3
𝑥2
𝑥
1
1
x4 + 4 = 194, find the value of x3 + 3
𝑥
𝑥
13. If x2+
14. If
15. Evaluate: (25)3-(75)3+(50)3
16. Evaluate: (2.2)3-(1.2)3-(1)3
(𝑥 2 −𝑦 2 )3 +(𝑦2 −𝑧 2 )3 +(𝑧 2 −𝑥 2 )3
(𝑥−𝑦)3 +(𝑦−𝑧)3 +(𝑧−𝑥)3
𝑥 2 +1
1
= 11, find the value of x4+𝑥 4
𝑥
1
1
x2+𝑥 2 = 47, find the value of x+𝑥
17. Simplify:
18. If
19. If
20. If x+2y =8 and xy=2, find the value of
x2+4y2.
4
21. Simplify: √81𝑥 2 𝑦 4 𝑧 8
𝑥𝑙
𝑥𝑚
𝑥𝑛
22. Prove that: (𝑥 𝑚)1/lm × ( 𝑥 𝑛 )1/mn × ( 𝑥 𝑙 )1/nl = 1
4
3
5
23. Simplify:
√81 − 8√216 + 15√32 +
√225
24. Evaluate (598)3
25. Rationalize the denominator of
4√3+5√2
√48+√18
Note: Students have to revise all the syllabus that has been attempted so far in the class.