kendriya vidhyalaya, cisf (rtc),’a’, thakolamग5ब र ,अकबर श न ३...

KENDRIYA VIDHYALAYA, CISF (RTC),A, THAKOLAM

HOLIDAY HOMEWORK SUMMER VACATION 2015

CLASS III ENGLISH

1. Make a flower scrap book and write their names.(Refer page no.7&8 in Marigold reader)

2. Make an album on different types of birds and their names.

3. Write the opposites of the following in an A4 sheet- High, Warm, Better, Quiet, Right,

Wide, Proud, Good, Big, Up.

4. Learn portions from April to May for FA1 Exam.

HINDI

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, . EVS

1. Make figures of 3 animals using dry leaves. (A4 Sheet)

2. Draw six containers for storing water in your house. Write their names. (Chart Paper)

3. Write five sentences about your family and paste your family photograph.(A4 Sheet)

COMPUTER

4. 1) PARTS OF COMPUTER AND FUNCTIONALITY WITH FIGURE?

5. 2) IDENTIFY THE KEYS OF KEYBOARD WITH FIGURE?

6. 3) CREATE PAINT PRESENTATION (ANYTHING LIKE HOUSE,FOREST,MOUNTAIN,SKY,SUN,AND SO ON)?

MATHS

Q.1 Write the table from two to fifteen.

Q.2 Write the numbers from 100 to 1000

Q.3 how many runs required to complete century:

S.No Players Name Runs Required runs to complete century

1 Dhoni 88

2 Virat Kohli 94

3 Sachin 91

4 Raina 86

5 Jadeja 84

6 Shikhar Dhawan 90

Q.4 Add the following:

(i) 562+267 (ii) 465+356 (iii) 784+692 (iv) 635+125 Q.5 Subtract the following:

(i) 956-543 (ii) 569-643

Q.6 Write the number names for the following:

a) 199

b) 213

c) 341

d) 605

Q.7 Make a chart of numbers from 1 to 100

Note: All the assignments to be kept in a folder and label it.



CLASS IV

ENGLISH

1. Practise handwriting in four line notebook (20 pages)

2. Write a few sentences on a part of your body (eg) eyes,head,nose,etc (A4 sheet)

3. Write the opposite of 25 words by adding (un,im ,dis)

4. Write a story and draw the pictures based on it. (Picture composition) (Chart work)

HINDI

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MATHS

1. Make a model on the following shapes.

a)Triangle b)Rectangle c) Circle d)Square

2. Write the basic units of measurement. (Chart work)

3. Write the tables from 11 to 20 (chart work)

EVS

1. Collect any 10 facts about the elephant and write neatly and boldly.( A4 sheet)

2. Collect various types of elephant pictures in the world and name them. (A4 sheet)

3. Write a story about the elephant and paste relevant pictures of it. (A4 sheet)

COMPUTER

1. Make an album on history of ancient computer to modern computer

2.Make a chart on classification of computer.

3.Create a document of your own on Microsoft word:

Note: All the assignments to be kept in a folder and label it.



CLASS V

ENGLISH

Q.1 Make an album of any two related stories on Teamwork with quotations,

proverbs and of quotations.

(NOTE: This will be recorded in formative assessment-I)

HINDI

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ENVIRONMENTAL STUDIES

Q.1 Make a model of digestive system using colour clay.

Q.2 Make an album on balanced diet and food items of different taste.

Q.3 Make an outline of A4 Sheet and paste the map India and colour the states and

write their capitals.

Q.4 Learn the chapter -1,2,3 from the textbook

COMPUTER

Q.1 Table creation in Microsoft Word.

Q.2 Microsoft Word Documentation (Any 2 documentations with images, text, table,

borders, colors).

Q.3 Make a cardboard of Keyboard Shortcut Methods

(For example:Copy, Paste, Cut, Undo, Redo, Bolt, Size)

MATHS

Q1. Write the number names according to INDIAN and INTERNATIONAL system?

a) 45793214 b) 9875648 c)345675 d) 6874988 e)764649536

Q2. Solve these problems:-

a) 34587+ = 56479

b) 67492- = 48756

c) 3504769 + 63419787 =

d) 9847487 3458795 =

e) 57489 x 732 =

f) 2.6485 x 1000 =

g) 2548.254 1000 =

h) 0 = 5478

i) 248796 x 25 50 =

j) 548465 44554 + 74846 =

Q3 Convert the following:-

a) 9 kg into Gram

b) 5 kg 480g into Gram

c) 6.254 kg into Gram and Mg

d) 4 liter into milliliter

e) 5478 ml into liter

f) 10 decameter = hectometer

g) 10 mm = centimeter

h) Use decimal

1) 17m 80 cm =

2) 8 L 250 ml =

Q4. Make the Chart Paper of the following shapes by using matchsticks and cardboard:-

Rectangle, Triangle, Square, Circle, Cube, Cuboidand Cone

Q5. Write the perimeter and Areas Formula of following shapes on A4 Sheet:-

Rectangle, Square, Triangle

Q6. Draw the following Shapes on A4 Sheet:-

A) Rectangle :- 1) Length 5cm , width 3cm 2) Length- 4cm, width- 2cm

B) Square:- 1) side 4cm 2) side- 2.5cm

C) Triangle edges = 1) 2cm, 3cm, 5cm and 2) 2.5cm, 4.5cm, 3.5cm

D) Draw angles = 1) 120 degree 2) 145 degree 3)85 degree 4) 45 degree



CLASS VI

HINDI

56 529

Maths

1. Insert commas suitably and write the names according to Indian System of

Numeration:

(a) 98686873 (b) 9657394 (c) 88811157 (d) 89543812

2. Insert commas suitably and write the names according to International

System of Numeration:

(a) 89832183 (b) 8563394 (c) 88896213 (d) 59158942

3. Place commas correctly and write the numerals:

(a) Eighty four lakh eighty six thousand four hundred eighteen.

(b) Eight crore sixteen lakh eleven thousand one hundred fifty two.

(c) Eight crore sixty three lakh thirty two thousand four hundred thirteen.

(d) Sixty nine million five hundred thirty four thousand three hundred

thirteen.

(e) Thirty four lakh forty one thousand one hundred twenty one.

COMPUTER

1) BASIC COMPONENTS OF COMPUTER?

2) CREATE ANY MS WORD DEOCUMENTATION?

3) HISTORY OF COMPUTER?

ENGLISH

1. Prepare a dictionary using 30 words.

2. Write homophones (20 words)

3. Write two moral stories.



CLASS VII

HINDI

1.

4. Write about Diarrhoea. How do you prepare Oral Solution .

PROJECT

A:. Attempt them in your SCIENCE Activity notebook.

B. Do all questions in sequence.

1.Collect any ten different colour leaves and stick it in your SCIENCE Activity

notebook.

2.Write about a History of any one Scientist .

3.Paste pictures of the following

Life cycle of Butterfly

Life cycle Silk worm

4. Paste pictures of Animals that gives wool.

5. Paste pictures of Main Parts of Human body

Draw any one of the above in Chart paper for display in the Class Room

Maths

(1) Verify a (b) = a + b for the following values of a and b.

(i) a = 22, b = 19 (iii) a = 119, b = 126

(ii) a = 76, b = 85 (iv) a = 29, b = 12

(2) Use the sign >, < or = in the box to make the statements true:

(a) (7) + (3) [ ] (7) (3)

(b) (2) + 8 (20) [ ] 16 9 + (8)

(c) 24 42 + 12 [ ] 24 42 12

(d) 40 + (23) (16) [ ] 37 + (51) (35)

(e) 230 + 80 + 52 [ ] 398 +160 + 82

(3) In a magic square each row , column and diagonal and have the sumcheck

which of the following is a magic square.

(4) State whether the following statements are correct or incorrect. Correct those

which are wrong:

(a) When two positive integers are added we get a positive integer.

(b) When two negative integers are added we get a positive integer.

(c) When a positive integer and a negative integer are added, we always get a

negative integer.

(d) Additive inverse of an integer 8 is (8) and additive inverse of (8) is 8.

(e) For subtraction, we add the additive inverse of the integer that is being

subtracted to the other integer.

(f) (10) + 3 = 10 3

(g) 8 + (7) (4) = 8 + 7 4

Computer

1) BRIEFLY EXPLAIN ABOUT THE FOLLOWING:

i) VIRSUS & ITS TYPES

ii) ANTI VIRSUS & TYPES

iii) FIREWALL & ITS USES

2) HTMAL BASIC PROGRAMME FOR THE NEW WEB PAGE?

3) BRIEF NOTE ABOUT THREAT TO COMPUTER?

ENGLISH 1. Imagine and create a story and a poem on any of the following creatures:

I) SNAKE II) PEACOCK III) CROW IV) CROW V) DOVE

2. Look at the homonyms given below and write down their meanings and form sentences

of your own for each homonym( any 20)

1)affect- effect: 2)berth- birth 3) bare-bear 4)bite- byte 5)blue- blew

6) cell- sell 7)cite- site 8) carrot-carat 9)doe-dough 10 )fore- four

11) heel- heal 12) knew-new 13) knead-need 14)loan-lone 15 )meet- meat

16) none-nun 17) pail-pale 18)seem-seam 19 )toe-tow 20) waist- waste

21) which-witch

SOCIAL SCIENCE

1. IMAGINE AN ENVIRONMENT IN WHICH YOU WOULD LIKE TO LIVE AND MAKE DRAWIMG ABOUT IT.

2. DRAW A FIGURE WHICH CONTAIN COMPONENT OF ENVIRONMENT.

6 0 3

4 1 8

1 4 2

2 9 1

3 2 1

5 3 6



CLASS VIII

HINDI

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MATHS

CH: Rational Numbers

Submission Date:-22 june2015

Q.1) Verify the associative law of addition for the rational numbers; ,

,

.

Q.2) Write in ascending form: - ,

,

,

Q.3) Verify the closure property for subtraction by taking any example of 2 rational

numbers.

Q.4) By taking any suitable examples check if the commutative and associative laws are true

forsubtraction for rational numbers. State the properties reflected in the statements

below:-

Q.5)

=

= 1

Q.6) =

=

Q.7) Is the commutative law for division true for rational numbers? Justify your answer with

the help of an example. .

Q.8) By what rational number should the sum of and

be divided to get

?

Q.9) Find+ +

+

Q.10) Represent (i) -5/15(ii) 19/4 on number line.

Q.11) Write seven rational number between -3/7 and 5/8.

Q.12) Write six rational number between -7/9 and 5/11.

Q.13) One coin weighs 7 1/4 g. How much would 24 coins weigh?

Q.14) Find

Q.15) Find any ten rational numbers between 5/6 and 5/8. Q.16) Find five rationalnumber between and . Q.17) Write five rational numbers which are smaller than 2. Q.18) Write five rational numbers greater than 2.

Q.19) Find

Q.20) Multiply 7/17 by the reciprocal of -3/5.

Linear Equation in One Variable

Submission Date:-22 june2015

Q.1)Solve the following equations

(1) 5x 2 = 9 (2) = (3) 7x + 11 = 3 + 12

(4) +

=

(5) 3m 4 = 4m + 11

(6) 5(x + 2) = 2(x 1) (7) 2(x + 3) = 8 3 (x 4)

(8) 2x 43 = 17 (9) 2y + 9 = 4 (1o) 2x 2 = 7

(11) y +13 = 10 (12 ) 6 = z +22 (13) 7x 19 = 16

(14) 14y 18 = 13 (15) 17 + 6p = 19 (16) 2x 3 = -6x + 2

(17) 13x = 22x + 18 (18) 5p 43 = 3p 5 (19) 5x +1 9 =2 5 + 3x

(20) 24z + 3 = 36 + 2z (21) 12x 1 1 = 14 x (22) 8x + 4 = 3 (x 10) + 57 (23) 3(k 13) = 5(2k + 41) (24) 15(3y 4) 2(5y 9) + 5(2y + 6) = 0 (25) 3(5z 17) 12(9z 11) = 14(8z 13) 21 (26) 2.5(4f 30) = 0.5(10f 90)

Q.2) Three times a number decreased by 5 gives the result 16. Find the

number.

Q.3) Twice a number increased by 5 is the same as three time the

number decreased by 8. Find the number.

Q.4) what should be added to twice the rational number -4/5 to get 4/7.

Q.5) The sum of three consecutive multiples of 12 is 132. Find these multiples. Q.6) The difference between two whole numbers is 77. The ratio of the two numbers is 2: 9. What are the two numbers? Q.7) Sum of two numbers is 85. If one exceeds the other by 13, find the numbers. Q.8) Two numbers are in the ratio7:5. If they differ by 20, what are the numbers? Q.9) Three consecutive integers add up to 54. What are these integers? Q.10) The sum of three consecutive multiples of 9 is 999. Find the multiples. Q.11) Three consecutive integers are such that when they are taken in increasing order and multiplied by 5, 6 and 7 respectively, they add up to 56. Find these numbers. Q.12) The ages of Raj and Hari are in the ratio 4:5. Five years later the sum of their ages will be 64 years. What are their present ages? Q.13) I have a total of Rs 300 in coins of denomination Re 1, Rs 2 and Rs 5. The number of Rs 2 coins is 3 times the number of Rs 5 coins. The total number of coins is 160. How many coins of each denomination are with me? Solve the flowing equations Q.14) The digits of a two-digit number differ by 3. If the digits are interchanged, and the resulting number is added to the original number, we get 143. What can be the original number? Q.15) Present ages of Anu and Raj are in the ratio 4:5. Eight years from now the ratio of their ages will be 5:6. Find their present ages.

Q.16)The difference of two positive numbers is 69.The quotient obtained on driving one by the other is 4 .Find the number.

Q.17)What are three consecutive integers whose sum is 63?

Q.18)One third of which number must be subtracted from to give

Q.19)Two numbers are such that the ratio between them is 3:5. If each is increased by 10, the ratio between the new numbers so formed is 5:7 .Find the original numbers.

Q.20)The denominator of a rational number is greater than its numerator by 7.If the numerator is increased by 17 and the denominator is decreased by 6 , the new number becomes 2.Find the original number.

Q.21)The digits at the tens place of a two digit number is four times that in the units place. If the digits are reversed, the new number will be 54 less than the original number, Find the original number. Check your solution.

Q.22)A number consists of two digits of which tens digit exceeds the unit digit by 7 .The number itself is equal to 10 times the sum of its digits. Find the number

Q.23)Seema is now 9 years older than Beena .In 10 years, Seema will be twice as old as Beena was 10 years ago.Find their present ages.

Q.24)The difference between two angles is .If these angles are complementary, find the angles.



CLASS IX

HINDI

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23. Define and write functions of all cell organelles.

24. Define Plasmolysis.

25. Define Endocytosis name one unicellular organism in which endocytosis is observed.

26. Prepare PPT. or scrap book on chapter Fundamental unit of Life.

27. Write answers of all blue Questions from book of chapter Fundamental unit of Life.

28. Prepare and compare chart of animal and plant cell.(Write differences)

29. Prepare and compare chart of Eukaryotic and Prokaryotic cell. (Write differences.)

30. Learn all exercise and blue questions from textbook of chapters 1 and 5 for test on 22.6.2015.

COMPUTER

1. Define the term multimedia.

2. What are the various photo editing softwares available? Give a brief description of each.

3. What is animation? What is the difference between 3D animation and 2D animation?

4. Edit your Vidyalayas photo using photoshop.

ENGLISH

1. Write about the life of Kalpana Chawla or Sunita Williams and their career?

2. Choose any five news from a local daily local, national , international , business and

sports. Stick them on A-4 sheet paper . From each news choose 5 words that are new to you

and make a list. Find out the meanings and write them. Be prepared for an oral test too .

SOCIAL SCIENCE

1 locate physical region of India on India map . And write a brief note about each region under following

title

A. River name

B. Climate

C. Vegetable

D. Soil

E. Main economic activities

F. Festivals

2. List out name any forty democratic countries and mention their forms of government wheather

parliamentary or presidential

MATHS

Numbers System

Submission Date:-22 June 2015

Q.1) Which is greater 3 !"5$ . Q.2) Write 5 rational numbers between 12/13 and 17/8. .

Q.3) Write 5.61 as a rational number.

Q.4) Represents 12/5 on the number line.

Q.5) Represent 3 on the number line.

Q.6) Write 5 irrational numbers between 2.3456 and 2.457.

Q.7) Represents 2/15 on the number line.

Q.8) Write 4.65 as a rational number.

Q.9) Represent 5/13 on the number line

Q.10) If% + &11 = '', find a and b.

Q.11) Find rational or irrational - (I) (23 +5) (23 -5) (ii) 33 + 52 -27 -50

Q.12) Write 5 irrational numbers between 11/2 and17/3.

Q.13) Write 1211/80 as decimal.

Q.14) Represent 4.6784 on number line as magnifying.

Q.15) Represent 6.3 on the number line Q.16) Find the value of:

()*+, +

()*+

$ +

)()-*+

./

Q.17) Represent9.8 on the number line

Q.18) Simplify)--)-'-. Q.19) Find whether following is rational or irrational (33 +7) (33 +7) .

Q.20) Express -

-)' with a rational denominator.

Q.21) Write in the form of p/q (i)4.26 (ii) 32.013(iii) 0.004 Q.22) If% + &7 = '', finda and b. Q.23) Represent 5 +2 on the number line.

Q.24) Represent 5on the number line.

Q.25) Write 5 irrational numbers between 2.5683 and7/8 .

Q.26) If5 = '--, find5 +6

Q.27) If 5 = '--and7 =-'-, find x + y.

Q.28) If-

-' +

- = % + &3 , Find a and b.

Q.29) If 89-/)/-.$ = 81 then n=?

Q.30) Simplify:-

;'-)

' -)

'-)

Polynomials

Q.1) Factorise x4 - 125x

Q.2) Find remainder if x-5 is a divides 11x3 4x2 +5

Q.3) Factorise x3 3x2 3x + 1

Q.4) Find p (1/3) of p(x) =3x3 2x2 x

Q.5) If x+3 is factor of 2x3 11ax +2a,find a.

Q.6) Find the zeroes of p(x) = x 3 6x2 7x.

Q.7) Find p (2/3) and p (-4/5) of p(x) =3x3 4x2 11

Q.8) Factorise x5 yx y5

Q.9) (a)Factorise a3 + b3+ (a + b) 2

(b) When 3x2 2ax 5b divided by x-2 and x+1 leave 5 and 4 as remainder. Find

a and b.

Q.10) Factorise x6 - y6

Q.11) Find remainder if 4x-7 divides 2x3 x2 + 11 x + 2

Q.12) If 2 x 5 is a factor of 5x2 + 12 ax + 5a,find a

Q.13) Factorise 7x3- 343x

Q.14) Find a if x + 4 is factor of x3 2ax2 +2 a [2]


Q.16) Find the remainder when polynomial P(y) = y3 + 3y3 +3y + 1 is divided by( y

).

Q.17) If the polynomial kx3 + 4x2 + 3x 4 and x3 4x + k leave the same remainder

when divided by x 3 , then find the value of k.

Q.18) Find the value of a if x a is a factor of the polynomial x3 ax2 + 2x + a 1 .

Q.19) Factorise : (2x 3y)3 + (3y 4z)3 + (4z 2x)3 .


Q.21) If x+5 is factor of 2x3 10ax 3a,find a

Q.22) Find p(2/3) and p(-4/5) of p(x)=3x3 x2 10

Q.23) Factorise x3 + 125

Q.24) If 2x+3 is factor of x3 5ax 2a,find a .

Q.25) Evaluate 1023 (using identity).


Q.27) Find remainder if x -7 divides 3x3 x2 + 5 x + 3

Q.28) Factorise 8x6 - y3


Q.30) If 2 x 5 is a factor of 5x2 + 12 ax + 5a,find a


Q.32) If x 5 is a factor of 5x2 + 12 ax + 5a,find a.

Q.33) Factorise x3 2x2 29 x - 42.

Q.34) If x+3 is factor of 2x3 11ax + 2a, find a.

Q.35) Find p (-1/3) of p(x) = 3x3 2x2 x +5.

Q.36) Simplify (5x - 7y)3 + (5x + 7y)3

Q.39) Simplify (7x 5y + 2z)2 + (7x 5y + z)2

Q.40) Write (i) a cubic trinomial (ii) ten degree binomial (both with one variable)

Q.41) Give one example each of a binomial of degree 33, and of a monomial of degree 120. Q.42) Evaluate 108 102 without multiplying directly. Q.43) Write (3a - 4b - 5c)2 in expanded form. Q.44) Expand (4a 2b 3c)2. Q.45) Factorise 8x3 + 27y3 + 36x 2 y + 54xy2. Q.46) Evaluate the following products without multiplying directly: (i) 103 107 (ii) 95 96 (iii) 104 96 Q.47) Factorise the following using appropriate identities: (i) 9x2 + 6xy + y2 (ii) 4y2 4y + 1



CLASS X

HINDI

5 . . _ `a, 2, C |()

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COMPUTER

1. Name some video films where 3D animation has been used.

2. Why do we need special glasses to watch a 3D movie? Explain.

3. What are the various applications of 3D animation?

4. Create a small animated story using PowerPoint.

SOCIAL SCIENCE

1.FRAME 40 ONE MARK QUESTIONS AND WRITE THE ANSWERS IN THE HOME WORK NOTE BOOK.

2.PROJECT-COMPARE THE CITIES OF LONDON AND MUMBAI WITH REGARD TO THEIR

POPULATION,WORK,LIFE IN THE CITY,PRBLEMS FACED BY THE PEOPLE.COLLECT INFORMATION AND

PICTURES.

ENGLISH

1. Make a PPT on any one of Natures medicines and make a scrap book on the same?

2. Critically review any film of your choice which has a social theme?

MATHS

LINEAR EQUATION IN TWO VARIABLES

Graph G1. Solve graphically 2x 3y + 13 = 0; 3x 2y + 12 = 0 [-

2, 3]

G2 Find graphically the coordinates of the vertices of a triangle whose sides are - : y = x, y = 0 and 2x + 3y = 30

G3 Solve graphically 3x + y 11 = 0 , x y 1 = 0;Shade the region bounded by these lines and y axis .

G4. Solve graphically :- 2x + 3y + 5 = 0 , 3x 2y 12 = 0. [x = 2, y = - 3]

G5 Draw the graph 2x + y = 6 and 2x y + 2 = 0. Shade the region bounded by these line and x-axis.

Find the area of the shaded region. [(1,4), 8 sq units]

G6. Solve graphically: . Find the vertices of the triangle formed by the

lines and x-axis.

Solve graphically

G7 5x y = 7 ; x y = - 1

G8 3x + y + 1 = 0; 2x 3y + 8 = 0

G9 3x y = -4 ; 5x + y = -4

G10 x + y = 3 ; 2x +5y = 12

G11 3y = 17 -2x ; 2x 3y = -1

G12 2x +y 3 = 0 ; 2x 3y 7 = 0

G13 Find graphically the coordinates of the vertices of a triangle whose sides have the equations : y = x, y = 0 and 2x

+ 3y = 30


G15 Draw the graphs of the following equations :- 2x y 2 = 0

4x + 3y 24 = 0 ; y + 0 obtain the vertices of the triangle so obtained .

G16 Solve graphically 3x + y 11 = 0 , x y 1 = 0;Shade the region bounded by these lines and y axis

G17 Draw the graph 2x + y = 6 and 2x y + 2 = 0. Shade the region bounded by these line and x-axis.Find area of the

shaded region.

G18 Draw the graphs of the following equations :- 2x y 2 = 0 ; 4x + 3y 24 = 0 ; y + 4 = 0

obtain the vertices of the triangle so obtained .

G19 Solve graphically 3x + 5y = 19 ; 2x y = 4

G20 Draw the graphs of the equations x y + 1 = 0 and 3x + 2y 12 = 0. Determine the coordinates of the

cocordinates

of the vertices of the triangle formed by these lines and the x-axis , and shade the triangular region.

G21 Solve graphically 3x + y + 1 = 0; 2x 3y + 8 = 0

Solve graphically

G22. 5x y = 7 ; x y = - 1 [2, 3]

G23. 3x + y + 1 = 0; 2x 3y + 8 = 0 [-1, 2]

G24. 3x y = -4 ; 5x + y = -4 [-1, 1]

G253x + y = 3 ; 2x +5y = 12 [1, 2]

G26. 3y = 17 -2x ; 2x 3y = -1 [4, 3]

G27. 2x +y 3 = 0 ; 2x 3y 7 = 0 [2, -1]

G28. 2x 3y + 13 = 0; 3x 2y + 12 = 0 [-2, 3]

G29 Find graphically the coordinates of the vertices of a triangle whose sides have the eq : y = x, y = 0 and 2x + 3y = 30


G31 Draw the graphs of the following equations :- 2x y 2 = 0

4x + 3y 24 = 0 ; y + 3 = 0 obtain the vertices of the triangle so obtained .

. G32Solve graphically :- 2x + 3y + 5 = 0 , 3x 2y 12 = 0. [x = 2, y = -

3]

G33 2x 3y + 13 = 0; 3x 2y + 12 = 0 [-2, 3]

k K1. For what value of k will the pair of liner equations:- kx + 3y = k 3 , 12x + ky = k [k 6]

K2. Find the values of k for which the pair of equations 2x + ky = 1, 3x 5y = 7 has a unique solution. [-10]

Solve the pairs of equations by using the method of cross-multiplication :-

K3. For what values of a and b will the equations 2x + 3y 7 = 0 and

(a + b + 1)x + (a + 2b + 2)y = 4(a + b) + 1 have an infinite number of solutions ? [a = 3, b = 2]

K4. For what value of k, the pair of equations has no solution ? 2x + 3y = 5 , kx 5y = 7 [ - 10/3]

K5 Find k for unique solution 3kx + 2y = 7 ; 4x + ky = 8 [8/3]

K6 Find k for no solution 3x +2y = 5 ; x + 5kx +2y = 1 [2/5]

K7. Find p and q for infinite f solutions: 2x y = 5 (p + q)x (2q p)y = p + 2q + 6 [p = q =3]

K8 For what values of a and b will the equations 2x + 3y 7 = 0 and

(a + b + 1)x + (a + 2b + 2)y = 4(a + b) + 1 have an infinite number of solutions ? [a = 3, b = 2]

K9 For what value of k, the pair of equations has no solution ? 2x + 3y = 5 , kx 5y = 7. [ - 10/3]

K10 For what value of k will the pair of liner equations:- kx + 3y = k 3 , 12x + ky = k. [k 6]

K11. Find the values of k for which the pair of equations 2x + ky = 1, 3x 5y = 7 has a unique solution. [-10]

Solve the pairs of equations by using the method of cross-multiplication :-

K12 Find graphically the coordinates of the vertices of a triangle whose sides have the eq : y = x, y = 0 and 2x + 3y = 30

K13. Find p and q for which system of linear eq has infinite f solutions: 2x y = 5

(p + q)x (2q p)y = p + 2q + 6 [p = q =3]

SOLVE

S1. Solve (cross-multiplication :method} x + y = a + b , x + y = 2

. a b a2 b

2 [a

2 , b

2]

S2 Solve{ method of cross-multiplication} .a - b = 0 , ab2 + a

2b = a

2 + b

2

x y x y [a , b]

S3 Solve. 2(x + 3) + 3(y 1) = 8 , 3(x- 2) + 2( y + 2) = 3 [1 ,1]

S4. mx ny = m2 + n

2 , x y = 2n . [ m + n , m n]

S5.

. S6

S8.

S9.

S10

S11

S12

S13

S14

S15. Solve:

S16 Solve :- x + y = a ; x - y = b [(a3 b

3)/ b

2a

2ab]

. a a + b a b b

S17 Solve for x and y: ax + by = a b; bx ay = a + b . [1,1]

S18 Solve for x and y: ax + by = 1; bx + ay = 2ab

a2 + b

2

S19 Solve for x and y: 217x + 131y = 913 ; 131x + 217y = 827 [. x = 3, y = 2 }

S20olve (cross multiplication method ax + b y = a + b ; ax by = a b

S21 Solve 2x 3y + 13 = 0; 3x 2y + 12 = 0

S22. Solve (cross-multiplication :method}x + y = a + b , x + y = 2

. a b a2 b

2

S23 Solve :- 813x +2y

= 27 ; 25x y

= 125 .

S24 Solve :- 1 + 1 = 3 ; 1 - 1 = 5

3x 2y 5x 3y

S25 Solve :- 5 + 3 = 13 ; 4 - 7 = 1 .

. x + y x y x + y y x

S26 Solve for x and y(by cross multi.method) ax + by = 1 ; bx + ay = 2ab/ (a2 + b

2)

S27 Solve :- 5 + 3 = 13 ; 4 7 = 1 .

.

x + y x y x + y x y

S28 Solve :- 27 3x +2y

= 9 ; 25x y

= 125

S29 Find a and b for infinite solutions 3x (a + 1) y = 2b 1 ; 5x + (1 2a) y = 3b.

S30 Find a and b for infinite solutions :-

3x (a + 1) y = 2b 1 , 5x + (1 2a)y = 3b.

S31 Solve the equation :- 23x 17y + 11 = 0 ; 31x + 13y 57 = 0 .

S32Solve for x and y : xy = 1 , xy = 1 ,

. x + y 2 x y 6 x + y 0, x y.

S33 Solve :- x + y = a ; x - y = b .

. a a + b a b b

S34 Solve :- 44 + 30 = 10 ; 55 + 40 = 13

. x + y x y x + y x y

S35 Find a and b for infinitely many solutions 2x + 3y = 7 ;(a+b)x + (2a b) y =3(a+b+1)

S36 Find the value of k so that the following system of equations has no solution 3x + 2kx + 5y = 4; 3x 7y = 11

S37 Find the nature of solutions of 3x 5y = 8y 4 ; 2x 11y 14 = 0

S38. In an equation :- 2x 5y = 7y + 11x 5 ,write x in term of y and find whether ( 2 , 3) is the solution of the

equation.

S39 Solve :- 4 + 3 = 11 ; 5 + 4 = 14

. x + y x y x + y x y

S40 Solve 148x + 231y = 527 ; 231x + 148y = 610

S41 Find the value of p and q for which system of linear equations has infinite solutions.

2x y = 5 (p + q)x (q p)y = p + 2q + 2

S42 Solve (by cross-multiplication :method) ax + b y = a2 + b

2 ; 2x + 3y = 2a + 3b

S43 Given below are three equations. Two of them have infinite solutions and two have a unique solution..State the

two pairs: 3x 2y = 4 ; 6x + 2y = 4 ; 9x 6y = 12.

S44 Solve the pair of equation

5 + 1 = 2 6 3 = 15

2x 1 3y 2 ; 2 x 1 3y 2

S45 Find k for unique solution 3kx + 5x - 3y = 7 ; 4x + 7y = 8

S46 Solve 5 + 3 = 13 ; 4 7 = 1 .

x + y x y x + y x y

S47 Solve :- 27 3x +2y

= 9 ; 25x y

= 125

S48 Find a and b for infinite solutions 3x (a + 1) y = 2b 1 ; 5x + (1 2a) y = 3b.

S49. For what value of k, the pair of equations has no solution ? 2x + 3y = 5 , kx 5y = 7 [ - 10/3]

S50 Solve. 2(x + 3) + 3(y 1) = 8 , 3(x- 2) + 2( y + 2) = 3 [1 ,1]

S51. mx ny = m2 + n

2 , x y = 2n . [ m + n , m n]

S52 Find k for unique solution 3kx + 2y = 7 ; 4x + ky = 8 [8/3]

S53 Solve :- x + y = a ; x - y = b .[(a3 b

3)/ b

2a

2ab]

. a a + b a b b

S53 Find k for no solution 3x +2y = 5 ; x + 5kx +2y = 1 [2/5]

S54 Solve :- 44 + 30 = 10 ; 55 + 40 = 13 [8,3]

. x + y x y x + y x y

S55 . Solve for x and y: ax + by = a b; bx ay = a + b [1,1]

S56 Solve 2x + 3y = 11 and 2x 4y = 24 and hence find the value of m for which y = mx + 3

S57 Solve by cross multiplication: 6(ax + by) = 3a + 2b, 6(bx ay) = 3b 2a

S58 Solve (a b)x + (a + b)y = a2 2ab b

2 ;(a + b) + (a + b)y = a

2 + b

2

S59Solve the following system of equation: 022

=y

b

x

a ; bay

ab

x

ba+=+

22

WORD PROBLEMS

W1. The combined railway fare for a journey undertaken by a family of 4 members traveling in 3-tier coach and a

family of 3 members traveling in 2-tier coach is Rs 5100. The total fare would have been Rs 300 more if the first

family had 1 member less while the second had 1 member more. What was the fare for a couple for the same

journey in 2-tier ? [ Rs 1800]

W2. The difference of two numbers is 3 and the sum of one-third is 5. Find the numbers? [9 , 6]

W3. The fathers age is 3 times the sum of ages of his two children. After 5 years, his age will be twice the sum of

ages of the two children . Find the age of the father . [45]

W4. 4 kg of apples and 3 kg of guava together cost Rs 36.50, while 3 kg of apples and 2 kg of guava cost

Rs 26.50. Find the price per kg of apples and guava. [Rs 6.50 , Rs 3.50]

W5. A two-digit number is 4 times the total of the digits therein . If 18 is added to the number , the digits

interchange their places . Find the number

[24]

W6. There are some lotus flowers in a lake. If one butterfly sits on each flower , one butterfly is left behind. If two

butterflies sit in each flower , one flower is left behind .What is the number of flowers ? What is the number of

butterflies ? [F. = 3 , B = 4]

W7 The sum of a two-digit number and the number obtained by reversing the order of its digit is 154.If the two

digits of the given number differ by 4, find the number.

W8 A shopkeeper purchased 5 chairs and 3 tables for Rs 1500. He sold the chairs at a loss of 15% and the tables at a

profit of 19%. This way, the total selling price of the tables was equal to the total selling price of the chairs . Find the

cost price of each chair.

W9 The ratio of incomes of two persons is 9 : 7 and the ratio of their expenditures is 4 : 3. If each of

. them saves Rs 2000 yearly, find their annual incomes. [Rs 18000,Rs 14000]

W10. A two digit number is obtained by either multiplying the sum of digits by 8 and adding 1, or by multiplying the

difference of the digits by 13 and adding 2. Find the number. [41]

W11 8 men and 12 boys can finish a piece of work in 10 days, while 6 men and 8 boys can finish it in 14 days Find the

time taken by 2 boys and 3 men to complete the same work .[140,280]

W12 Students of a class are made to stand in rows. If one student is extra in a row, there would be two rows less. If

one student is less in a row there would be three rows more. Find the total number of students in the class.

[60]

W13Nivedita has 440 laddo and 140 barfis. She wants to sack them in such a way that each stack has the same

number, and they take up the least area of the tray. What is the number of burfis that can be placed for this purpose?

W14 The hypotenuse of a right angled triangle is 310 cm. If the smaller side is tripled and the longer side doubled,

new hypotenuse will be 95 cm. How long are the sides of the triangle?

W19A two-digit number is 4 times the total of the digits therein . If 18 is added to the number , the digits interchange

their places . Find the number

W20 A man travels 600 km partly by train and partly by car. If the covers 400 km by train and the rest by car, it takes

him . 6 hours and 30 minutes. But, if the travels 200 km by train and the rest by car, he takes half an hour longer. Find

the. speed of the train and car

W.21 A fraction becomes 1/3 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the

numerator and denominator, it becomes . Find the fraction

w22 Four times Bs age exceeds As age by 20 years, and one third of As age is less than Bs age by two years. Find

their ages.

W23. The coach of a cricket team buys 3 bats and 6 balls for Rs. 3900. Later, she buys another but and 2 more balls of

the same kind for Rs. 1300. Represent this situation algebraically and geometrically.

W24 The larger of two supplementary angles exceeds the smaller by 18 degrees. Find them

W25 Ravi tells his daughter, . Seven years ago, I was seven times as old as you were then.Also, three years from now, I

shall be three times as old as you will be.. Represent this situation as a pair of linear equations in two variables and

solve.

W26 Suniti can row downstream 20 km in 2 hours and upstream 4 km in 2 hours . Find her speed of rowing in still

water and the speed of the current.

W27 In an auditorium, seats are arranged in rows and columns. The number of rows was equal to the number of

seats in each row. When the number of rows was doubled and the number of seats in each row is reduced by 10, the

total number of seats . increased by 300. Find :-(i) the number of rows in the original arrangement. (ii) The number

of seats in the auditorium after re-arrangement.

W28 Anubhav sold a table and a chair for Rs. 2100, thereby making a profit of 10% on the table and 25% in the chair.

If he had taken a profit of 25% on the table and 10% on the chair he would have got Rs. 2130. Find the cost price of

each.

W29. . The railway fare for a journey by a family of 4 members traveling in 3-tier coach and a family of 3 members

traveling in 2-tier coach is Rs 5100. The total fare would have been Rs 300 more if the first family had 1 member less

while the second had 1 member more. What was the fare for a couple for the same journey in 2-tier ? [ Rs 1800]

w30 Fathers age is 3 times the sum of ages of his 2 children. After 5 years his age will be twice the sum of ages of

two children. Find the age of father. [45 years]

w31 The boat goes 30 km upstream and 44 km downstream in 10 hours. In 13 hours, it can go 40 km upstream and

55 km downstream. Determine the speed of stream and that of the boat in still water. [Speed of stream = 3km/hr,

speed .. of boat = 8 km/hr]

w32 In a rectangle, if the length is increased by 3 meters and breadth is decreased by 4 metres, the area of the

rectangle is reduced by 67 square metres. If length is reduced by 1 metre and breadth is increased by 4 metres, the

area is increased by 89 sq.metres. Find the dimensions of the rectangle. [L = 28 m, B = 19 m]

w33 2 men and 7 boys can do a piece of work in 4 days. The same work is done in 3 days by 4 men and 4 boys. How

long would it take one man and one boy to do it ? [Man :- 15 days, Boy :- 60 days]

W15. Five years ago, Nuri was thrice as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. Find their ages.

Q212 A Pw1W16Part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the

mess. When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes

food for 26 days, pays Rs 1180 as hostel charges. Find the fixed charges and the cost of food per day.

W17 Yash scored 40 marks in a test, getting 3 marks for each right answer and losing 1 mark for each wrong answer.

Had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Yash

would have scored 50 marks. How many questions were there in the test?

W18 Places A and B are 100km apart on a highway. One car starts from A and another from B at the same time. If the

cars travel in the same direction at different speeds, they meet in 5 hours. If they travel towards each other, they meet

in 1 hour. What are the speeds of the two cars?

w34 The age of A is 3 times the age of B 10 years later age of A will be twice the age of B.Find their ages

W35. A two-digit number is 4 times the total of the digits there in . If 18 is added to the number , the digits

interchange their places . Find the number [24]

W36 A shopkeeper purchased 5 chairs and 3 tables for Rs 1500. He sold the chairs at a loss of 15% and the tables at

a profit of 19%. This way, the total S.P. of the tables was equal to the total selling price of the chairs . Find the C.P. of

each chair.

W37 The sum of the numerator and denominator of a fraction is 4 more than twice the numerator. If the .. ..

numerator and denominator are increased by 3, they are in the ratio 2 : 3. Determine the fraction.

W38. The present age of a father is equal to the sum of the ages of his 5 children. 12 years hence the sum of the ages

of his children will be twice the ages of their father. Find the present age of the father.

W39. A man travels 600 km partly by train and partly by car. If he covers 400 km by train and the rest by car, it takes 6

hours and 30 minutes. But if he travels 200 km by train and rest by car, he takes half an hour longer. Find the speed of

the train and that of car.

W. 40. Two places A and B are 80 km apart from each other on a highway. A car stats from A and another from B at

the same time. If they move in the same direction, they meet in 8 hours and if they move in opposite directions the

meet in 1hour and 20 minutes. Find the seed of the cars.

W41. A train covered a certain distance at a uniform speed. If the train would have 6 km/hr. aster it would have taken

8 hrs. less than the scheduled time. And if the train were slower by 6 km/hr. it would have taken 12 hours more than

the scheduled time. Find the length of the journey.

W42 Two years ago , a father was five times as old as his son . Two years later , his age will be 8 more than three

times the age of the son . Find their present ages.

W43 A man sold a chair and a table together for Rs1520 there by making a profit of 25% on chair and 10% on table.

By selling them together for Rs1535 he would have made a profit of 10% on the chair and 25% on the table. Find the

cost price of each .

W44 Reena has pens and pencils which together are 40 in numbers. If she has 5 more pencils and 5 less pens, then

number of pencils become 4 times the number of pens. Find the original number of pens and pencils.

[Pens=13,Pencils=27]

W45 On selling a T.V. at 5 % gain and a fridge at 10% gain, a shopkeeper gain Rs 2000 . But if he sells the T.V. at 10%

gain and the fridge at 5% loss. He gains Rs 1500 on the transaction. Find the actual price of T.V. and fridge. . [Rs

20000,Rs1000]

W46 A number consists of two digits whose sum is 5. When the digits are reversed, the number becomes greater by

9. Find number.

W51 A fraction becomes 1/3 if 1 is subtracted from both its numerator and denominator. If 1 is added to both the

numerator and denominator, it becomes . Find the fraction. [ 3/7]

W47 If 2 is added to the numerator of a fraction, it reduces to and if 1 is subtracted from the denominator, it

reduces to 1/3.Find the fraction. [3 /10]

W48 A is elder to B by 2 years. As father F is twice as old as A and B is twice as old as his sister S. If the age of the

father and sister differ by 40 years, find the age of A. [26 years]

w.49 The tens digit of a two digit number is three times the unit digit. The sum of the number and the unit digit is

32. Find the number.

W51 Raju attended 40 questions in his class test. One mark was awarded for every right answer and 1 mark

was deducted for every wrong answer. He got 4 questions correct and 3 questions wrong during his first

session. Find the number of questions he attended.

W52 The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. After a month, the cost of 2 kg of

apples and 1kg of grapes is Rs 300. Represent the situation algebraically and geometrically.

Polynomials Submission Date:-22 June 2015

Q.1) Divide 6x3 x2 10x -3 by 2x 3

Q.2)34x 22x3 12x4 10x2 75 by 3x + 7

Q.3) 9y4 4y2 + 4 by 3y2 4y + 2

Q.4) 6z2 6 7z2 + 4z4 27z 27z3 by 2z2 3

Q.5) Show that x2 + 4 is a factor of x4 + 9x2 + 20.

Find all the zeroes of:-

Q.6) x2 x 30

Q.7) x2 + x 2

Q.8) x 3 6x2 7x

Q.9) x3 3x2 10x + 24

Q.10) Form a cubic polynomial with sum, product and sum of the products of its

zeroes taken two at a time as 2, - 14 , - 7 respectively.

Q.11) Using Division Algorithm, find whether 2 x2 is a factor of x4 5x + 6 or not.

Q.12) Divide 4y3 3y + 8y2 + 5 by 2y2 y + 1 and write the quotient.

Q.13) Find the zeros of the polynomial ( x + 2 ) ( 2x 1 ) ( 3x 2 ).

Q.14) If and are the zeros of f ( x ) = x2 px + q, find the value of 2 + 2

Q.15 If the polynomial5 65- + 165) 255 + 10 is divided by another polynomial 5) 25 + =, the remainder comes out to be x+a. Find the value of k and a. Q.16) Find all the zeros of25 35- 35) + 65 2if you know that two of its zeros are 2 and - 2

Q.17) If and are the zeros of f ( x ) = 3x2 7x - 13, find the value of1/ + 1/

Q.18) Find the LCM of 245 and 125 .

Q.19) Find zeroes of x 3 6x2 7x

Q.20) Find the zeros of x3 3x2 10x + 24

Q.21) If and are the zeros of f ( x ) = 3x2 7x - 13, find the value of 3 + 3

Q.22) Divide 2x3 3x2 10x -3 by 2x +1

Q.23) Divide 3x3 3 by 5x + 6

Q.24) Obtain all other zeroes of 3x4 + 6x3 2x2 10x 5 , if two of its zeroes are

5 and 5 . .

Q.25) Construct a cubic polynomial whose zeros are 12 , 5 and 11

Q.26) Construct a quadratic polynomial whose zeros are 2/5 and 7/11

Q.27) Find the zeros of the polynomial ( x + 2 ) ( 2x 1 ) ( 3x 2 ).

Q.28) Find the zeroes of x2 12 and relationship between zeroes and coefficient.

Q.29) If and are the zeros of f (x) = 3x2 2x - 5, find the value of 3 + 3

Q.30) Construct a cubic polynomial whose zeroes are 2/3, 4/5 and 3

Q.31) Divide 3x3 x2 2x - 4 by 2x 3.

Q.32) On Dividing x3 3x2 + x + 2 by a polynomial g(x), the quotient and remainder

were x 2 and - 2x + 4 respectively. Find g(x).

Q.33)Two zeroes of cubic polynomial ax3 + 3x2 bx 6 are 1 and 2 .Find the 3rd

zero and value of a and b.

Q.34) Find a quadratic polynomial whose zeroes are 5 + 2 and 5 2.

Q.35) Construct a quadratic polynomial whose zeros are 3/4 and -5/2.

Q.36) Form a quadratic polynomial whose zeroes are 2 and 3/5 Q.37) If and are the zeroes of the quadratic polynomial f(x) = kx2 + 4x + 4 such

that 2 + 2 = 24, find k.

Q. 38) In the figure, if the coordinates of the points A and B are (-1,0) and (3,0) respectively. Find

the Polynomial.

Q.39) If p(x) = 3x2 6x + 3 , find the sum and product of the zeroes. Form a

polynomial having sum and product as 3 + 2 and 2 + 3.

Q .40)Find the value of k for which x4 + 10x3 +25x2 +15x + k is exactly divisible by x + 7. Q.41)Divide 4x3 + 2x2 + 5x 6 by 2x2 + 3x + 1 and find quotient and remainder.


zeroes taken two at a time as 3, - 5, - 11 respectively.


zeroes taken two at a time as 4, - 12, - 3 respectively.

Real Numbers

Submission Date: - 22 June 2015

Using Euclids Division Algorithm, find the HCF of:-

Q.1) 65 and 170

Q.2) 1264 and 82

Q.3) 2165 and 272

Q.4) Using Euclids Division Algorithm, show that the cube of any positive integer is of the form 9p, 9p

+ 1 or 9p + 8, where p is some integer.

Find the HCF and LCM of the given integers, using the prim factorization method:

Q.5) 25, 50, 145

Q.6) 50, 160 and 400

Q.7) 40, 110 and 360

Q.8) 80, 90 and 250

Q.9) Check whether 4n, where n is a natural number, ends with the digit zero.

Q.10) Prove that 7 is an irrational number.

Q.11).state whether the following rational number will have a terminating. Decimal expansion or a non-

terminating repeating decimal expansion.

(i) 7/20 (II) 3/13 (III) 8/125 (IV) 5/8 (V) 7/12

Q.12) Using Fundamental Theorem of Arithmetic, find the LCM of 4052 and 12576.

Q.13) If HCF (612, 1314) = 18, find the LCM (612, 1314).


Q.15) State Fundamental Theorem of Arithmetic.


Q.17) Prove that 2 +7 is an irrational number.

Q.18) Prove that 3 - 7 is an irrational number.

Q.19) Prove that 4+ 37 is an irrational number.

Q.20) Prove that 7 +5 is an irrational number.

Q.21) Prove that 1/5 is an irrational number.


Q.23) Find the smallest number which when increased by 17 is exactly divisible by both 520 and 468

Q.24) State Euclids Division Lemma

Q.25) Using Euclids Division Algorithm, find the HCF of 65 and 170

Q.26) Using Fundamental Theorem of Arithmetic, find the LCM of 4052 and 12576

Q.27) Show that any positive integer is of the form 4p, 4p +1or 4p + 2, 4p +3(p is some integer)

Q.28) show that square of any positive integer is of the form 3m, 3m+1 (p is some integer


Q.30) without actually performing division, state whether

will have a terminating decimal expansion

or a non-terminating repeating decimal expansion

Q.31) Given L.C.M. (306, 657) = 22338, find H.C.F.(306, 657).

Q.32) Use Euclids Division Lemma to find the H.C.F. of 135 and 225 Q.33) Show that 32 is irrational. Q.34) Prove that 3 + 2 5 is irrational. Q.35) A sweet seller has 420 kajubarfis and 130 badambarfis. She wants to stack them in such a way that each stack has the same number, and they take up the least area of the tray. What is the maximum number of barfis that can be placed in each stack for this purpose? Q.36) Use Euclids division algorithm to find the HCF of : (i) 135 and 225 (ii) 196 and 38220 (iii) 867 and 255 Q.37) Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some integer. Q.38) Find the LCM and HCF of 6 and 20 by the prime factorization method. Q.39) Find the HCF of 96 and 404 by the prime factorization method. Hence, find their LCM. Q.40) Find the HCF and LCM of 6, 72 and 120, using the prime factorization method. Q.41) Find the value of y if the HCF of 210 and 55 is expressible in the form 210 x 5 + 55y Q.42) Prove that no number of the type 4K + 2 can be a perfect square. Q.43) Express each number as a product of its prime factors :(i) 140 (ii) 156 (iii) 3825 (iv) 5005 (v) 74 Q.44) There is a circular path around a sports field. Sonia takes 18 minutes to drive one round of the field, while Ravi takes 12 minutes for the same. Suppose they both start at the same point and at the same time, and go in the same direction. After how many minutes will they meet again at the starting point? Q.45) Let p be a prime number. If p divides a2, then p divides a, where a is a positive integer. Q.46) Show that 5 3 is irrational. Q.47) The following real numbers have decimal expansions as given below. In each case,decide whether they are rational or not. If they are rational, and of the form p /q what can you say about the prime factors of q? (i) 43.123456789 (ii) 0.120120012000120000. . . (iii) 43.123456789



CLASS XII

HINDI

. ."X& 0 2

A data member Fuel of type float

A member function CALFUEL() to calculate the value of Fuel as per the following criteria

Distance Fuel

2. Common Wealth International Bank provides three types of loans car loan, House loan,

Education loan. The following is the Interest rate and discount calculation form.

a) Write code for Clear button to clear all textfields and set car loan as default loan type.

b) Write code for Show Interest Amount Button to show the interest amount in the given textfield as

per the following criteria:

Car loan 10%

House loan 8.5%

Education loan 5%

c) Write code for calculate discount button to find discount on an amount and net amount.

The bank provides discount on loan amount according to the following criteria:

If amount < = 10,000,00 then 0.20 % discount

If amount > 10,000,00 then 0.25 % discount.

Net amount = loan amount discount amount

d) Write the code for exit button to close the application.

PHYSICS

GENERAL INSTRUCTIONS:

A: The numerical are based on application of theory content. Attempt them in your

physics notebook as practice assignment.

B: Do all questions in sequence.

UNIT I: ELECTROSTATICS

1. Can a metal sphere of radius 1cm hold a charge of 1coulomb? Justify your answer.

2. Force acting on a charged particle kept between the pair of plates, having equal and

opposite charge, is F. If one of the plates is removed, find the force acting on the

same particle.

3. The plates of a parallel plate system are charged up to 100V. A 4mm thickness

dielectric slab is inserted between the plates. Then to maintain the same potential

difference, the distance between the systems plates are increased by 2mm. find the

dielectric constant.

4. A point charge placed at any point on the axis of an electric dipole at some large

distance experiences a force F. Find the force acting on the point charge when its

distance from the dipole is quadrupled.

5. In the electric field of a point charge q, the four points A,B,C and D are equidistant

from q, however AB>AC>AD. Calculate the work done in taking a unit charge along AB,

AC and AD.

6. N identical spherical drops charged to the same potential V is combined to form a big

drop. Find the potential of the new big drop formed.

7. An electron is projected with an initial speed of 25105 m/s directly towards a proton

which is at rest. Initially the electron is supposed to be at a fairly large distance from

the proton. Find the distance of the electron from the proton when its instantaneous

speed becomes twice the initial speed.

8. Two conducting spheres one of radius 6cm and the other of radius 12cm each carrying

310-8C are placed very par apart. If these spheres are connected by a conducting

wire, find the direction of motion and the magnitude of charge transferred.

9. A solid metal disc of radius R rotates with constant angular velocity about its axis.

Calculate the electric field E at a distance x from the axis and the potential

difference V between the centre and the edge of the disc.

10. Three charges of +0.1C each is placed at the corners of an equilateral triangle, 1m

side. If energy is supplied at the rate of 1kW, how many days would be required to

move one of the charges to the midpoint of the line joining the other two?

11. A parallel plate capacitor is made by stacking n equally spaced plates connected

alternatively. If the capacitance between any two plates is C, determine the resultant

capacitance of the combination.

12. Three identical charges each +q are placed at the corners of an equilateral triangle of

side d cm. Calculate the force on a +ve charge +2q at the centroid of the triangle.

13. When two capacitors are connected in series, the effective capacitance is 2.4F and

when connected in parallel, the effective capacitance is 10F. Calculate the individual

capacitances.

14. Two fixed charges -2Q and Q are located at the points with co-ordinates (- 3a,0) and

(+3a,0) respectively in the x-y plane. Show that all the points in the x-y plane where

the electric potential due to the two charges is 0, lie on a circle. Find its radius and

location of its centre.

15. Two square metallic plates of side 1.5m are kept 0.015m apart like a parallel plate

capacitor, in air in such a way that one of their edges is perpendicular to an oiled

surface in a tank filled with insulating oil. The plates are connected to a battery of

EMF 600V. The plates are then lowered vertically into the oil at a speed of 0.002m/s.

Calculate the current drawn from the battery during the process(dielectric constant

of oil=12)

16. A charged particle is free to move in an electric field. Will it always move along the

electric lines of force?

17. Two point charges +q and -q are placed at a distance d apart. What are the points at

which the resultant field is parallel to the line joining the two charges?

18. Two copper spheres of same radii, one hollow and the other solid are charged to the

same potential. Which of the two will have same charge?

19. You are given three capacitors of value 2F, 3F, 6F. How will you connect them to a

resultant capacity of 4F?

20. Can you create an electric field in which all the lines of force are parallel but their

density increases continuously in a direction perpendicular to the lines of force? Give

reason.

21. Can you suggest an arrangement of three point charges separated by some finite

distance that has zero electric potential energy?

22. Calculate the work done by the electric field of the nucleus in a complete circular

orbit of an electron. Is there any change in this work if the orbit is elliptical?

23. The given graph shows the variation of charge q verses potential difference for two

capacitors C1 and C2 .The capacitors have same plate separation, but the plate area of

C2 is double that of C1.Identify the line in the graph corresponding to C1 & C2 and

why?

Unit-II: Current Electricity

1. In a hydrogen atom, an electron moves in an orbit of radius 4.8 x 10-11m with a speed

of 2.5 x 10 6 m/s. Find the equivalent current.

2. Amount of charge passing through the cross section of a wire is q (t) =at2+bt+c.Write

the dimensional formula for a, b and c. If the values of a, b and c in SI unit are 6, 4, 2

respectively. Find the value of current at t=6 seconds.

3. One metre long metallic wire is broken into two equal parts P and Q. The part P is

uniformly extended into another wire R. Length of R is twice the length of P and the

resistance of R is equal to that of Q. Find the ratio of the resistances of P and R and

also the ratio of lengths of P and Q.

4. The area of cross section, length and density of a piece of a metal of atomic weight

60 are 10-6 m2, 1.0 m and 5 x 103 kg/m3 respectively. Find the number of free

electrons per unit volume of every atom that contributes one free electron. Also find

the drift velocity of electron in the metal when a current of 16A passes through it.

Avogadro no.=6x1023 per gram per mole.

5. An n-type Silicon sample of width 4x 10-3 m thickness 25x10-4m and length 6 X 10-2

m carries a current of 4.8mA.When the voltage is applied across the length of the

sample what is the current density? If the free electron density is 1022 /m3 then find

how much time does it take for the electrons to travel the full length of the sample?

6. The length and radii of 3 wires of same metal are in the ratios 2:3:4 and 3:4:5

respectively. They are joined in parallel and included in a circuit having 5A current.

Find the current in each case.

7. A galvanometer together with an unknown resistance in series is connected across 2

identical cells each of emf 1.5V. When the cells are connected in series the

galvanometer records a current of 1A and when the cells are connected in parallel the

current is 0.6 A .What is the internal resistance of each cell?

8. An electric bulb rated for 500 Watt at 100 V is used in circuit having a 200 V supply.

Calculate the resistance R that must be put in series with the bulb s that the bulb

delivers 500 watt.

9. A heater is designed to operate with a power of 1000 watt in a 100 V line. It is

connected in combination with a resistance of 10 and a resistance R, to a 100 V mains

in series. What should be the value of R so that the heater operates with a power of

62.5 watt?

10. An electric kettle has 2 heating coils. When one of the coils is switched on , the kettle

begins to boil in6 min and when the other coil is switched on , the boiling begins in 8

min. In what time will the boiling begin if both the coils are switched on

simultaneously: a) in series b)in parallel

11. One kilowatt electric heater is to be used with 220 V d.c supply. a)What is the

current in the heater? b) What is its resistance? c) What is the power dissipated in

the heater d) how much heat in calories is produced per second? e) How many grams

of water at 1000C will be converted per minute into steam at 1000C with the heater?

Radiation losses are negligible. Latent heat of steam = 540 cal /g.

12. A potentiometer wire of length 100 cm has a resistance of 100 ohm. It is connected in

series with a resistance and a battery of emf 2V and of negligible internal resistance.

A source of emf 10mV is balanced against a length of 40cm of the potentiometer.

What is the value of the external resistance?

13. Two wires A and B of the same material and having same length have their cross

sectional area in the ratio1:4. What would be the ratio of heat produced in these

wires when same voltage is applied across each?

14. Two wires of the same material having lengths in the ratio 1:2 and diameters in the

ratio 2:3 are connected in series with an accumulator. Compute the ratio of p.d across

the two wires.

15. A uniform wire of resistance R is shaped into a regular n sided polygon, where n

is even. Find the equivalent resistance between 1) opposite corners of the polygon 2)

adjacent corners of the polygon.

16. If the current supplied to a variable resistor is constant, draw a graph between

voltage and resistance.

MATHS

S.No. Chapter Exercise & Q.No. Example No.

1 Relations & Functions 1.1 , Q - 6,8,9

1.2 , Q - 3,5,7,9

1.3, Q - 6,7,8,9

1.4 , Q - 2,8,9

5, 12, 17, 25,

46

2 Inverse Trigonometric Functions 2.1, 2.2 & Misc. all questions -

3 Matrices 3.3, Q - 5, 10 (Part 2,3)

3.4, Q - 16,17

24, 25

4 Determinants 4.1, Q-4,7

4.2, Q - 5,9,10

4.3, Q - 3,4

4.4, Q - 3,4

4.5, Q - 13,15

4.6, Q - 12, 14, 15

33, 34

ENGLISH

1. Note-making passages any 3 from Newspaper.

2. Writing skills covering all the topics, collect 5 paper cuttings

from the Newspaper.

kendriya vidhyalaya, cisf (rtc),’a’, thakolamग5ब र ,अकबर श न ३...

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