Class VI | Mathematics
1. Add the following a. 928584 and 146799 b. 3218925 and 4252918 c. 3296634, 4029963 and 1709510
2. Add and write the sum in words
a. 3968412 and 5332105 b. 137819 and 929519
3. Find the difference between the given numbers
a. 5050501 and 969696 b. 578397 and 298098
4. Multiply and express the product in words:
a. 5217 × 325 b. 2032 × 613
5. Divide and find the quotient and the remainder:
a. 16135 by 875 b. 46087 by 356
6. Find the product by suitable rearrangement
a. 2500 x 7 x 4 x 30 b. 625 x 279 x 16
7. Arrange the following numbers in descending order:
a. 1256 g, 2.16 kg, 2156 g, 65.12 kg, 6251 g b. 847125, 4217, 821745, 872373, 828145
8. Express as kilometres using decimals
a. 653m b. 2315m c. 34924cm d. 12m
9. A labourer gets 350 per day as daily wages. What would be his salary in the month of
February 2012, assuming he worked on all days of the month?
10. A merchant has 78,500 with him. He places an order for purchasing 30 DVD players at 2050 each. How much money will remain with him after the purchase?
11. Replace the * by the smallest number, so that a. 78*964 is divisible by 9 b. 9*8071is divisible by 11 c. 356*28 is divisible by 8 d. 15938* is divisible by 6
12. Write the Roman numerals for
a. 45 b. 99 c. 114 d. 263 e. 398 f. 998
13. Find the product of largest three digit number and the smallest four digit number.
14. Find all the even factors of 54.
15. Write all the multiples of 12 lying between 40 and 70.
16. Find the LCM of:
a. 15, 35, 45 b. 6, 16, 26 c. 40, 48, 45 d. 24, 16, 32
17. Find the HCF of:
a. 108, 54,144 b. 30, 35, 40 c. 240,180,540
18. Find the product using the distributive property of multiplication over addition or
subtraction. a. 3682 x 105 b. 568 x 88 + 568 x 12
19. The LCM and HCF of two numbers are 180 and 6 respectively. If one of the numbers is
30, find the other number
20. The HCF of two numbers is 16 and their product is 3072. Find their LCM.
21. Mira’s school is 4/5 km away from her house. Daily she walks a distance and then takes
a bus to travel 2/10 km to reach the school. How far does she walk?
22. A group housing society constructed 350 flats. If the cost of construction of each flat is 993570, find the total cost of construction of 350 flats.
23. Write all possible numbers using the digits 9, 0, 5. Repetition of digits is not allowed.
24. Find the largest number which divides 398, 436 and 542 leaving remainder 7, 11 and 15 respectively.
25. Find the place value of the digit 5 in each case. a. 5982346 b. 9452784 c. 92469523 d. 230597628
26. Fill in the blanks
a. 10 lakhs =__________ millions. b. 100 millions =____________ crores c. 1 crore = ___________ 100 lakhs d. ___________ millions = 10 hundred thousand.
27. Write number names as numerals.
a. Seven lakhs and fifty four thousand. b. Nine crore fifty three lakhs seventy four thousand five hundred and twenty three. c. Seventy two million three hundred thirty two thousand one hundred and twelve. d. Four million seventy two thousand and ninety four.
28. An empty box weighs 1kg 240g. If it weighs 19kg 70g when filled with oranges, find the
weight of the oranges.
1. Draw a colourful: National Emblem of India.
2.Draw a Globe
Written work
1. The total number of longitudes are —— 2. The total number of latitudes are —— 3. The value of the Prime Meridian is —— 4. The Antarctic Circle is located in which hemisphere —— 5. Arctic Circle is located in which hemisphere —— 6. Tropic of Cancer is located at —— 7. Tropic of Capricorn is located at —— 8. On Globe, the 0° is known as ——
3. Draw a Political Map of India and World —( Draw or Paste)
4 Make a list of all States and Capitals of India.
5. National and Regional Festivals. 1. What do you mean by National Festival? 2. Name any three National Festivals. 3. What do you mean by Regional Festival? 4. Collect/Draw some pictures of different festivals celebrated in your locality.
6. General Knowledge.
1. Who was the first President of India? 2. Who was the first PM of India? 3. Who is the current President of India? 4. Who is the current Vice President India? 5. Name India’s national bird/animal/sport? 6. How many States are there in India? 7. Which is the largest and smallest continent across the globe? 8. What are the tri-colors of National Flag? 9. Who composed the National Anthem? 10.Name the largest and smallest states of India?
7 Solar System.
Draw a colourful chart of the Solar System.
8. Draw an outline map of India and fill the following:
1.Ganga River
2.Indus River
3.Garo Hills
4.Vindhyas hills
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9. Draw a stone tools used by early man(as given in 2nd chapter History text book).
Written work: 1.What do you know about History? Why do we learn history?
2. What are the different sources to find out about the past? Name
them.
3. Who are Archaeologists? What is their role.
4. What do you mean by Manuscript and Inscription? Draw a picture of
manuscript and describe it?
A Palaeolithic age
B Mesolithic age
C New lithic age
6. Learn all the question answers of the first chapter from each book( geography, history and civics.)
(NOTE—All the holiday homework do and write in scrapbook or small drawing copy )
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1. Add : 45 + ( - 72) + 87 + ( -100) + 5
2. Find the product using suitable property : 126 X (-138 ) + ( -138 ) X ( - 26). Name the property used.
3. The product of two integers is 240. If one of them is - 12, then find the other.
4. Simplify : ( -90) +[( -125) ÷( - 25) ]+ 95
5. Simplify : 6 - [6 - {6 - ( 6 – 7 -3 )
6. Find the value of (- 38) + (- 4)
7. Find : -3 x 2 + 2 + 1
8. A square playground is 150m long. Find its area. A group of students arranged a picnic. Each student contributed Rs. 61. The total contribution was Rs.676. How many students are there in the group?
9. By selling oranges at the rate of Rs.3 per orange, a man gets Rs.210.How many oranges are there?
10.A film lasted for 3 hours. Out of this time 1 hour was spent on advertisement. What is the actual duration of the film?
11.Find the difference : 4.54355 - 2.08797
12.Add : 4.567 + 23 + 0.334 + 6.3
13.What should be added to 53.58, to get 83?
14.Subtract 13.456 from 28
15.Divide : 49.2 ÷ 6
16.Ram weighs 91.8 Kg. What will be his weight after losing 21.5 kg?
17.A wire is 3/10 m long. It is divided into 2 equal parts. What is the length of each
part?
19.Simplify 6 1/2 ÷4 1/3 -1/2
20.Find the area of the square whose each side is 19/5 cm.
21.Find the value of 4/15 X {1/4+5/6}
22.Find 3 rational numbers between -1/5 and -1/5 .
23.Find the difference between 3/5 of 30 km and 2/3 of 30 km.
24.A melon weights 1 3/4 kg .Workout the total weight of 8 1/4 melons .
25.Simplify 2 1/4 X 3/14 ÷ 12/7.
Holiday Homework of class Vll Social Science Creative Wor 1–Draw a Political map of India and fill the states and capital. 2–Draw a picture of a rock cycle? 3–Draw the structure of the earth (interior of the earth) ? 4-Collect some stones and paste it in your scrapbook ( like sand stone,marble ,limestone ,Granite etc.) And show the type of rocks .(like -Igneous rock,Sedimentary rock,and Metamorphic rock) 5–Draw a beautiful scenery with mountain, river,sky ,roads, houses,trees and birds etc .And locate the hydrosphere atmosphere Lithosphere and biosphere.( as show in your book) 6–Collect pictures of some monuments .( like -Taj Mahal, Lal Qila , Jama Masjid, Fatehpur Sikri) and find out which rocks were used to build them.
Written work: 1-Is coronavirus different from communicable disease? Explain. 2–What is ecosystem? How does it function ? 3–who was Amir Khusrau ? 4. Who was Ziyauddin Barani? 5–Who was the cartographer ? 6–Who was Minhaj-I-Siraj ? 7–How was the history of India divided by british ? 8–Write a brief note on the civil rights act of 1964? 9–Who was Rosa parks? 10–Define the following terms –
a. Atmosphere b. Hydrosphere c. Biosphere d. Lithosphere
11 -How do you feel when human beings disturb the natural environment? Write a short note in your own words. 12 -What are the differences between public health centres and private health centres ? ( Note— All the Holiday homework do and write in a scrapbook or small drawing copy whatever you have.)
HOLIDAY HOMEWORK CLASS VIII SCIENCE
Q.1 What are kharif crops and Ravi crops?.Give four example of each types of crops. Q2 What are agricultural practices ?Write the 7 agricultural practices given in your text book. Q3 What are Agriculture implements? Name the various implements. Q4 Give four differences between manures and fertilizers Q5 write short note on sprinkler system and drip system Draw the necessary diagram. Q6 The organic manures are considered better than fertilizers. Write four advantages of using Manures in the fields . Q 7 what are microorganisms? Name the device to observe microorganisms. Q 8Name the major groups of microorganisms. Q 9 Write five harmfull effects of microorganisms. Q 10 Write a short note on commercial uses of microorganisms. Q 11 What are communicable diseases. Name any two communicable diseases. Q12 Write a short note on food preservation? Mention various food preservation methods given in the chapter Q 13Why are potassium and sodium stored in kerosene? Q 14Can you store lemon pickle in an aluminium container? Give reason for your answer. Q15 Give differences between metals and nonmetals? Q16 Write a short note on uses of metals and nonmetals Q 17 What do you understand by the term malleability? Q 18what do you understand by the term ductility? Q 19Read the activity 4.3 given in your NCERT textbook draw the necessary diagram and answer the questions asked in the activity Q 20why is aluminium used for making foils for wrapping food items? Q 21 What do you understand by the term Pasteurization?
Write these Q Answers in your Home Work copy
SOCIAL SCIENCE HOLIDAY HOMEWORK
CLASS 8
1. Identify two countries from the world map everyday and learn them
2. Learn all the states and UT of India and locate them on the outline map
of India. You may draw the map yourself.
3. Learn questions and answers of lesson taught so far
4. Practice drawing the diagrams from lessons of your Geography book



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Holiday Homework
Summer Vacation
(a) 4
5 and
(a) (-2) and (-3) (b) 6 and 7
Q3 Express the following rational number in the form of
; p and q are integers and q≠0
(a) 0. 25 (b) 2.317 (c) 0. 241
Q4 Express 0.3 + 0. 3 + 0. 33 in the form of
.
(b) (√11 − 4)(√2 + 3)
(c) (6√5 − 2√3)(3√5 − 2√5)
(d) (11√2 + √2)(√2 + 3√2)
Q6 Simplify:
(a) 1
√7+√6 +
√18−7√3
Q7 Find the value of p and q if 7−√3
7+√3 +
7+√3
Q8 Represent the following irrational on the number line:
(a) √17 (b) √23 (c) √3
Q9 Represent √7.6 on the number line.
TOPIC: Polynomials
Q1 Find the value of p(0), p(1) and p(-2) for the polynomial () = 3 − 3 + 5
Q2 Find the zeros of the polynomial:
(a) 5 + 7 (b) 3 − 42 (c) 3 − 4
Q3 Using remainder theorem, find the remainder when the p(x) is divided by q(x)
(a) () = 24 + 3 + 4 − 3 − 2; () = − 3
(b) () = 53 − 72 + 13; () =
2 + 1
(c) () = 32 + − 1; () = + 1
Q3 If ( − 2) be a factor of the polynomial () = 23 + 32 − 5 + , find the value of
.
Q4 What is the value of p when 3 + 162 + 8 − 32 is divided by ( + 2), leaving a 0 as
remainder?
(b) 3 + 39 + 70
(d) 12533 + 273
(a) (4 − 3 − 2)2
(c) (2 − 5)3
Q9 Without actually calculating the cubes, evaluate: (a) (30)3 + (−18)3 + (−12)3
(b) (24)3 − (13)3 − (11)3
(a) 4
5 and
(a) (-2) and (-3) (b) 6 and 7
Q3 Express the following rational number in the form of
; p and q are integers and q≠0
(a) 0. 25 (b) 2.317 (c) 0. 241
Q4 Express 0.3 + 0. 3 + 0. 33 in the form of
.
(b) (√11 − 4)(√2 + 3)
(c) (6√5 − 2√3)(3√5 − 2√5)
(d) (11√2 + √2)(√2 + 3√2)
Q6 Simplify:
(a) 1
√7+√6 +
√18−7√3
Q7 Find the value of p and q if 7−√3
7+√3 +
7+√3
Q8 Represent the following irrational on the number line:
(a) √17 (b) √23 (c) √3
Q9 Represent √7.6 on the number line.
TOPIC: Polynomials
Q1 Find the value of p(0), p(1) and p(-2) for the polynomial () = 3 − 3 + 5
Q2 Find the zeros of the polynomial:
(a) 5 + 7 (b) 3 − 42 (c) 3 − 4
Q3 Using remainder theorem, find the remainder when the p(x) is divided by q(x)
(a) () = 24 + 3 + 4 − 3 − 2; () = − 3
(b) () = 53 − 72 + 13; () =
2 + 1
(c) () = 32 + − 1; () = + 1
Q3 If ( − 2) be a factor of the polynomial () = 23 + 32 − 5 + , find the value of
.
Q4 What is the value of p when 3 + 162 + 8 − 32 is divided by ( + 2), leaving a 0 as
remainder?
(b) 3 + 39 + 70
(d) 12533 + 273
(a) (4 − 3 − 2)2
(c) (2 − 5)3
Q9 Without actually calculating the cubes, evaluate: (a) (30)3 + (−18)3 + (−12)3
(b) (24)3 − (13)3 − (11)3
Q1 What are the characteristics of particles of matter?
Q2 Do you think Synthetic clothes are suitable for SUMMER SEASON?
Give reason for your answer.
Q3 Why can a Wooden table be called a SOLID?
Q4 What can cause severe burns Steam or boiled water?
Q5 Give differences between the three states of Matter
Q6 Explain the events that take place when a solid is heated and turns into a
liquid?
Q7 Draw a neat , well labelled diagram to show SUBLIMATION OF
Ammonium Chloride
Q 9 Learn the Definitions :
Solution
Q 10 Draw neat well labelled diagrams of the following:
2
4)Animal cell
5) Plant cell
Q 11 Write short notes on Hypotonic Solution, Isotonic Solution and
Hypertonic Solution
Write these Questions in your HW copy
SUMMER HOLIDAYS HOMEWORK SESSION 2020-21
CLASS X ENGLISH
KV AFS BAWANA 1- Do four exercises each of: (i) Editing (ii) Gap Filling. 2- Do three unseen passages of the following types: (i) Factual Passage (ii) Discursive Passage. 3- Do two story writing based on the starting lines and two story writing based on the outline. 4- Read and write the summary of the following chapters: (i) From the diary of Anne Frank (ii) The thief's story (iii) Two stories about flying. 5- Read an English newspaper daily. Write four headlines of the newspaper date wise. 6- Learn answers of the following chapters of the book 'First Flight': (i) A letter to God (ii) Dust of Snow (iii) Fire and Ice (iv) Nelson Mandela A Long Walk to Freedom 7- Learn answers of the following chapter of the book 'Footprints without Feet' : (i) A Triumph of Surgery


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Holiday Homework
Summer Vacation
Class X | Mathematics
TOPIC : REAL NUMBERS
Q1. Show that square of an odd positive integer is of the form 8q + 1, for some positive integer q.
Q2. If the HCF of 210 and 55 is expressible in the form 210 × 5 + 55y, find y.
Q3. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case.
Q4. Check whether 5n can end with the digit 0 for any natural number n.
Q5. If HCF of two numbers is 145 and their LCM is 2175. If one number is 725, find the other.
Q6. Prove that 5 + 2 √ 3 is an irrational number.
Q7. After how many places of decimals, the decimal expansion of 43
2453 will terminate?
Q8. State the fundamental theorem of Arithmetic.
Q9. Using prime factorization, find the HCM and LCM of 72, 126 and 168.
Also show that HCF x LCM ≠ product of the three numbers.
Q10. Express each of the following as the product of its prime factors.
(a) 6435 (b) 8085 (c) 2184
Q11. Using Euclid’s division algorithm, find the HCF of the following.
(a) 1288, 576 (b) 155, 1305 (c) 240, 1024
Q12.Show that every positive even integer is of the form 2q and every positive odd integer is of the
form 2q+1, where q is some integer.
Q13.The product of two numbers is 20736 and their HCF is 54, find their LCM.
TOPIC: POLYNOMIALS
Q1. If (x + k) is a factor of 2x² + 2kx + 5x + 10, find k. Q2. If α and β are the zeros of a polynomial p(x) = 3x² – 5x + 6, find (i) (α / β) + (β / α ) (ii) α³ + β³
Q3. Find all the zeroes of the polynomial f (x) = 2x4 – 3x³ – 5x² + 9x – 3, if two of its zeroes are ± √ 3.
Q4. Divide (3 – x + 2x² + x³ – 3x4 ) by (2 – x) and verify by division algorithm. Q5. If ‘1’ is one of the zeroes of the polynomial p(x) = 7x – x³ – 6. Find its other zeroes. Q6.Find the quadratic polynomial, sum and product of whose zeroes are 2 and – 1 respectively.
Q7. Find the quadratic polynomial whose zeroes are 2
3 and
−1
4 .
Q8.Find the polynomial whose zeroes are 2, 1 and – 1. What is its degree? Q9. Find the polynomial whose zeroes are reciprocals of the zeroes of the polynomial 2x² + 3x – 6. Q10. Find the ratio of the sum and product of the zeroes of the polynomial 5x² + 2x – 10. Q11. If the sum of the zeroes of the quadratic polynomial kx² + 2x + 3k is equal to their product, find k. Q12. Find the polynomial whose zeros are squares of the zeroes of the polynomial 3x² + 6x – 9. Q13 Find all the zeroes of the polynomial p(x) = x4 – 7x³ + 9x² + 13x – 4, if two of its zeroes are (2 +√ 3) and (2 - √ 3). Q14. What must be subtracted from 8x4 + 14x³ - 2x² + 7x – 8 so that the resulting polynomial is exactly divisible by 4x² + 3x – 2?
TOPIC: LINEAR EQUATIONS IN TWO VARIABLES
Q1. For the following system of equations, determine the value of k for which the given system of
equations has unique solution:
a) 2x – 3y = 1 ; kx + 5y = 7 b) 4x – 5y = k ; 2x –3 y = 12
Q2. Find the value of k, for which the system of equations has infinitely many solutions.
a) 2x –3y = 7 ; (k+2)x – (2k+1)y = 3(2k–1)
b) x + (k+1)y =5 ; (k+1)x + 9y = 8k – 1
Q3. Find the value of ‘k’ so that the following system of equations has no solution.
a) (3k+1) x+3y – 2 = 0 ; (k²+1) x + (k – 2) y –5 = 0
Q4.Solve the following system of equations:
1) x + 2y + 1=0, 2x –3 y = 12
2) 2x/a + y/b=2, x/a – y/b = 4
3) 3(2u+v) =7uv, 3(u+3v) = 11uv
4) 2x+y – 3=0, 2x – 3y –7 = 0
5) 5/(x + y) – 2/(x – y) = –1, 15/(x + y) + 7/(x – y) = 10
6) 1/5x +1/6y =12, 1/3x – 3/7y=8
Q5. Solve the following system of equations graphically.
a) x + y = 3, 2x + 5y = 12 c) x – 2y – 5 = 0, 3x – 6y = 15
b) 2x – 3y +13=0, 3x – 2y + 12 = 0 d) 3x – 4y –1=0, 2x – (8/3)y + 5 = 0
Q6.Represent the following equations on the graph and determine the vertices of the triangle,
so formed .
a) 2y – x = 8, 5y – x = 14, y – 2 x = 1
b) y = x, y = o, 3x + 3y = 10
Q7. Draw the graphs of x – y + 1 = 0 and 3x + 2y –12 = 0. Calculate the area of the triangle
bounded by these lines and the x-axis.
Q8. Solve the system of equations graphically x – y = 1, 2x + y = 8.Shade the area bounded
by these lines and x-axis. Also find its area.
Q9. A man has 40 belts and handkerchiefs in number. If he had 5 more handkerchiefs and 5 less belts,
the number of handkerchiefs becomes four times the number of belts. Find the original number of
each.
Q10. The numerator of a fraction is 4 less than its denominator. If the numerator is decreased by 2 and
the denominator is increased by 1, the denominator becomes 8 times its numerator. Find the fraction.
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SUB :- COMPUTER SCIENCE
CLASS :- XII A
Working with functions, File Handling, Recursion & Data
Structure.(All have been covered during Online Classes)
2. Explain the concept of following with their definition and one
program involving them : List ,Tuple , String , Dictionary
3. Explain different types of Python functions with example.
4. Define text and binary files in Python with one program of each.
(Program should contain both read & write operation on file)
5. What is recursion? Write program to calculate factorial using
recursion in python
6. Write a menu driven program that perform all the operations –
Push, Pop & traversal of a Stack.
VI ENGLISH
VI HINDI
VI MATHS