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G.D. GOENKA PUBLIC SCHOOL, FARIDABAD
SUMMER HOLIDAYS HOMEWORK [2015-16]
CLASS – X
ENGLISH
Dear students,
Vacations are going to start. Enjoy the vacations along with a little bit of work, it will be a fun and
shall help you to learn more through practice as practice makes man prefect.
1. Words with similar sounds and same spellings and words with similar sounds and different
spellings form Homophones and Homonyms. It is interesting to note down such words and use
them in poems of your own. Prepare a Mini Book by writing 30 homophones and homonyms.
2. Many a times we forget the gifts given by God to us and try to misuse them against those who
are disabled in one way or the other. We should not forget that we all are God’s children and if
we are disabled we are all the more special as God provides the disabled with instincts which
helps them to rise in life. Helen Keller was one of them. Write the summary of the first five
chapters of the novel ‘Helen Keller’ in a file. Prepare a Chart depicting all the important incidents
in Keller’s life which helped her to write books.
3. Newspapers bring you the news from all over the world at your doorstep. Reading the
newspaper makes you aware of the various incidents and facts all over the world. Read the
newspaper and cut and paste important headlines in a scrapbook at least 20.
4. Education is important for man because if man has to live on this earth he should try to be aware
of the incidents and events happening around him. Make a poster depicting the importance of
education in the development and progress of a nation.
5. Do the first 6 worksheets of Me’n’ mine of Comprehension and writing section.
6. Prepare for a radio show which is an inter class competition.
7. Prepare Charts to be displayed on boards related to Literary devices, Synonyms and Antonyms.
8. Prepare for debate competition on the topic “Reality Shows affect Child’s personality”.
FRENCH
1)
2)
3)
4)
5)
6)
7)
8)
Solve the given Worksheets.
Paste pictures related to France and describe them (in general)
Solve the questions of Chapter 3 of Work Book.
Make a list of different tenses according to their position.
Write 2 sentences of each in form of PPT.
Describe how you have passed the summer vacation.
Write a dialogue between you and your friend about your future study.
Write a dialogue between you and others in a restaurant.
Explain COD & COI.
MATHS
CHAPTER: REAL NUMBERS
1. Express 140 as a product of its prime factors .
2. Find the LCM and HCF of 12, 15 and 21 by the prime factorization method.
3. Find the LCM and HCF of 6 and 20 by the prime factorization method.
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4. State whether13/3125 will have a terminating decimal expansion or a non-terminating repeating
decimal.
5. State whether 17/8 will have a terminating decimal expansion or a non-terminating repeating
decimal.
6. Find the LCM and HCF of 26 and 91 and verify that LCM × HCF = product of the two numbers.
7. Use Euclid’s division algorithm to find the HCF of 135 and 225
8. Use Euclid’s division lemma to show that the square of any positive integer is either of the form 3m
or 3m + 1 for some integer m
9. Prove that √3 is irrational.
10. Show that 5 – √3 is irrational
11. Show that any positive odd integer is of the form 6q + 1, or 6q + 3, or 6q + 5, where q is some
integer.
12. An army contingent of 616 members is to march behind an army band of 32 members in a parade.
The two groups are to march in the same number of columns. What is the maximum number of
columns in which they can march?
13. Write the condition to be satisfied by q so that a rational number p/q has terminating decimal
expansion.
14. Find the LCM and HCF of 17, 23 and 29 by the prime factorization method.
15. Find the HCF and LCM of 12, 36 and 160, using the prime factorization method.
16. State whether 6/15 will have a terminating decimal expansion or a non-terminating repeating
decimal.
17. State whether35/50 will have a terminating decimal expansion or a non-terminating repeating
decimal.
18. Find the LCM and HCF of 192 and 8 and verify that LCM × HCF = product of the two numbers.
19. Use Euclid’s algorithm to find the HCF of 4052 and 12576.
20. Show that any positive odd integer is of the form of 4q + 1 or 4q + 3, where q is some integer.
21. Use Euclid’s division lemma to show that the square of any positive integer is either of the form
3m or 3m + 1 for some integer m.
22. Prove that 3√2 + 5 is irrational.
23. Prove that 1/√2 is irrational.
24. In a school there are tow sections- section A and Section B of class X. There are 32 students in
section A and 36 students in section B. Determine the minimum number of books required for their
class library so that they can be distributed equally among students of section A or section B.
25. Express 3825 as a product of its prime factors.
26. Find the LCM and HCF of 8, 9 and 25 by the prime factorization method.
27. Find the HCF and LCM of 6, 72 and 120, using the prime factorization method.
28. State whether 29/343 will have a terminating decimal expansion or a non-terminating repeating
decimal.
29. State whether 23/ 23 52 will have a terminating decimal expansion or a non-terminating repeating
decimal
30.Find the HCF of the smallest composite number and smallest prime number.
31. Find the LCM and HCF of 336 and 54 and verify that LCM × HCF = product of the two numbers
32. Use Euclid’s division algorithm to find the HCF of 867 and 255
33. Show that every positive even integer is of the form 2q, and that every positive odd integer is of
the form 2q + 1, where q is some integer.
34. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m, 9lm +
1 or 9m + 8.
35. Prove that 7 √5 is irrational.
36. Prove that √5 is irrational.
37. 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?
38. Express 5005 as a product of its prime factors.
39. Find the LCM and HCF of 24, 36 and 72 by the prime factorization method.
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40. Find the LCM and HCF of 96 and 404 by the prime factorization method
41. State whether 64/455 will have a terminating decimal expansion or a non-terminating repeating
decimal
42. State whether15/ 1600 will have a terminating decimal expansion or a non-terminating repeating
decimal.
43. Find the LCM and HCF of 510 and 92 and verify that LCM × HCF = product of the two numbers.
44. Use Euclid’s division algorithm to find the HCF of 196 and 38220
45. Use Euclid’s division lemma to show that the cube of any positive integer is of the form 9m,9m + 1
or 9m + 8
46. Prove that one of any three consecutive positive integers must be divisible by 3.
47. Show that 3√ 2 is irrational.
48. Prove that 3 + 2 √5 is irrational.
49. A sweet seller has 420 kaju barfis and 130 badam barfis. 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?
50. State the fundamental Theorem of arithmetic.
CHAPTER: POLYNOMIALS [Year]
1. If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is
(B) –43
(C) 2/3
(D)–2/3
(A) 4/3
2. A quadratic polynomial, whose zeroes are –3 and 4, is
(A) X2 – x + 12
(B) x2 + x + 12
(C) x2/2 – x/2 -6
(D) 2x2 + 2x –24
3. If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then
(A) a = –7, b = –1
(B) a = 5, b = –1
(C) a = 2, b = – 6
(D) a = 0, b = – 6
4. The number of polynomials having zeroes as –2 and 5 is
(A) 1
(B) 2
(C) 3
(D) more than 3
5. If one of the zeroes of the cubic polynomial x3 + ax2 + b x + c is –1, then the product of the other
two zeroes is
(A) b – a + 1
(B) b – a – 1
(C) a – b + 1
(D) a – b –1
6. Find the zeroes of the polynomial x2 +1/6x – 2, and verify the relation between the coefficients and
the zeroes of the polynomial.
7. Find the zeroes of the following polynomials by factorization method and verify the relations
between the zeroes and the coefficients of the polynomials 2s2 – (1 + 2 √2) s + √2
8. Find a quadratic polynomial, the sum and product of whose zeroes are 2 and – 3/2,
respectively. Also find its zeroes.
9. If the remainder on division of x3 + 2x2 + k x +3 by x – 3 is 21, find the quotient and the value of k.
Hence, find the zeroes of the cubic polynomial x3 + 2x2 + k x – 18
10. Given that √2 is a zero of the cubic polynomial 6x3 + 2 x2 – 10x – 4 √2 , find its other two
zeroes.
11. Given that x – √5 is a factor of the cubic polynomial x3 – 3√5x2 + 13x – 3 √5, find all the zeroes of
the polynomial.
12. For which values of a and b, are the zeroes of q(x) = x3 + 2x2 + a also the zeroes of the
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polynomial p(x) = x5 – x4 – 4x3 + 3x2 + 3x + b? Which zeroes of p(x) are not the zeroes of q(x)?
13. Find a quadratic polynomial, the sum and product of whose zeroes are 0 and √5 respectively.
14. Find the quadratic polynomial, the sum and product of whose zeroes are 4 and 1, respectively
2
15. If a and b are the zeros of the quadratic polynomial f(x)= x -5x+4, find the value of 1/a + 1/b-2a b
4. Find the zeroes of the quadratic polynomial
2
16 . √3 x + 5 x - 2 √3 and verify the relationship between the zeroes and the coefficients.
17. Find the zeroes of the quadratic polynomial 4u2 + 8u and verify the relationship between the
zeroes and the coefficients
18. Find the quadratic polynomial, the sum and product of whose zeroes are √2 and 3 respectively.
19. If a and b are the zeros of the given quadratic polynomial f(x)= 5x2 - 7x + 1, find the value 1/a + 1/b
20. Find the zeroes of the polynomial x2 – 3 and verify the relationship between the zeroes and the
Coefficients
21. Find the remainder when p(x)= x3-6x2+2x-4 when divided by 1 - 2x.
22. Find the remainder when x51+51 is divided by (x+1).
23. Find all the integral zeros of x3 -3x2 - 2x + 6
24. Obtain all zeros of 3x4 + 6x3 - 2x2 - 10x - 5, if two of its zeros are √5/√3 and - √5/√3
25. If (x - 2) and [x – ½ ] are the factors of the polynomials qx2 + 5x + r prove that q = r
26. If the zeroes of the polynomial are 3x2 − 5x + 2 are a+ b and a- b, find a and b.
27. On dividing 2x2 + 3x + 1 by a polynomial g(x), the quotient and the remainder were 2x-1 and 3
respectively. Find g (x).
28. The zeroes of the quadratic polynomial x2 + 99x + 127 are
(A) both positive (B) both negative (C) one positive and one negative (D) both equal
29. The zeroes of the quadratic polynomial x2 + k x + k, k ≠ 0,
(A) cannot both be positive (B) cannot both be negative (C) are always unequal (D) are always equal
30. If the zeroes of the quadratic polynomial ax2 + bx + c, c ≠ 0 are equal, then
(A) c and a have opposite signs (B) c and b have opposite signs (C) c and a have the same sign (D) c
and b have the same sign
31. If one of the zeroes of a quadratic polynomial of the form x2+ax + b is the negative of the other,
then it
(A) has no linear term and the constant term is negative. (B) has no linear term and the constant term
is positive. (C) can have a linear term but the constant term is negative. (D) can have a linear term but
the constant term is positive.
32. The number of polynomials having zeroes as –2 and 5 is
(A) 1 (B) 2 (C) 3 (D) more than 3
33. Find the zeroes of 2x3 – 11x2 + 17x – 6.
34. Find the quadratic polynomial, the sum and the product of whose zeroes are 1/2, and –2
35. Find the values of m and n for which x = 2 and –3 are zeroes of the polynomial:
3x2 – 2mx + 2n.
36. Check whether x2 + 4 is factor of x4 + 9x2 + 20
37. Divide the polynomial (x4 + 1) by (x – 1) and verify the division algorithm.
38. Find all zeroes of x4 – 3x3 – 5x2 + 21x – 14, if two of its zeroes are √7 and – √7
39. 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).
40. Given that √2 is a zero of the cubic polynomial 6x3 + √2 x2 – 10x – 4 √2 , find its other two zeroes.
41. Find k so that x2 + 2x + k is a factor of 2x4 + x3 – 14 x2 + 5x + 6. Also find all the zeroes of the two
polynomials. 10. Given that x – √5 is a factor of the cubic polynomial
x3 – 3√ 5x2 +
13x – 3 √5 , find all the zeroes of the polynomial.
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• Project work : : Each student must prepare and submit one project from the below mentioned
topics.
Guidelines-(i) You can prepare a power point presentation or a file.
(ii)Credit will be awarded to original drawings, illustrations and creative use of materials.
1.Contribution and life history of any mathematician like Aryabhatta, Mahaviracharya, Bhaskaracharya
etc
2.History of ߨ.
3.Concept of zero and infinity.
SOCIAL SCIENCE
To create awareness about the disasters which are frequently experienced by our country, CBSE has
suggested some project. These projects are about NEPAL earthquake and KASHMIR floods. You are
expected to prepare a project on any one of the mentioned topics under the following guidelines:
Areas of occurrence
Causes
Impact on life, property and environment
How to safe guard ourselves (Safe Construction Practices)
First aid/ Medical facilities required
The role of community during the disaster (chosen by you).
The project work prepared by you should include the following:
a. Cover page
b. List of Content
c. Chapters with relevant headings
d. Appropriate pictures (they should be labeled)
e. Summary and conclusions
The length of project should include 10-15 handwritten pages. The size of papers/file should not be
more than A4 size. The project should be properly presented in a bound folder. Geography: In your
notebooks, do the following:
a. Soil Erosion and conservation practices: There should be only 2-3 written pages. Download the
pictures through internet on change in land use pattern in northern and north-western parts
of Rajathan.s
b. Collect and write information on tribal practices in saving natural Forests and wildlife.
BIOLOGY
NOTE: - Each child has to make a 3D model for the following topics specified according to your roll
numbers. Enrichment worksheet given has to be done in your Biology notebook.Do the assignment 1
and 2 of Goenkan assignment booklet of Ch-5 Life processes
ROLL NO. TOPICS
1-5 Model of a closed and open stomata
6-10 Structure of a human heart
11-17 Structure of human alimentary canal
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18-25 Human respiratory system
26-33 Make a power point presentation on working of heart
Answer the following questionsQ1. How does amoeba intake food? Briefly mention.
Q2. Write down the function of following
a.Villi
b. Bile juice
c. Mucus
d. Saliva
e. Liver
f. Stomata
g. Guard cells
h. Tongue
i. Trypsin
j. Amylase
k. Gastric juice
l. Large intestine
m. Vermiform Appendix
n. Stomach
Q3. Write the accessory glands of man. Write their role one each.
State the term used to transport of food from leaves to other parts of plant.
Q.4 In which part of body new RBC’s are synthesized?
Q.5 Where hormones are synthesized in plants?
Q.6 Name the blood vessels, which carry blood from heart to different parts of body.
Q. 7Name the blood vessels through which exchange of gases and waste materials take place.
Q.8 Which chambers of the heart receive blood?
Q.9 Name the two substances which lymph returns from circulation to tissues.
Q.10 Name the special muscle cells of heart.
Q.11 Why blood brought to right atrium has very little oxygen?
Q.12 Name the vein, which brings blood to left atrium from lungs.
Q. 13Name the major veins that pour blood into right atrium.
Q.14 Name the cells found in lymph. What is their function?
Q.15 Why lymph is called extracellular fluid?
Q.16 Name the excretory organs of vertebrates.
Q.17 Why brushing the teeth after eating is a good habit?
Q.18 Name the functional and structural unit of kidney.
Q.19 What is urethra?
Q.20 What happens to glucose which enters the nephron along with the filtrate?
Q. 21Which term is used for gradual softening of enamel and dentine of teeth?
Q.22 Why an aquarium fish open and close their mouths at regular intervals?
PHYSICS
Q1. If the charge of an electron is 1.6 x 10-19 c, how many electrons should pass through a conductor
in 1 second to constitute 1 ampere current ?
Q2. Will current flow more easily through a thick or a thin wire of the same wire of the same material
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when connected to the same source? Give reason for your answer.
Q3. How should the two resistances of 2 ohms each be connected so as to produce an equivalent
resistance of 1 ohm ?
Q4. A wire that has resistance R is cut into two equal pieces. The two parts are joined in parallel.
What is the resistance of the combination ?
Q5. A resistor has a resistance of 176 ohms. How many of these resistors should be connected in
parallel so that their combination draws a current of 5 amperes from a 220 volt supply line ?
Q6. Four resistances of 16 ohms each are connected in parallel. Four such combinations are
connected in series. What is the total resistance ?
Q7. Why is series arrangement not used for connecting domestic electrical appliances in a circuit ?
Q8. Define watt hour. How many joules are equal to 1 watt hour ?
Q9. In a house two 60 W electric bulbs are lighted for 4 hours, and three 100 W bulbs for 5 hours
everyday. Calculate the electric energy consumed in 30 days.
Q10. An electric fan runs from the 230 V mains. The current flowing through it is 0.4 A. At what rate is
electrical energy transferred by the fan ?
Q11. Explain why, tungsten is used for making the filaments of electric bulbs.
Note :
Study chapter 2- Magnetic Effect Of Electric Current.
CHEMISTRY
. Enrichment worksheet given has to be done in your chemistry notebook. Do assignment in Goenkan
assignment booklet related to chapter:
To solve N.C.E.R.T. exercise of chapter chemical reactions and equations in chemistry note book.
Chemical Reactions and equations: .
Enrichment worksheet
1. What are reactants ?
2. What are products ?
3. What is the term used for symbolic representation of a chemical reaction ?
4. What does the + sign between the reactants indicate ?
5. How is the salt solution in water indicated in a chemical reaction /
6. Aluminium burns in chlorine to form aluminum chloride. Write a balanced equation for this
reaction ?
9. Balance the following equation and add the state symbols :
Zn(s) + 2HCl(aq) → ZnCl2 + H2
8. Name the following reaction.
AB + CD → AD + BC
9. Aluminium metal displaces iron from ferric oxide (Fe2O2) giving aluminium oxide and iron. Which is
more reactive, aluminium or iron ?
10. Identify from the following reaction : H2S + Cl2 → 2HCl + S
a. Component oxidized
b. Oxidizing agent
11. Give one example of a redox reaction which is also a combination reaction.
12. Which atom is reduced on burning an element in air.
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13. When SO2 gas is passed through saturated solution of H2S, the following reaction occurs
SO2 + 2H2S → 2 H2O + 3S
In this reaction, which substance is oxidized and which one is reduced.
14. In the following reaction between lead sulphide and hydrogen peroxide
PbS(s) + 4H2O(aq) → PbSO4(s) + 4H2O(l)
a. Which substance is reduced b. which substance is oxydised.
15.When carbon dioxide is passed through lime water, it turns milky, why?
HINDI
inado-Sa – ga`IYmaavakaSa gaRhkaya- svacCta pUva-k pUNa- ikyaa jaae .
1– AaQauinak kala ko iknhIM dao kivayaaoM ka jaIvana pircaya va ]nakI kivataeÐ ilaiKe. yah kaya- caaT- pr
ikyaa jaae.
2–inamnailaiKt ivaYayaaoM pr iva&apna inamaa-Na kIijae– yah kaya- A3SaIT pr ikyaa jaae.
• sarkar kI ina :Saulk kMPyaUTr iSaxaa yaaojanaa hotu
• ‘r@tdana ‘ iSaivar hotu
3 saUcanaa laoKna– yah kaya- A4 SaIT pr ikyaa jaae .
o Aapko ivad\yaalaya maoM nao~ icaik%saa iSaivar lagaayaa jaa rha hO.p`Qaanaacaaya- kI Aaor sao Ca~aoM kao [sakI saUcanaa jaarI
kIijae.
o P`aQaanaacaaya- kI Aaor sao ivad\yaalaya maoM sqaapnaa idvasa ko Avasar pr Aayaaoijat haonao jaa rhI Kola p`ityaaoigata maoM Baaga
laonao hotu saUcanaa ilaiKe.
Computer:
Roll no 1-5 Create a collage of latest technologies .
Roll no 6-10 Collage of browsers
Roll no 11-15 Collage of IT personalities
Roll no 16-20 Collage of photo editing software
Roll no 21-25 Collage of operating systems
Roll no 26-30 Collage of types of memory devices
Roll no 30-35 collage of types of processors
•
•
Submit a hard copy and a soft copy of a collage and mail on [email protected]
Hard copy/ Print should be taken on A3 sheet only.
ART
Make two compositions on A 3 sheet using mixed media technique.
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