Rabindranath World School

W-10/3120, DLF Phase III, Gurgaon (HR).

HOLIDAY HOMEWORK (2024-25)
Class – X

ENGLISH
Q1) Create a portfolio( hand-crafted folder )including self-introduction, strengths, weaknesses,
aspirations, hobbies/interests etc. Don’t forget to add creative corner.

Q2) Design a ‘Travel Brochure’ of your favourite place. Write about the location, ways to reach
there, weather, best time to visit, hotels, the flora and fauna,culture, food, suggested activities etc.

Q3) Attempt five case-based comprehension passage.

Q4) Revise literature lessons and poems done so far.

MATHEMATICS

WORKSHEET I
REAL NUMBERS

1. If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is
(A) 4 (B) 2 (C) 1 (D) 3

2. The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is
(A) 13 (B) 65 (C) 875 (D) 1750

3. If two positive integers a and b are written as a = x3 y2 and b = xy3 ; x, y are prime numbers,
then HCF (a, b) is
(A) xy (B) xy2 (C) x 3 y3 (D) x2 y 2

4. If two positive integers p and q can be expressed as p = ab2 and q = a3 b; a, b being prime
numbers, then LCM (p, q) is
(A) ab (B) a2 b2 (C) a3 b2 (D) a3 b3

5. The product of a non-zero rational and an irrational number is

(A) always irrational
(B) always rational
(C) rational or irrational
(D) one

6. The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is
(A) 10 (B) 100 (C) 504 (D) 2520

7. The decimal expansion of the rational number 14587/ 1250 will terminate after:
(A) one decimal place
 (B) two decimal places
(C) three decimal places
(D) four decimal places

8. The numbers 525 and 3000 are both divisible only by 3, 5, 15, 25 and 75. What is HCF (525,
3000)? Justify your answer.

9. Explain why 3 × 5 × 7 + 7 is a composite number.

10. Can two numbers have 18 as their HCF and 380 as their LCM? Give reasons.

11. Show that 12n cannot end with the digit 0 or 5 for any natural number n.

12. Prove that √3 + √5 is irrational.

13. On a morning walk, three persons step off together and their steps measure 40 cm, 42 cm and
45 cm, respectively. What is the minimum distance each should walk so that each can cover the
same distance in complete steps?

WORKSHEET 2
POLYNOMIALS

1. If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is

(A) 10 (B) –10 (C) 5 (D) –5

2. A quadratic polynomial, whose zeroes are –3 and 4, is

(A) x2 – x + 12
(B) x2 + x + 12
𝑥2 𝑥
(C) 2 − 2 − 6
(D) 2x2 + 2x –24

3. The number of polynomials having zeroes as –2 and 5 is

(A) 1 (B) 2 (C) 3 (D) more than 3

4. 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

5. 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

6. Find the zeroes of the following polynomials by factorisation method and verify the relations
between the zeroes and the coefficients of the polynomials:
1. 4x2 – 3x – 1 2. 3x2 + 4x – 4

7. For each of the following, find a quadratic polynomial whose sum and product respectively of
the zeroes are as given. Also find the zeroes of these polynomials by factorisation.
(i) –8/ 3 , 4/ 3
 (ii) 21/ 8 , 5 /16
(iii) –2 √3, – 9
(iv) –3 /2 √5 , 1 /– 2

8. Given that √2 is a zero of the cubic polynomial 6x3 + √2 x2 – 10x – 4 √2 , find its other two
zeroes.

WORKSHEET 3
PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

1. Graphically, the pair of equations 6x – 3y + 10 = 0 2x – y + 9 = 0 represents two lines which

are
(A) intersecting at exactly one point.
(B) intersecting at exactly two points.
(C) coincident.
(D) parallel.

2. The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have

(A) a unique solution
(B) exactly two solutions
(C) infinitely many solutions
(D) no solution

3. If a pair of linear equations is consistent, then the lines will be

(A) parallel
(B) always coincident
(C) intersecting or coincident
(D) always intersecting

4. The pair of equations y = 0 and y = –7 has

(A) one solution
(B) two solutions
(C) infinitely many solutions
(D) no solution

5. The pair of equations x = a and y = b graphically represents lines which are

(A) parallel
(B) intersecting at (b, a)
(C) coincident
(D) intersecting at (a, b)

6. If x = a, y = b is the solution of the equations x – y = 2 and x + y = 4, then the values of a and b

are, respectively
(A) 3 and 5
(B) 5 and 3
(C) 3 and 1
(D) –1 and –3

7. Solve the following pair of linear equations:

21x + 47y = 110
47x + 21y = 162

8. Draw the graphs of the pair of linear equations x – y + 2 = 0 and 4x – y – 4 = 0. Calculate the
area of the triangle formed by the lines so drawn and the x-axis.
9. For which values of a and b, will the following pair of linear equations have infinitely many
solutions?
x + 2y = 1
(a – b)x + (a + b)y = a + b – 2

10. Write an equation of a line passing through the point representing solution of the pair of linear
equations x + y = 2 and 2x – y = 1. How many such lines can we find?

11. Draw the graph of the pair of equations 2x + y = 4 and 2x – y = 4. Write the vertices of the
triangle formed by these lines and the y-axis. Also find the area of this triangle.

12. Two years ago, Salim was thrice as old as his daughter and six years later, he will be four years
older than twice her age. How old are they now?

13. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio
becomes 4 : 5. Find the numbers.

14. Jamila sold a table and a chair for Rs 1050, thereby making a profit of 10% on the table and
25% on the chair. If she had taken a profit of 25% on the table and 10% on the chair she would
have got Rs 1065. Find the cost price of each.

15. Ankita travels 14 km to her home partly by rickshaw and partly by bus. She takes half an hour
if she travels 2 km by rickshaw, and the remaining distance by bus. On the other hand, if she
travels 4 km by rickshaw and the remaining distance by bus, she takes 9 minutes longer. Find
the speed of the rickshaw and of the bus.

16. A two-digit number is obtained by either multiplying the sum of the digits by 8 and then
subtracting 5 or by multiplying the difference of the digits by 16 and then adding 3. Find the
number.

17. A railway half ticket costs half the full fare, but the reservation charges are the same on a half
ticket as on a full ticket. One reserved first class ticket from the station A to B costs Rs 2530.
Also, one reserved first class ticket and one reserved first class half ticket from A to B costs Rs
3810. Find the full first class fare from station A to B, and also the reservation charges for a
ticket.

18. Susan invested certain amount of money in two schemes A and B, which offer interest at the
rate of 8% per annum and 9% per annum, respectively. She received Rs 1860 as annual
interest. However, had she interchanged the amount of investments in the two schemes, she
would have received Rs 20 more as annual interest. How much money did she invest in each
scheme?

19. Determine, algebraically, the vertices of the triangle formed by the lines
3x – y = 3
2x - 3 y = 2
x+2y =8

20. The angles of a cyclic quadrilateral ABCD are ∠A = (6x + 10)°, ∠B = (5x)° ∠C = (x + y)°, ∠D
= (3y – 10)° Find x and y, and hence the values of the four angles.
SCIENCE
1. Read the activities given in Ch-1 NCERT and prepare a 4 minutes video on any one activity
based on the activities given or any other innovative activity.

OR

Read the topic "How to prepare a natural indicator?”. Then prepare the indicator, make the video of
checking acidic and basic substances using that indicator

Send the prepared video on the teachers' mail id- sy14243@gmail.com

2. Prepare a presentation/project on the chemical composition of 10 common medicines and edible

items (5 each). Presentation should be in soft copy and mailed on teachers' school id or Project
should in hard copy.

3. Read the chapter "Chemical reactions and equations” and “Acids, bases and salts". Prepare 20
questions along with answers (hard copy).

4. Select an appropriate diagram from the chapters in your syllabus and draw the well labelled
diagram on the chart paper.

Prepare a 10 days diet chart of everyday meals mentioning the different sources of all nutrients
(Carbohydrates, Fats, Proteins, Vitamins and Minerals).

5. Plant a sapling at your home. Water it regularly and take images of its regular growth. Make a
collage of its images (hard copy).

OR

Take images of plants/trees at your home along with collage of those images (hard copy).

6. Read chapter – Life-processes and make 20 questions along with answers (hard copy).

COMPUTERS

Activity 1- Draw/paste the pictures of most popular web browsers in your notebook.

Activity 2- Make a power point presentation (10 slides) about different web services.

ART EDUCATION

- make three stones art on stone. Size should be 4 inches of stone

 Holiday Homework
Class 10
Social science (2024-25)
I. Prepare project file on any of the following topic prescribed by CBSE -
consumer rights/Sustain able developm en t/Any social issues.
INSTRUCTIONS:
1. Organize the collected matter into an A4 size file.
2. Collect pictures and paste them appropriately.
3. Draw graphs showing the data where appropriate.
4. Pages should be arranged in a proper sequence-
5. lf possible, different forms of Art may be integrated in the project work.
6. Use eco-friendly products without incurring too much expenditure.
7. The Project Report should be handwritten by the students themselves on A4 size
PATTERN OF THE PROJ ECT FJLE:
1. Cover page - Project Title, school name, session, class, subject , name of the student
2. First page-Project title, subject, session, name of the student, class/ section
3. Acknowledgment- Acknowledging the individuals/ institutions who helped in making to
project
4. I ndex- Wi th page num bers
5. Introduction- Purpose and aim of the project
6. Content- Present material/ data/ statistics with related pictures, pie charts, bar graphs,
cartoon s, slogans, maps etc. on the left side of the file to make a quality project.
7. Concl usion- Draw a relevant conclusion by mentioning the learning outcome and
suggestion
8. Last page- Bibliography
9. There should be minimum 20-25 pages in all.
*Make a Project File on the given topic as per the given format.
Roll Number (1-7)

Consumer Awareness
The level of understanding and knowledge that individuals have about their rights and obligations
as consumers is referred to as consumer awareness. It entails being knowledgeable about product or
service options, recognising one’s market rights, and being aware of the potential dangers and
advantages of consumer decisions.

Consumer education is critical for empowering people to make educated decisions and protect
themselves from unfair practises or scams. Consumers who are aware of their rights can actively
participate in the marketplace, demand high-quality goods and services, and hold corporations
accountable for their activities.

Econ omi cs Topic -Consumer Awareness

Su b-topics:
1. Introduction
2. 'Ex ploitation of consu mers in marketplace
3. Consum er Protection Act-1986 (Consumer Rights)
4. Consum er Protection Act 20 19.
5. Con su m er Redressal Process (Case Stud y)
Conclusion
Note: Use related articles, pictures, slogans, sta tistics etc. to ma ke a quali ty project.
R efer Chapter 5 (Consu mer Awareness) of Economi cs book.

ROLL NO .8-16

Political Scien ce: - Topic - Social Issues: - Gender Inequality in India

Su b Topic -

1. Introduction (Define and explain the term/topic)

2. Overview of the Gender Inequality in India
3. Fa ctors Affecting the Gender Inequa lity
4. Differen t areas/domains w here women face discrimination
5. The Consequen ces of discrimination
6. Strategies for Narrowing the Gender Inequality (Governm ent's Initiative- Laws
:and Policies)
7. Your own Findings and Recommendations
8. Conclusion
9. Suggestions
10. Bibliography
Roll Nos. 17 onwa rds

Geography Topic-Sustainable Development

Subtopic:-

1. Define su stainable development.

2. Sustainable developmen t --Agenda 2030.
3. List the Goals of SDG 2030, SDG -Write total 17 Goals
• Goal No: 1 End poverty
• Goal No: 3 Good health and well being
• Goal No: 5 Gender Equality
4. Define all these terms
5. List the goals within a goal: and write down the what are the initiatives taken by
the Government for Sustainable development Goal
6. What is the biggest challenge of SDG?
7. Why is the environmental dimension so important to the success of the new
AGENDA?
8. What does “No Left Behind” mean in the context of the sustainable Development
Goal?
9. How can we say that that India follows a holistic approach towards its 2030 SDG?
• Government project
• Government Policy

Conclusion . Suggestions. Bibliography

ह द
िं ी

1) एक आकर्षक एवं स्वनिर्मषत (पोर्ष फोर्ियो) बिाइए |

2) निम्िर्िखित पाठों के आधार पर अपिी मौर्िकता का पररचय दे ते हुए एक हास्य - पुस्तक
(digital comic -book) का निमाषण कीजिए |
1) हररहर काका
2) सपिों के से ददि
3) बडे भाई साहब
िोर् :
1) अभद्र भार्ा का प्रयोग ि करें |

2) कायष मौर्िक एवं आकर्षक होिा चादहए|

3) कायष का प्प्रंर् आउर् एक फोल्डर में िगा कर ही िमा करें |

4) पष्ृ ठ संख्या कम- से -कम (10-12) होिी चादहए |

5) पुस्तक -आवरण पष्ृ ठ आकर्षक व प्वर्यािुरूप होिा चादहए |