SUMMER BREAK HOLIDAYS HOMEWORK (2019-20)

CLASS X

हि�न्दी1. “स्वच्छ भारत एक कदम स्वच्छता की ओर” विवषय पर वि�बंध लि�खि�ए। 2. अप�ी कक्षा के कुछ छात्र छोटी कक्षाओं के विवद्यार्थि*+यों को सताते हैं इस समस्या के बारे में प्राचाय4 जी को पत्र लि��कर

बताए ंऔर कोई उपाय भी सुझाए। 3. आपके शहर में विवश्व पुस्तक मे�े का आयोज� हो�े जा रहा है इसके लि�ए 25 से 50 शब्दों में विवज्ञाप� तैयार कीजिजए। 4. आपकी अप�े विप्रय मिमत्र से विकसी बात पर अ�ब� हो गई *ी किक+तु अब आपको अप�ी ग�ती का एहसास हो गया है उसे

म�ा�े के लि�ए पत्र लि�खि�ए। 5. आप अप�ा घर बेच�ा चाहते हैं इसके लि�ए एक विवज्ञाप� तैयार कीजिजए।6. पढ़ाए गए पाठ को याद कीजिजए।7. रच�ा के आधार पर वाक्य एवं उसके भेद लि��कर स्पष्ट कीजिजए।8. कंप्यूटर की उपयोविगता विवषय पर 200 से 250 शब्दों में एक वि�बंध लि�खि�ए।9. रस की परिरभाषा एवं उसके भेद के उदाहरण लि��कर याद कीजिजए।

ENGLISHReading Section:

Four Comprehension passages

Writing Section:

Two letters to the Editor of a NewspaperTwo letters of complaintTwo letters of InquiryTwo Article WritingFour story Writing

Grammar Section:

Two Editing PassagesTwo Omission PassagesTwo exercises of Gap FillingTwo exercises of Sentence TransformationTwo exercises of jumbled sentences

Literature:

Revise the syllabus of Periodic Test 1 from the Supplementary Reader (Footprints without feet)  and Textbook(First Flight) 

SCIENCE1. Make assignment on the ‘sources of energy’.   2. Role play: - Imagine yourself an organ or organ system of human body and write

about structure and function of that organ or organ system.          3. Observe transpiration in a potted plant by using a polythene packet. Paste

photographs to show your observation. Write definition of transpiration and how it helps the plant.                 

4. Make a model based on the chapters of your book.                                                      5. Revise the chapters done in class and also complete the practical work in practical

file.          6. Collect 10 science related articles or news and paste them in notebook. 

SOCIAL SCIENCE

Q1 Read the following chapter carefully and prepare any 10 Questions from each chapter and write their answers.

(i) The rise of nationalism in Europe

(ii) Water resources

(iii) Federalism

(iv) Sectors of Indian Economy

Q2 write a note on followings: -

(i) Digital campaign in India

(ii) Aayushmaan Bharat

(iii) Ujjwala yojna

Q3 in India map show the followings- (Each in separate map)

(i) Soils found in India

(ii) 29 states of India

(iii) 7 union territories of India

(iv) State’s capitals in India

Q4 Project work: -

Prepare a file report on the Role of Govt./ Non-Government functionaries in your locality in disaster Management.

MATHEMATICS

CHAPTER 1REAL NUMBERMULTIPLE CHOICE QUESTIONS

1.  The decimal expanscion of number   has:      (a)   a terminating decimal(b)   non-terminating but repeating      (c)   non-terminating non repeating(d)   terminating after two places of decimal2.  The values of x and y in the given figure are:

              (a)   x = 10; y = 14(b)   x = 21; y = 84(c)   x = 21; y = 25(d)   x = 10; y = 403.  For any positive integer a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy :      (a)   0 ≤ r < 3(b)   1 < r < 3(c)   0 < r < 3(d)   0 < r ≤ 3

4.    is:      (a)   a rational number(b)   an irrational number      (c)   a prime number(d)   an even number5.  L.C.M. of 23 × 32 and 22 × 33 is :      (a)   23(b)   33(c)   23 × 33(d)   22 × 326.  The HCF and LCM of two numbers are 33 and 264 respectively. When the first number is completely divided by 2 the quotient is 33. The other number is:      (a)   66(b)   130(c)   132(d)   1967.  What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?      (a)   5(b)   6(c)   7(d)   none of these8.  What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of minutes?      (a)   17 m/min(b)   7 m/min(c)   13 m/min

(d)   26 m/min9.  Two natural numbers whose sum is 85 and the least common multiple is 102 are:      (a)   30 and 55 (b)   17 and 68 (c)   35 and 55 (d)   51 and 3410.  4 Bells toll together at 9.00 am. They toll after 7, 8, 11 and 12 seconds respectively. How many times will they toll together again in the next 3 hours?      (a)   3(b)   4(c)   5(d)   611.  A forester wants to plant 66 apple trees, 88 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also he wants to make distinct rows of trees (i.e., only one type of trees in one row). The number of minimum rows required are      (a)   2(b)   3(c)   10(d)   1212.  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)   313.  The largest number which divides 70 and 125, leaving remainders 5 and 8 respectively, is      (a)   13(b)   65(c)   875(d)   175014.  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

15.  The decimal expansion of the rational number   will terminate after      (a)   one decimal place( b)   two decimal places      (c)   three decimal places (d)   four decimal places

SAMPLE QUESTIONS

1.  Has the rational number   a terminating or a non-terminating decimal representation?2.  Prove that   is an irrational number.3.  (i)   Find the LCM and HCF of 120 and 144 by using Fundamental Theorem of Arithmetic.

      (ii)     find the values of m and n where m and n are non-negative integers.      Hence write its decimal expansion without actual division.4.  Prove that   is irrational.

5.  Express the number   in the form of rational number 

6.  The LCM of 2 numbers is 14 times their HCF. The sum of LCM and HCF is 600. If one number is 280, then find the other number.7.  The decimal expansion of π is:      (a)   terminating(b)   non-terminating and non-recurring      (c)   non-terminating and recurring(d)   doesn’t exist8.  Which of the following rational numbers have a terminating decimal expansion?

      (a)   

(b)   

(c)   

(d)   9.  If the HCF of 55 and 99 is expressible in the form 55m + 99, then the value of m is:      (a)   4 (b)   2 (c)   1 (d)   310.  Given that LCM (91, 26) = 182, then HCF (91, 26) is:       (a)   13 (b)   26 (c)   7 (d)   9

MULTIPLE CHOICE QUESTIONSPOLYNOMIALS

1. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is : (a)   x2 + 3x – 2(b)   x2 – 2x + 3(c)   x2 – 3x + 2(d)   x2 – 3x – 22.  If (x + 1) is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a – 3b = 4(a)   a = –1, b = –2(b)   a = 2, b = 5(c)   a = 5, b = 2(d)   a = 2, b = 03.  The number of zeroes that polynomial f(x) = (x – 2)2 + 4 can have is:(a)   1(b)   2(c)   0(d)   34.  The zeroes of the polynomial f(x) = 4x2 – 12x + 9 are:      (a)   

(b)   

(c)   3, 4(d)   –3, –45.  If p(x) is a polynomial of at least degree one and p(k) = 0, then k is known as      (a)   value of p(x)(b)   zero of p(x)      (c)   constant term of p(x)(c)   none of these6.  If p(x) = ax + b, then zero of p(x)      (a)   a(b)   b(c)   

(d)   

7.  Graph of a quadratic polynomial is a      (a)   straight line(b)   circle(c)   parabola(d)   ellipse8.  Zeroes of a polynomial can be determined graphically. No. of zeroes of a polynomial is equal to no. of points where the graph of polynomial      (a)   intersects y-axis(b)   intersects x-axis      (c)   intersects y-axis or intersects x-axis(d)   none of these9.  If graph of a polynomial does not intersects the x-axis but intersects y-axis in one point, then no, of zeroes of the polynomial is equal to      (a)   0(b)   1(c)   0 or 1(d)   none of these10.  A polynomial of degree n has      (a)   only 1 zero(b)   exactly n zeroes(c)   atmost n zeroes(d)   more than n zeroes11.  If p(x) = ax2 + bx + c, then   is equal to

      (a)   0(b)   1(c)   sum of zeroes(d)   product of zeroes12.  If p(x) = ax2 + bx + c, then   is equal to

      (a)   0(b)   1(c)   product of zeroes(d)   sum of zeroes13.  If p(x) = ax2 + bx + c, and a + b + c = 0, then one zero      (a)   

(b)   

(c)   

(d)   none of these14.  If p(x) = ax2 + bx + c and a + c = b, then one of the zeroes is

      (a)   

(b)   

(c)   

(d)   

15.  A quadratic polynomial whose one zero is 6 and sum of the zeroes is 0, is      (a)   x2 – 6x + 2(b)   x2 – 36(c)   x2 – 6(d)   x2 – 3

SAMPLE QUESTIONS

1.  For what value of k, (–4) is a zero of the polynomial x2 – x – (2k + 2)?(CBSE 2009)

2.  For what value of p, (–4) is a zero of the polynomial x2 – 2x – (7p + 3)?(CBSE 2009)

3.  If 1 is a zero of the polynomial p(x) = ax2 – 3(a – 1) x – 1, then find the value of a.(Al CBSE 2009)

4.  If (x + a) is a factor of 2x2 + 2ax + 5x + 10 find a.(Al CBSE 2008 F)

5.  Write the zeroes of the polynomial x2 + 2x + 1.(CBSE 2008)

6.  Write the zeroes of the polynomial x2 – x – 6.(CBSE 2008)

7.  Write a quadratic polynomial, the sum and product of whose zeroes are 3 and –2 respectively.(CBSE 2008)

8.  Write the number of zeroes of the polynomial y = f(x) whose graph is given in the figure.(Al CBSE 2008)

9.  The graph of y = f(x) is given in figure. How many zeroes are there of f(x)?(Al CBSE 2008 C)

10.  The graph of y = f(x) is given in the figure. What is the number of zeroes of f(x)?(CBSE 2008 C)

11.  What is the number of zeroes of the polynomial y = p(x)?(AI CBSE 2010)

12.  Find the zeroes of the quadratic polynomial 6x2 – 3 – 7x and verify the relationship between the zeroes and the coefficient of the polynomial.

(CBSE 2008)13.  Find the zeroes of the quadratic polynomial 5x2 – 4 – 8x and verify the relationship between the zeroes and the coefficient of the polynomial.

(AI CBSE 2008)14.  Find the quadratic polynomial, the sum of whose zeroes is 8 and their product is 12. Hence, find the zeroes of the polynomial.

(CBSE 2008)15.  If one zero of the polynomial (a2 – 9) x2 + 13x + 6a is reciprocal of the other, find the value of ‘a’.

(AI CBSE 2008)16.  If the product of zeroes of the polynomial ax2 – 6x – 6 is 4, find the value of ‘a’.

(AI CBSE 2008)17.  Find all the zeros of the polynomial x4 + x3 – 34x2 – 4x + 120, if two of its zeroes are 2 and – 2.

(AI CBSE 2008)18.  Find all the zeroes of the polynomial 2x4 + 7x – 19x2 – 14x + 30, if two of its zeroes are 

(AI CBSE 2008)19.  Find the quadratic polynomial whose zeroes are 1 and –3. Verify the relation between the coefficients and the zeroes of the polynomial.

(CBSE 2008 C)

20.  Find the zeroes of the quadratic polynomial 4x2 – 4x – 3 and verify the relation between the zeroes and its coefficients.

(CBSE 2008 C)21.  Obtain all other zeroes of the polynomial 2x3 – 4x – x2 + 2, if two of its zeroes are 

(CBSE 2008 C)22.  Find all the zeroes of x4 – 3x3 + 6x – 4, if two of its zeroes are 

(AI CBSE 2008 C)23.  Find a quadratic polynomial whose zeroes are –4 and 3 and verify the relationship between the zeroes and the coefficients.

(AI CBSE 2008 C)24.  Using division algorithm, find the quotient and remainder on dividing f(x) by g(x), where f(x) = 6x3 + 13x2 + x – 2 and g(x) = 2x + 1

(AI CBSE 2008 C)25.  If the polynomial 6x4 + 8x3 + 17x2 + 21x + 7 is divided by another polynomial 3x2 + 4x + 1 then the remainder comes out to be ax + b, find ‘a’ and ‘b’

(CBSE 2009)

26.  If the polynomial x4 + 2x3 + 8x2 + 12x + 18 is divided by another polynomial x2 + 5, the remainder comes out to be px + q. Find the value of p and q.

(CBSE 2009)27.  Find all the zeroes of the polynomial x3 + 3x2 – 2x – 6, if two of its zeroes are – 

(AI CBSE 2009)28.  Find all the zeroes of the polynomial 2x3 + x2 – 6x – 3, if two of its zeroes are – 

(AI CBSE 2009)29.  If α and β are zeroes of the quadratic polynomial x2 – 6x + a; find the value of ‘a’ if 3α + 2β = 20.

(CBSE 2010, 2011)

MULTIPLE CHOICE QUESTIONSPAIR OF LINEAR EQUATIONS IN TWO VARIABLES

1.  Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.       (a)  40       (b)  50       (c)  60       (d)  702.  8 girls and 12 boys can finish work in 10 days while 6 girls and 8 boys can finish it in 14 days. Find the time taken by the one girl alone that by one boy alone to finish the work.       (a)  120, 130       (b)  140,280       (c)  240,280       (d)  100,1203.  The sum of two digits and the number formed by interchanging its digit is 110. If ten is subtracted from the first number, the new number is 4 more than 5 times of the sum of the digits in the first number. Find the first number.       (a)  46       (b)  48       (c)  64       (d)  844.  A fraction becomes . when subtracted from the numerator and it becomes . when 8 is added to its denominator. Find the fraction.       (a)  4/12       (b)  3/13       (c)  5/12

       (d)  11/75.  Five years ago, A was thrice as old as B and ten years later, A shall be twice as old as B. What is the present age of A.       (a)  20       (b)  50       (c)  60       (d)  406.  What will be the solution of these equations ax+by=a-b, bx-ay=a+b       (a)  x=1, y=2       (b)  x=2,y=-1       (c)  x=-2, y=-2       (d)  x=1, y=-17.  If x=a, y=b is the solution of the pair of equation x-y=2 and x+y=4 then what will be value of a and b       (a)  2,1       (b)  3,1       (c)  4,6       (d)  1,28.  Rozly can row downstream 20km in 2 hours, and the upstream 4km in 2 hours. What will be the speed of rowing in still water?       (a)  6km/hr       (b)  4km/hr       (c)  3km/hr       (d)  7km/hr

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

1.  For what values of a and b does the following pair of equations have an infinite numbers of solutions.       2x+3y=7, a(x+y)-b(x-y)=3a+b-2       (DELHI 2008 C)2.  For what value of k will the following equations have infinitely many solutions?       2x-3y=7, (k+1) x+ (1-2k) y=5k-4       (DELHI 2008 C)3.  The sum of denominator and numerator of a fraction is 3 less than twice the denominator. If each of the numerator and denominator is denominator is decreased by 1, the fraction becomes 1/2. Find the fraction.                            (DELHI 2010)4.  The sum of the digits of a two digit number is 12. The number obtained by interchanging the two digits exceeds the given number by 18. Find the number.                                          (CBSE (CCE) 2011)5.  The sum of the numerator and denominator of a fraction is 12. If 1 is added to both numerator and denominator the fraction becomes �. Find the fraction.                                          (CBSE (CCE) 2011)6.  4 men and 6 boys can finish a piece of work in 5 days while 3 men and 4 boys can finish it in 7 days. Find the time taken by 1 man alone or than by 1 boy alone.                                          (CBSE (CCE) 2011)7.  A man travels 600km apart by train and partly by car. It takes 8 hours and 40 minutes if he travels 320 km by train and rest by car. It would take 30 minutes more if he travels 200 km by train and the rest by the car/. Find the speed of the train and by car separately.                                           (CBSE (CCE) 2011)8.  Solve the equations graphically. 2x+y=2 , 2y-x=4. Also find the area of a triangle formed by the two lines and the line y=0.                                                         (CBSE (CCE) 2011)9.  For what value of k will pair of equations have no solution?       3x+y=1 , (2k-1)x+(k-1)y=2k+1        CBSE (CCE) 2012)10.  Solve the following pair of equations graphically.       x+3y=6, 2x-3y=12. Also find the area of the triangle formed by the lines representing the given equations with y-axis.   (CBSE (CCE) 2012)

INFORMATION TECHNOLOGY (IT)1. All assessments and exercises of unit 1 must be done in your

computer notebook.2. Make a chart based on the topic of IT. The topic may be chosen

from your book or outside the book.