CLASS 10

SCIENCE

1.Differentiate between exothermic and endothermic reactions. Give examples from nature.

2. Name the five types of chemical reactions. Give two examples of each by writing balanced

chemical equations.

3.Role play of four “ORGANS”. Imagine that you are any one organ from EACH of the following Organ

Systems in humans:

(i) Digestive system (ii) Respiratory system

(iii) Circulatory system (iv) Excretory system

Write about yourself eg I am----------and am a part of the-------------------system. I am located-----------

----------------.I look like----------------------------------------------.The functions I perform are---------------------

------------------------------------------------------------------------------------------------------------------------------------.

4. Collect some variegated leaves. Dry, press and paste in your homework notebook.

5.Revise lesson 1and 6.

6.Complete work related to lesson 1 and 6 in your Practical notebook.

Class 10th

(MATHS)

REAL NUMBERS

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 exist 8. 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) 3 10. Given that LCM (91, 26) = 182, then HCF (91, 26) is: (a) 13 (b) 26 (c) 7 (d) 9

POLYNOMIALS

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)

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)

कक्षा – दसव ीं

HINDI

१. ककस कहन्द समाचार पत्र-पकत्रका से कोई पााँच कवज्ञापन काटकर चस्पा करें |

2.एक औपचाररक व एक अनौपचाररक पत्र किखें|

३. अपन कहन्द क पाठ्यपुस्तक से पााँच-पााँच सरि वाक्य , सींयुक्त वाक्य, व कमकित वाक्य खोज कर किखखए |

४. कनम्नकिखखत में से ककन् ीं दो कवषयोीं पर २५० शब्ोीं का कनबींध किखखए |

* आदशश नागररक

* खेि एवीं स्वास्थ्य

* बदित ज वन शैि

* बढत मींहगाई : आम आदम क समस्या

५. ककस सहायक पुस्तक से एक-एक अपकित गद्ाींश व अपकित काव्ाींश का अभ्यास करें |

६. पढाये गये पािोीं क पुनरावृकत करें |