BROADWAYS INTERNATIONAL SCHOOL

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1 BROADWAYS INTERNATIONAL SCHOOL Kherki Duala, Gurugram The long awaited summer vacation is here, bringing with it the gift of togetherness that is spent in exploring books, watching informative programs and playing games. While fun is intrinsic to their age, fruitful occupation of their time is vital important the way towards a bright future for the child as a progressive learning graph. Few guidelines for your Parents to make your summer break fruitful. 1. Reflect and Resolve Think back on the time gone by and discuss with your parents. Make a few resolutions for post summer holidays. 2. Knowledge is Power Therefore encourage your child to cultivate the reading habit because it not only enhances knowledge acquired but also develops vocabulary, language skills and improves spellings. 3. A healthy mind lives in a healthy body Encourage your child to go out and play because sports instill discipline, generate sporting spirit, channelize energies constructively. Holiday homework is an attempt to channelize the creative energy of the children. Doing it in the right spirit with enthusiasm will make it a great learning experience. Make sure that your work is neat, presentable, and original and conforms to the guidelines. To take printout of Holiday Homework go to our School website Step1:- Login www. broadways.edu.in Step2:- Go to Home Page, Click on Summer Holiday Homework. Step3:- Select class accordingly. 1

2 Broadways International School Sector-76, Kherki Duala, Gurugram HOLIDAYS HOMEWORK ( ) CLASS X SUBJECT MATHEMATICS 1. Find the zeros of quadratic equation 3-2 6x Can y+1 be remainder on division of a polynomial p(y) by y-5? Give reason. 3. Find the value of k for which the system of equations kx-y=2 and 6x-2y=3 has a unique solution. 4. If the common difference of an AP is -6, then what is - = If two zeros of the polynomial x-35 are 2 3, then find the other zeros. 6. Solve the following pair of linear equations by elimination, substitution and cross multiplication method. Draw the graph of the given equation. Also find the vertices formed by the lines with y-axis and the point of intersection. 7. When a polynomial x+7 is divided by another polynomial 3 +4x=1, the remainder is in the form ax+b. Find a and b. 8. If (x+a) is a factor of 2 +2ax+5x=10. Find a and b. 9. Father s age is 3 times the sum of ages of his two children. After 5 years his age will be twice the sum of the ages of 2 children. Find the age of father. 10. What must be subtracted from x-1 so that the resulting polynomial is exactly divisible by +2x Solve the following pair of equations 2

3 a. a) + = 4 and - = 4 b. b) - = and Find the values of a and b for which the following system of linear equation has infinitely many solution. a. a) 2x-(a-4) y =2b+1 b) 4x-(a-1) y = 5b Find the value of m, if one zero of the polynomial ( +4) +65x+4m is reciprocal of the other. 14. Find the 41 st term of an AP whose 13 th term is 79 and 26 th term is If the pth term of an AP is q and the qth term is p, prove that its nth term is (p+q-n). 16. The pth, qth and rth term of an AP are a,b,c respectively. Show that a(q-r)+b(r-p)+c(pq) = If equation a +bx+c = 0 has equal roots, then find c in term of a and b. 18. Find the value of p so that the quadratic equation px(x-3) +9 has equal roots. 19. Solve the following pair of linear equations by the method of cross multiplication. (a-b)x + (a+b)y = - 2ab - (a+b)(x+y) = Express ( ) as a decimal representation. 21. Determine the AP whose third term is 16 and 7 th term exceeds the 5 th term by The sum of 4 th and 8 th term of an AP is 24 and the sum of 6 th and 10 th term is 44. Find the first three terms of an AP. 23. Apply the division algorithm to find the quotient and remainder on dividing the polynomial x+9 by +2x=3. Also, verify the division algorithm. 24. What is the discriminant of quadratic equation x+ 3=0? 25. Find the value of k for which the quadratic equation -2(2k-1)x+4=0 has real and equal roots. 26. Find the roots of the following quadratic equation. i. - 11x +1=0 3

4 ii. = 3 iii. 4 iv., x 27. There are some students in the two examination halls A and B. To make the number of students equal in each hall, 10 students are sent from A to B. But if 20 students are sent from B to A, the number of students in A becomes double the number of students in B. Find the number of students in the two halls.\ 28. Given the linear equation 3x-2y+7=0, write another linear equation in two variables such that the geometrical representation of the pair so formed is A) intersecting lines B) parallel lines C) Coincident lines 29. Given that 3 is a zero of the polynomial + -3x-3, find its other two zeros. 30. If the sum of the zeros of the quadratic polynomial f(x)=k +2x+3k is equal to their product, find the value of k. 31. Find the number of solutions of the following pair of linear equations. 3x-3y=5 7x-2y=2 32. The 6 th term of an AP is 0. Prove that its 31 st term is five times the 11 th term. 33. Find the zeros of the polynomial Also verify the relationship between the zeros and the coefficients. 34. Using Euclid s Division algorithm find the HCF of 9828 and Express it as 9828x+14742y,where x and y are not unique cartoons of coke cans and 90 cartoons of Pepsi cans are to be stacked in a canteen. If each stack is of the same height and is to contain cartoons of the same drink, what would be the greatest number of cartoon each stack would have? 36. The sum of three numbers of an AP is 3 and the product of the first and third number is -35. Find the three numbers. 37. Solve for x and y. 4

5 , 3x+y 0, 3x-y For what value of n, are the nth terms of two APs: 60,62,64,. And -10,- 3,4,11, equal? 39. The first and the last terms of an AP are 6 and 348 respectively. If the common difference is 9. How many terms are there and what is their sum. 40. Solve graphically the pair of linear equations 2x+y=8 and x+1=2y. Also, find the coordinates of the vertices of the triangle formed by the lines and the x-axis. Also find the area of the triangle. 41. State whether is a rational or an irrational number. If it is rational, express it in the form of, where p and q are integers and q 42. If 5 th term of an AP is 0. Show that 33 rd term is two times its 19 th term. 43. Find the quotient and remainder on dividing the polynomial by In an AP, the sum of first ten terms is -150 and the sum of its next ten terms is Find the AP. 45. The first term of an AP is 5, the last term is 45 and the sum is 400. Find the number of terms and the common difference. 46. For what value of k will the equation 2k -2(1+2k)x+(3+2k)=0 have real but distinct roots? 47. The sum of the 4 th and 8 th terms of an AP is 24 and the sum of the 6 th and 10 th terms is 44. Find the first three terms of an AP. 48. The LCM of two numbers is 14 times their HCF. The sum of LCM and HCF is 600. IF one number is 280, find the other. 5

6 SUBJECT SCIENCE Q1. Make a 3-D model from the following topic in accordance to your roll no. (i) Brain (Roll no. 1-3) (ii) Digestive system (Roll no. 4-6) (iii) Nuclear reactor (Roll no. 7-9) (iv) Circulatory system (Roll no ) (v) Excretory system (Roll no ) (vi) Bio gas plant (Roll no.16-18) Q2. Any science project for class from the following topics. Topic- Energy, Water harvesting. Q3. You being an environmentalist are interested in contributing towards the conservation of nature resources. List 7 activates that you can do on your own. Q4. Numerical portion; (i) In the following food chain, 20,000 J of energy was available to the plants. How much energy would be available to man in this chain? (In your notebook) Plants Sheep Man (ii) (iii) Calculate the number of electrons constituting one coulomb of charge. Judge the equivalent resistance when the following are connected in parallel- (a) 1Ω and 10 6 Ω (b) 1Ω, 10 3 Ω and 10 6 Ω. 6

7 fo ; & fgunh प र.1 ह द स ह त य म क न क न स प रस क र हदए ज त? ककन 5 भ रत य स ह त यक र क न म च त र सह त व य ख य त य र क जजए प र.2 कब र, म र, बब र और म च ल शरण ग प त क ज वन परर य ललख ए प र.3 कक ष दस म ब र ड क पर क ष क व पस क ल कर द अलभभ वक क ब त त क स व द क र प म ललख ए प र.4 ककन प ववषय पर शब द म अन च छ द ललख ए :- 1. म र ब ज र ड म र धर र र. प रक तत क क र र परर स ब ढ 2. मदर ट र स. इ टरन ट क द तनय 3. भ रत म आत कव द छ. स क ररत 4. प ल जस टक क द तनय प र.5 पढ ए गए प ठ क प न: अध ययन कररए और समस त क यड व य करण क प म कररए 7

8 SUBJECT SOCIAL SCIENCE Draw the political map of India and mark the following: 1. Indian National Congress Session: i. Session of September 1920 ii. Session of December 1920 iii. Session of 1927 iv. Session of Important centres of Indian National Movements: i. Champaran Movement of Indigo planters ii. Kheda Peasant Satyagrah. iii. Ahmedabad Cotton Mill Workers Satyagrah. iv. Jallianwala Bagh Incident v. Chauri Chaura calling of Non Cooperation Movement. vi. Bardoli no tax campaign. Make a power point presentation on India s Freedom struggle. 8

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BROADWAYS INTERNATIONAL SCHOOL

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