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. Summer break begins from 19th May 2018 to 1st July 2018.School will reopen on 2nd July 2018(Monday). 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.
2 Broadways International School Sector-76, Kherki Duala, Gurugram Holiday Homework ( ) CLASS IX SUBJECT MATHEMATICS 1. Express as a rational number in simplest form. 2. Let x and y be rational and irrational numbers respectively. Are x+y and xy irrational? Justify your answer by an example for each. 3. Simplify [ ] 4. If x = and y =, then find the value of 5. Give an example of two irrational numbers whose a) Sum is rational b) Product is rational c) Quotient is rational 6. Simplify 7. Use identities to find a) (2 ) (2 ) b) ( ) ( ) 8. Using long division method, show that the polynomial +1 is divisible by q(x) = x+1. Verify your result using factor theorem. 9. If f(x) = f(2) - f(-1) +f( ) 10. Factorize Simplify each of the following. a. b. c Draw the graph of the equation 2x=3y=11. From your graph, find the value of y, when x= On which axis do the following points lie? i) (7,0) ii) (0,-5) iii) (0,1) iv) (-4,0) 14. In which quadrants do the given points lie? i) (-6,5) ii) (-3,-2) iii) (2,-9)
3 15. Factorize Find the value of a for which (x - 4) is a factor of (2 ). 17. If ( ) has (x-2) as a factor and leaves a remainder 3 when divided by (x-3), find the values of a and b. 18. Draw the graph of the equation y=3x Draw the lines X OX and YOY as axes on the graph paper and plot the points given below. i) A(5,3) ii) B(-3,2) iii) C(-5,-4) iv) D(-2,-6) 20. The polynomial b +3 and 2-5x+6 when divided by x-4 leave the remainders R1 and R2 respectively. Find the value of b if 2R1-R2=0 21. Verify if and are zeros of the polynomial 8 If yes, then factorize the polynomial. 22. If a = 7-4, find the value of Simplify ( ) 24. Factorize If a= 1+, find the value of -6/a. 26. If f(x) =, then find whether f(0) f(-1) = f(2). 27. If x = 0 and x=2 are zeros of the polynomial 2-5, then find the value of p and b. 28. If a and b are rational numbers and = a + b find the values of a and b. 29. Show that 30. Factorize the following quadratic polynomials.. a. 9-22x+8 b. 2 - c. 2-7x Using factor theorem, factorize the following polynomials. a. b Find the remainder when 33. Find the product using suitable identity (3x-5y-4)(9 ) 34. Draw the graph of the equation2x-3y=5. From the graph, find i) The value of y when x = 4 ii) The value of x when y = Draw the graph of the equation 3x+2y=6. Find the coordinates of the point where the graph cuts the y-axis.
4 36. Prove that the bisectors of the angles of a linear pair are at right angles. 37. Two adjacent angles on a straight line are in the ratio 5: 4. Find the measure of each angle. 38. Expand a. b. c. 39. Factorize a b b. 9 c. 40. Find the values of a and b so that the polynomial ( ) is exactly divisible by (x+2) as well as (x+3). 41. Without actually calculating the cubes, find the value of Determine the value of a for which the polynomial 2 is divisible by 1-2x. 43. Draw the graph of the equation y=2x. From your graph, find the value of x when y= Evaluate a. b. 45. If both a and b are rational numbers, find the values of a and b in the following equalities: i. ii.
5 SUBJECT SCIENCE Q1. Make 10 MCQ from the following chapters. (i) Matter and its surrounding (ii) Motion (iii) Fundamental unit of life Q2. Make a model from the following topics in accordance to your roll no. (i) Animal cell (Roll no. 1-4) (ii) Plant cell (Roll no. 5-8) (iii) Rain water harvesting (Roll no.9-11) (iv) Carbon cycle. (Roll no.12-14) (v) Sequence (showing the 4 stages) the process of binary fission in Amoeba. (Roll no.15-17) Q3. Answer the following questions in your note book (i) Carbon dioxide (CO 2) is generally heavier than Oxygen (O 2 ) and nitrogen (N 2 ). Why does it not form lower layer in the atmosphere. (ii) (iii) (iv) Which characteristic of gas is used in supplying oxygen cylinders to hospitals? Alka was making tea in a kettle, suddenly she felt intense heat from the puff of steer gushing out of the spout of the kettle. She wondered whether the temperature of steam was higher than that of the water boiling in the kettle. Comment. If you are provided with some vegetables to cook. You generally add salt into the vegetables during cooking process. After adding salt, vegetables release water. What mechanism is responsible for this? Q4. Solve following numerical; (i) A motorcyclist drives from A to B with a uniform speed of 30 Km/h and returns back with a speed of 20 Km/h. find its average speed. (ii) An object is dropped from rest at a height of 150 m and simultaneously another object is dropped from rest at height 100m. What is the difference in their heights after 2s, if both the objects drop with same accelerations? How does the difference in heights vary with time? (iii) An object starting from rest travels 20 m in first 2 s and 160 m in next 4s. What will be the velocity after from the start?
6 व षय - ह द प र.1 व षय स स ब ध त ध त र A3 स इज श ट पर ध पक त ए शब द म ध त र र णन क जजए- क. कम प य टर क यपय ध त ख. बच म बढत म रप न क समस य प र.2 क ई 20 यपस ण और प रत यय ल शब द ललखखए प र.3 र द स, र म, र म र लस हदनकर और अर र कमल क ज न परर य ललखखए प र.4 पढ ए ए प ठ क प न: अध ययन कररए और समस त क यण व य करर क प म कररए SUBJECT SCIENCE 1. Draw the world map along with the continents and mark the following: i. Major counties of the World War I Central Powers and Allied powers. ii. Major countries of the World War II Axis powers and Allied powers. 2. Make a power point presentation on the causes of the French Revolution.
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BROADWAYS INTERNATIONAL SCHOOL
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