D.A.V. PUBLIC SCHOOL, KURUKSHETRA CLASS : IX ASSIGNMENT : MATHEMATICS (SUMMATIVE ASSESSMENT -1) CHAPTER 1 (NUMBER SYSTEM) Q1. Define rational number? Write three rational numbers equivalent to. Q2. Write two Irrational number between and. Q3. Represent 3 + on number line. Q4. Represent - on number line. Q5. Define Real number? Can every real number be represented on number line. How many number lies between any two real number. Q6. Represent.,. on real line. Q7. Simplify each of the following: (i) () Q8. Show that : ( ) ( ) ( ) ( ) = 1 (ii) (iii) a+b b+c c+a Q9. For any positive real number x find the value of x x Q10. Find the value of x each of the following : (i) x = 135 (ii) x = 1250 (iii) x = 225 (iv) = (Ans. (i) x=3 (ii) x=8 (iii) x = 5 (iv) x = 1) Q11. If a and b are rational number then find the value of a and b in each of following : (i) (ii) (iii) = + (Ans: a = 2, b = -1) = + (Ans: a =11, b = -6) = (Ans: a = 2, b = )
Q12. Find the value of : + + (Ans: 2) Q13. Prove that : - Q14. If x = (i) + - then find the value of + + + + = 5 2 2 (ii) (iii) + (iv) 3 3 (v) + (vi) + (vii) + (viii) (ix) (x) + 4 (xi) + (xii) + 2 (xiii) (xiv) + Ans: (i) 4 (ii) 2 (iii) 16 (iv) 12 (v) 14 (vi) 64 (vii) 52 (viii) 24 (ix) 30 (x) 10 (xi) 196 (xii) 194 (xiii) 8 (xiv) 27.2 Q15. If = then repeat (i) to (xiv) part of Q14. Q16. If =, find the value of + Ans.: 3 Q17. If =+, find the value of Ans.: 2 Q18. Simplify : (i) (ii) - + Ans: Ans : 10 Q19. Find the minimum integral value of x for which is greater than (Ans:5) Q20. What is the total number of Prime numbers less than 70. (Ans:19) Q21. If = 625 find the value of + 1 (Ans:15626)
D.A.V. PUBLIC SCHOOL, KURUKSHETRA CLASS : IX ASSIGNMENT : MATHEMATICS (SUMMATIVE ASSESSMENT -1) CHAPTER POLYNOMIALS Q1. If =, then find the coeff. of x in polynomial ()=( ) + (Ans.=-20) Q2. What is the necessary condition for indices of x in a polynomial x? (Ans.=Whole numbers) Q3. Find degree of +. +. + + (Ans.=4) Q4. If =, then find the degree of polynomial ()=( ) + (Ans.=3) Q5. Find K if + + + is divisible by x+1 (Ans.=2) Q6. The polynomials + and +, when divided by x-4 leave the remainder r 1 and r 2 respectively. Find value of b, if 2r 1 r 2 = 0.= Q7. The remainder of polynomial + +,when divided by (x-2) is twice the remainder when it is divided by (x+1), show that + = Q8. If polynomials ( + + ) and ( + +) leave the same remainder when divided by (x-3), then find value of k. Also, find the remainder in first case. (Ans. k= -4, R=22) Q9. What is zero of polynomial ()=,. (Ans.=0) Q10. If polynomials + + and + +, leave the same remainder, when divided by x-2, then find value of a, Also, find the remainder in each case. (Ans. a= -3, R=5) Q11. If both x-2 and are factors of + +, then show that =
Q12. Find the quotient and remainder, when + + + is divided by 3x+4. Also check the remainder obtained by using remainder theorem. (Ans. Quotient : + +, Remainder : 47) Q13. Using Factor Theorem, factorize the polynomial : + + (Ans. (x-1)(x+1)(x-2)(x+3)) Q14. Factorize : + (Ans. (x+1)(x+2)(x-3)(2x+1)) Q15. Factorize : ( )( ) (Ans. (x-5)(x+1)(x-2) 2 )
D.A.V. PUBLIC SCHOOL, KURUKSHETRA CLASS :IX ASSIGNMENT : SCIENCE & TECHNOLOGY (SUMMATIVE ASSESSMENT -1) CHAPTER 1 ( MATTER IN OUR SURROUNDINGS ) Q1. Arrange the following substances in the increasing order of force of attraction between their particles : Oxygen, Salt, Milk. Q2. Select the substances from the following which do not have the property of Sublimation : Camphor, Potassium Permanganate, Copper Sulphate, Napthalene Q3. Name the property of gases due to which it is possible to fill CNG in cylinders for using as fuel in cars. Q4. Does evaporation cause a physical change or a chemical change? Q5. What is dry ice? What happens when the pressure under which it is decreased to 1 atmosphere? Q6. (a) Why do liquids show the phenomenon of diffusion to more extent than solids? (b) Why are liquids more compressible than solids? Q7. Ice, Water and Steam are three states of a substance and not different substances. Justify. Q8. Mention the physical quantities and the manner in which these need to be altered for liquefying gases. Q9. Arrange the three states of matter in the increasing order of (i) rate of diffusion (ii) particle motion Q10. Wax is heated in a china dish. How will the following change during heating : (i) kinetic energy of particle (ii) Inter particle distance
D.A.V. PUBLIC SCHOOL, KURUKSHETRA CLASS :IX (SCIENCE & TECHNOLOGY) ASSIGNMENT : BIOLOGY (SUMMATIVE ASSESSMENT -1) CHAPTER 5 (FUNDAMENTAL UNITS OF LIFE) Q1. Why all cells do not look alike? Explain with example. Q2. Lysosomes destroy any material which enter the cells. Is their any animal cell which lack lysosomes? Q3. What is common between mitochondria and platid? Q4. What kind of plastid is more common in (a) Roots of plant (b) Leaves of plant (c) Flowers and Fruits Q5. Match the following (Double matching) (i)isotonic (A) Higher concentration (a) Cell may burst of water as cell (ii)hypertonic (B) Lower cenc of water as (b) No net movement of cell Water (iii)hypotonic (C) Same concentration of (c) Plasmolysis water as cell (a)(i) C,D (ii) A,c (iii) B,a (b)(i) B,C (ii) A,c (iii) B,b (c)(i) C,b (ii) B,c (iii) A,c (d)(i) B,c (ii) C,a (iii) A,b Q6. Name the process for the following : (a) A plant cell in hypertonic solution : (b) Entry of oxygen into cell. (c) Absorption of water by plant roots (d) Engulfing of food by Amoeba (e) Formation of plasma menbra by some of the proteins and lipids secreted by Endoplasmic reticulum. Q7. Name the cell organelle in which the following structures are found: (a) Cristae (b) Stroma (c) Centriole (d) Chromosomes Q8. Draw well labeled diagram of plant cell. (a) Plant Cell (b) Animal Cell (c) Prokaryotic Cell
D.A.V. PUBLIC SCHOOL, KURUKSHETRA CLASS :IX (SCIENCE & TECHNOLOGY) ASSIGNMENT : PHYSICS (SUMMATIVE ASSESSMENT -1) CHAPTER 8 (MOTION) Q1. In a long race, the athletes were expected to take four rounds of the track such that the line of finish was the same as the line of start. Suppose the length of the track was 200m. (a) What is the total distance to be covered by the athletes? (b) What is the displacement of the athletes when they touch the finish line? (c) Is the motion of the athletes uniform or non-uniform? (d) Is the displacement of an athletes and distance moved by him at the end of race equal? Q2. A train travels at 60km/h for 0.52h; at 30km/h for the next 0.24h and at 70km/h for next 0.71h. What is the average speed of train? Q3. Units of uniform speed and non uniform speed are: (a)m/s, m/s 2 (b) m/s, m 2 /s (c)m/s, m/s (d) m-s,m/s Q4. A train starting from rest moves with uniform acceleration of 0.2 m/s 2 for 5 minutes. Calculate the speed acquired and distance travelled at this time? Q5. A cyclist goes once round a circular track of diameter 105 metre in 5 minutes. Calculate his speed. Q6. From the velocity time graph of bodies A and B, what do you infer about their initial velocities? Y B Velocity A O Time X
Q7. A body P moves with uniform velocity and another body Q moves with uniform retardation. The correct velocity-time graph of two bodies is : y y P Q Velocity Q Velocity P O y Time X O y Time Q X P P Velocity Velocity Q O Time X O Time X Q9. A body is dropped vertically from a certain height. Draw a Velocity-Time graph of a body. Draw a Velocity-Time graph of a stone thrown vertically upwards a and then coming downwards after attaining the maximum height. Q10. The following is the Velocity-Time graph for a moving body: 6O Velocity (in km/h) 5O C 4O B 3O 2O A 1O D O 1 2 3 4 5 6 7 8 9 Time(in hours)
Find: (i) Velocity of body of point C. (ii) Acceleration acting on body between A and B. (iii)acceleration acting on body between B and C Value based Questions: Puja and Neha are close friends. Puja is a science graduate and Neha is a commerce graduate. Puja finds that while driving on a clear highway. Neha often exceeds the limit and argues that there is no harm in doing so when the road is clear. Puja does not agree with her and tells her that with increase in speed stopping distance of car would increase and she would not be able to manage things if some stray cattle etc. appears suddenly on the way. Read the above passage and answer the following question: (a) Is Puja right in her statement? (b) What values are displayed by Puja in her statement? (c) How is stopping distance related to speed of vehicle?
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