DWARKA INTERNATIONAL SCHOOL

SUMMER VACATION HOLIDAY HOMEWORK

CLASS IX - ALL SUBJECTS

SUBJECT- MATHEMATICS

1. Make a Investigatory Project on various aspects of Pythagoras theorem.

Project details:

- Biography of Pythagoras

- Statement of the theorem

- Proof of the theorem that can be given by cutting and pasting paper

- Using the Pythagoras theorem in real life

- Pythagorean triplets of integers

The project should be done on Assignment sheets & submit it in a file.

2. Assignment on chapter 1, 2 & 3

General Instructions:

Present your work neatly and as creatively as possible.

Do the Assignment in class work register.

Work out the rough calculation on the right side of each sheet as per requirement.

Section A

Q1.The value of y in 197 y +162=2620 is

(a)22 (b)12 (c)14 (d)16

Q 2.2516

22 xx equals

(a)5

4x(b)

4

5x(c)

16

25 (d)

25

41x

Q 3. The value of the expression 23422434 is

(a)-2 (b)2 (c)3 (d)4

Q 4.If *means addition ,$means multiplication ,# means division, then 2*3$2#2 is equal to

(a)5 (b)4 (c)3/2 (d) 6.

Q 5.Simplfy:a

a

a

aa

1

1

1

2/12/12/1

(a)1a

a

(b)

2

1a

(c)

1

2

a (d)

a1

2

Q 6.One of the factors of X3+8y3-64z3+24xyz is:

(a)x+2y-4z (b)x-2y+4z (c)x+2y+4z (d) x-2y-4z

Q 7.143

217can be expressed in the decimal form as

(a) 751.1 (b) 175.1 (c) 517.1 (d)1.517

Q 8. If a+b+c=0,then value of ab

c

ca

b

bc

a 222 is

(a)1(b) 2(c)4(d)3

Q 9.Insert the missing number in the given figure by identifying the relation from the

first figure.

(a)1.5 (b) 6 (c)15 (d)11

Q10.How many triangles are there in the following figure:

(a)3 (b) 1 (c)2 (d) 4

Q12.Which one is correct order of Cartesian plane for the points (4, 4), (3, 2), (5, 7) and (6, 3)?

(i) I, II, III, IV (ii) IV, II, III, I (iii) III, III, IV (iv) II, III, IV, I

Q13 .If 10th January of a year was Thursday, what will be the day on I st February of the same year?

(Non leap year).

Q14. Simplify:

2 10

50 25

3 ?

70 35

Q11.Two positions of dice are shown below. How many points will appear on the opposite to the face containing 5 points?

(i) .35

1759179

162617

zyx

zyx

Q15. Represent 6.5 geometrically and on number line.

Q16. Visualize 6.2462 and ___

34.7 upto 4 places of decimals on graph paper.

Q17. Give an example of each of two irrational numbers, whose

(i) difference is rational number. (ii) difference is an irrational number.

(iii) sum is a rational number. (iv) sum is an irrational number.

(v) product is a rational number. (vi) product is a irrational number.

(vii) quotient is a rational number. (viii) quotient is a irrational number.

Q18. Express the following into the form of .q

p

(i) __

312.0 (ii) 0.3181818

Q19.Factorize:

(i) x3+13x2+32x+20.(ii)2y3+y2-2y-1

Q20. Evaluate using identities:

(i) 5.63 x 5.63 + 11.26 x 2.37 +2.37 x 2.37.(ii) 22

33

139139361361

)139()361(

.

Q21.Find the values of a and b in each of the following:

3347

325ba

Q22. Simplify 3223

3223

3223

3223

Q23. If x = 32

1

, then find the value of x3 2x2 7x + 10.

Q24 .Sketch the parallelogram three of whose vertices are (0,-4),(5,-4)and(5,2) .also, find the fourth

vertex and point of intersection of its diagonals.

Q25.Write the answer of each of the following questions:

(i) What is the name of horizontal and the vertical lines drawn to determine the position of any

point in the Cartesian plane? (ii) What is the name of each part of the plane formed by these two lines?

(iii) Write the name of the point where these two lines intersect.

Q26. If 3x 7y = 10 and xy = -1 , find the value of 9x2 + 49 y2 .

Q27. Let R1 andR2 are the remainders when the polynomials x3 + 2x2 5ax 7 and x3 + ax2 12x +6 are

divided by x + 1 and (x 2) respectively. If 2R1 + R2 =20, find the value of a.

Q28. Find the value of k so that 2x 1 be a factor of 8x4 + 4x3 16 x2 + 10x + k.

Q29. Find the value of ( x a )3 + ( x b )3 + (x c )3 3 (x a ) ( x- b) (x- c), if a + b + c = 3x.

Q30.Find the remainder when p(y) = y3+y2+2y+3is divided by x+2.

CHEMISTRY

1.Solve NCERT exercise of L-2 (Is matter around us pure).

2.Draw the following diagrams from NCERT in chemistry notebook:

FIGURE NO. PAGE NO. FIGURE NO. PAGE NO. 2.6 20 2.12 23 2.13 24 2.9 21 2.10,2.11 22

3.Write the following experiment in chemistry practical file from lab manual.

Experiment no. Page no. Experiment no. Page no. 2.1, 2.2 1.11 4.1 1.45 2.3 1.12 4.4 1.49 3 1.30 4.5 1.50

BIOLOGY

1) Prepare a model (working/non working) on any topic related to biology

Example:

A model showing the structure of brain along with the function of each part

A model showing any communicable or non- communicable disease, part affected, reason for the spread of disease etc

Working model showing exhalation or inhalation by lungs

These are some of the examples and the students are allowed to make the model on any topic related to the subject

2) Students are asked to solve 10 CCE or SA based (1,2,3,5 marks) questions from any reference book from the chapter CELL-The Basic Unit of Life

PHYSICS

1. Make one working model on any of the theme- a) Transportation

b) Information technology and communication

c) Waste management

d) Resource management

1. Assignment sheet

PHYSICS ASSIGNMENT Chapter-8

MOTION

1. Mention the condition when displacement covered by an object is equal to the distance.

2. Which physical quantity is given by the area under the velocity time graph?

3. Name the physical quantity with the S.I unit ms -2. Is it scalar or vector?

4. A body moves in a circle of radius 2R. What is the distance covered and displacement

of the body after 2 complete rounds?

5. A steel ball of mass 100 g is thrown horizontally with a velocity of 100 km/h from the

top of a 75 m high tower. Draw a diagram to show its path of entire journey. ( You are

not required to do any calculation).

6. Distinguish between scalar and vector quantity?

7. A van accelerates uniformly and its velocity changes from 5 m/s to 25 m/s in 10 sec. find

its average velocity.

8. Write any three points of differences between speed and velocity.

9. A trolley, while going down an inclined plane, has an acceleration of 2 cm/s 2. What will

be its velocity 3 s after the start?

10. A car starts from rest and attains a velocity of 18 km/h in 2 s. Find its acceleration in SI

units.

11. The brakes applied to a train moving at 90 km/h produce a retardation of 5 m/s 2. What

distance will it cover before coming to a stop?

12. Can the speed of an object be equal to its velocity? If yes, give one example.

13. Navin travels along a straight road 500 m long and returns back 100 m. Find his average

speed and average velocity if he takes a time of half an hour.

14. Identify the kind of motion in the following cases:-

i. A car moving with constant speed tuning around a curve.

ii. An electron orbiting around nucleus.

15. A car travels from stop A to stop B with a speed of 30 Km/h and then returns back to A

with a speed of 50 Km/h. Find

a) Displacement of the car.

b) Distance travelled by the car.

c) Average speed of the car.

d) Average velocity of the car.

16. Velocity time graph for the motion of an object in a straight path is a straight line

parallel to the time axis.

a) Identify the nature of motion of the body.

b) Find the acceleration of the body.

c) Draw the shape of distance time graph for this type of motion.

17. Name the physical quantity which gives you the measure of rate of change of velocity?

18. Raj completes two rounds of a rectangular park of dimensions 100 m X 80 m in 2

minutes. Calculate his speed and velocity.

19. A circular track has a circumference of 1570 m with AB as one of its diameter. A

scooterist moves from A to B along the circular path with a uniform speed of 5 m/s. Find

the :

(a) Distance covered by the scooterist,

(b) Displacement of the scooterist (Given =3.14)