SUSHIL HARI INTERATIONAL RESIDENTIAL SCHOOL , KELAMBAKKAM

HOLIDAY HOMEWORK FOR STUDENTS PROMOTED FROM CLASS 9 TO CLASS 10

NCERT CLASS 10 BOOKS ARE AVAILABLE ONLINE FOR REFERENCE

English Reading List

1. One ordinary day, With peanuts- by Shirley Jackson

2. Rules of the Game-by Amy Tan

3. The Machine that won the war- by Issac Assimov

4. The Cask of Amontillado- by Edgar Allan Poe

5. The Gift of the Magi- by O Henry

6. The Interlopers –by Saki

7. The most dangerous game –by Richard Connell

8. Sonata for Harp and Bicycle –by Joan Aiken

9. The invalids story-by Mark Twain

10. If I Forget Thee on Earth- by Arthur C Clarke

11. The white tiger –by Arvind Adiga

12. The Post Office – by Rabindranath Tagore

Poems

The Eagle by Alfred Lord Tennyson

Jabberwocky By Lewis Caroll

Write a book review on any two of the books, design a book jacket for both

Make PPT of the story as comic with your own dialogues

Create a vocabulary list –new words from as many books as possible

Minimum 8 books to be read completely- your internal assignments will be based on this in x std.

Complete the following

1. Argumentative Essay- Should students get limited access to internet?

2. General Essay- My Family Time, My favourite animal

3. Proverb based Essay-A stitch in time saves nine, Where there is a will there is a way

4. Design a newspaper based on the topic-Health issues

5. Listen to these Declamation and practice for speaking activities

(a) Crisis of Civilisation by Rabindranath Tagore

(b) Address at the world parliament of Religions

Complete the exercises in the book-Words and expressions.

Enjoy Reading and writing.

Science

Biology

Draw the following diagrams as assignment

Structure of Brain: Proper structure of brain wherein, you have to mention the Forebrain, Midbrain

and Hindbrain.

Human Excretory System: In this diagram you have to show all the parts of the system which

includes two kidneys, urethra, ureters etc.

Human Digestive System: Here you have to show the full process of digestion. You have to mention

the mouth, liver, gallbladder, stomach, pancreas, small and large intestine, liver etc.

Structure of Heart: In this diagram, you have to show all the veins and arteries.

Human Respiratory System: In this diagram, the students have to show the parts which help in

respiration such as nasal cavity, pharynx, larynx, epiglottis, lungs etc.

Human Male and Female Reproductive Organs: In these diagrams, you have to depict all the parts

that all together make a reproductive system.

Nutrition in Amoeba: The students have to show how food is digested by Amobea – an unicellular

organism.

Regeneration in Planaria and Hydra: Regeneration is the part of reproduction where a part of any

organism is cut, and can produce other organisms. In this diagram you have to show the

regeneration process in Planaria and Hydra.

Structure of a Flower or Pollination in Flowers: Here you have to depict the structure of flowers with

proper labelling. You have to draw and label parts like pistil, stamen etc.

Physics

Verification of OHM’s Law / Circuit Diagram

AC Generator

DC Generator

Human Eye

Defects of Vision in Eye (Myopia or Hypermetropia)

Refraction of Light through a Glass Prism

Dispersion of White Light by Glass Prism

Formation of Rainbow

Refraction of Light through a Rectangular Glass Slab

Atmospheric Refraction Effects

Image Formation by Concave Mirror

, , VIDEO STUDY MATERIALS

https://m.youtube.com/channel/UCbwBiQSgqgVDZs3HzvbIviA

VIDEO MATERIALS

1 ,

https://www.youtube.com/watch?v=VnzSA95sytg

2

https://www.youtube.com/watch?v=gDe2IzKgg20

3

https://www.youtube.com/watch?v=kREjRYCOZTk

4

https://www.youtube.com/watch?v=Rd5kwUkp6Bk

5 , ,

https://www.youtube.com/watch?v=nq5Wg5396tw

https://www.youtube.com/watch?v=3i9sLBzPoSs

6

https://www.youtube.com/watch?v=g94jhl1EBv4

7

https://www.youtube.com/watch?v=iUv8R_o1mWI

8

https://www.youtube.com/watch?v=zNm09Ggywpk

9 -

https://www.youtube.com/watch?v=ahdkQvfZuoU

/ Type

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(A4)

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2, 3,

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SOCIAL SCIENCE - MAP WORK

RECAPITULATION:

Mark the States and its Capital on a political map of India

LIST OF MAP ITEMS CLASS X (2019-20)

A. HISTORY (Outline Political Map of India)

Chapter - 3 Nationalism in India – (1918 – 1930) for locating and labelling / Identification

1. Indian National Congress Sessions:

a. Calcutta (Sep. 1920)

b. Nagpur (Dec. 1920)

c. Madras (1927)

2. Important Centres of Indian National Movement

a. Champaran (Bihar) - Movement of Indigo Planters

b. Kheda (Gujrat) - Peasant Satyagraha

c. Ahmedabad (Gujarat) - Cotton Mill Workers Satyagraha

d. Amritsar (Punjab) - Jallianwala Bagh Incident

e. Chauri Chaura (U.P.) - Calling off the Non-Cooperation Movement

f. Dandi (Gujarat) - Civil Disobedience Movement

B. GEOGRAPHY (Outline Political Map of India)

Chapter 1: Resources and Development (Identification only)

a. Major Soil Types

Chapter 3: Water Resources (Locating and Labelling)

Dams:

o Salal

o Bhakra Nangal

o Tehri

o Rana Pratap Sagar

o Sardar Sarovar

o Hirakud

o Nagarjuna Sagar

o Tungabhadra

Note: The chapter ‘Water Resources’ to be assessed in the Periodic Tests only and will not be

evaluated in Board Examination.

Chapter 4: Agriculture (Identification only)

a. Major areas of Rice and Wheat

b. Largest / Major producer states of Sugarcane, Tea, Coffee, Rubber, Cotton and Jute

Chapter 5: Minerals and Energy Resources Minerals (Identification only)

a. Iron Ore mines

Mayurbhanj Durg Bailadila Bellary Kudremukh

b. Coal Mines

Raniganj Bokaro Talcher Neyveli

c. Oil Fields

Digboi Naharkatia Mumbai High Bassien Kalol Ankaleshwar

Power Plants (Locating and Labelling only)

a. Thermal

Namrup Singrauli Ramagundam

b. Nuclear

Narora Kakrapara Tarapur Kalpakkam

Chapter 6: Manufacturing Industries (Locating and Labelling Only)

Cotton Textile Industries:

a. Mumbai b. Indore c. Surat d. Kanpur e. Coimbatore

Iron and Steel Plants:

a. Durgapur b. Bokaro c. Jamshedpur d. Bhilai e. Vijaynagar f. Salem

Software Technology Parks:

a. Noida b. Gandhinagar c. Mumbai d. Pune e. Hyderabad

f. Bengaluru g. Chennai h. Thiruvananthapuram

Chapter 7: Lifelines of National Economy

Major Ports: (Locating and Labelling)

a. Kandla b. Mumbai c. Marmagao d. New Mangalore e. Kochi f. Tuticorin

g. Chennai h. Vishakhapatnam i. Paradip j. Haldia

International Airports:

a. Amritsar (Raja Sansi)

b. Delhi (Indira Gandhi International)

c. Mumbai (Chhatrapati Shivaji)

d. Chennai (Meenam Bakkam)

e. Kolkata (Netaji Subhash Chandra Bose)

f. Hyderabad (Rajiv Gandhi)

Solution: Refer the following website

https://studywithmanish.blogspot.com/2019/03/important-maps-of-class-10th-sst-2019.html

SOCIAL SCIENCE - GEOGRAPHY

REVISION MATERIAL FROM LESSONS WHICH HAS BEEN ALREADY TAUGHT IN EARLIER CLASSES

Resource and Development

Classification of Soils

On the basis of the factors responsible for soil formation, colour, thickness, texture, age, chemical and physical properties, the soils of India are classified in different types as mentioned below.

Alluvial Soils

1. The entire northern plains are made of alluvial soil. 2. The Alluvial Soil is deposited by 3 important Himalayan river systems – the Indus, the Ganga

and the Brahmaputra. 3. It is also found in Rajasthan, Gujarat and eastern coastal plains particularly in the deltas of

the Mahanadi, the Godavari, the Krishna and the Kaveri rivers. 4. The alluvial soil consists of various proportions of sand, silt and clay. As we move inlands

towards the river valleys, soil particles appear to be bigger in size whereas in the upper side of the river valley, the soils are coarse.

5. Based on age, Alluvial soils can be classified as: 6. Old Alluvial (Bangar): The Bangar soil has a higher concentration of kanker nodules than the

Khadar. 7. New Alluvial (Khadar): It has more fine particles and is more fertile than the Bangar.

8. Alluvial soils are very fertile. These soils contain an adequate proportion of potash, phosphoric acid and lime, which are ideal for the growth of sugarcane, paddy, wheat and other cereal and pulse crops.

Black Soil

1. This soil is black in colour and is also known as regur soil. Climatic conditions along with the parent rock material are the important factors for the formation of black soil.

2. The soil is ideal for growing cotton and is also known as black cotton soil. 3. This type of soil is typical of the Deccan trap (Basalt) region spread over northwest Deccan

plateau and is made up of lava flows. 4. The soil covers the plateaus of Maharashtra, Saurashtra, Malwa, Madhya Pradesh and

Chhattisgarh and extends in the south-east direction along the Godavari and the Krishna valleys.

5. The black soils are made up of extremely fine i.e. clayey material and well-known for their capacity to hold moisture.

6. Black soil is nutrients rich and contains calcium carbonate, magnesium, potash and lime. 7. The soil is sticky when wet and difficult to work on unless tilled immediately after the first

shower or during the pre-monsoon period.

Red and Yellow Soils

1. This type of soil develops on crystalline igneous rocks in areas of low rainfall in the eastern and southern parts of the Deccan plateau.

2. These soils develop a reddish colour due to diffusion of iron in crystalline and metamorphic rocks. It looks yellow when it occurs in a hydrated form.

3. Found in parts of Odisha, Chhattisgarh, southern parts of the middle Ganga plain and along the piedmont zone of the Western Ghats.

Laterite Soil

1. The laterite soil develops under tropical and subtropical climate with the alternate wet and dry season.

2. This soil is the result of intense leaching due to heavy rain. 3. Lateritic soils are acidic (pH<6.0) in nature and generally deficient in plant nutrients. This

type of soil is found mostly in Southern states, Western Ghats region of Maharashtra, Odisha, some parts of West Bengal and North-east regions.

4. The soil supports deciduous and evergreen forests but humus poor. 5. This soil is very useful for growing tea and coffee.

Arid Soils

1. Arid soils range from red to brown in colour. 2. This soil is generally sandy in texture and saline in nature. In some areas, the salt content is

very high and common salt is obtained by evaporating the water. 3. Arid soil lacks humus and moisture. 4. The lower horizons of the soil are occupied by Kankar because of the increasing calcium

content downwards. The Kankar layer formations in the bottom horizons restrict the infiltration of water.

Forest Soils

1. These soils are found in the hilly and mountainous areas. 2. The soil texture is loamy and silty in valley sides and coarse grained in the upper slopes. 3. In the snow covered areas of Himalayas, these soils experience denudation and are acidic

with low humus content. The soil is fertile on the river terraces and alluvial fans.

Soil Erosion and Soil Conservation

The denudation of the soil cover and subsequent washing down is described as soil erosion. The soil erosion is caused due to human activities like deforestation, over-grazing, construction and mining etc. Also, there are some natural forces like wind, glacier and water which lead to soil erosion. Soil erosion is also caused due to defective methods of farming.

The running water cuts through the clayey soils and makes deep channels as gullies. The land becomes unfit for cultivation and is known as bad land. When water flows as a sheet over large areas down a slope and the topsoil is washed away, it is known as sheet erosion. Wind blows loose soil off flat or sloping land known as wind erosion.

Different Ways for Soil Conservation

1. Ploughing along the contour lines decelerate the flow of water down the slopes. This is called Contour Ploughing.

2. Terrace cultivation restricts erosion. This type of agriculture practice is done in Western and Central Himalayas.

3. When a large field is divided into strips and strips of grass are left to grow between the crops. Then, this breaks up the force of the wind. This method is known as Strip Cropping.

4. Planting lines of trees to create shelter helps in the stabilisation of sand dunes and in stabilising the desert in western India. Rows of such trees are called Shelter Belts.

Minerals and Energy Resources

Conservation of Minerals

Minerals are a non-renewable resource. It takes thousands of years for the formation and concentration of minerals. Continued extraction of ores leads to the depletion of minerals. So, it’s important to take the necessary steps so that mineral resources can be used in a planned and sustainable manner.

Energy Resources

Energy resources can be classified as

1. Conventional Sources: It includes firewood, cattle dung cake, coal, petroleum, natural gas and electricity.

2. Non-Conventional Sources: It includes solar, wind, tidal, geothermal, biogas and atomic energy

Conventional Sources of Energy

Coal:

1. It is the most abundantly available fossil fuel.

2. It is used for power generation, to supply energy to the industry as well as for domestic needs.

3. Lignite is a low grade brown coal, which is soft with high moisture content. 4. Coal that has been buried deep and subjected to increased temperatures is bituminous coal. 5. Anthracite is the highest quality of hard coal. 6. Jharia, Raniganj, Bokaro are important coalfields.

Petroleum

1. It provides fuel for heat and lighting, lubricants for machinery and raw materials for a number of manufacturing industries.

2. Petroleum refineries act as a “nodal industry” for synthetic textile, fertiliser and numerous chemical industries.

3. Mumbai High, Gujarat and Assam are major petroleum production areas in India.

Natural Gas

1. Natural gas is an important clean energy resource. It is considered an environment-friendly fuel.

2. The power and fertilizer industries are the key users of natural gas. 3. Compressed Natural Gas (CNG ) is used in vehicles to replace liquid fuels. 4. Large reserves of natural gas have been discovered in the Krishna-Godavari basin

Electricity

Electricity is generated mainly in 2 ways:

1. By running water which drives hydro turbines to generate Hydro Electricity. It is a renewable resource of energy. India has a number of multi-purpose projects like the Bhakra Nangal, Damodar Valley Corporation, the Kopili Hydel Project.

2. By burning other fuels such as coal, petroleum and natural gas to drive turbines to produce Thermal Power. It uses non-renewable fossil fuels for generating electricity.

Non-Conventional Sources of Energy

The renewable energy sources like solar energy, wind, tide, biomass and energy from waste material are called Non-Conventional Energy Sources. Let’s discuss them one by one.

Nuclear or Atomic Energy

Nuclear Energy is obtained by altering the structure of atoms. Uranium and Thorium are used for generating atomic or nuclear power.

Solar Energy

Solar energy is produced by the Sun’s light. Photovoltaic technology converts sunlight directly into electricity.

Wind Power

Wind Energy or Power is the use of wind to generate electricity. Wind turbines are used for this purpose. The largest wind farm cluster is located in Tamil Nadu from Nagarcoil to Madurai.

Biogas

Biogas is a type of biofuel that is naturally produced from the decomposition of organic waste. Biogas is the most efficient use of cattle dung. It improves the quality of manure.

Tidal Energy

Tidal energy is the form of hydropower that converts the energy obtained from tides into useful forms of power, mainly electricity. In India, the Gulf of Khambhat, the Gulf of Kachchh in Gujarat on the western coast and Gangetic delta in Sunderban regions of West Bengal provide ideal conditions for utilising tidal energy.

Geo-Thermal Energy

When heat and electricity are produced by using the heat from the interior of the earth, it is known as Geo-Thermal Energy. In India, geothermal energy is harnessed from Parvati valley near Manikarn in Himachal Pradesh and from Puga Valley, Ladakh.

Conservation of Energy Resources

Every sector of the national economy – agriculture, industry, transport, commercial and domestic – needs inputs of energy. There is an urgent need to develop a sustainable path for energy development. Here are some ways that each one of us can contribute to save energy resources:

Using public transport systems instead of individual vehicles

Switching off electricity when not in use

Using power-saving devices.

Using non-conventional sources of energy

Industrial Pollution and Environmental Degradation

Industries are responsible for 4 types of pollution:

1. Air 2. Water 3. Land 4. Noise

Air pollution is caused by the presence of a high proportion of undesirable gases, such as sulphur dioxide and carbon monoxide. Smoke is emitted by chemical and paper factories, brick kilns, refineries and smelting plants, and burning of fossil fuels leads to air pollution. It adversely affects human health, animals, plants, buildings and the atmosphere as a whole.

Water pollution is caused by organic and inorganic industrial wastes and effluents discharged into rivers. The industries which are mainly responsible for water pollution are paper, pulp, chemical, textile and dyeing, petroleum refineries, tanneries and electroplating industries.

Thermal pollution of water occurs when hot water from factories and thermal plants is drained into rivers and ponds before cooling.

Noise pollution is the propagation of noise with harmful impact on the activity of human or animal life. It results in irritation, anger, cause hearing impairment, increased heart rate and blood pressure.

Control of Environmental Degradation

Here are some ways through which industrial pollution can be reduced:

1. Minimising the use of water by reusing and recycling it. 2. Harvesting rainwater to meet water requirements. 3. Treating hot water and effluents before releasing them in rivers and ponds. 4. Particulate matter in the air can be reduced by fitting smoke stacks to factories with

electrostatic precipitators, fabric filters, scrubbers and inertial separators. 5. Smoke can be reduced by using oil or gas instead of coal in factories. 6. Machinery can be redesigned to increase energy efficiency and reduce noise.

Sectors of Economic Activities

Sector defines a large segment of the economy in which businesses share the same or a related product or service.

1. When we produce a good by extraction and collection of natural resources, it is known as the primary sector. Eg: Farming, forestry, hunting, fishing and mining

2. The secondary sector covers activities in which natural products are changed into other forms through ways of manufacturing. It is the next step after primary. Some manufacturing processes are required here. It is also called the industrial sector. For example, using cotton fibre from the plant, we spin yarn and weave cloth. Using sugarcane as raw material, we make Sugar or Gur.

3. Tertiary sector includes activities that help in the development of the primary and secondary sectors. These activities, by themselves, do not produce a good but they are an aid or support for the production process. It is also called the service sector. Example: Teachers, doctors, washermen, barbers, cobblers, lawyers, call centres, software companies etc.

Sustainability of Development

Sustainable development is defined as development that meets the needs of the present without compromising the ability of future generations. Scientists have been warning that the present type, and levels, of development are not sustainable. Some of the examples are:

Overuse of ground water

Exhaustion of natural resources

CLASS: IX SUB: MATHEMATICS TOPIC: CONSTRUCTION ------------------------------------------------------------------------------------------------------------------------------------------------------------------------ 1) Construct a ∆ABC in which BC = 4.5 cm, ∟B =45˚ and AB +AC = 5.6 cm 2) Construct a rhombus whose side is of length 3.4cm and one of its angles is 45˚ 3) A triangle ABC can be constructed in which ∟B =60˚, ∟C= 45˚ and AB +BC + AC = 12 cm. Is this Statement true? Justify your answer 4) Construct an equilateral triangle if its altitude is 4.5 cm 5) Construct a ∆ ABC, given that perimeter = 10.5 cm, ∟A = 75˚, ∟B = 60˚ 6) Construct a triangle PQR in which QR =6 CM, ∟Q = 60˚ and PR – PQ = 2cm 7) Construct a triangle in which ∟A =45˚, ∟B = 120˚ AB + BC +AC = 10.4 cm --------------------------------------------------------------------------------------------------------------------------------------------------------------------------- TOPIC: LINEAR EQUATIONS IN TWO VARIABLES CLASS: IX

1) Find four solutions of the linear equation 5x – 4y = - 8 2) Find two solutions of the linear equation 2(x + 3) – 3(y + 1) = 0

3) Draw the graph of the linear equation 2x + 3y = 12. At what points the graph of the equation Cuts the x axis and the y axis 4) Draw the graphs of the equations x + y = 6 and 2x + 3y = 16on the same graph paper. Find

the coordinates of the points where the two lines intersect 5) The auto rickshaw fare in a city is charged Rs 10 for the first km and Rs 4 per km for

Subsequent distance covered. Write the linear equation to express the above statement Draw the graph of the linear equation

6) Check whether the graph of the linear equation 2x +3y = 12 passes through the point (1, 3) 7) If (2, 5) is a solution of the equation 2x + 3y = m, find the value of m (m= 19)

8) Frame a linear equations in the form ax + by + c = 0 by using the given values of a, b and c a) a= -2, b =3, c= 4 b) a = 5, b= 0, c= -1

9) Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k (k = 7) 10) Give the geometric representation of (A) 3 x + 9 =0 as an equation in (a) one variable (B) 2x +1= x - 4 (b) Two variable 11) Solve the equation 2x + 1 = x – 3 and represent the solution on the number line 12) Give the equation of two lines passing through (2, 14). How many more such lines are there and Why 13) Solve for x: a) (3 x + 2) + 4 (x + 1) = 2 (2x + 1) (x=4)

7 5 3 b) 8y + 21 = 3y + 7 (y = 7/20) 4 14) If present ages of son and father are expressed by x and y respectively and after ten years father Will be twice as old as his son. Write the relation between x and y 15) Does point (1, 3) lie on the line 3y = 2x + 8 16) If (2, 3) and (4, 0) lie on the graph of equation ax + by = 1. Find value of a and b.Plot the graph the equation obtained 17) Express the equation y = 2x + 3 in the standard form and find two solutions. Is (2, 3) it’s Solution? 18) Express y in terms of x from the equation 3x + 2y = 8 and check whether the points (4, -2) lies on the line. 19) write each of the following as an equation in two variables (in standard form): (a) X = - 5 (b) y = 2 (c) 2x = 3 (d) 5y = 2

Mathematics Assignment Class IX

Chapter:05 Euclid’s Geometry

Q1 Through two points (i) A unique line can be drawn (ii) No line can be drawn (iii) More than one line can be drawn

Q2 Through a fixed point (i) a unique line can be drawn (ii) No line can be drawn (iii) More than one line can be drawn

Q3 Number of line segments required to form a closed figure (i) 2 (ii) 3 (iii) 4

Q4 Two lines having a common point is called (i) parallel lines (ii) intersecting lines (iii) coincident lines

Q5 Euclid arranged all known work in the field of mathematics in his treatise called (i) Elements (ii) Axioms (iii) Postulates

Q6 The things which are double the same thing are (i) halves of the same thing (ii) double of the same thing (iii) equals

Q7 Axioms are assumed (i) universal truths specific to geometry (ii) universal truths in all branches of mathematics (iii) definitions

Q8 A mathematical statement whose truth has been logically established is called (i) an axiom

(ii) a postulate (iii) a theorem

Q9 Euclid’s second axiom is (i) ‘if equals be subtracted from equals the remainders are equals’ (ii) ‘the things which are equal to the same thing are equal to one another’ (iii) ‘if equals be added to equals their wholes are equals’

Q10 Euclid’s fifth postulate is (i) ‘the whole is greater than the part’ (ii) ‘if a straight line falling on two straight lines make the interior angles on the same side of it taken together less than the right angles then the two straight lines if produced indefinitely meet on that side on which sum of angles is less than two right angles’ (iii) ‘all right angles are equal to one another’

_________________________________________________________________

MATHEMATICS –IX (29.08.2019)

Topic: Linear Equation In Two Variables

Q1: Find the value of K if x=2 and y=1 is a solution of the equation (k-2)x + 4y = 10 and have the

graph of the equation. Write the co-ordinate of the point where the graph cuts the y-axis.

Q2: Express y in terms of x in the equation 2x-3y = 12. Find the points where the line represented

by this equation cuts x-axis and y- axis.

Q3: Draw the graph of two lines whose equations are 3x-2y -6 =0 and x+2y-6=0 on the same

graph paper. Find the area of triangle formed by the two lines and x-axis.

Q4: Find the solutions of the form x=a, y=0 and x=0, y=b for the following equations:

2x+5y = 10 and 2x+3y = 6. Is there any common solution?

Q5: If the points A(3,5) and B(1,4) lie on the graph of the line ax+by = 7, find the values of a and b.

Q6: Draw the graphs of 2x+ y=6 and 2x-y +2 =0. Shade the region bounded by these lines and

xaxis. Find the area of the shaded region.

Q7: Draw the graphs of x- y=1 and 2x+y =8. Shade the region bounded by these lines and y-axis.

Shade the area bounded by these two lines and y-axis. Also, determine this area.

Q8: Ravish tells his daughter Aarushi, “Seven years ago, I was seven times as old as you will be”.

If present ages of Aarushi and Ravish are x and y respectively, represent this situation

algebraically as well as graphically.

Q9: If the points A(3,5) and B(1,4) lie on the graph of the line ax+ by = 7, find the values of a and b.

Q10: Draw the graphs of each of the following linear equations in Cartesian plane

(i) x-2=0 (ii) 2x + 4 = 3x + 1

TOPIC: PROBABILITY CLASS: IX

------------------------------------------------------------------------------------------------------------- 1. Three coins are tossed once, find the probability of getting at least one head (7/8)

2. Three coins are tossed simultaneously 200 times with the following frequencies of different

Outcomes:

Out comes 3 Heads 2 Heads 1 Head No head

Frequency 23 72 77 28

Find the probability of getting: a) 2 Heads (9/25)

b) at least 2 Heads (19/40)

3. A dice is thrown once, find the probability of getting a prime number (1/2)

4. A dice is thrown once. Find the probability of getting:

a) An even number

(1/2)

b) A prime number

(1/2)

c) A number greater than 4

(1/3)

5. A fair die is tossed once. Find the probability of getting:

a) a number more than or equal to 3 ( 2/3)

b) a multiple of 3 (1/3)

6. A letter of English alphabet is choosen at random. Calculate the probability that the letter

choosen is a vowel ( 5/26)

7. A bag contains 15 balls numbered 1 to 15. Find the probability of drawing a prime number,

When one ball is drawn from the bag at random (2/5)

8. Marks obtained by 50 students in a class test of 100 marks are given below :

Marks 0 - 25 25 - 50 50 – 75 75 - 100

No of students 4 12 18 16

Find the probability that a student obtained less than 50% marks ( 8/25 )

9.In a one day international cricket match , a batsman played 40 balls. The runs scored as

Follows

Runs

scored

0 1 2 3 4 6

No of balls 13 15 5 1 4 2

Find the probability that the batsmen will score :

a) 6 runs ( 1/20)

b) A four or a six run (3/20)

10. One number is choosen at random from numbers 1 to 100. Find the probability that it is

divisible by 4 or 6 (33/100)

11. In a survey of 80 people, 60 people like apple juice and remaining dislike it . Find the

Probability that people dislike apple juice (1/4)

12. 250 families with 2 children are selected randomly and following data were obtained:

Number of sons in family 2 1 0

Number of families 75 125 50

Find the probability of families having:

a) 2 sons

(3/10)

b) 1 son

(1/2)

c) no son

(1/5)

13. 1500 family with 2 children were selected randomly and the following data was recorded:

Number of girls in family 2 1 O

Number of family 475 814 211

Compute probability of a family chosen at random having

a) At most 1 girl (41/60)

b) At least 2 girls (19/60)

14. Probability of an impossible event is always………

a) 0 b) 1 c) 2 d) ½

15. A die is thrown once. The probability of getting an even prime number is

a) ½ b) 1/3 c) 1/6 d) 2/3

16. A coin is tossed once then probability of getting head is

a) 2 b) 1 c) ½ d) 3

17. There are 10 bulbs in a bag in which 4 bulbs are good and rest are fused, then the

Probability of fused bulbs is

a) 3/5 b) 2/5 c) 1 d) 2/3

18. Sum of the probability of happening and not happening of an event is

a) 1 b) 2 c) 0 d) none of these

19. The probability of winning a game is 0.3. Then, the probability of losing a game is a)

0.3 b) 0.7 c) 0.6 d) 0.1

20. The Probability of a sure event is

a) 1 b) – 1 c) 0 d) none of these

21. Out of 35 students participating in a debate 10 are girls. The probability that winner is a

boy is :

a) 1/7 b) 3/7 c)4/7 d) 5/7

22. Which of the following cannot be the probability of an event

a) 1/5 b) 0.3 c) 4% d) 5/4

23. In a cricket match, a batsman hits a sixer 8 times out of 32 balls played. The probability

that a sixer is not hit in a ball is :

a) 0.75 b) 0.25 c) – 0.25 d) 0.5

SUB: Mathematics CLASS: ΙX TOPIC: Surface Areas and volumes -------------------------------------------------------------------------------------------------------------------------------------------------------

1. The curved surface area of a cylinder of height 21cm is 660cm2 ,find its radius. (r = 5cm) 2. The Volume of a cylinder is 448 π cm3 and height 7 cm. Find its total surface area. (754.28cm2) 3. The volume of a sphere is 905 1/7 cm3. Determine its diameter. (12cm) 4. If the volume of a sphere is 36 π cm3, then find its radius (3 cm) 4. The outer diameter of a spherical shell is 10 cm and inner diameter is 9cm. Find the volume of the metal contained the shell (141.95cm3) 5. the length, breadth and height of a room are 5 m, 4m and 3m. Find the cost of colour washing its four walls and ceiling at the rate of Rs 7.50 per square metre. (Rs 555) 6. Three cubes each of 5cm edge are joined end to end. Find the surface area of the resulting Cuboid (350 sqcm) 7. Two cubes of side 6 cm each joined end to end. Find the surface area of the resulting cuboid. (360cm2) 8. The radii of two right circular cylinders are in the ratio 2:3 and their heights are in the ratio 5:4 Calculate the ratio of their curved surface area (5:6) 9. How many metres of cloth 5m wide will be required to make a conical tent, the radius of whose base 7m and height 24m? (110m) 10. The outer and inner diameters of a hemispherical bowl are 17cm and 15cm find the cost of polishing it over at 25 paise ( Rs 25.14) percm2

11. A river 2m deep and 30m wide is flowing at the rate of 2km per hour. How much water will fall into the sea in a minute (2 000m3) 12. The volume of a cube is 125cm3. Find its surface area (150cm2) 13. Find the length of the longest pole that can be put in a room of dimensions 6m x 6m x 3m (9m) 14. The surface area of a sphere is 5544cm2, find its diameter. (42 cm) 15. The sum of the radius of the base and height of a cylinder is 37m. If the total surface area of the Solid cylinder is 1628m2, find the volume of cylinder (4620m3) 16) A hemispherical bowl is made of steel 0.25cm thick .The inner radius of the bowl is 5 cm. Find the outer curved surface area of the bowl. (173.25 cm2) 17) The ratio of the CSA to the TSA of a right circular cylinder is 1: 3. Find the volume of the cylinder If its T S A is 1848 cm2 (4312 cm2) 18) The diameter of a roller, 120cm long is 84cm. It takes 500 complete revolutions to level a Playground. Find the cost of leveling it at the rate of Rs 25 per sq metre. (Rs 39,600) 19) The height of a cone is 15cm. If its volume is 1570 cm3, find the radius of the base. (π = 3.14) (r = 10cm) 20) Find the surface area of a sphere whose volume is 99/7 cm3 (r = 1.5cm, SA= 198/7 cm2) 21) The total surface area of a solid hemisphere is 1848cm2. Find the volume of the hemisphere. (5749.3 cm3) 22) A hemispherical bowl of internal radius 9cm is full of a liquid. This liquid is to be filled into Small cylindrical bottles of diameter 3cm and height 4cm each. Find the minimum number Of bottles required to empty the bowl (54) 23) Curved surface area of a cylinder is 4400cm2 the circumference of its base is 110 cm.Find the height of the cylinder ( 40 cm) 23. Base circumference of a cylinder is 132 m and its height is 2m. Find its curved surface area (264m2) 24) Three solid spheres of iron whose diameters are 2cm, 12cm and 16cm respectively are melted Into sphere. Find the radius of the new sphere (9 cm) 25) The radius and height of a cylinder are in the ratio 2:3. If the volume of a cylinder is 1617cm3 Find its radius and height (7 cm, 10.5 cm) 26) A solid cube of side 12 cm is cut into 8 cubes of equal volumes. Find the side of new cube (6 cm) 27) The paint in a certain container is sufficient to paint an area equal to 9.375 sqm. How many bricks of dimensions 22.5cm x 10cm x 7.5cm container can be painted out of this? (100) 28) Find the total surface area of the cone whose base radius is 8cm and sum of base radius and slant height is 21cm (528 sqcm) 29) The height of a rectangular room is 2.5m. The cost of painting its four walls at the rate of Rs. 20/m2 is Rs.2500. Find the perimeter of the room (50m) 30) A cone and cylinder are having equal base radius. Find the ratio of the heights of cone and cylinder if their volume is equal 31) The radius of sphere is 5cm. If the radius is increased by 20%. Find how much percent volume is increased 32) The radius of a spherical balloon is inflated from 1.5 cm to 2.5 cm by pumping more air in it. Find the ratio of surface Area of resulting balloon to the original balloon 33) The curved surface area and volume of a cylindrical pillar are 264cm3 and 396cm3.. Find the diameter and height of the pillar 34) A right circular cone is 5.4cm high and radius of its base is 2cm. It is melted and recast into another right circular cone with radius of base as 1.5 cm. Find the height of the new cone formed 35) If the volume of a sphere is divided by its surface area then the result is 27. Find the radius of sphere 36) Total cost of making a cylindrical pipe is Rs 7040 at the rate of Rs 5 per cubic meter, if the height of cylindrical pipe is 7m then find its radius (8m) 37) A well of diameter 8 m is dug out up to 7 m. Calculate the volume of the earth dug out (392 m3)

Class: IX Subject : Mathematics Assignment 2: Polynomials

1. If two polynomials ax3 + 4x2 + 3x – 4 & x3 – 4x + a leave the same remainder when divided by (x – 3), find the value of a.

2. Evaluate using identities:- (a) 103 x 97 (b) (0.99)2 (c) 1053

3. Find the remainder when 4x3—3x2+2x—4 is divided by x+2.

4. Show that (x – 1) is a factor of x10 – 1

5. Find the value of a, if (x – a) is a factor of x3 – a2x + x + 2.

6. Determine the value of a for which the polynomial 2x4 – ax3 + 4x2 + 2x + 1 is divisible by (1 – 2x).

7. Factorize the polynomials:-

(a) x3 – 6x2 + 11x – 6 (b) (a2 – b2)3 + (b2 – c2)3 + (c2 – a2)3

(c) x3 + 13x2 + 31x – 45 given that x + 9 is a factor

(d) 8x3 + 273 + z3 – 18xyz (e) (a + b)3 + (b + c)3 + (c + a)3 – 3 (a + b) (b + c) (c + a)

8. Factorize:-

(a) a3 – 0.216 (b) 2x2 -6

5x +

12

1 (c) (x + 1)3 + (x – 1)3

9. Give possible expressions for the length and breadth of a rectangle having A = 35y2 + 13y – 12 (Area).

10. Evaluate using a suitable identity:- (1.93)3+(0.07)3—(2)3

11. Find the product: (2x – y + 3z) (4x2 + y2 + 9z2 + 2xy + 3yz – 6xz)

12. Factorize by splitting the middle term :

(a) 9x2 – 3x—9 (b) x2 + 14x +40 (c) 5x2+ 16x+3

Class: IX Subject : Mathematics Assignment 3: Coordinate Geometry

1. Write the coordinates of a point which:-(a) Lies on the x-axis and is at a distance of 4 units to the right of the origin.(b) Lies on the y-axis and is at a distance of y units below the x-axis.(c) Is at a distance of 3 units from the x-axis and 7 units from the y-axis. [there would be four such points]

2. Draw the graphs of the eqs:- (a) 3x – 2y = 7 (b) y = 2on the same pair of axes. Read the coordinates of their point of intersection.

3. Find the point where the line represented by the equation 5y – 3x – 10 = 0 cuts the y-axis.4. Draw the graph of the line 3x + 4y = 18. With the help of graph find value of y when x = 2. (show this point on

the graph)5. On a graph draw a quadrilateral whose vertices are (1,1), (2,4), (8,4) and (10,1). Justify the quadrilateral.6. How will you describe the position of the table lamp on your study table to another person?

7. Draw the graph of y = 2x + 4. Use the graph to find the area between the line and the axes.8. in which quadrant will the point lie, if:-

(a) ordinate is 3 and abscissa is – 7(b) abscissa is – 10 and ordinate is – 4(c) Ordinate is 4 and abscissa is – 6.

9. Fill in the blanks:-(a) The coordinates of the origin 0 are ………………………(b) The y coordinate of every point on the x-axis is ……………(c) Distance along the x-axis is called ………………………(d) Distance along the y-axis is called ………………………(e) The point (x,y) = (y,x) only if ………………………

MATtiSCLASS IX ASSIGNMENT: OCT - NOV

A8SIGNMf.l"T: 9·0CTOBlm AR.EAS OF PARALLF:LOGRAMS

In the g.ver, figure ,\ReD is a trapezium in w1jich i\B IIDC and its diagonal AC and BD intersect at O.

Prove that at (aAOO) _c. 3. (BO(~) D _----.----.---\c,,--...:.:;:_. »>"........... ~/ ->~ ./ /. 0'-"'-... \,,.....r <,

/'."- <,•. /~/- ..•.....•.........•... \.~ ... ...._. . ':...~ B

3. In the given fig •.ire ABCD is a parallelogram. If nr (L\BAP) = IOcm1 and ar(l~CPD}=. 30cm2 then find ar Iparallelograrn ABC'D).

A/. -;;"'-:?""I r~...,....,

f' ..-'~ I

f-"..... ~

L',--"-I_____-=-2J c

4. ABeD is a parallelogram. H I'C: ?A'-l:3 ~nd ar (L'.•.BPC) = l6cm2 then find ar(AADP).

D ..------- ....--- C----....-----P

/\AL·-----~B

5. In the given figure, °is any point on the diagonal BD of parallelogram ABCD. Prove that Ar (MOD) '" ar(~COD)

o C

A

6. AD is the median of t..ABC. If ar (t..ABD) '= x cnr' and ar (MBC) is y em", find the relation between x and y.

7. In MBC. D and E are two points that trisect base Be. Show that ar(t..ADE) == 1/3 ar (L\ABC)

8. ABCD is a rhombus whose one angle is 60°. Prove that the ration of the lengths of its diagonal is Jj: l.9. Prove that of all the parallelograms of which the sides are given rectangle has the greatest area.

10. Show that diagonal of a parallelogram divide it into 4 triangles of equal area.