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A.E.A The Professional coaching Academy for I.C.S.E "IX & X" STD in Physics,Chemistry & Maths.

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Paper 1 PhysicsSection A (40 Marks)

(Answer all the Questions)

Question 11. If 1 gms-1 = xNs, then what is the value of x? [2]2. What is the SI unit of a) luminous intensity b) Amount of substance? [2]3. 1 hour has 60 minutes or 3600 second. Find the order of magnitudes of minutes & second. [2]4. A vernier callipers has 10 divisions on its vernier scale and on the main scale 1 cm is divided into 10

divisions. While finding the volume of a solid cylinder, the following observations were taken. Find itsvolume in SI unit. [4]

Question 21. Give any two examples of vector quantities. [2]2. When does a concave mirror give a virtual image? Justify your answer with a ray diagram. [3]3. State Newton’s universal law of gravitation. What is the SI unit of universal constant of gravitation?

[2]4. Can Bangalore and Chennai have same value of acceleration due to gravity ‘g’? Why? [2]5. When does water have its maximum density? [1]

Question 31. What is retardation? What is its unit? [2]2. Draw position - time graph of two objects moving in the same direction with unequal velocities. [2]3. A car moves in a semi circular track of radius 1000 m. What is the displacement of the car if it starts

from one end and stops at the other end? What is the distance travelled by the car. [3]4. A ball is thrown vertically up. Draw its velocity - time graph. [1]5. A ball is released from the top of a tower of height ‘h’ m. It takes ‘T’ s to reach ground. What is the

position of the ball in T/3 second with respect to the ground? [2]

Question 41. An offshore oil rig is expected to withstand stress at depth. If the depth of the ocean is 5 km, ignoring

ocean currents, what is the expected pressure? (Take density of sea water = 1030 kgm-3) [2]2. What is the density of solid block which floats in water of density 1000 kgm-3 with 20% of its volume

above water? [3]3. What is the principle of Hydraulic brakes? [1]4. Mention the SI unit of upthrust. [1]5. A wooden raft of mass 50 kg is floating on the surface of water. Density of the raft is 600 kgm-3 and

density of water is 1000 kgm-3. What is the maximum amount of water it can displace? [3]

Object Dimension MSR CVD

Solidcylinder

length 5 7

diameter 1.2 7

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Section B (40 Marks)(Answer Any Four Questions)

Question 51. On a humid day, the sound of a siren is heard quicker. Why? [2]2. While doing an experiment to determine the acceleration due to gravity of a particular place using simple

pendulum, what is its time period if its length is 60 cm? (Take g = 9.8 ms-2) [2]3. What is SONAR? Mention any one of its use. [2]4. Derive the relationship between the velocity, frequency and wavelength of a sound wave. [2]5. Give any two difference between longitudinal and transverse waves. [2]

Question 61. An object is at a distance of 30 cm from a concave mirror of focal length 8 cm. What is its radius

curvature? Find the position of the image by drawing. [3]2. How many images are formed when two plane mirrors are parallel? [1]3. What is the minimum height required for a plane mirror to show a person’s full image? [1]4. Give any two applications of concave mirrors. [2]5. Complete the following diagrams: [3]

Question 71. Which instrument is used for measuring the following:- [4]

a) The growth of the stem of a plant.b) The diameter of the inner gap in a compact disc.c) The time taken for 20 oscillations in a simple pendulum.d) To find the unknown level of water in a beaker.

2. What is the principle of a periscope? Where is it used? [2]3. Distinguish between uniform velocity and average velocity. [2]4. a) What is the distance travelled by light in one month? (1 month = 30days) b) What is the distance travelled by sound in one hour at 0oC? [2]

Question 81. At sea level, the atmospheric pressure is 1.04 x 105 pa. Assuming g = 10ms-2 and density of air to be

uniform equal to 1.3kg m-3, find the height of the atmosphere. [2]2. Give two reasons why water is not a barometric liquid. [2]3. A block of wood is floating on water with its dimensions 25cm x 25cm x 25cm inside water. Calculate the

buoyant force acting on the block . Take g = 9.8 ms-2 [2]4. A block of wood floats in water with 1/5th of its volume above the surface. Calculate the density of

wood. [ Take density of water as 1gcm-3 ] [2]5. a) What is centre of buoyancy? b) State the principle of floatation. [2]

Question 91. The coefficient of cubical expansions of copper is 5.1 x 10-5 per oC. Calculate its coefficient of linear

expansion. [2]2. What is anomalous expansion of water? State any one of its consequence. [2]3. Calculate the normal temperature of the human body (98.4oF) on the celsius and kelvin scale. [3]

O

FO F

F

a) b)c)



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4. a) Why is a ventilator provided in a room? [3]b) Why a room heater is installed near the floor of the room?

Question 101. What causes electrification of two bodies when a) they are rubbed together? b) what is an ion ? [2]2. What is the purpose of an electroscope? Name any two electroscopes. [3]3. In the electric circuit shown below, label different parts A,B,C,D,E,F. [3]4. Mention any two factors on which the electrical resistance of a wire depend. [2]

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B A F

E

C

D



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Question11. An aeroplane flies towards north and covers 300 km in 20 minutes. Calculate its velocity in a)kmph

b)ms-1 [2]2. Define the term uniform acclereation. [1]3. Draw the position - time graph of a body undergoing uniform velocity. [1]4. A man rows his boat at a uniform acceleration at the rate of 10 ms-1 in 10 seconds . He then stops rowing

and the boat comes to rest in the next 10 seconds. [3]a) Draw the velocity-time graph.b) Distance covered with uniform acceleration.c) Calculate the average retardation.

5. A stone is vertically thrown upwards. It takes 5 s to return to the thrower. Calculate the maximum heightattained by the stone (Take g = 10ms-2). [2]

6. Convert 20 ms-1 into kmph. [1]

Question 21. Give any two examples of inertia of rest. [2]2. Calculate the linear momentum of electron of mass 9 x 10-31 kg moving with the velocity of

5 x 107 ms-1. [2]3. A force of 15 N acts on a glass ball of mass 500 g for 10s. Assuming the ball to be initially at rest, find its

a) final velocity b) distance covered. [2]4. A bullet fired with a force of 4200 N hits a wooden plank and stops. If the bullet is having a mass of 25g

and velocity of 400 ms-1 . What is the distance travelled by the bullet in the wooden plank? [2]5. State Newton’s law of gravitation. Mention the unit of universal gravitational constant. [2]

Question 31. How do car radiators work? [2]2. What are three main kinds of wind that blow over the globe? [3]3. Give any two applications of heat radiations. [2]4. Explain the following :

a) Why are cloudy nights warmer than the calm and clear nights?b) Dirty snow melts faster than the clean snow. Why?c) Why do people prefer to wear white clothes to dark clothes in summer? [3]

Question 41. Distinguish between real image and virtual images for a mirror [2]2. Define the following terms in relation to a concave mirror. [2]

a) Pole b) aperture c) focal length d) radius of curvature.3. From the diagram below, show the formation of image by taking two rays from point X. State four

characteristics of the image. [3]

4. Explain how a concave mirror is used as a shaving glass [2]5. Where should the object be placed before a concave mirror to get the same size of image as that of the

object. [1]

C Y

x

P

M



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Question 51. What are the strongest and the weakest forces available in nature? [2]2. a) Why is it hard to walk on a slippery surface? [1]

b) What are motions in one dimension, two dimensions and three dimensions? [3]3. A 0.1 kg bullet acquires a speed of 500 ms-1 in a gun barrel of length 1 m. What is the average force

exerted on the bullet ? [3]4. What is the direction of normal reaction of the floor on the body? [1]

Question 61. Give any two examples of periodic motion. [2]2. On the surface of the moon, two astronauts cannot hear each other. Why? [2]3. How long does it take for sound to travel in an iron rail of length 10 km? [Speed of sound in iron is 5280

ms-1] [2]4. Laplace gave a correction to Newton’s formula for velocity of sound in air as [3]

ϑ = p

pγ

a) What is γ ? b) What is its unit? c) What is its value in air?5. How does the speed of sound vary with respect to moisture in air? [1]

Question 71. a) What is global warning? [1]

b) What are the effects of global warning (any two)? [2]c) Name any two green house gases? [2]

2. Which mode of heat transfer happens in the following cases? [2] a) Formation of ice on a lake. b) Cooking of rice on a gas stove.3. What is the boiling point of water on Frarenheit scale? [2]4. What is the fastest mode of transfer of heat? [1]

Question 81. Express the image formation in a periscope with a neat diagram.

[3]

2. Complete the following ray diagram. Mention any three characteristicsof the image. [4]

3. What is rectilinear propagation of light? [1]4. Distinguish between a real and a virtual image. [2]

Question 91. Complete the following: [2]

o

a) 1m ........A= b) 1m ........fermi= c) 1PF ........F= d) 1giga pascal ......... pascal

2. a) What are valence electrons? [1]b) What is a cation? [1]c) Mention the magnitude of the charge of an electron. [1]

3. a) What happens to a negatively charged gold leaf electroscope, when an uncharged metal rod is broughtnear the brass disc? [1] b) What kind of charge is acquired by an ebonite rod rubbed with fur? [1]

A

B FCP



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4. Draw the simple atomic model of the lithium atom whose atomic number is three. [1]5. Draw an electrical circuit diagram consisting of the following components. a) D.C source

b)Rheostat c) 2 resistance in series d) Volt meter e) plug key f) Ammeter. [2]

Question 101. State and define the SI unit of potential difference. [2]2. A wire of length 2m has a resistance 5 Ω . What happens to its resistance if its length is increased to 4 m

? [2]3. Give any two properties of magnetic field lines? [2]4. Is magnetic field a vector or a scalar? [1]5. Draw the diagrams of the following:

a) Bar magnet. b) Horse shoe magnet. c) Magnetic needle. [3]

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Question 11. A base ball is thrown vertically upwards. When will it have maximum and minimum velocity? [2]2. When is a body said to have acceleration? [2]3. What do the following v-t graphs represent? [2]

4. A stone thrown up at 10 ms-1 reaches a maximum height of 40m. Find its maximum velocity, minimumvelocity, time of ascent and time of descent (Take g = 10 ms-2) . [4]

Question 21. While measuring the diameter of a bob of a simple pendulum, the main scale of the vernier callipers reads

2.45cm and 4th division on the vernier scale coincides with the main scale. There are 10 divisions on 1 cmon the main scale and 10 vernier divisions are equal to 9 divisions on the main scale. Find the least countand the diameter of the bob in centimetre and metre. [4]

2. Find the order of magnitude of the following:- [2]a) 256.725 x 10-6 m b) 82578.002 x 106 kg.

3. Write in the correct form for the following units. [2]a) Joule b) mts/sec c) joule/kg/k d) N-s-m-2

4. When the headscale of a screw gauge is rotated 5 times 10mm are exposed. The head scale contains50 divisions. Find the pitch and least count of the screw gauge. [2]

Question 31. Mention any two basic forces in nature. [2]2. Distinguish between scalar and vector quantity. Give two examples for each. [4]3. Find the acceleration produced in a body of mass 3kg when a force of 18N acts on it. [2]4. Define momentum? How is it measured? What is its direction? Write its S.I. Unit? [2]

Question 41. What is fluid thrust? Give its S.I. unit. [2]2. Name any two factors on which the pressure at any point inside a liquid depend [2]3. State Pascal’s law. Give any two application of it. [2]4. Express the relationship between the weight W of the body which acts in the downward direction and the

buoyant force or the upward thrust W which acts in the upward direction .[3]

5. Mention the S.I unit of pressure [1]

↑

to

→

v↑v

→to

(a) (b)

(a) (b) (c)



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Question 51. A scooter of mass 150 kg is moving with a uniform velocity of 80 kmh-1. What is the force required to

stop the vehicle in 10 second? [3]2. Arrange the following natural forces in decreasing order of magnitude. gravitational force, electrostatic

force, nuclear force. [1]3. A bus starts from rest and accelerates uniformly for 10 s to a velocity of 20 ms-1. Then it runs at a

constant velocity for 5s & it comes to rest in the next 5s. Draw the velocity - time graph of this motion.Find the distance travelled by the bus in this case. [4]

4. What is the time period of a simple pendulum of length 50 cm? (Take g = 10 ms-2 ) [2]

Question 61. Mention any two factors that affect barometric height. [2]2. Why does a fountain pen leak on higher altitudes when it is taken from the ground. [2]3. Define meta-centre of a floating body. Mention the positions of meta-centre when the body is in a) stable

equilibrium b) Unstable equilibrium c) neutral equilibrium. [4]4. Name any two commercial hydrometer. [2]

Question 71. Why do we not prefer water as a thermometric liquid? Give two reasons. [2]2. Convert - 200oC into a) Kelvin b) Fahrenheit scale. [3]3. A metal cube of side 10 cm at 30oc increases by 0.2 cm while heating it to 600oC. Calculate the coefficients

of linear, superficial and cubical expansion. [4]4. What is a thermostat? [1]

Question 81. What is lateral inversion? Explain with the help of a diagram. [2]2. How many images are formed in two plane mirrors held at an angle of 36o. [2]3. Mention any ONE use of (i) plane mirror (ii) convex mirror (iii) concave mirror [3]4. Complete the following ray diagram. Mention any two characteristics of the image. [3]

Question 91. Mention any two characteristics of medium which alter the speed of sound. [2]2. The distance between three consecutive crests of a wave is 90 cm. If the waves are produced at the rate

of 240/min, calculate the (i) wave length (ii) time period (iii) wave velocity. [2]3. What are elastic waves? Give an example? [2]4. What is the magnitude of electric potential on earth? Why? [2]5. A charge of 100 C is brought from infinity to given point in an electric field. Find the electric potential at

that point if the work done is 5J. [2]

Question 101. Draw a neat diagram of Gold leaf electroscope and mention its parts. [3]2. You are provided with two resistors of resistance 2Ω each. Which combination will you prefer to get the

maximum resistance? What is the value of that resistance ? [2]3. What are the three types of magnetic substances ? Give an example for each. [3]4. Define a) isogonic line b)Agonic line [2]

C B F

A

P



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Question 11. When is a body said to be a) at rest b) in motion. [2]2. What is acceleration due to gravity? What is its value on the earth? [2]3. Express 100 Kmh-1 in ms-1 . [1]4. A train takes 3 hours to travel from Bangalore to Mysore with a uniform speed of 70 Kmph-1 . What is the

distance between the two cities? [2]5. The figure shows the velocity- time graph of a particle in a straight line. [3]

a) How long does the particle accelerate? b) What is its deceleration? c) What is the total distancetravelled by the particle?

Question 21. Define linear momentum. What is its S.I. Unit? [2]2. What is the cause of motion of a body from rest? What is the SI unit of that physical quantity? [2]3. A car of mass 500 kg moving at a speed of 60 km per hour is stopped in 10s. Calculate the force

applied by the brakes. [2]4. Distinguish between mass and weight. [2]5. When a shot is fired from a gun, the gun gets recoiled. Explain. [2]

Question 31. In a hydraulic machine, a force of 15 N is applied on the position of area of cross section 200 cm2. What

force is applied on its piston of area of cross section 300cm2 ? [2]2. Name two applications of Pascal’s law. [2]3. Name the two factors which affect the atmospheric pressure when we go up. [2]4. Convert 15 mm of Hg into pascal. Take density of mercury = 13.6 x 103 kg m-3 and g = 9.8 ms-2.[2]5. A cube of side 3cm is placed inside a liquid. The pressure at the centre of one face of cube is 5 pa.

Calculate the thrust exerted by the liquid on this face. [2]

Question 41. Distinguish between an atom an ion. [2]2. The charge of a body is +5 milli coulomb. Find the number of electrons in excess or deficit on the

body. [2]3. Draw a neat labelled diagram of a gold leaf microscope. [2]4. What is a lightning conductor? Which metal is used for making it? [2]5. What is the minimum possible charge? [1]6. What do you mean by the quantum nature of charge? [1]


Question 51. What is the most convenient unit of mass you will use to measure? [2]

a) mass of a cricket ball b) a medicine capsule.

V

2

o 1 2 3 4 5 6 (s)

A

C

Velocity (ms-1)

Time B

4



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2. What are the order of magnitudes of the following quantities? [2]a) 1.7 x 10-30 kg b) 2285725 m c) 9.1 x 10-27 kg d) 0.0004587 s

3. The least count of a vernier calliper is 0.01cm and it has an error of +5.While measuring the length of thecylinder, the reading on the main scale is 8.40cm and the 7th division coincides with the main scale. Whatis the length of the cylinder. [2]

4. The thimble of a screw gauge has 100 divisions for one rotation. The spindle advances 1 mm when screwis turned through two rotations. [2]a) What is the pitch of the screw? b) What is the least count of the screw gauge?

5. a) What is a seconds pendulum? b) What are the two factors on which the time period of a simplependulum depends? [2]

Question 61. An electromagnetic radiation has a wavelength of 800 A. If the velocity of the radiation is 3 x 108 ms-1,

what is its a) Frequency b) time period. [2]2. The wavelength and frequency of a sound wave in a certain medium is 100cm and 2000 Hz respectively.

If the wavelength is changed to 125 cm, in the same medium, calculate a)Velocity of sound b) newfrequency. [2]

3. A ripple tank produces waves at the rate of 100/min. The distance between one crest and the next crestin 4.5 cm. Calculate (i) time period (ii) wave velocity. [2]

4. How do bats manage to avoid obstacles in its way while flying? [2]5. Mention any two characteristics of a medium. [2]

Question 71. Define the following: [2]

a) electric conduction b) electrostatic induction.2. A charge of 100 c flows through a conductor for 2 minutes. Find the magnitude of current flowing

through a conductor. [2]3. With a neat labelled diagram of a simple voltaic cell, show the direction of flow of electric current and

flow of electrons. [4]4. Distinguish between geographic meridian and magnetic meridian. [2]

Question 81. Draw a diagram showing two bulbs connected in parallel to a dry cell [1]2. Draw the symbols of the following elements in an electric circuit [2]

a) fixed resistance b) inductor c) cell d) rheostat.3. Mention any two properties of magnetic lines of force. [2]4. Why is the knowledge of declination important for the navigators? [2]5. Explain, why steel is used in preference to soft iron for making permanent magnets. [2]6. Why do lines of magnetic force never cross? [1]

Question 91. Calculate the pressure exerted by 1 m vertical length of alcohol of density 0.80 g cm-3 in S.I. units (Take

g = 10 ms-2). [2]2. Pressure in a water pipe on the ground floor of a building is 100,000 pa. Calculate the pressure in the

water pipe on the first floor at a height of 5m. [Density of water = 1000 kg m-3; g = 10 ms-2] [2]3. A solid weighs 0.16 kgf in air and 0.130 kgf in water. Find (i) R.D of solid. (ii) Density of solid in S.I

units. [Density of water = 1000 kg m-3]. [2]4. State Pascal’s law. [2]5. Why does a ship made of iron float while an iron nail sinks in it? [2]

Question 101. Convert 75oc into a)Kelvin b) Fahrenheit scales. [2]2. State any two disadvantages of thermal expansion of solids. How they are rectified? [2]



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3. Calculate the initial length of a metal rod at 25oc if increase in length of this rod is 2 cm when heated to6000c. [Given α for metal rod = 15 X 10-6 /0C] [3]

4. How do fishes survive in frozen lakes? [1]5. Name any two properties of radiant heat. [2]

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Question 11. Express the following CGS units into their respective SI units. a) 100 dyne b) 30 erg. [2]2. What is the velocity of a) light in kmh-1 (c = 3 x 108 ms-1) b) sound in kmh-1 (v = 330 ms-1) [3]3. Write the following units in the correct form. a) J/kg/k b) 3 milliamps c) 100 mts / sec d) 100 Newton

second. [2]4. a) A vernier callipers has 20 divisions on the main scale in 1 cm. There are 10 divisions of vernier

scale coinciding with 9 divisions on the main scale. What is its least count? [2]b) Mention any one use of the upper jaws of the vernier callipers. [1]

Question 21. a) What is the frequency of a seconds pendulum?

b) On a certain planet, a simple pendulum of length 0.5 m takes 20 second for 20 oscillations. What is theplanet’s acceleration due to gravity? [3]c) What is the magnitude of tension developed in a rope such that the rope is pulled by 1000 N at each end?[2]

2. a) An ice cube floating in a liquid is contained in a beaker. The liquid is completely filled in the beaker upto the brim. What happens when the ice fully melts? [2]b) Why is the dam of water reservoir thick at the bottom? [2]c) What is the approximate frequency range of ultrasound? [1]

Question 31. Why is wavelength of a radiation preferred as a standard of length? Give two reasons. [2]2. Does a body moving along a circular path have acceleration? [2]3. The gas pedal of an automobile is generally called an accelerator. Mention any other control that can be

also considered as an acclerator? why? [2]4. A car changes its speed from 25 ms-1 to 30 ms-1. Meanwhile a bicycle also goes from rest to 5 ms-1 .

Both take 5s to gain this. Which vehicle undergoes greater accleration ? What is the acceleration of eachvehicle? [3]

5. What is the significance of accleration - time graph? [1]

Question 41. a) Name the instrument used for measuring the blood pressure. [1]

b) Express the value of 1 atmospheric pressure in SI unit. [1]2. An auto rickshaw travels at the rate of 30 kmh-1 for 5 minutes, then 60 kmh-1 for 10 minutes and finally

at 20 kmph-1 for 3 minutes. Calculate the total distance travelled and average speed of the complete trip.[5]

3. Why is a block of ice always covered with saw dust? Explain. [2]4. Define coefficient of cubical expansion. [1]


Question 51. The incident ray and the reflected ray from a plane mirror are mutually perpendicular. Find the glancing

angle of incidence. Show the phenomenon with a ray diagram. [2]2. An object A is at a distance 100 cm in front of a plane mirror M. If the mirror is now moved 30 cm away

from A, how does the image shift from its previous position? [2]3. Complete the following by means a ray diagram. [2]



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4. State the relationship between the focal length and the radius of curvature for a spherical mirror.[1]5. State the types of mirrors used by [3]

a) a dentist b) a hair dresser in a salon c) a driver to view the vehicles approaching from behind.

Question 61. State any two differences between a transverse and a longitudinal waves. [2]2. Obtain the relationship connecting the velocity, frequency and wave length of a wave. [2]3. How do temperature and humidity affect the velocity of sound in air? [2]4. A wave generator produces 50 crests and 50 troughs in 0.5 second. What is the frequency of the wave?

[2]5. What is the audible range of frequency for human ear? [1]6. What is the velocity of ultrasonic sound in air at 0oC? [1]

Question 71. Give any two difference between heat and temperature. [2]2. Why do telephone wires sag in summer and become tight in winter? [1]3. Why does your school clock show different times by a few seconds in winter and summer? [1]4. How much heat should be given to a brass rod if its length should be increased by 0.5%? (Given α =

0.00002 0C-1) [2]5. The length of mercury thread in a thermometer rises by 10 cm when it is transferred from dry ice to steam.

If the thermometer is to be calibrated in 0C, find the size of one degree. [2]6. Give any two applications of thermal expansion. [2]

Question 81. A body weighs 300gf in air and 200gf when completely immersed in water. Calculate a) the loss in weight

of the body in water b) the upthrust on the body. [2]2. State Archimede’s principle. Describe an experiment to verify Archimede’s principle. [3]3. What is the centre of buoyancy? [1]4. The relative density of silver in 10.8. What is its density in S.I. unit? [2]5. What is a hygrometer? State the principle on which it works. [2]

Question 91. Which of the following are not fundamental units? Kelvin, joule, ampere,newton, mole, second. [2]2. Complete the following : [2]

a) 1 µ g = ...............kg b) 1 fermi = .................m3. The pitch of a screw gauge in 0.5 mm and the head scale is divided into 50 parts.What is the least count

of screw gauge? [2]4. What is the backlash error in a screw gauge? How is it avoided? [2]5. What happens when a simple pendulum is taken to the moon which has no atmosphere and acceleration

due to gravity is one sixth that at earth’s surface? Explain. [2]

Question 101. Find the current when 1 µ e of charge passes through a cross section of a conductor in 10s. [2]2. What is the relationship between volt, joule and coulomb? [2]3. How is the resistance of a wire affected when a) its length doubled b) radius doubled? [2]

C FP

b)

C FP

a)



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4. State any two evidences of the existence of earth’s magnetic field. [2]5. Distinguish between a natural and an artificial magnet. [2]

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Paper 6 ChemistrySection A (40 Marks)(Answer All The Questions)

Question 1I. Define the following terms :-

a) i) Absorption. ii) Occlusion. iii)Photosynthesisiv) Vulcanization. v) Activity series. vi) Hydrogenation. [6]

b) What is meant by “Available chlorine”? Give equation. [2]

c)When BaSO4 salt is added to BaCl

2 solution, it turns to form a curdy white precipitate. To the precipitate if

dilute HCl is added it does not disappear. Why? Give an equation. [2]

II. State your observations and write equation for the reaction. [6]a) i) Ammonium di chromate crystals. ii) Hypochlorous acid is subjected to diffused sun light.iii) Foam type fire extinguisher hits on the floor.

b)Differentiate between [4]i) Valency and valence electron. ii) Chemical formula and chemical change.

III. Identify and explain the process involved in industrial preparations of [3+4+3]i) Hydrogen ii) Nitrogen and oxygen iii) Sulphur.

IV. Select the correct answer from the bracket. [10]i) Which metal among the following dissolves in both acids and alkalies?a) Mg b) Al c) Fe d) Cu.ii) The element whose outermost electron is least securely held isa) Al b) Mg c) Fe d) Na.iii) The element which does not import any colour to the bunsen flame isa) Na b) Cu c) Al d) Ca.iv) Rusting of iron involves the formation ofa) Hydrated ferrous oxide b) hydrated ferric oxide. c) Ferroso ferric oxide d) ferrous hydroxide.v) The metal which does not give hydrogen on treatment with dilute HCl isa) Fe b)Cu c) Al d) Mg.vi) The most electro positive element among the following isa) Cu b) Al c) Na d) Fe.vii) Galvanised iron is prepared from coating iron witha) Chromium b) Nickel c) Copper d) Zinc.

viii) Iron belongs to the elements ofa) s-block b) d-block c) f-block d) p-block.ix) Point out the double salt among the following.a) Mohr’s salt b) blue vitriol c) green vitriol d) cuprammonium sulphate.x) Which of the following is the weakest base?a) NaOH b) Ca(OH)

2 c) KOH d) Cu(OH)

2.


Question 2.a) Fill in the blanks : [6]

The period -1 contains ____elements, and periods - 2 and 3 ____elements each. There are ___ horizontal



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rows called periods, and ___ vertical columns called groups. An element in period -3 will have __electronicshells or orbits and in group VA will ___ valence electrons in its outermost shell. [2/3/5/7/8/10/18].

b) Copy and complete the following table : - [4]

P ro p e rt y R h o m b ic S u lp h u r P la s t ic S u lp h u r

C o lo u r

N a tu re

C ry s t a l S h a p e

S o lu b ilit y

Question 3.a) Justify the use of :- [4]

1. CO2 - manufacture of aerated drinks. 2. Cl

2 - sterlization of water.

3. CO - as a fuel. 4. N2 - tinned food products.

b) The diagram represents the preparation of oxygen from KClO3 & MnO

2 [4]

1. State why the test tube is kept in the inclined position.2.Name the residue left behind in the test tube after the completion of the reaction.3. State why the delivery tube is removed from the trough before the heating is stopped.4. Give the chemical equation for the above reaction.

c) Classify the following as Oxidation or Reduction with respect to the underlined substance [2]1. CuO + H

2 →Cu + H

2O. 2. 2FeCl

2 + Cl

2 → 2 FeCl3.

3. Br

2 + H

2S → 2HBr + S. 4. 2 KI + H

2O

2 → I

2 + 2KOH.

Question 4.a) Match the form of sulphur or its compound from list I with its correct application from List II.

List - I List - II1. Powdered Sulphur A) Sulphuric acid manufacture2. Colloidal Sulphur B) Gun Powder3. Metallic thiosulphates C) Paper industry4. Calcium bisulphite D) Photography5. Sulphur trioxide E) Medications. [5]

b) A gas occupies 700ml at S.T.P. Find the volume occupied by the gas when its pressure is 400mm of Hg andits temperature 15oC. [5]

Question 5.a) Define the following : - [3]



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1. Boyle’s law. 2. Mendeleev’s periodic Law.b) Draw electron dot diagram to depict the formation of NaCl from

11Na23 &

17Cl35 [2]

c) Reactions can be classified as : [5]A) Direct combination B) Decomposition C) Simple displacement D) Double decompositionE) Redox reaction.State which of the following types takes place in the reactions given below :i) Cl

2 + 2KI →2KCl + I

2 ii) 2Mg +O

2 →2MgO. iii) SO

2 + 2H

2O + Cl

2 →2HCl + H

2SO

4.

iv) AgNO3 + HCl →AgCl + HNO

3. v) 4HNO

3 →4NO

2 + 2H

2O +O

2.

Question 6.a) The diagram represents an apparatus used for water of crystallisation of hydrous copper [II] sulphate

crystals [5]

1. Name the substance ‘A’ found in the test tube with its Molecular formula.2. What was the color of ‘A’ before heating?3. Define the term crystallisation?4. Give a chemical equation for the above reaction.5. What is the nature of substanc ‘B’ after heating?

b) Fill in the blanks : [5]1. In the formation of an ionic bond ___ of electrons takes place, while in the formation of a ____ bond,sharing of electrons takes place.2. The ionic character of a covalent bond is due to the differences in the ___of bond forming elements.3. Ionic bond is favoured by a ___ value of ionisation potential and ____value of electron affinity.

Question 7.

a) Give the atomic numbers of the following [6]1. Second alkali metal. 2. Second halogen.3. The element with three unpaired electron.4. The element with the largest electroneagtivity. 5. The element with the smallest ionisation energy in the4th period. 6. The first transition element.

b) Mention the raw materials used in the manufature of i) Urea ii) C.A.N. [4]

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Question 1

I) Choose the letters A, B, C or D to match the descriptions (i) to (v) given below [5]i) Chromium isa) An alkali metal b) an alkaline earth metal c) a transition metal d) a lanthanide.ii) The allotropic form of sulphur which is insoluble in carbon di sulphide isa) Rhombic sulphur b) monochloric sulphur c) plastic sulphur d) none of these.iii) Which among the following has the highest ionisation energy.a) Na b) Mg c) K d)Rb.iv) On adding Cu turnings to a hot mixture of a salt and Concentrated H

2SO

4 brown fumes are noticed. This

is a test fora) Bromide b) Nitrate c) Sulphate d) Iodide.v) A salt on heating with water liberates colourless gas which turned lime water milky. The gas isa) Hydrogen chloride b) Hydrogen iodide c) carbon di oxide d) Sulphur di oxide.

II) Complete the following equations: [5]i) KHCO

3 + H

2SO

4 →__ + __ +__. ii) CuSO4 →__+ __ +__.

iii) CaCO3 + HCl →__ +__ +__. iv) NH

4Cl + NaNO

2 → ___ +__ + __.v) Fe

2O

3 + H

2 →___ +___ + ___.

III) What do you observe when : [5]i) Solid Ammonium chloride is heated in a test tube.ii) Potassium chloride with concentrated HCl paste is introduced to Bunsen flame.iii) Dilute hydrochloric acid is added to marble chipsiv) Carbon di oxide gas reacts with milk of lime.v) Hydrocarbon burns in air.

IV) Name the following [5]i) The atom which does not have a neutron.ii) The scientist who proposed the nuclear theory.iii) The constituent particle present in the nucleus of an atom.iv) The most reactive non metal is.v) The element with atomic number 36 belongs to which block in the periodic table.

V) Give one word/ term for the following:- [5]i) Distribution of electrons. ii) Electrons present in last but one shell.iii)Chemical combinations of atoms involves. iv) Isotopes of chlorine having 20 neutrons.v) Number of lone pair of electrons in NH

3 molecule.

VI) State one property of carbon (allotrops) [5]i) Due to which it is used in lead pencils. ii) Used as gem.iii) That makes it a good fuel. iv) production of black shoe polish.v) production of calcium carbide.

VII) The types of chemical reactions are [5]a) Direct combination b) decomposition reaction. c) simple displacement d)double decomposition. State thetype of chemical reaction that takes place for the following reactions:i) Cl

2 + Ca(OH)

2 →CaOCl2 . H

2O. ii) 2HgO →2Hg + O

2.

iii) KNO3+H

2SO

4 →HNO3 +KHSO

4.iv) Cl

2 + 2KBr → 2KCl + Br

2.v) PbO

2 + SO

2 →PbSO4.



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VIII) Select the correct method from the methods in brackets for separation of each mixture. i) Hydrogen &Ammonia [Diffusion, Distillation]. [5]ii) Methyl alcohol & ethyl alcohol [filtration, fractional distillation].iii) Iron fillings and sulphur [solvent extraction, Boiling].iv) Potassium nitrate + sodium chloride [ Fractional crystallisation, filtration]v) PbCl

2 + water [Filtration, Evaporation].


Question 21. Complete the following [10]

G ro u p 1 2 1 3 1 4 1 5 1 6 1 7 1 8

S e c o n dp e rio d

L i _ _ B C _ _ o _ _ _ _

E le c tro n icc o n fig u ra tio n

_ _ 2 .2 _ _ _ _ 2 .5 _ _ 2 .7 2 .8

Va le n c ee le c tro n

1 _ _ 3 4 _ _ 5

Va le n c y 1 _ _ _ _ _ _ _ _ _ _ 1 0

Question 31. In the laboratory preparation of Hydrogen by action of dilute HCl on zinc.

i) Name the reactants taken in round bottomed flask. [1]ii) Give a balanced chemical equation for the above. [2]iii) How is the purification of H

2 gas done name the impurities. [4]

iv) Why is the gas collected by the downward displacement of water. [1]v) Give one precautions to be taken in preparation. [1]vi) What is granulated zinc. [1]

Question 41. In the laboratory preparation of Nitrogen

a) Why are reactants in the round bottom flask are in solution state. [1]b) N

2 gas is generally not obtained in the laboratory by direct heating on ammonia nitric alone. Why? [1]

c) Chemical Nitrogen is free from ‘argon’ what does the statement explains. [2]d) Give a balanced chemical equation for the above preparation. [2]e) Why is the gas collected over water. [1]

2. What happens when ammonium dichromate crystals are heated ? [3]

Question 51. Identify A white crystalline solid ‘A’ which decrepitates on heating leaving a residue‘B’ which fuses with the

glass and evolves two gases C & D one of which is coloured and acidic. Identify A, B, C, D give the possiblechemical equation. Name the colour of the residue. [5]

2. A coloured mixed oxide ‘A’ which leaves a yellow amphoteric oxide ‘B’ residue and evolves a neutral gas‘C’ which rekindles a glowing splinter. Identify A, B, C. Give a chemical equation. What is the original colourof the salt. [5]



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Question 61. Match the following [4]

a. Na+ i) crimson red.b. Ca++ ii) lilacc. Ba++ iii) golden yellowd. k+ iv) brick red

v) apple greenQuestion 7 Answer the

following : - [6]1) How many periods are there in the long form of periodic table?2) How many groups are there in the long form of periodic table?3) State modern periodic law.4) Name the alkali metal, having the highest atomic radius and the least ionisation energy.5) Why electron affinity of fluorine is less than that of chlorine?6) Which is the smallest among the following atoms Na, Al, Cl,.

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Question 1.a) Select the correct answer :- [5]

1. Calcium oxide dissolves in water to give ____[lime stone, slaked lime, milk of lime].2. Identify the alkali metal : Copper, Sodium, Lead.3. The reaction of nitrogen with ____. [O

2/H

2/Cl

2] under specific conditions is called Haber’s process.

4. Sulphur burns in air or oxygen to give ___ which dissolves in water to give ___[ SO2, SO

3, H

2SO

3,

H2SO

4].

5. Chlorine reacts with H2S to give __as the oxidized product [S,SO

2,SO

3]

b) Name or state the following: [5]1. The most reactive alkali metal.2. The group which contains the elements having electronic configuration 2,7 and 2,8,7.3. A metal which is so soft that it can be cut with a knife.4. If A, B, C, D, E, F, G, H, I, J and K represent metals in the decreasing order of their reactivity, which oneof them is most likely to occur in a free state in nature?5. The metal which has been placed at the bottom of the reactivity series.

c) Write a balanced chemical equations by combining the given substances:- [5]1. Methane + steam.2. Calcium + hydrogen.3. Aluminium + hydrogen.4. Sulphur +chlorine (gas).5. Carbon di oxide + coke.

d) Change the following statements by replacing the underlined words:- [5]1. Oxidation reaction is addition of electro positive element.2. A catalyst which decreases the rate of a chemical reaction is called a positive catalyst.3. Protons have a negative charges which are emitted from the cathode.4. Moseley stated that properties of elements are periodic functions of their atomic weights.5. When carbon di oxide gas dissolves in water it forms carbon mono oxide.

e ) Mention the TERMS used for each of the following:- [5]1. The process of change from liquid state to solid state at a particular temperature.2. Pressure remaining constant the volume of a given mass of dry gas is directly proportional to its absolutetemperature.3. A short and scientific notation of an element.4. Atoms of the same elements having same atomic numbers but different atomic weights.5. Elements from cerium 58Ce to Lutetium 71Lu in period 6.

f) Pick the ODD one out :- [4]1. An element Lead shows variable valency ____ [ Pb2+, Pb3+,Pb4+ ].2. Attempted to classify elements in increasing order ____[ Newland, Mendeleev, Moseley].3. Nucleous includes ___ [ protons, neutrons, electrons] inside the nucleus.4. Physical properties of CO ___________ [ colourless, odourless, non-combustible].

g) 1. What do you observe when:- [2]a) A burning candle is introduced in a jar of Cl

2



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b) Water is added to slaked lime.2. Give reasons for the following:- [2]a) It is dangerous to smoke or be in the vicinity of smokers.b) Nitrogen obtained from air is slightly heavier than Nitrogen obtained from chemical compounds.

3.Complete and balance the following equations. :-a) NH

4OH + H

2SO

4 →

b) Na2SO

3 + HCl → [1]

h) 1. Write chemical formula of the following [1]a) Slaked lime. b) Silica.

2. Write chemical name of the following compounds. [1]a) HNO

2 b) NaAlO

2.

3. Calculate the molecular weight of calcium sulphate [At weight Ca = 40, S = 32, O =16]. [2]

i) A colourless gas which is neutral to litmus rekindles a glowing wooden splinter. What happens to pyrogallolsolution. [2]


Question 2a) For four elements A, B, C, D the following details are given below : [8]

E le m e ntM a s sN u m be r

N um be r o fN e utro ns

A 4 0 2 0

B 1 9 1 0

C 2 0 1 0

D 2 3 1 2

State (i) the number of protons is A, B, C, D. (ii) state the nature of element A, B, C, D.(iii) electronicconfiguration of D.(iv) the kind of bonding when D reacts with B. [2]

Question 3a) Balance the following equations : [5]

i) AgOH → Ag + H2O +O

2. ii) ZnS + O

2 → ZnO + SO

2.

iii) Pb(NO3)

2 → PbO + NO

2 + O

2. iv) Fe + H

2O Fe

3O

4 + H

2.

v) Mg3N

2 + H

2O → Mg(OH)

2 + NH

3.

b) i) State 1. Boyle’s law 2. Charle’s law. [2]ii) What is absolute zero? [1]iii) Carbon di oxide occupies a volume of 512 cm3 at stp. Find its volume at 27oC and 720 mm of Hg.[2]

Question 4a) Define the terms [3]

(i) oxidation. (ii) reduction. (iii) redox reaction.

b) State one significant observation when - [3]i) Chlorine gas is exposed to starch iodide paper.



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ii) Chlorine gas is exposed to moist blue litmus paperiii) Chlorine gas is dissolved in water.

c) Write balanced equations for the reactions of sulphur with [4]i) Sulphuric acid ii) carbon iii) Hydrogen iv) Iron.

Question 5a) Draw an electron dot diagram to show the formation of: [4]

i) Nitrogen molecule ii) Methane.

b) Hydrogen gas is a strong reducing agent.i) Give an experimental evidence to show this property (procedure). [3]ii) Give a chemical equation to support your answer. [1]iii) What is your conclusion to support the above experiment. [2]

Question 6a) Answer the following [5]

i) What is Hydrogenation of coal? Give a reason for this property.ii) What is “bone black” or “ivory black”.iii) What is “nitrolim”. How is it prepared.

b) Nitrogen finds application in the manufacture of: [5]a) High temperature thermometers.b) Tinned food products.c) As a refrigerant.d) By plants.Give one reason or property of Nitrogen involved in the above applications.

Question 7i) Explain a simple experiment to show the solubility of O

2 in water [4]

ii) Support your answer with an analogy or example. [2]iii) Give the temperatures for the following with respect to O

2[2]

(a) Liquefaction b) freezing point or boiling point.iv) What happens when phosphorus burns in air. Give the complete balanced equation for the abovereaction. [2]

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Paper 9 ChemistrySection I (40 Marks)

(Answer all the Questions)Question 1a) Select the correct answer: [5]

1. Identify the halogen : Iodine, Radium, Argon.2. Bleaching action of chlorine is permanent because it takes place by ____ [oxidation /Reduction/Redoxreactions].3. ____burns in oxygen to give a basic oxide [Mg/Zn/Al].4.Concentrated nitric acid is converted to sulphuric acid by reaction with ____[so

2/s/concH

2SO

4].

5.Carbon monoxide reacts with chlorine in the presence of ____[heat/sunlight/cao] to give phosgene.

b) Name or State the following: [5]1.The lightest element.2.The group from the groups IA, IIA, VIA and VIIA whose elements are most electronegative.3.Two metals which are both malleable and ductile.4.An element A has electronic configuration of 2,8,1 whereas another element B has electronic configuration2,8,3 which of the elements is more reactive.5.Name one metal more reactive and another less reactive than hydrogen.

c) Write a balanced Chemical equation by combining the given substances :- [5]1. Coke + Steam. 2. Potassium + Nitrogen. 3. Calcium + Nitrogen.4.Sulphur + Carbon. 5. Sodium + Chlorine.

d) Change the following statements by replacing the underlined words : - [5]1. Oxidation reaction is the gain of hydrogen.2. Substances which influence the rate of reaction by improving the efficiency of a catalyst is called ainhibitors.3. Electrons carry no electric charge and are neutral.4. Dobereiner introduced the law that every eighth element was a repetition of the first.5. When sulphur di oxide gas dissolves in water it forms sulphuric acid.

e ) Mention the TERMS used for each of the following :- [5]1.Temperature at which liquid changes rapidly into the gaseous state without any further change in temperature.2.Temperature remaining constant, volume of a given mass of a dry gas is inversely proportional to itspressure.3. A group of atoms of elements that behaves like a single unit and shows a valency.4.The physical and chemical properties of elements are periodic functions of their atomic numbers.5. Elements of both Lanthanide and Actinide series.

f) Pick the ODD one out : - [4]1.An element copper shows variable valency _____ [Cu1+, Cu2+, Cu3+].2.Periodic properties include _____ [ Valency, Ionisation, Metallic & Non Metallic properties].3.Sub-atomic particles are found in the centre of _____ [protons, electrons, neutrons] nucleus of an atom.4. Physical properties of CO

2 ___ [colourless, combustible odourless].

g) 1. What do you observe when : - [2]a) Heated iron is introduced in a jar of Cl

2 .

b) Water is added slowly to quick lime.2. Give reasons for the following :- [2]



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a)It is dangerous to sleep in a closed room with a coal fire burning.b)Animals die in an atmosphere of Nitrogen.3.Complete and balance the following equations: [1]a) PbO

2 + 4HCl → b) 3CuO + NH

3 →

h) 1.Write chemical formula of the following: [1]a). Nitrolim. b) Gypsum.2. Write chemical name of the following compounds: [2]a) KClO.b) KClO

4

3. Calculate the molecular weight of calcium hydroxide. [2]

[At weight Ca = 40, O = 16, H = 1]i ) A colourless, odourless gas which is neutral to litmus. which burns with a pale blue flame producing a pop sound.

1. Identify the gas. 2. Give the equation. [1]


Question 2a) Show the electron dot diagram for the formation of following compounds & also state the type of bond

formed in each case.i) Magnesium oxide. ii) Methane. iii) Ammonia.

b) Electrovalent compounds have light melting and boiling points. Why? [10]

Question 3a) Answer the following questions:

1. What is vertical column in the periodic table called?2. What is the basis of mendeleev’s periodic table?3. What is periodicity?4. How many groups are there in the periodic table?5. How many elements are there in the fourth period of the periodic table?6. Which of the following in representative element? Na, Ce, Cr, Cu.7. Which of the following is a transition element? C, K, Kr, Fe.8. Which of the following belong to the lanthanide group of elements? Ti, Ce, Mn, U.9. What is the common feature of ions : Na+, Mg2+, Al3+.10.Which of the following has the largest radius? N3-, O2-, F-. [10]

Question 4a) For the formulaes written give conventional name and the oxidation number of N in each formula.

(Conventional Name : Nitrogen pentoxide, Nitric oxide, Nitrogen sesquioxide, Nitrous oxide, Nitrogen dioxide).1. N

2O.

2. NO.3. N

2O

3.

4. NO2.

5. N2O

5. [6]

b) In the Laboratory preparation of Hydrogen, the following wash bottles are used to purify the gas. Matchthe wash bottles and U-tube used for this purposes.



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List A List Ba) wash bottle i) Moisture.Containing AgNO

3 solution.

b) wash bottle ii) NO2, CO

2, SO

2.

containing Pb(NO3)

2 solution.

c) wash bottle iii) H2S.

containing KOH solution.

d) U-Tube iv) AsH3, PH

3.

containing CaCl2 (anhydrous). [3]

c) Give reason: Lead cannot be used in the preparation of Hydrogen using dilute acids. [1]

Question 5a) Answer the following

1) Name an acid-base indicator.2) What is the function of an indicator in a titration?3) What colour change is observed when an acid solution containing methyl red is neutralized by a base?4) Which indicator shows a pink colour in basic medium and is colourless in acid medium?5) Give an example of a monobasic acid.

b) A balloon contains 5.41 dm3 of helium at 24oC and 101.5 kpa suppose the gas in the balloon is heated to35oC. What is the volume of the gas if the new pressure is 102.8kpa. [10]

Question 6a) [8]

The apparatus shows to identify and test the products of burning candle. a) Identify the labelled apparatusand chemicals in the diagram A.B.C.D.

b) Give a chemical equation for the above reaction.c) What is the purpose of having chemical B in the ‘U’ tube. Give the chemical equation and indicate the

characteristic reaction.d) What is the significance of chemical ‘C’ in the conical flask. Give the possible chemical equation.e ) What is the inference that you draw from the above experiment.b) A colourless pungent gas ‘A’ when subjected to litmus test changes moist red litmus to blue, Identify the

gas ‘A’ and give one confirmatory test to support your answer. [2]

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Paper 10 MathsSection A (40 Marks)

(Answer All Questions)

Question 1a) A student secures 38% of the total marks in an exam and gets 18 marks more than the pass mark. A

second student secures 27% of the total marks in the same exam and fails by 37 marks. What is the passmark? [4]

b) A certain sum of money amounts to Rs.5292 in two years and Rs.5556.60 in three years, interest beingcompounded annually. Find the rate percent and original sum. [4]

c) Factorize : 3a4 − 375a. [2]

Question 2

a) If x 1 y− + y 1 x− = 0 & x ≠ y, make ‘y’ the subject of the formula. [4]

b) If 3x = 2y = 6z, express z in terms of x & y. [3]

c) A man bought 100 mangoes at a certain price with the intention of selling each at a profit of 25%. But 20mangoes got spoiled. If he sold the rest at the intended price, what is his profit or loss percentage?[3]

Question 3a) In the given figure, side CB of the triangle is produced to E and ∠ A

: ∠ B : ∠ C = 2 : 1 : 3. If DB is perpendicular to AB then prove that

∠ DBE = ∠ A. [3]

b) If 0 ≤ A ≤ 90o & Sin (90- 3A) cosec48 = 1, find the value of A.

[3]c) In a hexogon ABCDEF, side AB is parallel to side FE. In ∠B:∠C:∠D:∠E

= 6:4:2:3, Find the angles B, C, D & E [4].

Question 4a) In a parallelogram ABCD, the bisectors of ∠ A & ∠ B intersect at P. Prove that ∠ APB = 90o.[4]

b) Evaluate : sin30 sin90 + 2cos0

tan 30 tan60×

−[2]

c) A cylinder has a diameter of 36 cm. It has water upto a height of 22 cm. A metal cuboid of dimenstions22 cm. A metal cuboid of dimensions 22 cm × 18 cm × 18 cm is immersed in it. Find the new height ofwater level in the cylinder. [4]


Question 5a) Draw the graph of the equations x + 2y = 4 & 3x − 2y = 4.

(i) Find the co-ordinates of the point of intersection of the lines.(ii) Find the area of the triangle between the lines and x-axis. [4]

D

BE

A

C



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b) a2 − 3a + 1 = 0; find (i) a + 1

a (ii) a2 − 2

1

a (give the positive values) [4]

c) Find the median of 18, 30, 39, 36, 28, 27, 31, 40, 33, 25 & 37. [2]

Question 6a) The ratio between the number of sides of two regular polygons is 3 : 4 and the ratio between the sum of their

interior angles is 2 : 3. Find the number of sides in each polygon. [4]

b) Prove that the diagonals of a parallelogram bisect each other. [4]

c) Find the slope and Y-intercept of 5x = 4y +7. [2]

Question 7a) In the following figure, AC = CD,

o oBAD = 110 ; ACB = 74 ;∠ ∠ Prove that BC>CD.

[4]

b) Calculate the circumference of a circle whose area is equal to the sum of the areas of circles withdiameters 4cm, 6cm & 12cm. [3]

c) Divide 60 into 2 parts such that thrice the smaller part equals twice the larger part. [3]

Question 8

a) In the given figure, ABP = C,∠ ∠ AB = 12cm, BP

= 8cm, and BC = 15cm. Find i) AC ii) CP.[4]

b) In the given figure AB = 30m, oB = 90∠ ,

oACB = 45∠ , oADB = 30∠ . Find the length of CD.

[4 ]c) Solve for ‘x’. 9× 3x = 27x-2 [2]

Question 9a) The mean of 40 observations was 150. It was observed that the value 185 was wrongly entered as 105.

Find the correct mean. [3]

b) Construct a right-angled triangle given that the hypotenuse is 7.5 cm and one side is 6 cm. Measure theother side. [3]

c) If x = 5 − 2 6 find x2 − 2

1

x. [4]

Question 10a) The sum of the digits of a two digit number is 5. If the digits are reversed then the number is reduced

by 27. Find the number. [3]b) The bisectors of A∠ and B∠ of a parallelogram ABCD meet CD at point E. Prove that AB = 2BC.

[3]c) The diagonals of a quadrilateral are 11 cm & 18 cm. If they bisect each other at right angles, find the

area of the quadrilateral. [4]

)

A

B DC

110O

74

P

C15

B

12

8

()

A

30m

B45O 30O

DC



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Question 1

a) In the given figure C∠ = 30o, B∠ = 90o. If BC = 10 3 cm, find its

area. [3]

b) A sum when lent at 20% p.a. simple interest for ‘x’ years amounted toRs.5600. When the same sum was lent at 30% p.a for ‘(x+1)’ years atsimple interest the amount was Rs.7600. Find the sum.[5]

c) In a parallelogram, prove that the opposite angles are equal. [2]

Question 2

a) If 2 = 1.4 & 3 = 1.7 then find 4 128 + 3 75 −2 108 . [4]

b) Find the mean of 28, 24, 37, 42, 56, 59, 67, 28, 15 & 34. If each observation is increased by 2,4,6,8..........andso on respectively. Find the new mean. [4]

c) Evaluate : 6 − 4 × 5

3(216) ÷ 1

2(36)− . [2]

Question 3

a) Two alternate sides of a regular polygon when produced intersect at 36o. Name the regularpolygon. [4]

b) In the given figure ABCD is a rectangle of perimeter 84 cm with twocircles in it. If AB is twice of BC, find the shaded area.[4]

c) Expand (a+b)4. [2]

Question 4

a) A reduction of 37.5% in the price of apples per dozen enables a customer to buy 6 dozens more forRs.2000. Find the original price of apple per dozen. [4]

b) If cosθ + secθ = 2, then find cos4θ+sin4θ . [4]

c) Solve : x + 2y = 5 & 3x − y = 1. [2]


Question 5

a) Given below are the marks obtained by 30 students. [4]

A

BC ) 30o

10 3cm

A B

D C

1 7 1 8 5 6 5 9 1 6 2 5 2 7 1 9 4 1 5 3

2 9 3 3 4 2 4 4 2 3 4 3 2 4 2 9 5 1 4 0

2 2 5 4 3 0 3 7 2 7 4 9 2 6 3 9 5 2 3 1



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Taking class intervals 10 - 20, 20 - 30, .............. 50 - 60, make a frequency table for the above distribution.

b) In the given figure AB = AC, DE is perpendicular to BE & DF is perpendicular to AF. Prove that, BDbisects EDF∠ . [4]

c) Factorize: x2 + 2

1

x− 2 + 3x −

3

x. [2]

Question 6

a) In the figure given alongside ABCD is a square of side (1 + 2 )

cm. If AE = CF = 1 cm, show that the area of square ABCD equals thearea of DDEF [4]

b) A rope is 64 m long. It is cut into 3 pieces. The longest piece is 3 timesas long as the middle sized piece. The shortest piece is 34 m shorterthan the longest piece. Find the length of the middle sized piece.[4]

c) Find the slope & y-intercept of x - 3y - 8 = 0. [2]

Question 7

a) Show that

x + y - zx

y

a

a

×

y + z - xy

z

a

a

×

z + x - yz

x

a

a

= 1. [4]

b) In the given figure, ABCD is a parallelogram. P & Q are the mid-pointsof BC & AD respectively. If BD = AB then prove that DPBQ is aparallelogram. [3]

c) Mark ‘r’ the subject of the formula, V = π (R2 − r2)h.[3]

Question 8

a) If the given figure A∠ = B∠ = 90o. If APR∠ is 11010o, then find PQR∠ & QPR∠ . [3]

b) The ratio of the number of crows on the left and right branches of a tree is 7 : 13. If 12 crows shift to theleft branch from the right, then the number of crows on both branches will becomes equal. How manycrows were initially there on the left branch? [3]

c) If logba = 4 and log

2b64a = 5, then find the values of a & b. [4]

Question 9

a) The given figure shows a triangle ABC in which AD is the median& AE is perpendicular to BC. Prove that 2AB2 + 2AC2 = 4AD2 + BC2.[5]

EA

D

F

CB

E

G B

H

FCD

A

A DP

CRQB

D C

P

B

Q

A

A

BEDC



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b) Three articles are sold for Rs. 1890, Rs.2400 and Rs.1135 respectively. The first article sold at a profit

of 12.5%, second at a profit of 20%. If on the whole there is a loss of 31

8%, find the cost price of the

3rd article. [5]

Question 10

a) The cost of papering the 4 walls of a room at 75 paise per m2 is Rs.240. The height of the room is 5 m.Find the length and breadth of the room if they are in the ratio 5:3. [4]

b) A model of an aeroplane is made to a scale of 1 : 400. calculate. (i) the length in cm, of the model if thelength of aeroplane is 40 m.(ii) the area of the cockpit in m2, if the area of cockpit in the model is 5 cm2.

[4]

c) Construct a square of side 3cm. [2]

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Question 1a) Find the sum invested at 10% compounded annually on which the interest for the 1st year plus the interest

for the third year amounts to Rs. 1105. [4]

b) Factorize : 25(a −b)2 − 81b2. [2]

c) Solve for x : log (x2+4) −2 log x = 1. [4]

Question 2a) The length, breadth and height of a rectangular solid are in the ratio 5:4:2. If the total surface area is

684cm2, find the volume of the solid. [4]

b) In the given figure AB = BD, AC = CD, oABD = 58∠ ; oDCB = 63∠ ; oDBC = (2x 4)∠ − and

oACB = y + 15∠ , Find the value of x & y.. [4]

c) Draw the graph of y -3 = 0. [2]

Question 3

a) t = mn

r + mq make ‘m’ the subject of the equation. Hence

find ‘m’ if t = 4, q = 4, n = 24 & r = 10. [4]

b) A table was sold for Rs.1800 after allowing a discount of 10%. The dealer still made a profit of 20%. Findi) the marked price of the table ii) cost price. [4]

c) Rationalize: 3

2 3−. [2]

Question 4a) In the given figure ABCD is a rhombus and triangle DEC is equilateral.

If A∠ = 66o find i) CBE∠ ii) DBE∠ .[4]

b) The mean and median of the following observations arranged in ascendingorder are 47 & 48 respectively. 36, 39, 41, 42, 47, x, 52, 53, y, 56. Find thevalues of x and y. [3]

c) If a = b2x, b = c2y and c= a2z then show that xyz = 1

8.[3]


Question 5a) In the given figure, AC = CD ∠ ABE = 128o & ∠ BAC = 108o. Find

∠ BCD. [3]

b) Draw the graph of 2x-y-3=0 & 2x + y = 9 on the same graph paper.Write the co-ordinates of the point of intersection of the lines.[4]

B

D

C

A

E

D C

A B66O

)

D

C

A

108o

B

128o

E

)

)



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c) Evaluate log( 3 3 210 10÷ ) [3]

Question 6

a) If sin3A = 1 & 0 ≤ A≤ 90o, find (i) cos2A (ii) tan2A − 2

1

cos A. [4]

b) In a shooting competition a marksman receives Rs.50 if he hits the mark and pays Rs.20 if he misses it.He tried 60 shots and was paid Rs.130. How many times did he hit the mark. [3]

c) Solve for x: 49x+4 = 72 × (343)x+1. [3]

Question7

a) Make ‘t’ the subject of the formula S = u + 1

2a(2t −1) [3]

b) A machine depreciates by 15% of its value at the beginning of the year. Find the original cost of themachine if it depreciates by Rs.1224 during the second year. [4]

c) Factorize : a2+b2+2ab −c2. [3]

Question 8a) The difference between the two selling prices of an article at a discount of 30% and at two successive

discounts of 20% and 10% is Rs.144. Find the marked price of the article [4]b) AP is the median of triangle ABC. Prove that AB + AC > 2AP. [4]

c) Solve for x: x + x + 1 x + 2

+ 2 3

= 3. [2]

Question 9

a) In a le∆ ABC, AB = 4 cm, AC = 6 cm, & BC = 8 cm. Find the

length of the median of the triangle through A.[5]

b) In the given figure ABC is a right angled triangle, right angled at B.Three semi-circles are drawn with AB, BC& AC as diameters. If AB= 12 cm & BC = 9 cm, Find the shaded area. [5]

Question 10

a) If x2 + 2

1

x= 11. Find the value of 7x3 + 8x - 3

7

x−

8

x. give the positive

value. [3]b) Find the volume of the cylinder whose total surface area is 1628 cm2

and the circumference of its cross section is 44 cm.[4]

c) ABCD is a parallelogram. Calculate the values of x & y.[3]

)

)7y

6x+3y −8o

4x+20o

A

D

B

C

B

A C

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Question 1a) Find a single discount equivalent to 3 successive discounts of 20% , 20% and 10%. [3]

b) If one angle of a pentagon is 140o and the remaining angles are in the ratio 4:2:3:1. Find the smallestand largest angles. [3]

c) Find the area of the triangle whose perimeter is 54cm and whose sides are in the ratio 2:3:4. [4]

Question 2

a) Evaluate 5log2 + 3

2log25 +

1

2log49 − log 28. [4]

b) Solve : 7

x +

8

y = 2 and 2

x+

12

y = 20. [4]

c) Write the least rationalising factor of i) 12 ii) 18 . [2]

Question 3a) A man invests Rs.3000 for 3 years at compound interest. After one year the money amounts to Rs.3240.

Find the rate of interest and the amount to the nearest Rupee at the end of 3 years. [4]

b) If x = 1

x 5−; find x2 − 2

1

x[4]

c) In the given figure AB is the greatest side and BC is thesmallest side.Write the angles x,y & z in ascending order. [2]

Question 4

a) Cos A = 5

13. Evaluate i)

SinA CosA

2tanA

− ii) CotA +

1

CosA. [4]

b) Evaluate : 10+n 3n-4

7n

5 × 25

5[3]

c) The given figure shows a circle with centre O. P is themid-point of chord AB, Show that OP is perpendicular to AB. [3]


Question 5a) ABC is an equilateral triangle. P is a point on BC such that BP:PC = 2:1

Prove that 9AP2 = 7AB2 [4]

b) Six years ago, Ram’s age was 4 times Shyam’s age. Six years hence Ram’s age will be thrice Shyam’sage. Find their present ages. [4]

c) Which is greater? 6 415 or 12 [2]

A P B

O

) xO

yO

(ZOC

B

A

B

A

PC



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Question 6a) The angles of a triangle are (2x+10)o, (3x −15)o and (x+35)o . Find ‘x’. Hence assign a special name to

the triangle. [4]

b) In a parallelogram ABCD, the bisectors of A and B∠ ∠ meet on DC at point P. Prove that AB = 2BC.

[4]

c) Make ‘n’ the subject of the formula x = 90(2 −4

n). Hence find ‘n’ if x is 135. [2]

Question 7a) Inside a rectangular plot of dimensions 70 m × 40 m, a pit of dimension 10 m × 5 m is dug to a depth of

27.5 m. If the earth dug out is uniformly spread in the remaining part of the plot. Find the rise in the levelof the plot. [5]

b) Construct a triangle ABC in which o = 90B∠ , BC = 4.5 cm and AC = 6 cm. [3]

c) Expand (3x −2y + 4 )(3x −2y −4). [2]

Question 8

a) In a right - angled triangle ABC, oABC = 90∠ and D is the mid point of AC. Prove that BD = 1

2AC.

[5]b) The perimeter of a Rhombus is 40 cm and its obtuse angle is 120o. Find its Area. [5]

Question 9

a) In the given figure APP CRP BQ. If AP = 4.5cm, BQ = 7.5 cm, AC = 3 cm & BC = 6cm. Find the length

of CR. [5]

b) In the figure given, find the Area and perimeter of the figure ADCE. [5]

Question10

a) Solve : 5y 4 y 3 y + 6

= 8 5 4

− −− [4]

b) Simplify : 22 sin 38 tan57

tan 60Cos 52 3 Cot 33

− × . [3]

c) Factorize completely : x4 − 64x. [3]

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<

<

<

Q

BC

A

P R

A D

CB

E

12cm

4cm



i x questions pcm

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