PSEB Class 10 Physics Solutions For Chapter 3 Electricity

PSEB Class 10 Biology Solutions For Chapter 3 Electricity

Electric Current (I)

The amount of electric charge (electrons or ions) flowing through a particular area in a unit time is called electric current. Since in metals, electric charge flows through electrons, therefore, electric current can also be defined as the rate of flow of electrons in a metal (or conductor).

Points To Remember About Electric Current

  1. In an electric circuit, the direction of flow of electric current is taken as opposite to the direction of flow of electrons. This is because electrons were not discovered when the phenomenon of electricity was first observed. The only sub-atomic particles known at that time were protons (Recall that protons are positively charged particles). So, electric current was considered to be the flow of positive charges, and the direction of flow of positive charges was taken to be the direction of electric current.
  2. SI unit of electric current is ampere (A). One ampere is the amount of electric current flowing through an electric circuit when an electric charge (Q) of 1 coulomb flows through it in1 second.
  3. Amount of electric current in an electric circuit is measured using Ammeter.
  4. Ammeter is always connected in series in an electric circuit.

Electric Charge (Q) – It is the property of matter due to which matter experiences an attractive or a repulsive force when it is placed in an electromagnetic field. SI unit of electric charge is coulomb (C).

  1. One coulomb is the charge contained in 1.6 x 1018 electrons (Note: Recall that charge on 1 electron = 1.6 x 10-19C)
  • Some examples of electric charge in daily life are as follows:
  • Chattering sound produced by synthetic clothes – When the clothes made up of nylon are rubbed against some other fabric or against the wearer’s skin, static electricity is formed. This electrostatic force developed between the skin and the clothing particles is accountable for the chattering sound caused while removing such clothes.
  • Development of electric charge on a rod – When a metal rod or glass rod is rubbed with a cloth, positive or negative charge develops on it. The type of charge developed depends on the material of the rod, For Example. If a glass rod is rubbed with a cloth, positive charge will develop, whereas if a metal rod is rubbed with a cloth, negative charge will develop.
  • Feeling a short-term electric shock on touching some metal surface – When a person randomly touches a metallic surface (For Example, a doorknob), he or she is prone to feel a short-term electric shock. This is due to the existence of an electrostatic force between the doorknob and the person’s hand. Since the doorknob is made up of metal, it is capable of transferring the electrons to every object that comes in contact with it. This leads to the development of electrostatic interaction between the doorknob and the skin.
  • Photocopy Machine – In a photocopy machine, the original paper is placed on a glass screen. The image of this original paper is transferred to a drum that is positively charged. The ink powder or the toner used is usually charged with a negative polarity. The drum rolls against the paper on which the impression is required to be created. The ink then gets transferred to the paper due to the electrostatic force of attraction, creating a photocopied image of the original document.

PSEB Class 10 Physics Solutions Chapter 3

Relation Between Electric Current (I) And Electric Charge (Q)

If a charge Q flows through a conductor of any cross-section in time (t), then the electric current (I) through the cross-section is given by the equation

I = Q/t

Potential Difference Or Voltage (V)

It is defined as the work involved or the energy released in the transfer of a unit quantity of electricity (.e, charge) from one point to the other, i.e.,

Potential difference = Work done/ Charge

Or, V = W/Q

  • SI unit of potential difference is volt (V).
  • One volt is the potential difference between two points in a current-carrying conductor when 1 joule of work is done to move a charge of1 coulomb from one point to another in an electric circuit, i.e.,
    • 1 volt = 1 joule/ lcoulomb
    • Or, 1V = 1JC-1
  • Potential difference in an electric circuit is measured using an instrument called Voltmeter. Voltmeter is always connected in parallel in the circuit.

Cause Of Potential Difference

The generation of potential difference across the terminals of the cell occurs due to the chemical action within a cell or battery.

Important Points About Electric Circuit

  1. An electric circuit converts electrical energy into other forms of energy, For Example. in a bulb, electrical energy is converted into light energy and thermal energy.
  2. It has at least two parts – a voltage source (e.g. a cell or a battery) and a conductor (i.e., wires).
  3. Switches in the electrical circuits control the flow of current. When the switch is turned on, the circuit is closed and current can flow through it. When the switch is turned off, the circuit is open and current cannot flow through it.
  4. An electric circuit can function only if it forms a closed loop from the battery and back again as shown:

PSEB Class 10 Biology Solutions For Circuit Diagram With Open And Closed Switch

Circuit Diagram

It is a graphical display of an electric circuit using either basic images of parts or industry-standard symbols. A simple circuit diagram consists of multiple parts such as cell or battery, switches, wires, electric components such as an ammeter or a voltmeter, a bulb, etc as shown in the figure below:

PSEB Class 10 Biology Solutions For Circuit Diagram With Voltmeter, Ammeter And Resistor

Important Points About Circuit Diagrams

1. In a circuit diagram, the direction of current is always from positive to negative terminal of the battery or cell (Recall that electrons will follow in opposite direction).

2. The longer end of the battery is the positive terminal and the shorter end of the battery is the negative terminal.

3. The positive end of the ammeter or voltmeter is connected to the positive end of the battery or cell and their negative end is connected to the negative end of the battery.

Circuit Diagram Symbols

PSEB Class 10 Biology Solutions For Circuit Diagram Symbols

Series And Parallel Electric Circuits

These are the two types of electric circuits. They differ in the number of loops through which current can flow.

PSEB Class 10 Biology Solutions For Series And Parallel Electric Circuits

Ohm’s Law

It gives the relationship between potential difference (V) and the current (I).

Ohm’s law states that the current (I) through a conductor between two points is directly proportional to the potential difference (V) across the two points, provided that the temperature remains the same, i.e,

V aI

or, V = IR (1)

where R is constant for the given metallic wire at a given temperature, and is called its resistance.

Resistance (R) – It is the property of a conductor to resist the flow of charge through it.

  • SI unit of resistance is ohm (0).
  • 1 Ohm is the resistance of a conductor when a potential difference of1 volt is applied across its ends, producing a current of 1 ampere.
  • Resistance (R) of a conductor depends on the following factors:
    • Length (I) of the conductor, i.e., R oc I
    • Area of cross-section or thickness (A) of the conductor, i.e., R oc 1/A, and
    • Nature of the material of the conductor.

Combining factors (1) and (2), we get

∴ \(R \propto \frac{l}{A} \quad \text { or, } \quad R=\rho \frac{l}{A}\)

where p (rho) is a constant of proportionality and is called the ELECTRICAL RESISTIVITY of the material of the conductor. SI unit of resistivity is Q m. Resistivity is a characteristic property of the material.

  • Metals and alloys have very low resistivity. They are good conductors of electricity.
  • Insulators (For Example, rubber and glass) have intermediate resistivity.
  • Resistivity of an alloy is generally higher than that of its constituent metals. Alloys do not oxidise (burn) readily at high temperatures. For this reason, they are commonly used in electrical heating devices, like electric iron, toasters etc.
  • Both resistance and resistivity of a material vary with temperature.

Electricity PSEB Class 10 Notes

Difference Between Resistance And Resistivity

PSEB Class 10 Biology Solutions For Difference Between Resistance And Resistivity

Effect Of Change In Resistance On Current

Resistance of a conductor is inversely proportional to the current (as can be deduced from equation i), i.e. R = V/I

Therefore, if the resistance is doubled, the current gets halved.

Resistor – It is a device having electrical resistance.

  • Resistors are used in an electric circuit for protection, operation, or current control.
  • Resistors can be connected in a series connection, in a parallel connection or in combinations of both series and parallel.
  • Resistors always obey Ohm’s Law irrespective of the combination or complexity of resistor network.

Resistors In Series – Resistors are said to be connected in “Series”, when they are chained together in a single line as shown:

PSEB Class 10 Biology Solutions For Resistor In Series

Resistors In Parallel – Resistors are said to be connected together in parallel when both of their terminals are respectively connected to each terminal of the other resistor or resistors, as shown:PSEB Class 10 Biology Solutions For Resistors In Parallel.

PSEB Class 10 Biology Solutions For Resistors In Series And Parallel

Conductance (G) – The reciprocal of resistance is called conductance, i.e., G = 1/R

SI units of conductance are siemens (S).

Heating Effect Of Electric Current – When an electric current is passed through a conductor, the conductor becomes hot after some time due to the conversion of some electric energy into heat energy.

Cause Of Heating Effect Of Electric Current – Heating effect of electric current occurs due to collision of electrons in the conductor, as explained below:

  • When a potential difference is applied across the ends of a conductor, its free electrons get accelerated in a direction opposite to the applied electric field.
  • But the speed of the electrons does not increase beyond a certain speed because during the course of their motion they collide frequently with the positive metal ions.
  • During these collisions between the free electrons and the metal ions, the kinetic energy of the moving electrons is transferred to the metal ions. As a result of this, the metal ions begin to vibrate about their mean position.
  • Due to the vibrations of the metal ions about their mean positions, the kinetic energy of the metal ions increases. This in turn results in an increase in temperature, i.e., heating of the conductor.

Factors Affecting Heating Effect Of Current – The Heating effect of electric current depends on three factors:

  1. Resistance Of The Conductor– The Higher the resistance more the heating effect.
  2. Amount Of Current Flowing Through The Conductor– Higher the amount of current, more will be the heat generated.
  3. Time For Which The Current Flows Through The Conductor – Longer the time for which current flows through the conductor more will be the heat generated.

Derivation of formula for heat produced by electric current flowing through a conductor

Consider the following circuit diagram:

PSEB Class 10 Biology Solutions For Derivation Of Formula For Heat Produced By Electric Current Flowing Through A Conductor

Let I = current flowing through the circuit

R = Resistance of the resistor

V = Potential difference across the two terminals of the resistor

t = Time during which a charge Q flows across the circuit.

We know that

PSEB Class 10 Physics Important Questions Chapter 3

Potential difference (V) between two points = Work done (W)/Charge (Q)

Or, V = W/Q ….(1)

But Q = I x t, and V = I x R …..(2)

Substituting the values of Q and V from equation (2) in equation (1), we get

I x R = W/ I x t

Or, I x R x I x t = W

Or, W = I2Rt

Assuming that all the work done is converted into heat energy we can replace “W” with “H” in the above equation, to get

H = I2Rt

Uses Of the Heating Effect Of Electric Current

  1. In Heating Devices such as electric iron, electric toaster, electric oven, electric kettle, electric heater, etc.
  2. Electric heating is used to produce light in an electric bulb. Here, the filament must retain as much of the heat generated as is possible, so that it gets very hot and emits light. It must not melt at such high temperature. A strong metal with high melting point such as tungsten (melting point 3380°C) is used for making bulb filaments.
  3. Electric fuse used in electric circuits – It protects circuits and appliances by stopping the flow of any unduly high electric current. FUSE IS ALWAYS PLACED IN SERIES WITH THE DEVICE. A fuse consists of a piece of wire made of a metal or an alloy of appropriate melting point, For Example., aluminium, copper, iron, or lead. If a current larger than the specified value flows through the circuit, the temperature of the fuse wire increases. This melts the fuse wire and breaks the circuit. The fuse wire is usually encased in a cartridge of porcelain or similar material with metal ends.

Disadvantages Of Heating Effect Of Electric Current

  1. Undesirable as it converts useful electrical energy into heat. Thus, some energy gets wasted.
  2. In electric circuits, the unavoidable heating can increase the temperature of the components and alter their properties.

Electric Power (P) – The rate at which electric energy is dissipated or consumed in an electric circuit is called electric power (P).

The formula for calculating electric power is:

P = V x I …..(1)

But according to Ohm’s law, V = I x R…..(2)

Substituting value of “V” from equation (2) in equation (1), we get

P = I x R x I

Or, P = I2R

But, I = V/R (from Ohm’s law), therefore

P = V2/R

SI unit of electric power is watt (W).

One watt is the power consumed by a device that carries 1 A of current when operated at a potential difference of 1 V.

Thus, 1 W = 1 volt x l ampere = 1 V A

Since, unit ‘watt’ is very small, we use a much larger unit called ‘kilowatt’ (1 kW = 1000 W).

Further, since electrical energy is the product of power and time, the unit of electric energy is, therefore, watt hour (W h).

One watt hour is the energy consumed when 1 watt of power is used for 1 hour.

Commercial Unit Of Electric Energy is Kilowatt hour (kWh), commonly known as ‘unit’.

1 kW h = 1000 watt x 3600 second = 3.6 x 106 watt second = 3.6 x 106 joule (J).

PSEB Class 10 Science Chapter 3 Solutions

Chapter 3 Electricity Reason- Assertion Questions And Answers

The following questions consist of two statements -Assertion (A) and Reason (R). Answer these questions by selecting the appropriate option given below:

  1. Both A and R are true and R is the correct explanation of A.
  2. Both A and R are true but R is not the correct explanation of A.
  3. A is true but R is false.
  4. A is false but R is true.

Question 1. Assertion (A): Tungsten metal is used for making filaments of incandescent lamps.

Reason (R): The melting point of tungsten is very low.

Answer: 3. A is true but R is false.

Question 2. Assertion (A): When the resistances are connected end-to-end consecutively, they are said to be in series.

Reason (R): In case the total resistance is to be increased, then the individual resistances are connected in series.

Answer: 2. Both A and R are true but R is not the correct explanation of A.

Question 3. Assertion (A): When the resistances are connected between the same two points, they are said to be connected in parallel.

Reason (R): In case the total resistance is to be decreased, then the individual resistances are connected in parallel.

Answer: 2. Both A and R are true but R is not the correct explanation of A.

Question 4. Assertion (A): The fuse is placed in series with the device.

Reason (R): Fuse consists of a piece of wire made of a metal or an alloy of appropriate melting point.

Answer: 2. Both A and R are true but R is not the correct explanation of A.

Question 5. Assertion (A): The coil of a heater is cut into two equal halves and only one of them is used into heater. The heater will now require half the time to produce the same amount of heat.

Reason (R): The heat produced is directly proportional to square of current.

PSEB Class 10 Science Chapter 3 Solutions

Answer: 2. Both A and R are true but R is not the correct explanation of A.

Question 6. Assertion (A): A current carrying wire should be charged.

Reason (R): The current in a wire is due to flow of free electrons in a definite direction.

Answer: 4. A is false but R is true.

Question 7. Assertion (A): An Electron has a negative charge.

Reason (R): Electrons move always from a region of higher potential to a region of lower potential.

Answer: 3. A is true but R is false.

Question 8. Assertion (A): Heater wire must have high resistance and high melting point.

Reason (R): If resistance is high, the electric conductivity will be less.

Answer: 2. Both A and R are true but R is not the correct explanation of A.

Question 9. Assertion (A): In a chain of bulbs, 50 bulbs are joined in series. One bulb is removed now and circuit is completed again. If the remaining 49 bulbs are again connected in series across the same supply, then light gets decreased in the room.

Reason (R): Net resistance of 49 bulbs will be less than 50 bulbs.

Answer: 4. A is false but R is true.

Question 10. Assertion (A): The connecting wires are made of copper.

Reason (R): The electrical conductivity of copper is high.

Answer: 1. Both A and R are true and R is the correct explanation of A.

Chapter 3 Electricity Case Or Source-Based Questions And Answers

Question 1. The table shows the current in three electrical appliances when connected to a 240 V main supply.

PSEB Class 10 Biology Solutions For The Current In Three Electrical Appliance When Connected To A 240 V Main Supply

1) Identify the electrical appliance having the highest electrical resistance

  1. Electric lamp
  2. Electric toaster
  3. Electric kettle
  4. Electric iron

Answer: 1. Electric lamp

2) Calculate the power rating of the kettle when connected to a 240 V main supply.

  1. 2000 W
  2. 2160 W
  3. 3010 W
  4. 200 W

Answer: 2. 2160 W

3) How much current would be drawn by an electric toaster when it is connected to a 120 V supply?

  1. 4 A
  2. 1 A
  3. 10 A
  4. 2A

Answer: 4. 2A

4) Calculate the power rating of the lamp when it is connected to a 240 V main supply.

  1. 300 W
  2. 120 W
  3. 200 W
  4. 240 W

Answer: 2. 120 W

5) 92 Watt = _____ J/S

  1. 920
  2. 9.2
  3. 0.92
  4. 92

Answer: 4. 92

PSEB Class 10 Science Chapter 3 Solutions

Question 2. In the below circuit, a nichrome wire of length ‘L’ is connected between points X and Y, and note the ammeter reading. The experiment is performed and repeated by inserting another nichrome wire of the same thickness but twice the length i.e., ‘2L’.

PSEB Class 10 Biology Solutions For A Nichrome Wire Of Length L Is Connected Between Points X And Y

1) What are the changes observed in the ammeter readings?

  1. Ammeter readings decreases, becomes half
  2. Ammeter readings increases, becomes two times
  3. Ammeter readings increases becomes quadrupled
  4. Ammeter reading decreases becomes one- fourth

Answer: 1. Ammeter readings decreases, becomes half

2) What change is occurred in ammeter reading if instead of changing the length the area of cross- section is doubled?

  1. Ammeter readings decreases, becomes half
  2. Ammeter readings increases, becomes two times
  3. Ammeter readings increases becomes quadrupled
  4. Ammeter reading decreases becomes one -fourth

Answer: 2. Ammeter readings increases, becomes two times

3) If the resistors of 5 ohms and 10 ohms are connected in series in the above circuit. What is the ratio of the current passing through the two resistors?

  1. 2:1
  2. 3:1
  3. 1:2
  4. 1:1

Answer: 4. 1:1

4) If the resistors are connected in parallel

  1. Current across each resistor is same and voltage changes
  2. Current and voltage across each resistor is same
  3. Current across each resistor varies and voltage remains same
  4. Current changes, voltage changes

Answer: 3. Current across each resistor varies and voltage remains same

5) SI unit of current is denoted as

  1. A
  2. C
  3. I
  4. J

Answer: 1. A

Question 3. Sahil has two wires. Both wires are of the same material but are of different lengths and cross-sections. Sahil has to find the difference in their resistivities for various changes.

1) What is the difference in their resistivity’s for the above-mentioned condition?

  1. Data given is insufficient to identify the change
  2. Change in resistivity depends on change in length
  3. Change in resistivity depends on change in area
  4. No difference in resistivity’s as both wires are of same material

Answer: 4. No difference in resistivity’s as both wires are of same material

Explanation:

Resistivity’s depends on material of the conductor and not on its dimensions. So, both the wires will have same resistivity’s.

2) If Sahil stretches one of the wires, it becomes double the original length then is there any change in its resistances? If yes, what is the change?

  1. Area reduces to half and resistance becomes four times the original value
  2. Area becomes twice and resistance becomes four times the original value
  3. Area becomes twice and resistance becomes 2 times the original value
  4. Area decreased by half and resistance becomes 2 times the original value

Answer: 1. Area reduces to half and resistance becomes four times the original value.

3) If he stretches the other wire, it becomes triple its original length then how much is the change?

  1. Area reduces to one- third and resistance becomes nine times the original value
  2. Area becomes twice and resistance becomes four times the original value
  3. Area becomes thrice and resistance becomes 3 times the original value
  4. Area decreased by one- third and resistance becomes 9 times the original value

Answer: 4. Area decreased by one- third and resistance becomes 9 times the original value.

4) Sahil connect the two wires in series and observe change. What is the change? Why?

  1. No change
  2. Area increases
  3. Area decreased by one- third and resistance becomes 9 times the original value
  4. Resistance increases as area increases

Answer: 3. Area decreased by one- third and resistance becomes 9 times the original value.

Explanation: When wires are connected in series, there is increase in length. As resistance is directly proportional to length, resistance increases on increasing the length.

PSEB Class 10 Science Chapter 3 Solutions

5) Sahil connected the two wires in parallel and observe the change. What is the change? Give reason.

  1. Resistance increases as length decreases
  2. Resistance increases as length increases
  3. Resistance decreases as area increases
  4. Resistance increases as area increases

Answer: 3. Resistance decreases as area increases

Explanation: When wires are connected in parallel, the area increases and as we know that resistance is inversely proportional to cross-sectional area, resistance decreases.

Question 4. Sonia has a set of five substances. She has a chart stating resistivities of all the substances.

PSEB Class 10 Biology Solutions For Sonia Has A Set Of Five Substances

She has to choose an appropriate substance for performing electrical tasks. Which of the above substance according to you

1) Can be used as an insulator

  1. A
  2. B
  3. B as well as C
  4. E

Answer: 4. E

2) Can be used for domestic wiring

  1. A
  2. B
  3. A as well as C
  4. D

Answer: 3. A as well as C

3) Can be utilised in making solar cells and transistors

  1. A
  2. B
  3. C
  4. D

Answer: 4. D

4) Is an alloy

  1. A
  2. B
  3. C
  4. E

Answer: 2. B

5) Behaves as a semiconductor

  1. A
  2. D
  3. C
  4. E

Answer: 2. D

PSEB Class 10 Physics Solutions For Chapter 2 The Human Eye And The Colourful World

PSEB Class 10 Physics Solutions For Chapter 2 The Human Eye And The Colourful World

The Human Eye

PSEB Class 10 Physics Solutions For Chapter 2 The Human Eye

Points To Remember About the Human Eye

  1. The human eyeball is approximately spherical in shape. Its diameter is about 2.3 cm.
  2. Eyes are located in eye sockets in the skull.
  3. The human eye consists of the following parts:

PSEB Class 10 Physics Solutions For Chapter 2 Part Of Human Eye And Its Functions

Functioning Of The Human Eye

PSEB Class 10 Physics Solutions For Chapter 2 Functioning Of Human Eye

  1. Light reflected by an object enters the eye through the cornea, and then passes the pupil.
  2. The convex lens in the eye contracts or relaxes to focus the light onto the retina. Light is refracted as it passes through the convex lens. This causes the image that hits the retina to be reduced in size and flipped upside down.
  3. Light-sensitive cells (rod and cone cells) present in the retina gather information and send electrical signals to the brain via the optic nerve.
  4. Cells in the visual cortex of the brain flip the image from the retina, turning it the right way round.

PSEB Class 10 Physics Solutions Chapter 2

Pupil Reflex

The change in size of the pupil to control the amount of light entering the eye is called the pupil reflex.

Pupil reflex is initiated with the detection of the brightness of light entering the eye by the retina. It then passes an impulse to the brain through sensory neurones, the brain interprets the impulse.

and send back a message to the muscles of the iris through motor neurones, triggering a response, the change in size of the pupil due to contraction of radial or circular muscles. This is done to protect the eyes from damage.

Thus, in bright light, pupil size is reduced as too much light falling on the retina could damage it.

In dim light, pupil size is increased to allow as much light as possible to enter the eye.

PSEB Class 10 Physics Solutions For Chapter 2 Pupil Reflex

Important Note for Students – Do not confuse the function of circular muscles and ciliary muscles. Remember that:

  1. Circular muscles affect the size of the iris
  2. Ciliary muscles affect the shape of the lens.

Power Of Accomodation

The ability of the eye lens to adjust its focal length to some extent by changing its curvature with the help of ciliary muscles is called accommodation. The amount of focusing needed by the lens depends on the distance of the object being viewed. Light from near objects requires a more convex lens than light from distant objects.

  • For seeing Close Objects, ciliary muscles contract (Remember this using mnemonic CCC, meaning Ciliary muscles Contract for Close Vision). Due to this, the curvature of the eye lens increases, and it becomes thicker. Consequently, the focal length of the eye lens decreases. This enables us to see nearby objects clearly.
  • For seeing Distant Objects, the ciliary muscles relax. Due to this, the curvature of the eye lens decreases and it becomes thin. Consequently, the focal length of the eye lens increases. This enables us to see distant objects clearly.

PSEB Class 10 Physics Solutions For Chapter 2 Power Of Accomodation

Near And Far Point

PSEB Class 10 Physics Solutions For Chapter 2 Near And Far Point

Thus, a normal eye can see objects clearly that are between 25 cm and infinity.

Why Do We Have Two Eyes For Vision And Not Just One?

  • It gives a wider field of view. A human being has a horizontal field of view of about 150° with one eye and of about 180° with two eyes.
  • Two eyes also provide a better detection of objects.

Note:

  • Our two eyes are positioned on the front of our heads. This reduces our field of view in comparison to animals having their two eyes positioned on opposite sides of their heads.
  • Each of our eyes sees a slightly different image because our eyes are separated by a few centimetres. The two images are combined into one by our brain, using the extra information, to tell us how close or far away things are.

Refractive Defects Of Vision And Their Correction

Refractive defects of vision occur due to partial loss of the power of accommodation of the eye.

Three common refractive defects of vision are – Myopia (Near-Sightedness), Hypermetropia (Far Sightedness) and Presbyopia.

The Human Eye And The Colourful World PSEB Class 10 Notes

PSEB Class 10 Physics Solutions For Chapter 2 Refractive Defects Of Vision And Their Correction

Alternative ways to correct refractive defects of vision are:

  • Use of contact lenses
  • Eye surgery.

Note:

A person suffering from both myopia and hypermetropia requires bifocal lenses for correction. A common type of bifocal lenses consists of both concave and convex lenses, the upper portion consists of a concave lens to facilitate distant vision, and the lower part is a convex lens to facilitate near vision.

Cataract – It is an eye defect that occurs due to ageing. In this defect, the eye lens becomes milky and cloudy due to ageing, resulting in partial or complete loss of vision. This defect can be corrected only through cataract surgery.

Visual Impairment – Visual impairment means damage or malfunction of any part of the eye. It may occur due to damage to the cornea, pupil, eye lens, aqueous humour, vitreous humour, retina or optic nerve.

Eye Donation

Corneal blindness can be cured through corneal transplantation of donated eyes. Important points about eye donation are:

  1. Anyone can donate eyes, independent of age or sex.
  2. People using spectacles, or those who have undergone cataract surgery, can also donate eyes.
  3. People having diabetes, hypertension, asthma and those without communicable diseases can also donate eyes.
  4. Eyes must be removed within 4-6 hours after death. This is done by trained persons from eye bank at the home of the deceased or at a hospital.
  5. Eye removal takes only 10-15 minutes and does not lead to any disfigurement.
  6. The identities of both the donor and the recipient remain confidential.
  7. One pair of eyes gives vision to up to FOUR CORNEAL BLIND PEOPLE. This is because one pair of eyes has various components, such as retina, cornea, and muscles, that can be transplanted to the corneal blind people to help in retaining their vision.
  8. Persons having AIDS, Hepatitis B or C, rabies, acute leukaemia, tetanus, cholera, meningitis or encephalitis cannot donate blood.

Refraction Of Light Through A Prism

PSEB Class 10 Physics Solutions For Chapter 2 Refraction Of Light Through A Prism

  1. When light passes from air to the glass of the prism, due to the differences in the refractive index between the air and the glass, light bends once entering the prism.
  2. Since the sides of the prism are angled, the light bends again when it exits the prism.
  3. Different wavelengths of light refract differently.
  4. Longer wavelengths refract less while shorter wavelengths refract more. Therefore, when a beam of white light is passed through a prism, different wavelengths of light get refracted in different angularly in order, resulting in the splitting of white light into a spectrum of seven colours (VIBGYOR starting from bottom) as shown:

PSEB Class 10 Physics Solutions For Chapter 2 Splitting Of White Light Into A Spectrum

Spectrum – It is defined as an orderly continuum of colours (VIBGYOR) formed due to the dispersion of white light through a prism.

The phenomenon due to which this splitting of white light into a spectrum of seven colours (VIBGYOR) occurs on passing through a glass prism is called DISPERSION.

Rainbow is an example of dispersion of sunlight by tiny water droplets (which act as small prisms) present in the atmosphere.

More About Rainbow

Rainbow is always formed in a direction opposite to that of the Sun.

A rainbow is formed due to three phenomenon – Refraction, Dispersion and Total Internal Reflection of light as shown in figure:

PSEB Class 10 Physics Solutions For Chapter 2 Rainbow

Total Internal Reflection – It is the phenomenon which occurs when the light rays travel from an optically denser medium to an optically rarer medium.

Scattering Of Light – The phenomenon of the spreading of light in different directions by colloidal particles is called scattering of light.

∴ \(\text { Scattering } \propto \frac{1}{\text { wavelength }}\)

Some phenomena that occur due to scattering of light are – the blue colour of the sky, the colour of water in the deep sea, the reddening of the sun at sunrise and the sunset.

Atmospheric Refraction

It is defined as the refraction of light caused by the bending of light rays through different angles on passing through different layers of the Earth’s atmosphere. Some effects of atmospheric refraction are:

1. Apparent flickering of objects placed behind hot air or fire- Air above a hot surface becomes hot and rises up. Its space is occupied by cool air. Since the refractive index of hot and cool air is different, atmospheric refraction occurs, and the object appears to flicker.

2. Stars near the horizon appear slightly higher than their actual position. The density of air decreases with height, i.e., at higher altitudes air particles can spread more, so air is optically rarer at higher altitudes.

PSEB Class 10 Physics Important Questions Chapter 2

Since light from a star coming from the horizon has to travel from an optically rarer to an optically denser medium, it will bend towards normal. As a result, stars appear higher.

Note: Planets do not twinkle because they are much closer to the Earth. Therefore, they nullify the twinkling effect.

PSEB Class 10 Physics Solutions For Chapter 2 Stars Near The Horizon Appear Slightly Higher Than Their Actual Position

3. Apparent flattening of the Sun’s disc at sunrise and sunset.

4. Advanced Sunrise and Delayed Sunset

PSEB Class 10 Physics Solutions For Chapter 2 Advanced Sunrise And Delayed Sunset

The Sun is visible to us about 2 minutes before the actual sunrise, and about 2 minutes after the actual sunset because of atmospheric refraction.

During Sunrise, the sun is rising above the horizon. The rays from the sun get refracted as they travel from an optically denser medium to an optically rarer medium.

This results in the bending of rays of light towards the normal. Since the human eye sees the sun rays as a straight line, it appears as the sun has risen, though it has actually not yet risen.

PSEB Class 10 Physics Solutions For Chapter 2 The Ray From Sun Get refracted To They Travel From Optically Denser MediumTo Otically Rarer Medium

Due to the same reason, the Sun is visible to us about 2 minutes after the actual sunset.

Difference Between Dispersion, Scattering And Refraction

PSEB Class 10 Physics Solutions For Chapter 2 Difference Between Dispersion, Scattering And Refraction

Tyndall Effect

It is the phenomenon of scattering of a beam of light by colloidal particles suspended in Earth’s atmosphere (For Example., smoke, tiny water droplets, dust particles and molecules of air). When a beam of light strikes such fine particles, the path of the beam becomes visible.

Some examples or applications of Tyndall effect in daily life are:

  • Scattering of sunlight by tiny water droplets in the mist on passing through a canopy of a dense forest.
  • Path of light becomes visible when light enters a dark and dusty room through a slit or ventilator.

The colour of the scattered light depends on the size of the colloidal particles.

1. Very fine particles scatter mainly blue light, i.e., shorter wavelength. Since the upper layers of the atmosphere contain very fine particles of water vapours and gases, these particles are effective in scattering of light of shorter wavelengths, i.e, blue. Due to this reason, if we look at the sky from the Earth, it appears blue to us.

However, skv appears dark to people flying at high altitudes and astronauts due to the absence of particles at such high altitudes, due to which scattering of light does not occur.

2. Particles of medium size mainly scatter red light, i.e., longer wavelength. Therefore, red is the least scattered light.

Since it is not scattered by dust particles and fog, the same colour can be seen up to a long distance. For this reason, danger signs are made in red colour.

3. Very large particles scatter all the wavelengths of light, due to which the scattered light appears white in colour. Clouds appear white because clouds are made up of water vapours which condense to form large water droplets.

Due to the large size of the water droplets, all wavelengths of light are scattered, and the clouds appear white.

Chapter 2 The Human Eye And The Colourful World Reason- Assertion Questions And Answers

For questions given below, two statements are given—one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (1), (2), (3) and (4) as given below.

  1. Both A and R are true, and R is the correct explanation of the assertion.
  2. Both A and R are true, but R is not the correct explanation of the assertion.
  3. A is true, but R is false.
  4. A is false, but R is true

Question 1. Assertion (A): Sunlight reaches us without dispersion in the form of white light and not as its components.

Reason (R): Dispersion takes place due to variation of refractive index for different wavelengths but in vacuu,m the speed of light is independent of wavelength and hence vacuum is non-dispersive.

Answer: 1. Both A and R are true, and R is the correct explanation of the assertion.

Question 2. Assertion (A): Stars appear to be twinkling and planets do not twinkle.

Reason (R): The blue colour scatters much more than the red colour by air particles.

Answer: 2. Both A and R are true, but R is not the correct explanation of the assertion.

Question 3. Assertion (A): A stick partly immersed in water appears to be bent.

Reason (R): Refraction of light when it passes from water into air.

Answer: 1. Both A and R are true, and R is the correct explanation of the assertion.

Question 4. Assertion (A): In a rainbow, light at the inner surface of the water drop gets internally reflected.

Reason (R): The angle between the refracted ray and the normal to the drop surface is greater than the critical angle.

Answer: 2. Both A and R are true, but R is not the correct explanation of the assertion.

PSEB Class 10 Science Chapter 2 Solutions

Question 5. Assertion (A): The Refractive index of glass with respect to air is different for red light and violet light.

Reason: The Refractive index of a pair of media depends on the wavelength of light used.

Answer: 1. Both A and R are true, and R is the correct explanation of the assertion.

Question 6. Assertion (A): When objects are observed through hot air, they appear to be moving slightly.

Reason (R): The hotter air is optically denser and the colder air is optically rarer.

Answer: 3. A is true, but R is false.

Question 7. Assertion (A): When white light passes through a glass prism, red colour is deviated the least.

Reason (R): Red colour has the minimum speed in the glass prism.

Answer: 3. A is true, but R is false.

Question 8. Assertion (A): The Sun appears white when it is overhead in the sky.

Reason (R): Light coming from the Sun has to travel a relatively shorter distance through the atmosphere to reach us.

Answer: 1. Both A and R are true, and R is the correct explanation of the assertion.

Question 9. Assertion (A): The blue colour of the sky appears due to the scattering of blue colour.

Reason (R): Blue colour has the shortest wavelength in the visible spectrum.

Answer: 1. Both A and R are true, and R is the correct explanation of the assertion.

Chapter 2 The Human Eye And The Colourful World Case Or Source-Based Questions

Question 1. Hypermetropia is a common eye condition where nearby objects appear blurred, but your vision is clearer when looking at things further away. If you feel your eyes are often tired and you have problems focusing on objects close to your eyes, you may have hypermetropia. A person is suffering from hypermetropia (long-sightedness). The near point of the person is 1.5 m. Assume that the near point of the normal eye is 25 cm.

1) The type of lens to be used in his spectacles is

  1. Concave
  2. Convex
  3. Plano concave
  4. Cylindrical

Answer: 2. Convex

2) The focal length of the lens he should use is

  1. 20 cm
  2. 30 cm
  3. 40 cm
  4. 50 cm

Answer: 2. 30 cm

3) The power of the lens is

  1. 2.2 D ;
  2. 1.1 D ;
  3. 4.4 D ;
  4. 3.3 D

Answer: 4. 3.3 D

4) What is another name for Hypermetropia?

  1. Short-sightedness
  2. Long-sightedness
  3. Night blindness
  4. Presbyopia

Answer: 2. Long-sightedness

5) A The power of a lens is +2.5 D. What kind of lens is it, and what is its focal length?

  1. Concave lens, 100 cm
  2. Concave lens, 40 cm
  3. Convex lens, 40 cm
  4. Convex lens, 50 cm

Answer: 3. Convex lens, 40 cm

Question 2. The spreading of light by the air molecules is called scattering of light. The light with the shortest wavelength scatters more. The sun appears red at sunrise and sunset; the appearance of blue sky is due to the scattering of light. The colour of the scattered light depends on the size of the particles. The smaller the molecules in the atmosphere, scatter smaller the wavelengths of light. The amount of scattering of light depends on the wavelength of light. When light from the sun enters the Earth’s atmosphere, it gets scattered by the dust particles and air molecules present in the atmosphere. The path of sunlight entering the dark room through a fine hole is seen because of the scattering of the sunlight by the dust particles present in its path inside the room.

1) To an astronaut in a spaceship, the colour of Earth appears

  1. Red
  2. Blue
  3. White
  4. Black

Answer: 2. Blue

2) At the time of sunrise and sunset, the light from the sun has to travel.

  1. Longest distance of the atmosphere.
  2. Shortest distance to the atmosphere
  3. Both (1) and (2);
  4. Can’t say

Answer: 1. Longest distance of the atmosphere

3) The colour of the sky appears blue, which is due to the

  1. Refraction of light through the atmosphere
  2. Dispersion of light by air molecules
  3. Scattering of light by air molecules
  4. All of these.

Answer: 3. Scattering of light by air molecules

4) At the time of sunrise and sunset

  1. Blue colour is scattered, and red colour reaches our eyes
  2. Red colour is scattered, and blue colour reaches our eyes
  3. Green and blue are scattered, and orange reaches our eyes
  4. None of these

Answer: 1. Blue colour is scattered and red colour reaches our eye

5) The danger signs are made red in colour, because

  1. The red light can be seen from the farthest distance
  2. The scattering of red light is the least
  3. Both (1) and (2)
  4. None of these

Answer: 3. Both (1) and (2)

Question 3. Atmospheric refraction is the phenomenon of the bending of light as it passes through Earth’s atmosphere. As we move above the surface of Earth, the density of air goes on decreasing. Local conditions like temperature, etc., also affect the optical density of Earth’s atmosphere. On account of atmospheric refraction, stars appear higher than they actually are; advanced sunrise; delayed sunset, oval appearance of the sun at sunrise and sunset; stars twinkle, planets do not.

PSEB Class 10 Science Chapter 2 Solutions

1) Due to atmospheric refraction, the apparent length of the day

  1. Increases
  2. Decreases
  3. Remains the same
  4. All of these

Answer: 1. Increases

2) The apparent position of the star appears raised due to

  1. Atmospheric refraction
  2. Scattering of light
  3. Both (1) and (2)
  4. None of these

Answer: 1. Atmospheric refraction

3) The sun appears oval-shaped or flattened due to

  1. Dispersion
  2. Scattering
  3. Atmospheric refraction
  4. Cannot say

Answer: 3. Atmospheric refraction

4) The twinkling of stars and the non-twinkling of planets is accounted for by

  1. Scattering of tight
  2. Dispersion of light
  3. Atmospheric refraction
  4. None of these

Answer: 3. Atmospheric refraction

5) In the absence of an atmosphere, the colour of the sky appears

  1. Blue
  2. Black
  3. Red
  4. Yellow

Answer: 4. Yellow

Question 4. When white light is incident on one refracting surface of the prism, the light splits up into constituent colours violet, indigo, blue, green, yellow, orange and red. The process of splitting white light into its seven constituent colours is called dispersion. When the dispersed white light is made to fall on a screen, we get a band of seven colours is called the spectrum of white light. Red colour bends the least on passing through the prism, and violet colour bends through the maximum angle on passing through the prism.

image

1) The splitting of white light can be done by

  1. Fens
  2. Prism
  3. Mirror
  4. None of these

Answer: 2. Prism

2) Which property of light is used by a prism to form a spectrum?

  1. Reflection
  2. Refraction
  3. Dispersion
  4. Scattering

Answer: 2. Refraction

3) When a red light passes through a prism, it

  1. Will not split
  2. Will split into seven colours
  3. Will split into white colour
  4. Will split into many different colours

Answer: 1. Will not split

4) The spectrum produced by the white light by a prism is called

  1. Pure spectrum
  2. Impure spectrum
  3. Monochromatic spectrum
  4. None of these

Answer: 2. Impure spectrum

Question 5. Millions of people in the developing countries of the world are suffering from corneal blindness, These persons can be cured by replacing the defective cornea with the cornea of a donated eye. A charitable society in your city has organised a campaign in your neighbourhood in order to create awareness about this fact. If you are asked to participate in this mission, how would you contribute to this noble cause?

1) State the objective of organising such campaigns.

Answer: The objective of organising such a campaign is to make people aware and realize their duties towards society.

2) List two arguments that you would give to motivate people to donate their eyes after death.

Answer:

  1. By donating our eyes after we die, we can light the life of a blind person.
  2. One pair of eyes gives vision to two corneal blind people.

3) List two values which are developed in the persons who actively participate and contribute in such programmes.

Answer:

  1. It shows the concern for others,
  2. It also shows responsible behaviour towards society.

Punjab State Board Class 7 Maths Solutions For Chapter 2 Fractions and Decimals

Punjab State Board Class 7 Maths Solutions For Chapter 2 Fractions and Decimals

1. In a fraction,……….represents multiplication.

  1. sum
  2. minus
  3. of
  4. division

Answer: 3

2. Product of \(\frac{8}{3} \) and \(\frac{2}{5}\) is…………….

  1. \(\frac{8 \times 2}{3 \times 5}\)
  2. \(\frac{8 \times 2}{3+5}\)
  3. \(\frac{8+2}{3 \times 5}\)
  4. \(\frac{8 \times 5}{3 \times 2}\)

Answer: 1

3. If \(\frac{7}{9}\) of a number is 21, then the number is………….

  1. 63
  2. 27
  3. 9
  4. 3

Answer: 2

4. If o<a<b<c<d, and a, b, c, d are integers, then which of the following is smallest?

  1. \(\frac{a+d}{b+c}\)
  2. \(\frac{b+d}{a+c}\)
  3. \(\frac{c+d}{a+b}\)
  4. \(\frac{a+b}{c+d}\)

Answer: 4

5. Bannu is distributing 50 chocolates to her friends andif each of them got \(\frac{2}{3}\) part, then
the number of her friends……….

  1. 25
  2. 50
  3. 75
  4. 100

Answer: 3

6. 0.2 x 0.3 =

  1. 0.23
  2. 0.06
  3. 0.6
  4. 0.5

Answer: 2

Punjab State Board Class 7 Maths Chapter 2 Fractions and Decimals Solutions

7.\(\frac{1}{3}\) of one third of circle 7 isis…….

  1. 1 third of circle 1
  2.  1 third of circle 2
  3. 1 third of circle 3
  4. 1 third of circle 4

Answer: 2

8. A ribbon of length \( 6 \frac{2}{3} \)m is cutinto small pieces each of length \( \frac{2}{3}\) m.Then the number of pieces will be …………

  1. 6
  2. 10
  3. 12
  4. 20

Answer: 2

9. The ascending order of \( \frac{7}{6}, \frac{5}{12}, \frac{1}{18}, \frac{11}{24}\) is………………

  1. \( \frac{11}{24}, \frac{7}{6}, \frac{5}{12}, \frac{1}{18} \)
  2. \( \frac{1}{18}, \frac{5}{12}, \frac{7}{6}, \frac{11}{24} \)
  3. \( \frac{11}{24}, \frac{1}{18}, \frac{5}{12}, \frac{7}{6} \)
  4. \( \frac{1}{18}, \frac{5}{12}, \frac{11}{24}, \frac{7}{6} \)

Answer: 4

10. One product of biscuits requires \( 2 \frac{1}{2} \)cups of flour and \( 1 \frac{1}{3}\) cups of sugar. The estimated total quantity of both ingredients used in 20 such biscuits will be ……….

  1. less than 60 cups
  2. between 50 and 60 cups
  3. between 70 and 80 cups
  4. above 80 cups

Answer: 2

11.the circle represents 11 represents…………..

  1. \( 2 \frac{1}{5} \)
  2. \( 2 \frac{4}{5} \)
  3. \( \frac{14}{5} \)
  4. Both B and C

Answer: 4

12. John ate part of a cake and his sister Rosy ate part of the remaining then the part of the cake left is ……………..

  1. \( \frac{1}{5} \)
  2. \( \frac{2}{5} \)
  3. \( \frac{3}{5} \)
  4. \( \frac{4}{5} \)

Answer: 2

13. The simplified form of \( 3 \frac{1}{5} \times \frac{3}{4}\) =

  1. \( \frac{12}{5} \)
  2. \( \frac{13}{5} \)
  3. \( \frac{3}{20} \)
  4. \( \frac{4}{9} \)

Answer: 1

14. 5 \( \frac{5}{2}\) = 2, here the operator © = …….

  1. x
  2. +

Answer: 1

15. Match the following:

  1. \( 2 \times \frac{1}{4} \)                  i)match the following 1   
  2. \( 2 \times \frac{1}{3} \)                 (ii)match the following 2
  3. \( \frac{1}{4} \times 3 \)                  (iii) match the following 3
  4. \( 4 \times \frac{1}{4} \)                  (iv) match the following 4
  1. a-ii, b-iii, c-i, d-iv
  2. a-iii, b-iv, c-ii, d-i
  3. a-iii, b-i, c-iv, d-ii
  4. a-i, b-ii, c-iii, d-iv

Answer: 2

Punjab State Board Class 7 Maths Chapter 2 Fractions and Decimals Solutions

16. The number of \( \frac{3}{5} \) pieces that can be cut from a cake of 9 kg weight……….

  1. 15
  2. 12
  3. 9
  4. 13

Answer: 1

17. Keerthi purchased 2.5 kg of apples at the rate of 78.75 Per Kg. The amount she pays in nearest rupees is……..

  1. 200
  2. 270
  3. 275
  4. 280

Answer: 1

18. Observe the figure. observe the figure ,the value at c isThe value at C is ……….

  1. 0.002
  2. \( \frac{2}{1000} \)
  3. Both A and B
  4. None

Answer: 3

19. (0.5 x 0.5) + (0.3 x 0.3) =…….

  1. 0.55
  2. 0.88
  3. 0.53
  4. 0.34

Answer: 4

20. Karthik can walk \( 1 \frac{1}{3} \) km in one hour. The time taken by him to walk to his school which is 9 km from his home is ………….hr

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

Answer: 3

21.\( \frac{4}{9}\) x □ = \( \frac{20}{117} \) , □ =

  1. \( \frac{5}{13} \)
  2. \( \frac{4}{9} \)
  3. \( \frac{9}{25} \)
  4. \( \frac{7}{13} \)

Answer: 1

22. \( \frac{2}{5} \) of the triangles in the box  2 5 th of the triangles in a box can be represented as can be represented as

  1. 2 5 th of the triangles in a box can be represented as 1
  2. 2 5 th of the triangles in a box can be represented as 2
  3. 2 5 th of the triangles in a box can be represented as 3
  4. 2 5 th of the triangles in a box can be represented as 4

Answer: 3

23. If \( \frac{5}{7} \) of a number is 40/then 0.25 times of that number is ……….

  1. 14
  2. 20
  3. 30
  4. 40

Answer: 1

24. Which letter comes \( \frac{2}{5} \) th of the way among A andJ ?

  1. A
  2. B
  3. C
  4. D

Answer: 4

PSEB Class 7 Maths Fractions and Decimals Solutions

25. Lasya used to travel 20 km or\( \frac{1}{3} \) rd of the total distance from Home to park as in figure, then the distance between school to park is…………km

The ditance school to park is

  1. 10
  2. 20
  3. 30
  4. 40

Answer: 4

26. What is the sum of \( \frac{3}{4}, \frac{7}{6} \) and \( 1 \frac{3}{5} \) ?

  1. \( 3 \frac{31}{60} \)
  2. \( 30 \frac{3}{60} \)
  3. \( 6 \frac{30}{3} \)
  4. \( 15 \frac{4}{60} \)

Answer: 1

27. What is the difference of \( \frac{13}{15} \text { and } \frac{11}{35} \) ?

  1. \( 5 \frac{8}{105} \)
  2. \( 19 \frac{5}{24} \)
  3. \( 3 \frac{19}{24} \)
  4. \( 4 \frac{9}{24} \)

Answer: 2

28. What is the product of \( 1 \frac{1}{3}, 3 \frac{1}{4} \text { and } \frac{7}{8} \) ?

  1. \( 2 \frac{19}{24} \)
  2. \( 19 \frac{5}{24} \)
  3. \( 3 \frac{19}{24} \)
  4. \( 4 \frac{9}{24} \)

Answer: 3

29. What should be added to 3 ti get \( 3 \frac{1}{5} \)

  1. \( \frac{1}{5} \)
  2. \( \frac{2}{5} \)
  3. \( 1 \frac{1}{5} \)
  4. \( 2 \frac{1}{5} \)

Answer: 1

30. The sum of two rational ntunbers is – 8. If one of the numbers is \( \frac{-18}{5} \) ,what is the other?

  1. \( \frac{-22}{5} \)
  2. \( \frac{22}{5} \)
  3. \( \frac{12}{5} \)
  4. \( \frac{-12}{5} \)

Answer: 1

31. What should be added to \( -\frac{2}{5} \) to ge \( \frac{3}{7} \) ?

  1. \( \frac{-29}{35} \)
  2. \( \frac{13}{35} \)
  3. \( \frac{11}{35} \)
  4. \( \frac{29}{35} \)

Answer: 4

32. What is the value of \( \left(2-\frac{1}{2}-\frac{3}{4}\right) \) ?

  1. \( \frac{3}{4} \)
  2. \( \frac{1}{2} \)
  3. \( \frac{-3}{4} \)
  4. \( \frac{1}{4} \)

Answer: 1

33. What is the value of x if \( \frac{x}{3}=\frac{18}{45} \) ?

  1. \( \frac{3}{5} \)
  2. \( \frac{4}{5} \)
  3. \( \frac{6}{5} \)
  4. \( \frac{7}{5} \)

Answer: 3

PSEB Class 7 Maths Fractions and Decimals Solutions

34. What is the value of \( \frac{-2}{7} \times 35 \) ?

  1. 10
  2. -10
  3. 14
  4. -14

Answer: 2

35. Choose the correct matching.

  1. 1. \( 2 \text { of } \frac{1}{x} \) ( ) a) \( \frac{2}{x} \)
  2. 2. \( 2 \div \frac{1}{x} \) ( ) b) 20
  3. 3. 0.2 x 100 ( ) c) 2x

1-c, 2-b, 3-a

1-b, 2-c, 3-a

1-a, 2-b, 3-c

1-a, 2-c, 3-b

Answer: 4

36. The value of 0.1 x 51.7 is…….

  1. 51.7
  2. 5.17
  3. 0.517
  4. 517

Answer: 2

37. Evaluate 2 x 5 x 1.2

  1. 120
  2. 1.2
  3. 12
  4. 121

Answer: 3

38.\( 4-\frac{1}{3} \) of 6 is ………

  1. 3
  2. 4
  3. 1
  4. 2

Answer: 4

39. 235.4 100 =……..

  1. 2354
  2. 23.54
  3. 235.4
  4. 2.354

Answer: 4

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

40.\( \frac{3}{5}\) of the fruit was eaten by Goutham, the rest part of the fruit is

  1. \( \frac{1}{5} \)
  2. \( \frac{4}{5} \)
  3. \( \frac{2}{5} \)
  4. \( \frac{3}{5} \)

Answer: 3

41. Choose the correct matching.

1)  Choose the correct matching 1              ( )                  a) 0

2)  Choose the correct matching 2   (  )                b) Proper fraction

3) Choose the correct matching 3        (  )                 c) Improper fraction

  1. 1-b, 2-c, 3-a
  2. 2-c, 2-a, 3-b
  3. 3-b, 2-a, 3-c
  4. None

Answer: 1

42. Choose the correct matching.

  1. \( \frac{2}{5} \times \frac{10}{7} \) ( ) a) \( \frac{2}{17}\)
  2. \( \frac{-2}{7} \div-\frac{17}{7} \) ( ) b) \( \frac{7}{3}\)
  3. \( \frac{4}{3}-\frac{1}{7} \) ( ) c) \( \frac{4}{7} \)
  4. \( 4 \frac{2}{3}-2 \frac{1}{3} \) ( ) d) \( \frac{25}{21} \)

i-b, ii-c, iii-a, iv-d

i-d, ii-c, iii-b, iv-a

i-c, ii-b, iii-a, iv-d

i-c, ii-a,iii-d, iv-b

Answer: 4

43. Choose the correct matching

  1. 1 cm ( ) a) 1000 g
  2. 1kg ( ) b) 100 cm
  3. 1 m ( ) c) 10 mm

1-a, 2-b, 3-c
1-b, 2-c, 3-a
1-c, 2-a, 3-b
1-b, 2-a, 3-c

Answer: 3

44. \( \frac{4}{5} \) is a …… fraction.

  1. proper
  2. improper
  3. mixed
  4. integer

Answer: 1

45. \( \frac{4}{3} \) is a …… fraction.

  1. proper
  2. improper
  3. mixed
  4. integer

Answer: 2

46. \( 2 \frac{3}{4} \) is a …… fraction.

  1. proper
  2. improper
  3. mixed
  4. integer

Answer: 3

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

47. Every natural number can be written as………. fraction.

  1. a proper
  2. an improper
  3. a mixed
  4. A and B

Answer: 2

48. \( \frac{5}{5} \) is ………. fraction.

  1. a proper
  2. an improper
  3. a mixed
  4. all of them

Answer: 2

49. \( \frac{a}{b} \) is an improper fraction means ………..

  1. a>b
  2. a<b
  3. a=b
  4. a>b

Answer: 4

50. Each proper fraction is ………….

  1. less than 1
  2. greater than 1
  3. equal to 1
  4. less than 0

Answer: 1

51. Which of the following is incorrect?

  1. Every proper fraction is less than 1
  2. Every mixed fraction has integral part and a proper fraction
  3. Fractions cannot be compared
  4. We can change an improper fraction to a mixed fraction

Answer: 3

52. In the following, which fraction is not equivalent to \( \frac{3}{7} \) ?

  1. \( \frac{5}{9} \)
  2. \( \frac{9}{21} \)
  3. \( \frac{12}{28} \)
  4. \( \frac{150}{350} \)

Answer: 1

53. \( 3 \frac{1}{2}+5 \frac{3}{4}= \)

  1. \( 8 \frac{1}{4} \)
  2. \( 9 \frac{3}{4} \)
  3. \( 8 \frac{3}{4} \)
  4. \( 9 \frac{1}{4} \)

Answer: 4

Class 7 Maths Chapter 2 Fractions and Decimals Questions and Answers PSEB

54. The shaded areain the figure represents \( \frac{5}{7} \) Then the unshaded area represents………..

Then the unshaded area represents

  1. \( \frac{3}{7} \)
  2. \( \frac{7}{3} \)
  3. \( \frac{2}{7} \)
  4. \( \frac{7}{4} \)

Answer:  3

55. \( \frac{125}{2000} \) in its simplest form is

  1. \( \frac{1}{8} \)
  2. \( \frac{1}{4} \)
  3. \( \frac{2}{12} \)
  4. \( \frac{1}{16} \)

Answer: 4

56. In a cake Shyam ate \( \frac{1}{7} \) part and he distributed the remaining equally to 5 members. Then each member gets ……..part of the cake.

  1. \( \frac{1}{7} \)
  2. \( \frac{3}{7} \)
  3. \( \frac{6}{35} \)
  4. \( \frac{1}{35} \)

Answer: 3

57. Which of the following is true with respect to \( \frac{9}{16} \text { and } \frac{13}{5} \) ?

  1. \( \frac{9}{16}=\frac{13}{5} \)
  2. \( \frac{9}{16}<\frac{13}{5} \)
  3. \( \frac{13}{5}<\frac{9}{16} \)
  4. \( \frac{9}{16}>\frac{13}{5} \)

Answer: 2

58. What is the product of a fractional number and its reciprocal?

Same number

  1. 0
  2. 1
  3. Undefined

Answer: 3

59. If \( 4 \frac{7}{11}=\frac{x}{11} \), what is the Value of x ?

  1. 44
  2. 51
  3. 35
  4. 25

Answer: 2

60. How many one – fourths need to be added to \( 3 \frac{1}{4} \) to make 6 ?

  1. 4
  2. 6
  3. 8
  4. 11

Answer: 4

61. Between which two numbers does \( \frac{11}{4} \) lie ?

  1. 3 and 4
  2. 4 and 5
  3. 2 and 3
  4. 5 and 6

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

62. Which of the following statements is true?

  1. Difference of two like fractions \( = \frac{\text { difference of numerators }}{\text { common denominator }} \)
  2. Fractions with the same numerator are called like fractions
  3. A fraction with the numerator greater than or equal to the denominator is called a proper fraction.
  4. Fractions with the same denominator are called unlike fractions.

Answer: 1

63. What result will be obtained when the sum of \( \frac{65}{12} \text { and } \frac{8}{3} \) is divided by their difference?

  1. \( \frac{67}{33} \)
  2. \( \frac{57}{7} \)
  3. \( \frac{97}{33} \)
  4. \( \frac{1}{9} \)

Answer: 3

64. Arrange the followingin ascending order \( \frac{2}{9}, \frac{2}{3}, \frac{8}{21} \)

  1. \( \frac{2}{9}, \frac{8}{21}, \frac{2}{3} \)
  2. \( \frac{2}{3}, \frac{2}{9}, \frac{8}{21} \)
  3. \( \frac{2}{9}, \frac{2}{3}, \frac{8}{21} \)
  4. \( \frac{8}{21}, \frac{2}{9}, \frac{2}{3} .\)

Answer: 1

65. Among 2, 1.37, 1.07,-1.49 which is greater ?

  1. 1.37
  2. 1.07
  3. -1.49
  4. 2

Answer: 4

66. Which of the following statements is not true ?

  1. The rational number system is denoted by Q.
  2. There are infinite rational numbers between any two rational numbers.
  3. The product of two proper fractions is improper.
  4. While dividing whole number with a fraction we multiply the whole number with the reciprocal of that fraction:

Answer: 3

67. Arrange the decimals in ascending order: 2.05, 4, 0.75, -4.56

  1. 2.05,4,-4.56,0.75
  2. 4,-4.56,0.75,2.05
  3. -4.56, 0.75, 2.05, 4
  4. 0.75, 2.05,4,-4.56

Answer: 3

68. If \( \frac{a}{b} \) is a proper fraction, then \( \frac{b}{a} \) is an ……… fraction

  1. proper
  2. improper
  3. mixed
  4. Both 1 and 2

Answer: 2

69. If \( \frac{a}{b} \) and \( \frac{b}{a} \) are both improper fractions then we must have

  1. a < b
  2. a > b
  3. a = b
  4. a = 0

Answer: 3

70. a,x are positive integers then \( \frac{x}{a}, \frac{x}{2 a}, \frac{x}{3 a}\) are in…….

  1. Ascending order
  2. Descending order
  3. Not comparable
  4. All are equal

Answer: 2

71.\( 3 \times \frac{2}{5} \) =

  1. \( 3+\frac{2}{5} \)
  2. \( \frac{3}{5}+\frac{3}{5} \)
  3. \( \frac{2}{5}+\frac{2}{5}+\frac{2}{5} \)
  4. \( \frac{2}{5} \times \frac{2}{5} \times \frac{2}{5} \)

Answer: 3

PSEB Class 7 Maths Chapter 2 Solutions

72. Which of the followingis incorrect ?

  1. \( \frac{1}{2} \text { of } \frac{3}{4} \text { and } \frac{3}{4} \text { of } \frac{1}{2} \text { are equal }\)
  2. \( \frac{a}{b} \neq \frac{b}{a} \text { in general }\)
  3. \( \frac{3}{5}=\frac{1}{5}+\frac{1}{5}+\frac{1}{5}\)
  4. \( \text { To represent } \frac{5}{3} \text { pictorially, we need } 3 \text { units }\)

Answer: 4

73. Indian cricket team won 4 more matches than it lost with Newzealand. If it won \( \frac{3}{5} \) of its matches, how many matches did India play?

  1. 15
  2. 20
  3. 25
  4. 30

Answer: 2

74. Find the additive inverse of – \( \left(\frac{2}{7}+\frac{3}{5}\right) \)

  1. \( \frac{-31}{35} \)
  2. \( \frac{31}{35} \)
  3. \( \frac{49}{45} \)
  4. \( \frac{1}{35} \)

Answer: 2

75. Which of the following is incorrect?

  1. \( \frac{1}{2}>\frac{1}{3}>\frac{1}{4} \)
  2. \( \frac{2}{5}<\frac{4}{5}<1 \)
  3. \( \frac{2}{3}>\frac{3}{4}>\frac{7}{8} \)
  4. \( \frac{1}{6}<\frac{2}{5}<\frac{3}{4} \)

Answer: 3

76. How many pieces each of length \( 3 \frac{3}{4} \) m can be cut from a rope of length 60 m ?

  1. 14
  2. 15
  3. 16
  4. 17

Answer: 3

77. The equivalent fraction of \( \frac{3}{4}\) with numerator 24 is

  1. \( \frac{24}{6} \)
  2. \( \frac{24}{32} \)
  3. \( \frac{24}{4} \)
  4. \( \frac{24}{26} \)

Answer: 2

78. Ramu read \( \frac{3}{5} \) of a book. He finds that there are still 80 pages left to be read. What is the total number of pagesin the book?

  1. 100
  2. 200
  3. 300
  4. 400

Answer: 2

79. Vanaja eats one full bar of chacolate. Then she divides another one into 5 equal part and eats 3 of them. What is the total number of chacolates that she has eaten ?

  1. \( \frac{3}{5} \)
  2. \( \frac{4}{5} \)
  3. \( \frac{6}{5} \)
  4. \( \frac{8}{5} \)

Answer: 4

80. The product of two numbers is \( 15 \frac{5}{6} \) .If one of the numbers is \( 6 \frac{2}{3} \), what is the other number?

  1. \( 2 \frac{3}{8} \)
  2. \( 3 \frac{3}{8} \)
  3. \( 1 \frac{3}{8} \)
  4. \( 5 \frac{3}{8} \)

Answer: 1

PSEB Class 7 Maths Chapter 2 Solutions

81. A badminton player won 7 games and lost 3. What fraction of the games did he lost?

  1. \( \frac{7}{3} \)
  2. \( \frac{3}{7} \)
  3. \( \frac{3}{10} \)
  4. \( \frac{7}{10} \)

Answer: 3

82. Vasu had \( \frac{1}{3} \) of a cake. He ate \( \frac{2}{3} \) of it. What part of the cake did he eat?

  1. 2
  2. \( \frac{4}{9} \)
  3. \( \frac{1}{3} \)
  4. \( \frac{2}{9} \)

Answer: 4

83. A bus is moving at an average speed of \( 56 \frac{2}{3} \) km/hr.How much distance canit cover in \( 3 \frac{2}{5} \) hour?

  1. \( \frac{568}{30} \mathrm{~km} \)
  2. \( \frac{468}{30} \mathrm{~km} \)
  3. \( \frac{578}{3} \mathrm{~km} \)
  4. None of these

Answer: 3

84. The cost of \( 4 \frac{1}{2} \) meters of cloth is \( 98 \frac{3}{4} \).What is the cost of cloth per meter ?

  1. \( \frac{395}{18} \)
  2. \( \frac{495}{18} \)
  3. \( \frac{295}{18} \)
  4. \( \frac{195}{18} \)

Answer: 1

85. A bus can cover 21.25 km in half an hour.How much distance can it cover in 12 hours ?

  1. 250 km
  2. 240 km
  3. 510 km
  4. 270km

Answer: 3

86. Madhavi purchased a notebook for 27.75, a pencil for 4.25 and a pen for 26.45. She gave a 100 note to the shopkeeper. What amount did she get back?

  1. 42.55
  2. 43.55
  3. 41.55
  4. 44.55

Answer: 3

87. 1 meter of cloth costs 52.25. What is the cost of 9.5 meters of this cloth?

  1. 496.375
  2. 396.375
  3. 496.735
  4. 396.573

Answer: 1

88. Subhash bought 17.5 litres ofmustard oil for ?1550.50. What is the cost per one litre?

  1. 87.6
  2. 85.6
  3. 88.6
  4. 89.6

Answer: 4

89. In a class of 45 students of the total number of students are girls.How many students of the class are boys ?

  1. 45
  2. 36
  3. 18
  4. 27

Answer: 3

90. A car runs 12 km using 1 litre of petrol. How much distance will it cover using 2.5 litres of petrol ?

  1. 30km
  2. 32km
  3. 36 km
  4. 40 km

Answer: 1

91. Sugar is sold at \(17 \frac{3}{4}\) per kg. Find the cost of \(8 \frac{1}{2}\) kg of sugar.

  1. \(115 \frac{7}{8}\)
  2. \(151 \frac{7}{8}\)
  3. \(150 \frac{7}{8}\)
  4. \(145 \frac{7}{8}\)

Answer: 3

92. A carton contains 40 boxes of nails and each box weighs \( 3 \frac{3}{4} \mathrm{~kg}\). How much would a carton of nails weigh?

  1. 100 kg
  2. 125 kg
  3. 150 kg
  4. 200 kg

Answer: 3

93. In which of the following does the shaded part represent one-fourth of its whole?

  1. In which of the following does the shaded part represent one fourth of its whole 1
  2. In which of the following does the shaded part represent one fourth of its whole 2
  3. In which of the following does the shaded part represent one fourth of its whole 3
  4. In which of the following does the shaded part represent one fourth of its whole 4

Answer: 1

PSEB Class 7 Maths Chapter 2 Solutions

94. Which of the following is an improper fraction?

  1. Which of the followingis an improper fraction 1
  2. Which of the followingis an improper fraction 2
  3. Which of the followingis an improper fraction 3
  4. Which of the followingis an improper fraction 4

Answer: 2

95. What does the shaded part of the following strip represent?

What does the shaded part of the following strip represent

  1. \(\frac{2}{7}-\frac{1}{7}+\frac{2}{7}=\frac{3}{7}\)
  2. \(\frac{2}{7}+\frac{1}{7}-\frac{2}{7}=\frac{1}{7}\)
  3. \(\frac{2}{7}+\frac{1}{7}=\frac{3}{7}\)
  4. \(\frac{3}{7}+\frac{2}{7}=\frac{5}{7}\)

Answer: 4

96. Find the perimeter of the figureFind the perimeter of the figure.

  1. 35.3 km
  2. 41.3 km
  3. 40.7 km
  4. 42.3 km

Answer: 2

97. Express in fraction form

Express in fraction form 97

  1. \(\frac{3}{9}+\frac{1}{3}=\frac{6}{9}\)
  2. \(\frac{3}{6}+\frac{2}{3}=\frac{3}{9}\)
  3. \(\frac{3}{6}+\frac{1}{3}=\frac{3}{9}\)
  4. \(\frac{6}{9}+\frac{2}{3}=\frac{3}{9}\)

Answer: 1

98. Pictorial representation of \(3 \times \frac{1}{4}=\frac{3}{4}\)

1.  Pictorial representation of 3 of 1

2.  Pictorial representation of 3 of 2

3.  Pictorial representation of 3 of 3

4. None

Answer: 1

99. Representation of \(\frac{1}{4}\) of 16 is

1. Representation of 1 4 th of 16 1

2. Representation of 1 4 th of 16 2

3. Representation of 1 4 th of 16 3

4. Representation of 1 4 th of 16 4

Answer: 2

100. The fraction formed with numerator 3 and denominator 7 is

  1. \(\frac{7}{3}\)
  2. \(\frac{3}{7}\)
  3. \(\frac{10}{7}\)
  4. \(\frac{3}{10}\)

Answer: 2

Punjab State Board Class 7 Maths Solutions For Chapter 1 Integers

Punjab State Board Class 7 Maths Solutions For Chapter 1 Integers

Choose the correct answers:

1. (-21) -(-10) =…………..

  1. -21
  2. 10
  3. -11
  4. 11

Answer: 3

2. Additive inverse of -5 is………

  1. +1
  2. 5
  3. -1/5
  4. 1/5

Answer: 2

3. The pair of integers whose stun -4 is……

  1. (-1,5)
  2. (-5,1)
  3. (0, 4)
  4. (-2,2)

Answer: 2

4. The value of (10)+ (-2) lies between ………….

  1. 0 and 10
  2. -10 and -6
  3. -4 and 0
  4. -6 and 6

Answer: 4

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

5. The number line represents

  1. 4 x (-3)
  2. (-4) x 3
  3. (-12) x(-3)
  4. (-3) x 3

Answer: 1

Observe the figure the distance of fish from sea level is

6. Observe the figure, the distance of fish from sea level is ……..

  1. 35m
  2. 50m
  3. -35m
  4. 25m

Answer: 3

7. Match the integerin column A to an integerin column B. So that eachpart of integer has difference between -3 and -10.

Col A                                     Col B

a) -2                  (  )                   i) 17

b) 3                   (  )                   ii) 5

c) -7                  (  )                   iii) 9

d) 9                   (  )                   iv) -2

  1. a-i,b-ii, c-iii, d-iv
  2. a-ii,b-iii, c-iv, d-i
  3. a-iii,b-iv, c-i, d-ii
  4. a-iv,b-i, c-ii, d-iii

Answer: 2

8. The property 10 x (6-(-2)) = (10 x 6) – (10 x (2)) is called …….property

  1. closure
  2. commutative
  3. associative
  4. distributive

Answer: 4

9. If (-16) (4 + (A)) = -8 then A = ( – )

  1. 4
  2. 8
  3. 2
  4. -2

Answer: 3

10. In the pattern

(-1) x (-1) =1
(-1) x 0 = 0
(-1) x 1 = -1
(-1) x 5 =….

  1. -1
  2. 0
  3. -5
  4. 5

Answer: 3

11. If A is on operation such that pAq = p x p + q x q-p x q for any integers p, q, then 2A (-5)

  1. 39
  2. 29
  3. 19
  4. -39

Answer: 1

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

12. In the following number line which of the following is not true?

the following number line

  1. B is greater than -10
  2. A is greater than 0
  3. B is greater than A
  4. A is smaller than 0

Answer: 2

13. The multiplicative inverse of 7 is…..

  1. 1
  2. -7
  3. 1/7
  4. -1/7

Answer: 3

14. If ★,〇,■,△ , A represent some integers on numbers line, then the ascending order of these numbers is

  1. ★ ■ △ 〇
  2. 〇 △ ★ ■
  3. 〇  ★  ■ △
  4. △ ★ ■ 〇

Answer: 2

ascending order of these numbers is

15. When -12 is divided by ……,the quotient is 4.

  1. -3
  2. 3
  3. 2
  4. -2

Answer: 1

16. …… – (-2024) = 0

  1. 2024
  2. 1
  3. -2024
  4. 0

Answer: 4

17. A boy standing in the middle of a staircase, goes down by 3 steps and then goes up by 10 steps,Now the step at which he is….

  1. 5
  2. 8
  3. -8
  4. -5

Answer: 2

18. [(-5) +…..] +……=…..+ [(-2) +…..] = -10

  1. 2, -3, 5, -3
  2. 2, 3, -5, 3
  3. -2, -3, -5, -3
  4. 2, 3, 5, 3

Answer: 3

19. On the following number line, (-2) 4 is represented by the point…..

On the following number line, (-2) 4

  1. B
  2. D
  3. A
  4. E

Answer: 1

20. (-6) + (-6) + (-6) + (-6) + (-6) =….. x(-6)

  1. 1
  2. -6
  3. 6
  4. 5

Answer: 4

21. (-52) x (-99) + 52 is equal to ……

  1. -5148
  2. -5200
  3. 5148
  4. 5200

Answer: 4

22. The odd one of the following.

  1. (0,-2)
  2. (-3,-5)
  3. (5,-5)
  4. (-1,-1)

Answer: 3

23. If x, y are two integers, then which of the following may not be an integer ?

  1. x + y
  2. x-y
  3. xxy
  4. x + y

Answer: 1

24. Which of the following shows the maximum raise in the temparature ?

  1. 5°C to 15° C
  2. -5°C to 6°C
  3. -2°C to -10°C
  4. -5°C to 0°C

Answer: 2

25. In a test of 20 questions, + 2 marks are given for every correct answer and -1 mark for every wrong answer. Rani attempted all questions and got 25 marks in total, then the no.of questions she answered incorrectly……

  1. 10
  2. 15
  3. 5
  4. 8

Answer: 2

26. Successor of -15 is

  1. -11
  2. -16
  3. -14
  4. -12

Answer: 2

27. (a + b) + c = a + (b + c) for all integers a,b and c. This property is

  1. closure
  2. commutative
  3. distributive
  4. associative

Answer: 4

28. 8 + (-7)- (-4) =….

  1. 3
  2. 5
  3. 11
  4. 19

Answer: 2

Punjab State Board Class 7 Maths Chapter 1 Integers Solutions

29. (-5) x (-4) x (-3) x (-2) x (—1) =

  1. 120
  2. -120
  3. 60
  4. -60

Answer: 2

30. If a = -10;b =1; c =1 then a + (b + c)=

  1. -5
  2. 5
  3. -10
  4. -9

Answer: 1

31. The additive inverse of (-a) is

  1. 1/a
  2. -1/a
  3. -a
  4. a

Answer: 4

32. (-1)x (-1)x (-1) x (-1) x (-1) =

  1. 5
  2. -5
  3. -1
  4. 1

Answer: 3

33. (-3) x….. = 27

  1. 9
  2. -9
  3. 24
  4. -24

Answer: 2

34. The opposite of 5 km northis

  1. 5 km south
  2. 5 km east
  3. 5 km north
  4. None

Answer: 1

35. Apair of integers whose difference is -5

  1. 9,4
  2. 9,-4
  3. -9,-4
  4. -9,4

Answer: 3

36. Choose the correct matching: ( )

Column -I                                   Column -II

i) (132) + (-12) =         (   )                a) 49
ii) (-144) + (16) =        (   )                b) 8
iii) (-32)- (-4) =            (   )                c) (-9)
iv) 196 + 4 =                (   )                d) (-11)

  1. i-b,ii – a,iii – c, iv – d
  2. i – a,ii -b,iii – d, iv.- c
  3. i – d,ii – c,iii -b, iv – a
  4. i- c,ii – d,iii – a, iv -b

Answer: 3

37. What should be multiplied by (-12) in order to get 180 ?

  1. 15
  2. -15
  3. 16
  4. -16

Answer: 2

PSEB Class 7 Maths Integers Solutions

38. If the total of two integersis (-53) and one of themis 9, find the otherinteger.

  1. -52
  2. 62
  3. -62
  4. 72

Answer: 3

39. Which integer do we get in (-8)÷(-2)?

  1. Positive
  2. Negative
  3. Zero
  4. None

Answer: 1

40. Subtract -222 from (-666)

  1. 600
  2. -660
  3. -444
  4. 444

Answer: 3

41. The difference of an integer P and (-8) is 6. What is the value of ‘P’?

  1. -2
  2. 2
  3. -14
  4. 14

Answer: 1

42. What is the value of 8 x (-7) + (-7)x9?

  1. -119
  2. 119
  3. -7
  4. 7

Answer: 1

43. (-25) x 8 + (-25) x 12 =……….

  1. -200
  2. -500
  3. -300
  4. None

Answer: 2

44. (17) x (-12) + (19) x (-12) =….

  1. -232
  2. -332
  3. -432
  4. None

Answer: 3

Class 7 Maths Chapter 1 Integers Questions and Answers

45. (?) ÷ (-18) = -7

  1. -126
  2. -136
  3. 126
  4. 226

Answer: 3

46. Choose the correct matching:

Column -I                                                                           Column -II

i) 5 + (0) = 5                              (   )                        a) Distributive property
ii) x(1) = x- (1)x                         (   )                        b) Closure in multiplication
iii)2x(3 + 4) = (2×3) + (2×4)     (   )                        c) Identityin addition
iv) 6(4) = 24                               (   )                        d) Identityin multiplication

  1. i-a,ii-b,iii-c,iv-d
  2. i – c,ii – d,iii – a,iv -b
  3. i-b,ii- d,iii – c,iv- a
  4. i- a,ii – c,iii – d,iv -b

Answer: 2

47. Choose the correct matching:

Column -1                      Column -II

-26 is               (   )           left side of 3
20 is                (   )           right side of -4
0 is                  (   )           bigger than -38
-2 is                (   )            lesser than 25

  1. i – a,ii – b,iii – c,iv – d
  2. i – b,ii – c,iii – d, iv – a
  3. i – c,ii – d,iii – a,iv – b
  4. i – d,ii – c,iii – a,iv – b

Answer: 3

48. What do we call the set of negative numbers and whole numbers?

  1. Natural numbers
  2. Integers
  3. Positive numbers
  4. The set of whole numbers

Answer: 2

49. Which of the following is the smallest positive integer?

  1. 0
  2. 100
  3. 1
  4. 9

Answer: 3

50. Which of the following is true with respect to -28 and -32?

  1. -28 <-32
  2. -28=-32
  3. -32 > -28
  4. -28>-32

Answer: 4

51. What is the smallest negative integer?

  1. -1
  2. -10
  3. 0
  4. Does not exist

Answer: 4

Class 7 Maths Chapter 1 Integers Questions and Answers

52. What is the identity element with respect to subtraction in integers?

  1. 0
  2. 1
  3. -1
  4. Does not exist

Answer: 1

53. Team P scored -40, 10, 0 and Team Q scored 10, 0, -40 in three successive rounds. Which team scored more ?

  1. P team
  2. Q team
  3. P team get 50 more runs
  4. Both are equal

Answer: 4

54. (-5) + (-8) = (-8) +………..= -13 Which property is used to solve this problem ?

  1. Associative
  2. Closure
  3. Commutative
  4. Distributive

Answer: 3

55. What is the multiplicative identity of integers?

  1. 0
  2. -1
  3. 1
  4. 4

Answer: 3

56. Write the additive inverse of the following (i) -100, (ii) 72 ( )

  1. 100, 72
  2. -100,72
  3. 100, -72
  4. -100,-72

Answer: 3

57 What should be subtracted from -2 to get -17?

  1. -15
  2. 15
  3. -19
  4. 19

Answer: 2

58. What is the additive inverse of [(-2) x (-7)] ?

  1. 1/4
  2. 1/14
  3. 14
  4. -14

Answer: 4

59. By how much 5 exceeds -5?

  1. 10
  2. -10
  3. 5
  4. None

Answer: 1

60. What is the nature of the product of a negative integer by itself odd number of times?

  1. Positive
  2. Negative
  3. Non-negative
  4. Can not be determined

Answer: 2

61. If the dividend and the divisor have like (same) signs, what is the sign of the quotient?

  1. Positive
  2. Negative
  3. Zero
  4. Indeterminate.

Answer: 1

PSEB Class 7 Maths Chapter 1 Solutions

62. What is the opposite of earning 100?

  1. + 100
  2. Profit of 100
  3. Gain of 100
  4. Spending of 100

Answer: 4

63. How is the withdrawl of 200 represented ?

  1. Depositing of? 200
  2. -200
  3. 200
  4. -200

Answer: 2

Read the below table and answer the following questions. (36 – 65)

Read the below tabic and answer the following questions

64. Which property involves in the above table ?

  1. Closure
  2. Commutative
  3. Associative
  4. Identity

Answer: 1

65. Which of the following statement is true according to the table?

  1. Whole numbers are commutative
  2. Whole numbers are closure
  3. Integers are associative
  4. Integers are distributive

Answer: 2

Observe the table and answer the following questions (66 – 67).

Observe the table and answer the following questions

66. Fill the blank with appropriate number 9 + …….= 2 + 9 = 11

  1. 9
  2. 2
  3. 11
  4. 0

Answer: 2

67. Which property was represented by this table ?

  1. Commutative
  2. Closure
  3. Identity
  4. Inverse

Answer: 1

68. Ramu added by mistake 7 to 13 instead of 13 to 7. What is his answer ?

  1. 6
  2. 20
  3. 0
  4. 17

Answer: 2

69. In a quiz, positive marks were given for correct answers and negative marks for incorrect answers. If Guru’s scores in five successive rounds were 35, -10, -15, 20 and 5, what is his total score at the end?

  1. 25
  2. 35
  3. 45
  4. 55

Answer: 2

70. A lift descends into an underground floor at the rate of 6 meters per minute. If the decent starts from 10 meters above the ground level, how much time will it take to descend 350 meters?

  1. 30 min.
  2. 50 min.
  3. 1 hour
  4. 1 hour 30 min.

Answer: 3

PSEB Class 7 Maths Chapter 1 Solutions

71. A plane is flying at the height of 5000 m above the sea level. At a particular point it is exactly above a submarine floating 1200 m below the sea level. What is the vertical distance between them?

  1. 5200 m
  2. – 5200 m
  3. 6200 m
  4. -6200 m

Answer: 3

72. At Srinagar, temperature was -5° C on Monday and then it dropped by 2° C on Tuesday.On next dayit rose by 4 0 C then what was the temperature on Wednesday at Srinagar?

  1. -7° C
  2. 11° C
  3. -11°C
  4. -3° C

Answer: 4

73. Anu deposits Rs. 2000 per month in her account for six months as savings. But when she is in need she withdraw Rs.1600 and once again she withdraws Rs. 5000 from her account. If withdrawal of amount is represented by (-ve) sign and deposition by (+ve) sign what is the present position of her account?

  1. – 1200
  2. + 5400
  3. + 6600
  4. – 5000

Answer: 2

74. A cement company earns a profit of 8 per bag of white cement sold and a loss of 5 per bag of grey cement sold. The company sells 3000 bags of white cement and 5000 bags of grey cement in a month.What is its profit or loss ?

  1. 1000 loss
  2. 1200 loss
  3. 1000 profit
  4. 1200 profit

Answer: 1

75. What is x here ?

  1. 36
  2. -36
  3. 27
  4. 45

What is x here in the table

Answer: 1

76. Fill? with appropriate value. ( )

  1. 8/2
  2. -1/4
  3. -4
  4. 1/4

Fill with appropriate value in the table

Answer: 2

Punjab State Board Solutions For Class 7 Maths Chapter 4 Simple Equations

Punjab State Board Solutions For Class 7 Maths Chapter 4 Simple Equations

1) 3(p – 7) -4 = 5

Solution:

=> 3p – 21 – 4 = 5 (Distributive property)

=> 3p- 25 = 5

=> 3p = 5 + 25 (-25 transposed and becomes +25)

=> 3p = 30

\( p=\frac{30}{3} \)

p = 10

Check :

Substitute p = 10 in given equation

LHS = 3 (p – 7)- 4

= 3(10 -7) – 4

= 3(3) -4

=> 9 – 4 =>5 = RHS

LHS = RHS; Hence verified

2) 5(q – 3) -3(q – 2) = 0

Solution:

=> 5q- 15 – 3q + 6 = 0 ( Distributive property)

=> 2q – 9 = 0

=> 2q = 9 (-9 transposed and becomes +9)

\( q=\frac{9}{2} \) (- 2 transposed and becomes +2)

Check:

Substitute \( q=\frac{9}{2} \) in the given equation

LHS = 5{q-3)-3(q-2)

\( \begin{aligned}
& =5\left(\frac{9}{2}-3\right)-3\left(\frac{9}{2}-2\right) \\
& =5\left(\frac{3}{2}\right)-3\left(\frac{5}{2}\right) \\
& =\frac{15}{2}-\frac{15}{2}=0=\text { RHS }
\end{aligned} \)

LHS = RHS; Hence verified

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Solutions

3) 0.4x- 0.3.v- 1.2 =0.6

Solution: 0.1x – 1.2 = 0.6

0.1x = 0.6 + 1.2 (-1.2 transposed and becomes + 1.2)

=> 0.1x = 1.8

=> x = \( \frac{1.8}{0.1} \) (x(0.1) transposed and becomes 0.1)

\( \Rightarrow x=\frac{18 / 10}{1 / 10}=18 \)

Check:

Substitute x = 18 in the given equation

LHS = 0.4x – 0.3x – 1.2

= 0.4 (18) -0.3(18) -1.2

= 7.2 -5.4 -1.2

= 7.2- 6.6 => 0.6 = RHS

LHS = RH5; Hence verified

4) 4(3y + 4) = 7.6

Solution:

12y + 16 = 7.6 (Distributive property)

=> 12y = 7.6 – 16 (+16 transposed and becomes -16)

=> 12y = – 8.4

=> \( y=\frac{-8.4}{12} \)

(x 12 transposed and become +12) = 4

y = -0.7

Check:

Substitute if = -0.7 in the given equation

LHS = 4(3y + 4)

= 4 (3 (- 0.7) + 4)

= 4(-2.1 +4) =4 (1.9)

= 7.6 = RHS;

=> LHS = RHS

Hence verified

5) 20 – (2r- 5) = 25

Solution:

=> 20- 2r + 5 = 25 ( Distributive property)

=> 25 – 2r = 25

=> -2r = 25 – 25 (+25 transposed and become -25)

=> -2r = 0

\( \Rightarrow r=\frac{0}{-2} \)

(x(-2) transposed and becomes +(-2))

r = 0

Check:

Substitute r = 0 in the given equation

LHS = 20 – (2r -5)

= 20 – (2(0) – 5)

= 20 + 5 = 25 = RHS

LHS = RHS; Hence verified

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Solutions

6) 3(5 – t) – 2(t- 2)= -1

Solution:

=> 15 – 3t- 2t + 4 = -1 ( Distributive property)

=> 19- 5t = -1

=> -5t = -1 – 19 (+19 transposed and becomes -19)

=> -5t = -20

=> 5t = 20

=> t =\( \frac{20}{5} \)

(x5 transposed and becomes +5)

t = 4

Check:

Substitute t = 4

LHS = 3(5 – t) —2(t- 2)

= 3(5 -4) -2(4 -2)

= 3(1) -2(2)

= 3 – 4 = -1 = RHS

LHS = RHS

Hence verified

19. Length of a rectangle is 4 m less than 3 times its breadth.If the perimeter of rectangle is 32m, then find its length and breadth.

Solution: Let the breadth of rectangle be = x m

Length of a rectangle is 4m less than 3 times its breadth then, length of rectangle = 3x -4m

Perimeter of a rectangle = 32 w

2 [length + breadth] = 32

2 [3x – 4 + x] = 32

2 [4x-4] = 32

8x- 8 =32

8x =32+8

8x =40

x= \( \frac{40}{8} \)

x =5

Breadth of rectangle = 5m.

Length of the rectangle = 3x – 4 = 3*5 -4 =15-4 = 11m.

PSEB Class 7 Maths Simple Equations Solutions

20. A bag contains some number of white balls, twice the number of white balls are blue balls, thrice the number of blue balls are the red balls. If the total number of balls in the bag are 27. Then calculate the number of balls of each colour present in the bag.

Solution:

Let the number of white balls contained in a bag = x

Number of blue balls = twice the number of white bulls = 2x

Number of red balls = thrice the number of blue balls = 3 (2 x) = 6x

Total number of balLs in a bag = 27

x +2x +6x =27

9x = 27

x = \( \frac{27}{9} \)

x = 3

Number of white balls = 3

Number of blue balls = 2x = 2×3 = 6

Number of red balls = 6x = 6×3 = 18

21. A man travelled \( \frac{4}{5} \) of his journey by train,\( \frac{1}{7} \) km by bus and the remaining 16 km by auto. What is the length of his total journey?

Solution:

Let the length of his total journey be ‘x’ km

The length of his journey by train = \( \frac{4}{5} x \mathrm{~km} \)

The length of his journey by bus =\( \frac{1}{7} x_{\mathrm{km}} \)

The length of his journey by bus = 16 km

The length of his total journey = x km

\( \begin{aligned}
& \frac{4}{5} x+\frac{1}{7} x+16=x \\
\Rightarrow & 16=x-\frac{4}{5} x-\frac{1}{7} x \\
\Rightarrow & 16=\frac{35 x-28 x-5 x}{35} \\
\Rightarrow & 16=\frac{35 x-33 x}{35}
\end{aligned} \) \( \begin{aligned}
& \Rightarrow 16=\frac{2 x}{35} \\
& \Rightarrow \frac{2 x}{35}=16 \\
& \Rightarrow 2 x=16 \times 35 \\
& \Rightarrow x=\frac{16 \times 35}{2}
\end{aligned} \)

x = 8 x 35 = 280 km

x = 280

The length ofhis total journey = 280 km

Check:

Total journey = 280 km

Journey by train = \( \frac{4}{5} \) x 280 = 224km

Journey by bus = \( \frac{1}{7} \) x 280 = 40 km

Journey by, auto = 16km

Total Journey = 224 + 40 +16 = 280 km

Hence verified

Write at least one other form for each equation

1) 5p – 20
2) 3n + 7- 1
3) \( \frac{m}{5}-2=6 \)

Solution:

Statement forms for equation

1) 5p=20

1) Multiply a number p by 5 to get 20.

2) A number p multiplied by 5 gives 20.

2) 3n + 7 – 1

1) Sum of three times n and 7 is 1.

2)Three times a number ‘n’ plus 7 gives 1.

3) \( \frac{m}{5}-2=6 \)

One-fifth of ‘m’ is greater than 2 by 6.

2)The difference between one tilth of a number m’ and 2 is 6

PSEB Class 7 Maths Simple Equations Solutions

Haryana Board Class 7 Maths Solutions For Chapter 4

The value of the expression (10y – 20) depends on the value of y. Verify this by giving five different values to y and finding for each y the value of (10y – 20). From the different values of
(10y – 20) you obtain, do you see a solution to 10y – 20 – 50? If there is no solution, try giving more values to y and find whether the condition 10y – 20 – 50 is met.

Solution:

Given expression 10y – 20

At y=0; 10 x 0- 20 =0 – 20 =- 20

At y=1: 10 x 1 – 20 = 10 – 20= – 10

At y =2; 10 x 2 – 20= 20 – 20= 0

At y =3; 10 x 3 – 20= 30 – 20 = 10

At y =4; 10 x 4 – 20= 40 – 20= 20

We do not see a solution to 10y – 20 =50

At y=5; 10 x 5 – 20 =50 – 20=30

At y=6; 10 x 6 – 20 =60 – 20=40

At y=7; 10 x 7 – 20 =70 – 20=50

The condition 10y – 20 – 50 is met at y=7.

Punjab State Board Class 7 Maths Chapter 4 Simple Equations Multiple Choice Question and Answers  

1. Find the value of x if \( \frac{x}{2}-1=\frac{x}{3}+4 \)

  1. 20
  2. 10
  3. 20
  4. 30

Answer: 3

2. Solve 6x + 18 = 8x + 12

  1. x = 1
  2. x = 2
  3. x = 3
  4. x = 4

Answer: 3

3. Solve 5(x-3) = 30

  1. 6
  2. 3
  3. 12
  4. 9

Answer: 4

4. What is the value of ‘x’ in \( \frac{3 x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2} \) ?

Answer: 3

5. If 0.2 (2x- 1) – 0.5 (3x- 1) = 0.4 whatis the value of ‘x’ ?

  1. \( \frac{1}{11} \)
  2. \( \frac{-1}{11} \)
  3. \( \frac{2}{11} \)
  4. \( \frac{3}{11}\)

Answer: 2

6. What is the value ofp in the given equation 8(2p – 5) -6(3p – 7) =1 ? .

  1. 2
  2. 3
  3. \( \frac{1}{2} \)
  4. \( \frac{1}{3} \)

Answer: 3

7. Find the variable value ‘y’in equation 0.6y + 0.8 = 0.56y + 2.32.

  1. 34
  2. 36
  3. 38
  4. 40

Answer: 3

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

8. If \( \frac{-9}{z}=\frac{-11}{5} \) , then -(z)=……….

  1. \( \frac{45}{11} \)
  2. \( \frac{11}{45} \)
  3. \( \frac{-45}{11} \)
  4. \( -\frac{11}{45} \)

Answer: 3

9. 3(x-3) = 5(2x + 1), then x =………

  1. 1
  2. -1
  3. 2
  4. -2

Answer: 4

10. The solution to the equation 8 – 5 (x- 4) 2x- 6 is

  1. \( \frac{10}{7} \)
  2. 2
  3. \( \frac{34}{7} \)
  4. 6

Answer: 3

11. What value of V makes the equation true ? \( \frac{x}{9}+6=8 \)

  1. 2
  2. 66
  3. 18
  4. 126

Answer: 3

12. If x + 4 = 9, then the value of x =……..

  1. 4
  2. 9
  3. 5
  4. 13

Answer: 3

13. If 2x + 5 = k, then x =…….

  1. k-5
  2. \( \frac{k-5}{2} \)
  3. \( \frac{k+5}{2} \)
  4. \( \frac{k}{2}-5 \)

Answer: 2

14. The value of V which satisfies equation 5x – 7 = 8 is

  1. 2
  2. 3
  3. 4
  4. -3

Answer: 2

15. If 3x = 20, then x =……..

  1. 17
  2. \( \frac{-7}{20} \)
  3. \( \frac{20}{3} \)
  4. 6

Answer: 3

16. Arrange the steps you will use to separate the variable and then solve the equation: 10x + 14 = 34

  1. 10x = 20
  2.  x = 2
  3. 10x = 34-14
  1. 1,2,3
  2. 2,3,1
  3. 2,1,3
  4. 3,1,2

Answer: 4

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

17. What are the two steps involved in solving the equation 15x + 4 = 26?

  1. Adding 4 on both sides and then multiplying both sides by 15
  2. Adding 4 on the LHS and dividing by 15 on the RHS
  3. Subtracting 4 from both the sides and then dividing by 15 on the RHS
  4. Subtracting 4 from both the sides and then dividing both sides by 15

Answer: 4

18. Which of the following equation can be constructed with x- 2 ?

  1. 3x – 4 = 2
  2. 3x + 4 = 2
  3. 3x – 4 = 8
  4. 3x + 4 = 8

Answer: 1

19. On transposing terms from one side of the equation to the other which of these changes takes place ?

  1. Addition becomes subtraction
  2. Subtraction becomes addition
  3. Multiplication becomes division
  4. Above all

Answer: 4

20. Arrange the followingin an order:

  1. Write the algebraic equation
  2. Read the problem
  3. Denote the unknown quantity
  4. Solve the equation
  1. 1,2,3,4
  2. 2,3,1,4
  3. 2,1,3,4
  4. 4,3,2,1

Answer: 2

21. a= b but ac = bc, then guess c =

  1. 1
  2. b
  3. a
  4. 0

Answer: 4

22. 0.5 m = 0.65, then m =

  1. 3
  2. 30
  3. 1.3
  4. 13

Answer: 3

23. x- 50% of x = 12, then x =

  1. 12
  2. 24
  3. 36
  4. 48

Answer: 2

24. 25% of x + 75% of x = 2012, then x =

  1. \( \frac{2012}{100} \)
  2. 2012×100
  3. 2012
  4. 1

Answer: 3

Class 7 Maths Chapter 4 Simple Equations Questions and Answers

25. Which of the following equations can be constructed with x = 5 ?

  1. 2x- 4 =1
  2. 3x- 5 = 10
  3. 3x- 4 = 9
  4. 12x- 5 = 25

Answer: 2

26. A number when multiplied 5 gives 80. What is that number ?

  1. 16
  2. 17
  3. 18
  4. 20

Answer: 1

27. Twice a number when increased by 4 gives 48. Whatis that number ?

  1. 11
  2. 22
  3. 33
  4. 40

Answer: 2

28. On adding 6 to the thrice of a number gives 30. What is the — of that number ?

  1. 1
  2. 2
  3. 3
  4. 4

Answer: 2

29. 3 is subtracted from \( \frac{3}{2} \)of a number results in 12. What is that number ?

  1. 14
  2. 18
  3. 10
  4. 16

Answer: 3

30. The sum of three times of a number and 11 is 32, find the number.

  1. 7
  2. 6
  3. 21
  4. 10

Answer: 1

31. Write the statement for the sum of three times of x and11 is 32in the form of equation.

  1. 3x +11 = 32
  2. 3x – 11 =34
  3. 5x- 7 = 2
  4. None

Answer: 1

32. Write the statementif you subtract 5 from 6 times a number we get 7in the form of equation.

  1. 6x – 5 = 7
  2. 3x- 11 = 34
  3. 5x-7 = 2
  4. None

Answer: 1

33. The number which when multiplied by 7 and then reduced by 3 is equal to 53 is

  1. 7
  2. 6
  3. 8
  4. 10

Answer: 3

34. Write the equation for the situation:

  1. \( \frac{2 x}{10}=52 \)
  2. 2x -10 = 52
  3. x + 10 = 52
  4. 2x + 10 = 52

Answer: 2

PSEB Class 7 Maths Chapter 4 Solutions

35. Write equation for adding 7 to twice a number to get 49

  1. 2x – 7 = 49
  2. 2x + 7 = 49
  3. -2x – 49 = 7
  4. 2x + 49 = 7

Answer: 2

36. The equation 2x = 6 can further be expressed as

  1. x = 6 -2
  2. x = 6 x 2
  3. \( x=\frac{6}{2} \)
  4. x = 6 + 2

Answer: 3

37. Write the information givenin the adjacent figure in the form of an equation

AB = 25 cm, BC = 10 cm

  1. x = 3
  2. x-3 = 10
  3. x + 3 =10
  4. \( x=\frac{10}{3} \)

Answer: 3

38. The sum of three consecutive integers is 75, which is the largest among them ?

  1. 25
  2. 23
  3. 24
  4. 26

Answer: 4

39. The lengths of the sides of a triangle are (a +1), (2a-1), (3a + 2). For what value of ‘a’, perimeter is 26 ?

  1. 2
  2. 3
  3. 4
  4. 6

Answer: 3

40. The sum of the ages of three persons is 40 years. What will be the sum of their ages after 3 years ?

  1. 49
  2. 39
  3. 59
  4. 69

Answer: 1

41. The teacher tellsin the class that the highest marks obtainedby a student in her class is twice the lowest marks plus 7.If the highest score is 87, what is the lowest score ?

  1. 20
  2. 80
  3. 40
  4. 30

Answer: 3

42. If k- 7 = 16, the the value of 8k + 72 =…….

  1. 256
  2. 372
  3. 252
  4. 200

Answer: 1

43. Two supplementary angles differ by 20° what is the measure of smaller angle ?

  1. 40°
  2. 80°
  3. 100°
  4. 30°

Answer: 2

PSEB Class 7 Maths Chapter 4 Solutions

44. The length of a rectangle is two times of its breadth. Its perimeter is 60 m. What is the length ?

  1. 10 m
  2. 15 m
  3. 20m
  4. 24m

Answer: 3

45. Two complementary angles are differ by 20°. What is the measure of larger angle ?

  1. 35°
  2. 45°
  3. 55°
  4. 65°

Answer: 4

46. Sum of two numbers is 21. One of the numberis twice the other, then those numbers are ……….

  1. 3,18
  2. 7,14
  3. 13,7
  4. 5,16

Answer: 2

47. If k + 7 = 16 then the value of 8k – 72 is ……….

  1. 0
  2. 1
  3. 112
  4. 56

Answer: 1

48. Epress the diagram In the form of an equation.

Express the diagram In the form of an equation

  1. 4x + 2x = 90°
  2. 4x + 2x = 180°
  3. 4x + 2x = 270°
  4. 4x + 2x = 360°

Answer: 2

49. The equation is y + 6 = 12The equation is y + 6 = 12. What are the values of P, Q, R ?

  1. y, 6, 12
  2. 6, 12, y
  3. 6, y, 12
  4. 12, y, 6

Answer: 4

50. What is the relation between length and weadth of a rectangleWhat is the relation between length and beadth of a rectangle?

  1. length is double that of breadth
  2. length is triple that of breadth
  3. breadth is half of length
  4. both A and C

Answer: 4

51. Write the equation for the adjacent figure

Write the equation for the adjacent figure

  1. 3x – 2x = 180°
  2. 3x + 2x = 180°
  3. 3x – 2x = 90°
  4. 3x + 2x = 90°

Answer: 4

52. The symbol to be placed in the box □ given below, for the value x = 4, x + 5 □10

  1. =
  2. >
  3. <

Answer: 4

PSEB Class 7 Maths Chapter 4 Solutions

53. AB = 25 cm, BC = 10 cm. To find AC, what is the equation here?

  1. 25 + 10 = x
  2. 10 – 25 = x
  3. x – 10 = 25
  4. x + 10 = 25

Answer: 4

54. A + 3 = 8 then the value of x is

  1. 11
  2. 5
  3. -5
  4. \( \frac{8}{3} \)

Answer: 2

55. Raju’s father’s age is 5 years more than three times Raju’s age. Find Raju’s age if his father is 44 years old.

  1. 39 years
  2. 15 years
  3. 13 years
  4. 26 years

Answer: 3

56. ‘One – third of a number plus 5 is 8’. Write this statementin the form of an equation

  1. 3A + 5 = 8
  2. 31-5-8
  3. \( \frac{x}{3}-5=8 \)
  4. \( \frac{x}{3}+5=8 \)

Answer: 4

57. \( \frac{y}{4} \) =10. Then the value of y is

  1. 40
  2. 14
  3. 6
  4. \( \frac{10}{4} \)

Answer: 1

58. 4x + 5 = 65. The value of x is

  1. 10
  2. 12
  3. 15
  4. 20

Answer: 3

Punjab State Board Class 7 Maths Chapter 4 Simple Equations  Fill in the blanks:

59. An equation is a condition on a……………

Answer: variable

60. ………………….are formed by performing operations like addition, subtraction, multiplication and division on the variables.

Answer: Expression

61…………….means shifting to the other side.

Answer: Transposing

62…………….remains the same if the LHS and the RHS are interchanged.

Answer: An equation

63. \( \frac{5}{2} x=20 \), then the value of x =

Answer: 8

64. Match the following:

1. n – 5 = 3      ( ) A) -8

2. y + 4 =- 4    ( ) B) 0

3. x + 4 = 4     ( ) C) 10

4. 3z = 42       ( ) D) 8

5. \(\) \frac{P}{2}=5 \(\) ( ) E) 14

Answer: 1. D 2. A 3. B 4. E 5. C

Punjab State Board Solutions For Class 7 Maths

  • Chapter 1: Integers
  • Chapter 2: Fractions and decimals
  • Chapter 3: Data handling
  • Chapter 4: Simple Equations
  • Chapter 5: Line and Angles
  • Chapter 6: THE TRIANGLE AND ITS PROPERTIES
  • Chapter 7: CONGRUENCE OF TRIANGLES
  • Chapter 8: COMPARING QUANTITIES
  • Chapter 9: RATIONAL NUMBERS
  • Chapter 10: Practical Geometry
  • Chapter 11: perimeter and Area
  • Chapter 12: Algebraic Expressions
  • Chapter 13: Exponents and Power
  • Chapter 14: SYMMETRY
  • Chapter 15: VISUALISING SOLID SHAPES