Question 1. What is the difference between reflex action and walking?
Answer:

Question 2. What happens at the synapse between two neurons?
Answer:

The synapse between two neurons is a junctional complex that permits an axon end of a neuron to pass its electrical or chemical signal to the dendrite end of another neuron.

• There is a fluid-filled narrow space between the two neurons. It is called synaptic cleft. The presynaptic axon end of the neuron is bulb-like.
• It contains many synaptic vesicles having neurotransmitter chemicals. The postsynaptic dendrite end of the next neuron has a trough-like depression. Its membrane has receptors for the neurotransmitter.
• As the impulse reaches the presynaptic bulb, the synaptic vesicles move to the cleft side and burst open.
• The released neurotransmitter sensitizes the receptors that in turn create the electrical impulse.
• Synapse allows a unidirectional flow of information from the axon end of one neuron to the dendrite end of the next neuron.

Read And Learn More PSEB Class 10 Biology

PSEB Class 10 Biology Chapter 7 Control And Coordination

Question 3. Which part of the brain maintains posture and equilibrium of the body?
Answer: Cerebellum.

Question 4. How do we detect the smell of an agarbatti (incense stick)?
Answer: Burning of agarbatti releases numerous molecules of incense. They enter the nose and come in contact with particular sensory hair of olfactory cells.

An impulse is generated. It passes into the olfactory bulb which relays it to the temporal lobes of the cerebrum for interpretation.

Question 5. What is the role of the brain in reflex action?
Answer: Like the spinal cord, the brain can also play a direct role in certain reflex actions called cerebral reflexes, for example., closing of eyes or flashing of light.

In such cases, brain acts as a relay station in which the impulse of sensory neurons is transferred to motor neurons through an interneuron.

Question 6. What is reflex action? Explain the mechanism of reflex action with a suitable example.
Answer:

Reflex action is a nerve-mediated automatic and spontaneous response to a certain stimulus without consulting the will of the individual.

• The stimulus for reflex action is picked up by its receptor. The receptor is connected to a sensory neuron. An impulse generated in it is passed to the central nervous system.
• The central nervous system acts as a relay or modulator. With the help of an interneuron, it transfers the impulse to a motor neuron. The motor neuron takes the impulse to the effector organ for response.

Question 7. Name the three major regions of the brain. Which part of the brain maintains posture and equilibrium of the body?
Answer:

Three regions of the brain. Fore brain, midbrain, and hindbrain. Maintenance of posture and equilibrium. Cerebellum.

Question 8.

1. Distinguish between voluntary and involuntary actions of our body.
2. Choose involuntary actions among the following: reading, beating of heart, salivation in mouth on viewing tasty food, talking.

Answer:

1. Voluntary action is under the control of the will and is performed with the help of striated muscles. Involuntary action is performed without instructions from will with the help of smooth muscles.
2. The beating of the heart and salivation in the mouth on viewing a tasty food are involuntary actions.

Question 9.

1. Name two main regions of our central nervous system,
2. Which one of them plays a major role in sending commands to muscles to act without Involving the thinking process,
3. Name the phenomenon involved.

Answer:

PSEB Class 10 Biology Chapter 7 Question And Answers

1. Brain and spinal cord.
2. The spinal cord has a major role in sending instructions to muscles without involving the thinking process.
3. Reflex action.

Question 10. Write the function of the following :

1. Sensory neuron
2. Cranium
3. Vertebral column
4. Motor neuron.

Answer:

1. Sensory Neuron. Conveying impulse or sensation from receptor to central nervous system.
2. Cranium. Covering and protection of the brain.
3. Vertebral Column. Covering and protection of the spinal cord.
4. Motor Neuron. Conveying impulse for action from the central nervous system to the effector organ.

Question 11. Identify the part of a neuron

1. Where information is acquired
2. Through which information travels
3. Where the impulse must be converted into a chemical signal?

Answer:

1. Dendrite
2. Axon
3. Synapse.

Question 12.

1. What is a reflex arc?
2. Why have reflex arcs evolved in animals?

Answer:

1. A reflex arc is nerve nerve-based pathway performed by an impulse from the receptor of stimulus to the effector organ through the central nervous system without consulting the will of the individual.
2. Reflex arcs evolved in animals even before the evolution of intelligence as a survival mechanism because they can provide immediate responses to harmful stimuli.

Question 13. Stale the sequence of events through a reflex arc which occurs when a bright light is focussed on your eyes.
Answer:

• Bright light is sensed by receptors present over the eyes. The sensation is picked up by sensory neurons and taken to the superior quadrigeminal.
• Intemeurons present in the superior corpora quadrigemina transfer the impulse to motor neurons. The motor neurons close the eyelids as well as narrow the pupil.

Question 14.

1. Name one gustatory receptor and one olfactory receptor present in human beings.
2. Write a and b in the given flow chart of neurons through which information travels as an impulse.

Dendrite a → b → End point of a neuron.

Answer:

1. Gustatory Receptor. Taste buds over the tongue.
   1. Olfactory Receptor. Olfactory epithelium in nasal chambers.
2. Dendrite → Cell body → Axon → End point of a neuron.

Question 15. What is a nerve impulse? State the direction followed by a nerve impulse while traveling in the body of an organism.
Answer:

A nerve impulse is a progressive electrical wave or signal that develops in response to a stimulus and travels along a nerve fiber to reach another nerve, muscle, or gland.

Direction Of Nerve Impulse

Dendrite → cell body → Axon → Axon end → Dendrite/gland/muscle.

Control And Coordination PSEB Class 10 Notes

Question 16. List in tabular form two differences between reflex action and walking.
Answer:

Question 17. Which part of the nervous system controls reflex arcs? Trace the sequence of events that occur when we touch a hot object. Mention the part of the neuron that requires information and the form in which information travels.
Answer:

Reflex arcs are controlled by the central nervous system (many in the spinal cord) without analyzing them. CNS functions as a coordinator or relay station for transferring sensory information to motor information.

Events. A hot object is the stimulus. As it is touched, the stimulus is picked up by skin-based receptors. From receptors, the information is taken up as an impulse by sensory neurons.

• Sensory neurons take the impulse to the spinal cord. In the spinal cord, the impulse is transferred to motor neurons through interneurons.
• The motor neurons take the impulse to the muscles of the hand which pull away the arm. Information travels in neurons in the form of electrochemical impulses.

Question 18. What is the structural and functional unit of the nervous system? Name any two components. Which structure in a neuron helps to conduct a nerve impulse

1. Towards the cell body
2. Away from the cell body.

Answer:

Structural and Functional Unit. Neuron.

Components of a Neuron. Dendrites, cell body, and axon.

1. Dendrite
2. Axon

Question 19.

1. Which part of the brain controls Involuntary actions?
2. Write the function of any two regions of It.

Answer:

Hind brain is a part of the brain that controls involuntary functions. It has three parts—pons, cerebellum, and medulla oblongata.

1. Medulla Oblongata. It regulates blood pressure, heart rate, and breathing. Several reflex actions have centers in the medulla oblongata, viz., swallowing, vomiting, sneezing, coughing, salivation, and peristalsis.
2. Cerebellum. It involuntarily co-ordinates muscular activities of the body. The cerebellum maintains equilibrium during different activities or postures of the body.

Question 20.

1. If the cerebellum is not functioning properly, state the activities of our body that are affected.
2. How do muscle cells move?

Answer:

PSEB Class 10 Biology Important Questions

1. Impairment of the cerebellum shall result in non-coordination of body activities and defects in maintaining balance or posture of the body.
2. Muscle cells move in response to excitation provided by a neuromuscular junction. The motor impulse passes to the bulb end of the motor end plate of an axon.
   • The bulb is in near contact with the sole plate of the muscle cell. As the nerve impulse reaches the bulb, it activates the synaptic vesicles.
   • The vesicles move to the membrane and burst open to release molecules of neurotransmitters.
   • They activate receptors over the end plate and cause activation of muscle interior releasing calcium and causing contraction of muscle cells.

Question 21. Name the part of the brain that controls

1. Voluntary actions
2. Involuntary actions.

How is the brain protected from injury and shock?

Answer:

1. Voluntary Actions. Cerebrum.
2. Involuntary Actions. Hindbrain.

Protection of the Brain.

1. Covering of brain by cranium,
2. Holding of the brain by meninges,
3. Presence of shock-resistant fluid medium both inside and outside the brain.

Question 22.

1. Name the system which facilitates communication between the central nervous system and other parts of the body.
2. Mention two types of nerves it consists of along with their organs of origin.

Answer:

1. Peripheral Nervous System (PNS) facilitates communication between the central nervous system (CNS) and other parts of the body.
2. The peripheral nervous system consists of two types of nerves
   1. Cranial from the brain, 12 pairs
   2. Spinal from spinal cord, 31 pairs.

Question 23. Trace the sequence of events that occur when a bright light is focused on your eyes.
Answer:

It is an example of a cerebral reflex.

Receptor cells of eyes → Sensory neurons → CNS (Brain) → Motor neurons → Eye muscles → Pupil contracts and eyelids close.

Question 24. List in tabular form three distinguishing features between the cerebrum and cerebellum.
Answer:

Question 25.

1. Name a part of the human brain that controls
   1. Voluntary actions and
   2. Involuntary actions.
2. Write the function of the peripheral nervous system. Name the components of this system stating their origin.

Answer:

PSEB Class 10 Science Chapter 7 Solutions

1. Voluntary actions. Forebrain/cerebrum.
   1. Involuntary Actions. Hind brain/medulla oblongata.
2. Peripheral Nervous System (PNS) connects different parts of the body with the central nervous system. It consists of nerves. Depending upon their origin, nerves arc of two types, cranial (from the brain) and spinal (from the spinal cord).

Question 26. Name parts in the diagram. What is the term given to the sequence of events occurring in the diagram?

Answer:

1. —Receptor (skin)
2. —Sensory neuron
3. —Spinal cord
4. —Relay neuron
5. —Motor neuron.

Term. Reflex arc.

Question 27. A cheetah on seeing a prey, moves towards it at a very high speed. What causes the movement of his muscles? How does the chemistry of cellular components of muscles change during the event?
Answer:

• The sight of prey generates a nerve impulse that reaches the muscles. A neurotransmitter is released. It causes the activation of muscles through the release of calcium.
• Calcium brings about a shortening of muscles through the sliding of myosin fibrils over actin fibrils. Shortening and relaxing of muscles allow the cheetah to move at high speed.

In each question, two statements are given- one labelled Assertion and the other labelled Reason. Select the correct answer to these questions from the codes (A), (B), (C) and (D) as given below :

• Both assertion and reason are true and reason is a correct explanation of the assertion.
• Both assertion and reason are true but reason is not the correct explanation of the assertion.
• Assertion is true but reason is false.
• The assertion is false but the reason is true.

Question 1. Assertion (A). The sex of a child in human beings will be determined by the type of chromosome he or she inherits from the father.

Reason (R). A child who inherits an ‘X’ chromosome from his father would be a girl (XX) while a child who inherits a ‘Y’ chromosome from the father would be a boy (XY).
Answer:  (1)

The sex of the children is determined by what they inherit from their father and not the mother. Justify.
Answer:

Women are homogametic. They produce one type of ova 22 + X. Men are heterogametic. They have two types of sperms, androsperms (22 + Y) and gynosperms (22 + X). During fertilization, it is the sperm type which determines the sex of the child—male (22 + X and 22 + Y or 44 + XY) or female (22 + X and 22 + X or 44 +XX).

Read And Learn More PSEB Class 10 Biology

Question 2. State the importance of chromosomal differences between sperms and eggs of humans.
Answer:

The chromosomal difference between sperm and eggs of humans is basic to the determination of the sex of the child. Eggs are of one type carrying the genetic complement of 22 + X. Sperms are of two types, androsperms with 22 + Y chromosomes and gynosperms with 22 + X chromosomes. The two types of sperm determine the sex of the child. Justify.

Question 3. Name the organism Mendel used for his experiments. Explain F1 and F2 progeny obtained by Mendel when he bred tall and short varieties of the organisms he experimented with.
Answer:

The experimental organism used by Mendel was the Garden Pea (Pisum sativum). Mendel crossed a pure tall

Pea plant with a pure dwarf Pea plant. All the plants of the Fj generation were tall. On self-breeding plants of the F₁ generation, Mendel obtained an F₂ progeny of both tall and dwarf in the ratio of 3: 1. The presence of dwarf plants in the F₂ generation shows that the factor of dwarfness was present in F₁ plants but it did not express its effect due to its recessive nature. The factor for tallness is dominant.

PSEB Class 10 Biology Chapter 9 Heredity

Question 4. The genotype of a plant bearing purple flowers is PP and one with white flowers is pp. When these are crossed

What colour of flowers would you find in F₁ progeny?

Give the percentage of white flowers if F₁ plants are self-pollinated.

In what ratio would you find PP and Pp in F₂ progeny? Draw a flowchart in support of your answer.

Answer:

Purple (b) 25 % (c) 1: 2

1 Pure: 2 hybrid purple: 1 pure white

Question 5. Why are some Pea plants tall and others short in nature? Explain with reference the role of genes in controlling characteristics.
Answer:

Genes are segments of DNA. They function in controlling body structure and its working through the synthesis of mRNAs. wRNAs take part in the formation of proteins. The proteins help in the synthesis of enzymes and other biochemicals.

The character of height is controlled by growth hormones. If the gene-controlling height is dominant, it helps in the synthesis of more hormones so that the plant becomes tall. If the gene is recessive, a less efficient protein and a smaller quantity of growth hormones would be produced. As a result, the plant remains dwarf.

Question 6. Explain how Mendel’s experiments show that traits are inherited independently.
Answer:

Mendel performed a dihybrid cross between round yellow-seeded and wrinkled green-seeded Pea plants. In F₁ generation he obtained only round yellow seeded plants. Both traits are dominant and are expressed in hybrids.

He raised the F₂ generation after the self-breeding of F₁ plants. There were four types of F₂ plants—round yellow (9/16), round green (3/16), wrinkled yellow (3/16) and wrinkled green (1/16). The combinations of round green and wrinkled yellow-seeded plants were new. They could arise only if the traits of the two characters could assort independently.

Question 7. One plant with dominant tall height bearing purple flowers is crossed with another plant having recessive dwarf and white flowers.

1. What does the plant’s F₁ generation look like?
2. What type of cross is it?
3. What is the phenotypic ratio in F₂ generation and name the type of plants obtained according to phenotypic ratio?

Answer:

1. Plants of generation are all tall and purple-flowered.
2. Dihybrid cross as it involves two different characters.
3. 9: 3 : 3: 1. Tall and purple flowered (9/16) tall and white flowered (3/16) dwarf and purple flowered (3/16) and dwarf and white flowered (1/16).

Question 8.

1. Name the sex chromosomes present in human males and human females.

2. With the help of a flowchart determine genetically in human beings the sex of the spring if the sperm carrying X chromosome fertilizes the egg.
Answer:

A. Sex chromosomes.

1. Human Male-XY

2. Human female-XX.

B. 22 + X (egg) and 22 + X (sperm) will produce a female baby (44 + XX).

PSEB Class 10 Biology Chapter 9 Question And Answers

Question 9. Guinea pigs having black colour when crossed with guinea pigs having the same colour produced 100 offspring out of which 75 were black and 25 were white. Now find out :

1. What is the possible genotype of guinea pigs?
2. Which trait is dominant and which is recessive?
3. What is this cross called and what is the ratio of F₂ progeny obtained from this cross?

Answer:

1. Genotype of Guinea Pigs. Bb, Bb.
2. Black colour is dominant (B) while white colour (b) is recessive.
3. Monohybrid cross. F₂ progeny. 1 pure black (BB): 2 hybrid black (Bb): one white (bb).

Question 10.

1. Name an animal which can change sex. What does it indicate?
2. Name the trait which can express itself in the next generation.

Answer:

1. Ophryotrocha(an annelid). It is male in the young state and female later. Sex is here determined non-genetically.
2. Dominant trait.

Heredity PSEB Class 10 Notes

Question 11.

1. Mendel selected the Pea plant for his experiments. List two reasons.
2. State the meaning of recessive and dominant genes.

Answer:

• Mendel selected the Pea plant for his experiments because It can be cross-pollinated manually and self-pollinated automatically. It is annual with a short life span and a high yield of seeds.
• Recessive Gene: It is a gene or factor that cannot express its effect in the presence of its contrasting factor.
  • Dominant Gene: It is a gene or factor which expresses its effect both in homozygous and heterozygous states.

Question 12. In a cross between plants with purple flowers and plants with white flowers, the offspring of the F₁ generation had all purple flowers. When F₁ generation individuals were self-bred, the F₂ generation gave rise to 100 individuals, 75 of which had purple flowers. Make a cross and answer the following.

1. What is the genotype of F₂ individuals?
2. What is the ratio of purple to white-flowered plants in F₂ generation?

Answer:

1PP (pure purple): 2 Pp (hybrid purple): pp (pure white)

1. Genotypes of F₂ Progeny. 1 PP: 2 Pp: 1 pp.
2. Purple to white flowered ratio. 75: 25 or 3: 1.

Question 13. A husband has 46 chromosomes. His wife has 46 chromosomes. Then why does not their offspring have 46 pairs of chromosomes which is obtained by fusion of male and female gametes? Support your answer with an illustration.
Answer:

Gametogenesis is not a mitotic division. It is a meiotic division. Therefore, gametes do not possess the same chromosome number as the parents. Instead, they have half the number of chromosomes. As the mother has 46 chromosomes, the ovum will have 23 chromosomes.

Similarly, as the father has 46 chromosomes his sperm will have 23 chromosomes. The fusion of a sperm (23 chromosomes) and an ovum (23 chromosomes) restores the 46 chromosome number in the offspring. There is no chance of having 46 pairs of chromosomes.

PSEB Class 10 Biology Important Questions On Heredity

Question 14. “It is a matter of chance whether a couple will give birth to a boy or a girl”. Justify the statement and support your answer with a neat illustration.
Answer:

The wife produces only one type of ova, that is, 22 + X. The Husband has two kinds of sperm, 22 + X (gymnosperms) and 22 + Y (angiosperms) formed in equal numbers. It is a pure chance which type of sperm comes in contact with the ovum. If it is endosperm, a male child is born. If it is a gymnosperm, a female child is born.

Question 15. A round-seeded plant (RR) Is crossed with a wrinkled-seeded plant (RR). Find out the phenotype and genotype of the F₁ and F₂ generations.
Answer:

Phenotype of F1 generation = Round Seeded ; Genotype of F, generation = Rr

The phenotype of F2 generation = 3 round: 1 wrinkled

Genotype of F2 generation = 1 pure round (RR): 2 hybrid round (Rr): 1 wrinkled (rr).

Question 16. Mendel studied the inheritance pattern of traits in a Pea plant. According to this study, he obtained a 9 : 3 : 3: 1 ratio of certain traits in the progeny of the F₂ generation. Based on it answer these questions.

1. What traits did he study? How do they represent themselves?
2. What was the trait of F₁ progeny?
3. Which rule does this inheritance pattern suggest?

Answer:

1. Mendel crossed round yellow seeded (RRYY) plant with wrinkled green seeded (rryy) plant.
2. F1 plants were all round and yellow-seeded.
3. In the F₂ generation, four types of plants were formed—round yellow seeded (9/16), round green seeded (3/16), wrinkled yellow seeded (3/16) and wrinkled green seeded (1/16).

The occurrence of round green and wrinkled yellow-seeded plants was a new combination of traits other than the parental types.

This is possible if the traits of the two characters separate or assort independently of each other. The phenomenon is called the law of independent assortment.

PSEB Class 10 Science Chapter 9 Solutions

Question 17. A cross was obtained between a purebred tall Pea plant and a purebred dwarf pea plant and F₁ progeny. Later the F1 progeny was selfed to obtain F2 progeny. Answer the following questions :

1. What is the phenotype of F₁ progeny and why?
2. Give the phenotypic ratio for F₂ progeny.
3. Why is the F₂ progeny different from the F₁ progeny?

Answer:

1. F1 progeny is all tall as the trait of tallness is dominant over the trait of dwarfism.
2. 3 tall: 1 dwarf.
3. Segregation of the trait of tallness and trait of dwarfism during gamete formation by F₁ progeny followed by random fusion of the two types of gametes during the formation of F₂ progeny, i.e., T x T (TT), T x t (Tt), t x t (tt).

Question 18. How can you say that in Mendel’s monohybrid cross, the F2 dominants are not the same?
Answer:

Phenotypically F₂ dominants appear similar but genotypically they are of two types, pure and hybrid. This can be proved by self-breeding the dominants. One-third of the dominants produce a progeny of only dominants. They are pure for the dominant trait. Two-thirds of the dominants behave as hybrids. They give a progeny of both dominant and recessive traits in the ratio of 3: 1.

Question 19. A cross was made between pure breeding Pea plants one with round and green seeds and the other with wrinkled and yellow seeds.

1. Write the genotype of Ft progeny. Give reasons for your answer.
2. Write the different types of F₂ progeny obtained along with ratios when F₁ progeny was selfed.

Answer:

1. Across between RRyy and rrYY plants yields an Fj generation ofRrYy(round and yellow seeded plants) even though none of the parents have this set of traits. It is due to the non-expression of recessive alleles for green colour and wrinkled seed in the presence of dominant alleles for yellow colour and round seed.
2. F2 Progeny. Round yellow (9/16), round green (3/16), wrinkled yellow (3/16) and wrinkled green (1/16).

Question 20. In an experiment, Mendel obtained 1014 plants, out of which 787 had round seeds and 227 had wrinkled seeds in F₂ generation.

1. What is the approximate ratio obtained in F₂ generation?
2. Under which law do you find this ratio?
3. Why is this law so-called?

Answer:

1. 787: 227 roughly 3:1.
2. Law of segregation.
3. As per the law of segregation, the two alleles of a character separate during gametogenesis and pass to different gametes.
4. A gamete comes to have only a single allele of a character.

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 is…….

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. 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. –
3. +

Answer: 1

15. Match the following:

1. \( 2 \times \frac{1}{4} \)                  i)   
2. \( 2 \times \frac{1}{3} \)                 (ii)
3. \( \frac{1}{4} \times 3 \)                  (iii)
4. \( 4 \times \frac{1}{4} \)                  (iv)

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. The 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   can be represented as

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

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)                ( )                  a) 0

2)     (  )                b) Proper fraction

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………..

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?

Answer: 1

PSEB Class 7 Maths Chapter 2 Solutions

94. Which of the following is an improper fraction?

Answer: 2

95. 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 figure.

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

Answer: 2

97. Express in fraction form

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. 

2. 

3.  

4. None

Answer: 1

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

1.

2.

3.

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

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

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?

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

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…..

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)

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).

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

Answer: 1

76. Fill? with appropriate value. ( )

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

Answer: 2

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 = 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)

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)

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

(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

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

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.

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

Answer: 2

49. The 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 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

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. ≥
4. <

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

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