CBSE Class 7

These NCERT Solutions for Class 7 Maths Chapter 1 Integers Ex 1.1 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 7 Maths Chapter 1 Integers Exercise 1.1

Question 1.
Following number line shows the temperature in degree Celsius (°C) at different places on a particular day.

(a) Observe this number line and write the temperature of the places marked on it.
(b) What is the temperature difference between the hottest and the coldest places among the above?
(c) What is the temperature difference between Lahulspiti and Srinagar?
(d) Can we say temperature of Srinagar and Shimla taken together is less than the temperature at Shimla? Is it also less than the temperature at Srinagar?
Answer:

(b) Temperature difference between the hottest and the coldest places
= Temperature of Bengaluru – Temperature of Lahulspiti
= 22°C – (- 8°C) = 22°C + 8°C
= 30°C

(c) Temperature difference between Lahulspiti and Srinagar
= Temperature of Srinagar – Temperature of Lahulspiti
= – 2°C – (- 8°C) = – 2°C + 8°C = 6°C

(d) Temperature of Srinagar and Shimla together
= Temperature of Srinagar + Temperature of Shimla
= – 2°C + 5°C = 3°C
3°C < 5°C
Yes, sum of temperatures at Srinagar and Shimla is less than the temperature at Shimla. Now, temperature of Srinagar = – 2°C
Also 3°C > – 2°C
No, sum of the temperatures at Srinagar and Shimla is not less than the temperature at Srinagar.

Question 2.
In a quiz, positive marks are given for correct answers and negative marks are given for incorrect answers. If Jack’s scores in five successive rounds were 25, – 5,- 10, 15 and 10, what was his total at the end?
Answer:
Score in 1st round = 25
Score in 2nd round = – 5
Score in 3rd round = – 10
Score in 4th round = 15
Score in 5th round = 10
Total score at the end
= 25 + (-5) + (-10) + 15 + 10
= 25 – 5 – 10 + 15 + 10
= 25 + 15 + 10 – 5 – 10
= 50 – 15 = 35

Question 3.
At Srinagar temperature was – 5°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Srinagar on Tuesday? On Wednesday, it rose by 4°C. What was the temperature on this day?
Answer:
Temperature at Srinagar on Monday = -5°C
Drop in temperature at Srinagar on Tuesday = 2°C
∴ Temperature at Srinagar on Tuesday = – 5°C – 2°C = – 7°C
Rise in temperature at Srinagar on Wednesday = 4°C
∴ Temperature at Srinagar on Wednesday = – 7°C + 4°C = – 3°C

Question 4.
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?

Answer:
Since the sea level is at 0 m and the plane is 5000 m above the sea level. Also the submarine is 1200 m below the sea level, so vertical distance between the plane and submarine is
= 5000 m – (- 1200 m)
= 5000 m + 1200 m
= 6200 m

Question 5.
Mohan deposits ₹ 2,000 in his bank account and withdraws ₹ 1, 642 from it, the next day. If withdrawal of amount from the account is represented by a negative integer, then how will you represent the amount deposited? Find the balance in Mohan’s account after the withdrawal.
Answer:
Amount deposited = ₹ 2000
Amount withdrawn = ₹ 1642
Balance in Mohan’s account = ₹ 2000 – ₹ 1642
after withdrawal = ₹ 358
Amount deposited is represented by positive integer.

Question 6.
Rita goes 20 km towards east from a point A to the point B. From B, she moves 30 km towards west along the same road. If the distance towards east is represented by a positive integer then, how will you represent the distance travelled towards west? By which integer will you represent her final position from A?

Answer:
Distance towards west is represented by negative integer
The directions east and west are opposite to each other
Distance moved towards west = – 30 km
Distance moved towards east = + 20 km
Her final position from A = + 20 km + (- 30 km) = 20 km – 30 km
= – 10 km

Question 7.
In a magic square each row, column and diagonal have the same sum. Check which of the following is a magic square?
(i)

(ii)

Answer:
(i) Sum of the digits along
1st row = 5 + (- 1) + (- 4)
= 5 – 1 – 4 = 0
2nd row = – 5 + (- 2) + 7
= -5 – 2 + 7 = 0
3rd row = 0 + 3 + (- 3)
=0 + 3 – 3 = 0
1st column = 5 + (- 5) + 0
= 5 – 5 + 0 = 0
2nd column = -1 + (- 2) + 3
= -1 -2 + 3 = 0
3rd column = – 4 + 7 + (- 3)
= – 4 + 7- 3 = 7 – 7 = 0
1st diagonal = 5 + (- 2) + (- 3)
= 5 – 2 – 3 = 0
2nd diagonal = – 4 + (- 2) + 0
= – 4 – 2 + 0
= – 6 ≠ 0
∴ Square (i) is not a magic square.

(ii) Sum of the digits along
1st row = 1 + (- 10) + 0
= 1 – 10 + 0 = – 9
2nd row = – 4 + (- 3) + (- 2)
= – 4 – 3 – 2 = -9
3rd row = – 6 + 4 + (- 7)
= – 6 + 4 – 7 = – 13 + 4 = -9
1st column = 1 + (- 4) + (- 6)
= 1 – 4 – 6 = 1 – 10 = -9
2nd column = (- 10 ) + (- 3) + 4
= -10 -3 + 4 = – 13 + 4 = – 9
3rd column = 0 + (-2) + (-7)
= 0 – 2 – 7 = 0 – 9 = – 9
1st diagonal = 1 + (- 3) + (- 7)
= 1 – 3 -7 = 1 – 10 = – 9
2nd diagonal= – 6 + (- 3) + 0
= -9 + 0 = -9
∴ Sum of each row, column and diagonal is the same.
∴ The square (ii) is the magic square.

Question 8.
Verify a – (- b) = a + b for the following values of a and b.
(i) a = 21, b = 18
(ii) a = 118, b = 125 .
(iii) a = 75, b = 84
(iv) a = 28, b = 11
Answer:
(i) L.H.S = a – (-b) = 21 – (-18)
= 21 + 18 = 39
R.H.S = a + b = 21 + 18 = 39
∴ a – (- b) = a + b

(ii) L.H.S = a – (- b) = 118 – (-125)
= 118 + 125 = 243
R.H.S = a + b = 118 + 125 = 243
∴ a – (- b) = a + b

(iii) L.H.S = a – (- b) = 75 – (- 84)
= 75 + 84 = 159
R.H.S = a + b = 75 + 84 = 159
∴ a – (-b) = a + b

(iv) L.H.S = a – (- b) = 28 – (- 11)
= 28 + 11 = 39
R.H.S = a + b = 28 +11 = 39
∴ a – (- b) = a + b

Question 9.
Use the sign of >, < or = in the box make the statements true.


Answer:
(a) (- 8) + (- 4) = – 8 – 4 = -12
(- 8) – (- 4) = – 8 + 4 = – 4
∴ – 12 < – 4

(b) (-3) + 7 – (19) = -3 + 7 – 19
= – 22 + 7 = – 15
15 – 8 + (- 9) = 15 – 8 – 9
= 15 – 17 = – 2
∴ -15 < – 2

(c) 23 – 41 + 11 = 34 – 41 = – 7
23 – 41 – 11 = 23 – 52 = – 29
∴ – 7 > – 29

(d) 39 + (- 24) – (15) = 39 – 24 – 15
= 39 – 39 = 0
36 + (- 52) – (- 36) = 36 – 52 + 36
= 72 – 52 = 20
∴ 0 < 20

(e) – 231 + 79 + 51 = – 231 + 130 = – 101
– 399 + 159 + 81 = – 399 + 240 = – 159
∴ -101 > -159

Question 10.
A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step.

(i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level?
(ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step?
(iii) If the number of steps moved down is represented by negative integers and the number of steps moved up by positive integers, represent his moves in part (i) and (ii) by completing the 1 following:
(a) – 3 + 2 -… = – 8
(b) 4 – 2 + … = 8.
In (a) the sum (- 8) represents going down by eight steps. So, what will the sum 8 in (b) represent?
Answer:
(i) To reach the water level his jumps will T be as follows:
(- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) = – 8
Hence, in 11 jumps he will reach the 1 ninth step (water level)

(ii) To reach back the top step his jumps will be as follows:
4 + (-2) + 4 +(-2) + 4 = 8
Therefore, he will reach back the top step in 5 jumps.

(iii) (a) (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3) + 2 + (- 3 + 2) + (- 3) = – 8
(b)4 – 2 + 4 – 2 + 4 – 2 + 4 – 2 = 8
Also in (a) the sum (- 8) represent going down by 8 steps and in (b) the sum (+ 8) will represent going up by 8 steps.
OR
(i) The position of the monkey after the:
(a) 1st jump is at the fourth step.
(b) 2nd jump is at the 2nd step.
(c) 3rd jump is at the 5th step.
(d) 4th jump is at the 3rd step.
(e) 5th jump is at the 6th step.
(f) 6th jump is at the 4th step.
(g) 7th jump is at the 7th step.
(h) 8th jump is at the 5th step.
(i) 9th jump is at the 8th step.
(j) 10th jump is at the 6th step.
(k) 11th jump is at the 9th step.
∴ Required number of jumps = 11.

NCERT Solutions for Class 7 English

An Alien Hand NCERT Solutions for Class 7 English An Alien Hand Chapter 10

An Alien Hand NCERT Text Book Questions and Answers

An Alien Hand Exercises Question and Answer 

Discuss the following topics in groups.

Question 1.
If you had to live in a home like Tilloo s, what parts of life would you find most difficult? What compensations might there be?
(Encourage the students to discuss their answers in groups.)
Answer:
If I had to live in a home like Tilloo’s, I would miss the oudoors and the trees and plants. I would definitely miss the clean, fresh air very often as I might find it difficult to breathe in a claustrophobic environment. Living closer to the core of a planet would mean that it would be uncomfortably hot there.The only compensation that I can see in Tilloo’s life is that he is living with his family that loves him a lot.

Question 2.
What, if anything, might drive mankind to make their homes underground?
Answer:
A nuclear attack, or an alien attack can make human beings live under the ground. This resonates with the World War II when the Jews had to find homes under the ground to remain protected and hidden from the Nazis.

Question 3.
Do you think there is life on other planets? Can you guess what kind of people there may be on them? In what ways are they likely to be different from us?
Answer:
Yes, there is a huge possibility that there is life on other planets because the universe is unimaginably vast. The Earth is but merely one of the planets in one of the galaxies. And there are billions and billions of galaxies in the universe.I think the people on other planet may look like us, but may be far more advanced in terms of technology.

They may have a completely different culture. In fact, they may even eat different food than us. The way they use energy in their lives may be significantly different as well.

NCERT Solutions for Class 7 English

A Tiger in the House NCERT Solutions for Class 7 English An Alien Hand Chapter 9

A Tiger in the House NCERT Text Book Questions and Answers

A Tiger in the House Comprehension check-I

Question 1.
“He had the distinction of being the only member of the party to have bagged any game… ” The phrase in italics means
Answer:
i. Grandfather was the most distinguished member of the party.
ii. Grandfather was the only sportsperson in the party.
iii. Grandfather was the only successful member of the hunting party.
Mark the right answer.
Answer:
iii. Grandfather was the only successful member of the hunting party.

Question 2.
Complete the following sentences.

• Toto climbed up the curtains when Timothy lost his temper.
• When I came to live with Grandfather, I became one of the tiger’s favourites.
• Timothy had clean habits, and would scrub his face with his paws exactly like a cat.

A Tiger in the House Comprehension check-II

Question 1.
Grandmother’s prophecy was that the tiger
i. would prefer Mahmoud’s bed to sleep in.
ii. and the cook would disappear together from the house.
iii. would one day make a meal of Mahmoud.
Mark the right answer.
Answer:
iii. would one day make a meal of Mahmoud.

Question 2.
When Timothy was about six months old, a change came over him.
The phrase in italics means that
i. Timothy had grown to his full size.
ii. Timothy grew more friendly.
iii. Timothy grew less friendly, in fact more dangerous
Answer:
iii. Timothy grew less friendly, in fact more dangerous

Question 3.
Write ‘True’ or ‘False ’against each of the following statements.

• Timothy and Grandfather went to Lucknow in a special compartment. True
• The compartment in which Grandfather and Timothy travelled had no other passenger. True
• Timothy and Grandfather travelled in a first class compartment. True
• All passengers in the compartment thought that Timothy was a well-fed and civilized tiger. False

Question 4.
Grandfather suggested that Timothy should be put in another cage.
Answer:
The reason was that

• the tiger had become very bad tempered.
• a leopard in the next cage would constantly rush at Timothy.
• the cage was too small for a full grown tiger.
• a leopard in the next cage would constantly rush at Timothy.

Question 5.
The tiger was still licking his arm, with increasing relish. The phrase in italics suggests that Timothy
i. was good natured.
ii. recognized an old friend.
iii. smelt fresh food.
Answer:
iii. smelt fresh food.

A Tiger in the House Exercises Question and Answer

Answer the following questions.

Question 1.
Where was the tiger cub hiding when Grandfather found him?
Answer:
The tiger cub was hiding among the intricate roots of a banyan tree when Grandfather found him.

Question 2.
i. What did Toto do to entertain Timothy?
Answer:
Toto would pull Timothy by the tail to entertain him.

ii. What did he do when Timothy lost his temper?
Answer:
When Timothy lost his temper, Toto would climb up the curtains.

Question 3.
“I became one of the tiger’s favourites”. Who is ‘I’in the statement? Why did he think so?
Answer:
‘I’ here refers to the author, who is the grandchild of the man who saves Timothy. He thought so because Timothy kept stalking him to play with him. He would creep closer and closer to the author, suddenly making a dash for his feet, rolling over on his back and kicking with delight, and pretending to bite his ankles.

Question 4.
Where was Timothy most comfortable during the day? Where was he during the night?
Answer:
During the day, Timothy used to settle himself on the large sofa in the drawing room. At night, he used to sleep in the cook’s quarters with Mahmoud, the cook.

Question 5.
What was Grandmother’s prophecy about the cook? Did it come true?
Answer:
Grandmother’s prophecy about the cook was that one day Timothy would eat him up in his sleep. She said that one day they will find Timothy sitting on Mahmoud’s bed, with no sign of Mahmoud, but his clothes and shoes. No, the prophecy never came true.

Question 6.
What made Grandfather decide to transfer Timothy to the zoo?
Answer:
When Timothy was about six months old, he grew steadily less friendly. During his walks, he would try to steal away to stalk a cat or someone’s pet dog. Sometimes at night the author and his grandparents would hear frenzied cackling from the poultry house, and in the morning there would be feathers lying all over the verandah.

Timothy had to be chained up more often. Finally, when Grandfather saw Timothy follow Mahmoud, the cook around the house with a villainous intent, he decided to transfer him.

Question 7.
Why did Grandfather want Timothy to be put in another enclosure?
Answer:
Grandfather wanted Timothy to be put in another enclosure because a leopard in the enclosure next to Timothy kept snarling at him. He felt that the leopard was trying to scare Timothy.

Question 8.
What shocked Grandfather in the end?
Answer:
The fact that Timothy had died two months ago, and that the tiger who was licking his hands was not Timothy, surprised Grandfather in the end. This new tiger was licking Gr andfather’s hands with the intention of eating his hands.

Discuss the following topics in groups.

Question 1.
Shoot animals with a camera, not with a gun.
(Encourage the students to discuss the given topics in groups.)
Answer:
Animals have as much right to live on this Earth as human beings. We share our planet with them, and do not own it. It is not right to shoot them and treat them cruelly just to meet our trivial needs or to feed our ego. We should not take away someone’s life, because it is an unjust thing to do. It is alright if we choose to study or document the lives of ‘ different animals to increase awareness around them, or to understand them better. But it is completely wrong to kill them for the sake of their skin or other animal products.

Question 2.
Keeping pets helps us become more loving and tolerant. It also helps us respect life in any form. Do you agree?
Answer:
Yes, I believe that keeping pets helps us become more loving and tolerant. This is so because we learn to co-exist with them and understand them better. We learn to live with them, and take care of them. When we become responsible for them, we learn to love without expecting anything in return. The love and affection that pets such as dogs shower on us can feel like pure bliss.

It also helps us respect life in any form, which means that we are able to understand that all life forms have emotions and feelings. And that we need to respect these feelings.

Question 3.
Have you heard of the Society for Prevention of Cruelty to Animals (SPCA)? What do they do?
Answer:
The Society for Prevention of Cruelty to Animals (SPCA) helps prevent animal cruelty and neglect. It works towards improving the life of animals by rescuing them. Its mission is to advance the safety and well-being of animals.

NCERT Solutions for Class 7 English

Garden Snake NCERT Solutions for Class 7 English Honeycomb Poem 9

Garden Snake NCERT Text Book Questions and Answers

Garden Snake Working with the poem

Answer the following questions.

Question 1.

i. Pick out the line that suggests that the child is afraid of snakes.
The line that suggests that the child is afraid of snakes is:
I saw a snake and ran away…
Some snakes are dangerous, they say;

ii. Which line shows a complete change of the child’s attitude towards snakes?
Read it aloud.
The line that shows a complete change of the child’s attitude towards snakes is:
And tell myself “There s no mistake,
It’s just a harmless garden snake! ”

iii. “But mother says that kind is good… ” What is mother referring to?
Answer:
The mother is referring to the garden snakes who eat insects.

Question 2.
Find the word that refers to the snake s movements in the grass.
Answer:
wiggles

Question 3.
There are four pairs of rhyming words in the poem.
Answer:
Say them aloud. away-say; good-food; grass-pass; mistake-snake

Question 4.
A snake has no legs or feet, but it moves very fast. Can you guess how? Discuss in the group.
Answer:
A snake moves very fast because they use their scales and muscles to walk. They move in a wavy motion.

Question 5.
Can you recall the word used for a cobra s long sharp teeth? Where did you come across this word first?
Answer:
The word used for a cobra’s long sharp teeth are called ‘fangs’. I came across this word in a dictionary.

NCERT Solutions for Class 7 English

Meadow Surprises NCERT Solutions for Class 7 English Honeycomb Poem 8

Meadow Surprises NCERT Text Book Questions and Answers

Meadow Surprises Working with the poem

Question 1.
Read the lines in which the following phrases occur. Then discuss with your partner the meaning of each phrase in its context.
i. velvet grass
ii. drinking straws
iii. meadow houses
iv. amazing mound
v. fuzzy head
Answer:
i. This refers to the soft grass that the person is walking on. It is so fresh and delicate that it appears that one is walking on the soft velvet fabric.

ii. This refers to the butterfly’s tongue which functions like a straw that sucks up the nectar from the flowers.

iii. The poet is referring to the small house that many animals make in the meadows such as the burrow of a rabbit, or a nest on tall grasses, and the mounds of the ants.

iv. The amazing mound refers to the anthill, or the house that ants make out of dirt and sand.

v. The fuzzy head refers to a dandelion with its threads that are fuzzy and soft and look like cotton.

Question 2.
Which line in the poem suggests that you need a keen eye and a sharp ear to enjoy a meadow? Read aloud the stanza that contains this line.
Answer:
The following line in the poem suggests that you need a keen eye and a sharp ear to enjoy a meadow:
Oh! Meadows have surprises And many things to tell;
You may discover these yourself, – If you look and listen well.

Question 3.
Find pictures of the kinds of birds, insects and scenes mentioned in the poem.
Answer:
(Encourage the students to find pictures of the kinds of birds, insects and scenes mentioned in the poem.)

Question 4.
Watch a tree or a plant, or walk across afield or park at the same time every day for a week. Keep a diary of what you see and hear. At the end of the week, write a short paragraph or a poem about your experiences. Put your writing up on the class bulletin board. (Encourage the students to complete the activity individually.)
Answer:
Sample answer: I walked across a garden at my friend’s house. It is a huge garden that has all kinds of flowers and plants that one can think of. The freshly cut grass gives off a mesmerizing smell, especially when it rains.

My friend’s mother has grown a vegetable garden on one side. One can catch the smell of fresh lemongrass, or cumin, and may other herbs in the garden. My favourites are the cherry tomatoes that she has grown. They stand out among all vegetables.

Among the flowers, there are daisies, marigolds; roses, jasmines and dahlia. There is a blast of colours at the flowers side of the garden. There all smell so good, and one can often see butterflies sitting on these flowers. I often try to catch one, but I am never able to do so.

They flutter away so quickly.
My friend says that he has seen glowworms at night in the garden, but I don’t believe him.
I will probably stay with him one day just to see if he is telling the truth.

The author and his new-found cyclist friend decide to go for a bicycle ride. But on the appointed day, he first offers to repair the author’s bicycle, and the rest goes bitterly downhill.

NCERT Solutions for Class 7 English

Dad and the Cat and the Tree NCERT Solutions for Class 7 English Honeycomb Poem 7

Dad and the Cat and the Tree Text Book Questions and Answers

Dad and the Cat and the Tree Working with the poem

Question 1.
Why was Dad sure he wouldn’t fall?
Answer:
Dad was sure that he wouldn’t fall because he considered himself to be an expert climber.

Question 2.
Which phrase in the poem expresses Dad’s self-confidence best?
Answer:
The phrase in the poem that expresses Dad’s self-confidence best is:
“A climber like me?
Child’s play, this is!” ”
“Easy as winking To a climber like me!”

Question 3.
Describe Plan A and its consequences.
Answer:
In Plan A, the father got the ladder out of the garden shed. Unfortunately, it slipped and he landed on the flower bed.

Question 4.
Plan C was a success. What went wrong then?
Answer:
In Plan C, the father used the garden wall to climb the tree. He gave a great leap and landed flat in the crook of the tree-trunk and right on the cat. The cat thus sprang to the ground.

Question 5.
The cat was very happy to be on the ground. Pick out the phrase used to express this idea.
Answer:
The phrase used to express this idea is ‘Pleased as Punch to be safe and sound’.

Question 6.
Describe the Cat and Dad situation in the beginning and at the end of the poem.
Answer:
In the beginning, Cat was stuck in the tree and Dad was trying to rescue it. However, at the end of the poem, Cat is happy to land safely on the ground, while Dad is stuck in the tree.

Question 7.
Why and when did Dad say each of the following?
Answer:

• Fall: Dad said this when mother told him to not fall on the ground. He said this before executing Plan A.
• Never mind: Dad said this after the first fall, while brushing the dirt off his hair and face.
• Funny joke: When mother asked Dad not to fall again, he said so to let her know that he was a good climber and would not fall again.
• Rubbish: When mother told Dad that he would break his neck, he said so to reassure her
  that he won’t fall again.

Question 8.
Do you find the poem humorous? Read aloud lines which make you laugh.
Answer:
Yes, the poem is humorous because it is ironic. Dad was on the ground at the beginning of the poem, trying to rescue Cat, but gets stuck himself in the tree. Here are some lines that make me laugh:

i. “Never mind, ’’ said Dad,
Brushing the dirt
Off his hair and his face And his trousers and his shirt,

ii. “Fall again? ” said Dad.
“Funny joke! ”
Then he swung himself up On a branch. It broke.

iii. And he landed flat
In the crook of the tree-trunk
Right on the cat