NCERT Solutions for class 3 पर्यावरण अध्ययन Chapter-22 दायां -बायां 

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NCERT Solutions for class 3 पर्यावरण अध्ययन Chapter-23 कपड़ा सजा कैसे

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NCERT Solutions for class 3 पर्यावरण अध्ययन Chapter-24 जीवन का जाल

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NCERT Solutions for class 3 Mathematics Chapter-1 Where To Look From?

1.Have you looked at things from different sides? Do they look the sdme or different?
Ans. Yes, I looked at things from different sides. They look different from different sides.

2.Look at the pictures drawn here. How does the table look from the side? Which picture is from the top?

Ans.The table looks like the first picture when seen from the side. It looks like the second picture when seen from the top.

3.Some pictures are drawn below. Imagine how these things will look if seen from the top.

Ans.Yes, they will look like this, when seen from the top.

Practice Time
(A)A cat is peeping into a classroom. Can you help her find out where the teacher is?

Ans. The teacher is sitting on the chair. She is opposite to students.
(B)Here are some pictures. Find out from where you have to look to see the things this way.

Ans. (i) From side (ii) From top (iii) From top
(iv)From side (v) From top (vi) From side
(C)Draw top views of a few things and ask your friends to guess what they Eire.
Ans. Top views of some of the things are given below:

Rangoli
1.Have you ever made a rangoli?
Ans. Yes, I have made simple rEuigoli during diwali.

2.On the dot grid given below, draw the following:
(a)A kite (b) A leaf (c) A flower (d)A boat’ (e)A star (f) A pot.
Ans. Some of the designs are given below:

Tit for Tat
1.The painter had made many such pictures in which he drew only one half of the things. Draw the other half of these pictures and find out what these things are. Try doing it with a mirror.
Ans.On completing the drawing, these will look like following: butterfly, lamp (diya), cat, star and fish.

2.Can we repeat the painter’s trick, while drawing pictures of the following?
Ans. No, for these drawings we cannot repeat the painter’s trick.

3.If you ask the painter to draw things which cannot be divided into two similar mirror halves, then he cannot play the trick. Draw three more such things which do not have similar mirror halves.
Ans. Some of such drawings are given below:

Mirror Halves
1.Look at the pictures given below. Does the dotted line divide each picture into two similar mirror halves?
Ans. 1.Yes 2.Yes 3.No 4.No
5.Yes 6.No 7.Yes 8. Yes
9.No 10.No 11.Yes 12.Yes
13.Yes 14.Yes 15.No 16.Yes

2.Give some more examples:
Ans.

3.Can you guess these letters from their halves?
Ans. The letters are as follows;
A,C, H, U, B and K

4.Guess the words by looking at their halves.
Ans.We can make following words from their halves: COOKED RICE

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NCERT Solutions for class 3 Mathematics Chapter-2 Fun With Numbers

1.Radhika, Gauri, Vicky, Indra and Sunil were collecting Imli (tamarind) seeds. Let us see how many seeds were collected by them.

Fill in the blanks:
(a)————- collected the most seeds.
(b) Sunil will collect————-more seeds to be equal to Vicky.
(c)If Radhika gets 6 more seeds, she will have————-
(d) How. many children have more than 40 seeds?————-
(e)————- needs 3 more seeds to have 50.
(f) Sunil has 2 seeds less than 40 and————-has 2 seeds more than 40.
Ans. (a) Indra (b) 4 (c) 30 seeds (d) 3 (e) Gauri (f) Vicky.

Dhoni’s Century
1.Dhoni scored 96 +———– = runs
Ans. 96 + 6 = 102

2.How many runs do these players need to complete a century?

Ans. Player 1; 100 – 93 = 7 Player 2; 100 – 97 = 3
Player 3; 100 – 89 = 11 Player 4; 100 – 99 = 1

3.Fill in the blanks:
Ans.

4.Oh! 206! Guess how many more to make a triple century?
Ans. Triple century = 300
So, 300 – 206 = 94

Top Tea Scores in the Cricket World Cup

1.Fill in the blanks:
1.C. K just missed his century. How many runs did he need to make a century?————
2.————and———— scored almost equal runs.
3.————scored a complete century, no less, no more.
4. Most runs scored by any batsman are ————
5.————and———— have a difference of just 1 run between them.
6. ————scored 2 more runs than one and a half century.
Ans. 1. 100 -9 = 1 Hence C. K. missed his century by 1 run.
2. A. S. and C. K. or A. P. J. and V. V. S.
3. A. S.
4. 178 scored by M. D.
5. A. S. and C. K. or A. P. J. and V. V. S.
6. K S. P.

2.Fill in the blahks (Counting in 10’s)

Ans.

3.Fill in the blanks (Counting in 50’s)

Ans.

4.How For can you go like this?
Ans. We can go on and on, because there is no end to these numbers.

5.What is the biggest number you can call out?
Ans. There is no biggest number and hence we cannot call that number.

Colour the Numbers

1.Find these numbers in the above chart and colour them.

Ans.

Jumping Animals
Find out:
(а)Gabru and Bunny both jump on squares 104,————— and—————
(b)Tarru and Bunny both jump on squares,—————,————— ,
—————and —————
(c)Is there any square where all three of them jump?—————
(d)Guess who will finish in the least jumps?————— In how many jumps?
Ans. (a) 139 and 174 (b) 114, 134, 154 and 174 (c) 174 (d) Gabru, 12

Hint: The last square is numbered 175. Multiply number of square in one jump by number of jumps for an animal. Add the result with the number on starting ; ‘square. You can also take Ludo coins of different colours to count the number of squares for an animal.

Class, Jump!
(a) Jump 2 steps forward:
104,106, 108,————- ,————- ,————- ,————-
(b)Jump 2 steps backward:
262, 260, 258,————- ,————- ,————- ,————-
(c)Jump 10 steps forward:
110,120,130,————- ,————- ,————- ,————-
(d) Jump 10 steps backward:
200,190,180,————- ,————- ,————- ,————-
Continue the pattern:
(e)550, 560, 570,————- ,————- ,————- ,————-
(f) 910,920,930,940, ————- ,————- ,————- ,————-
(g)209, 207, 205,————- ,————- ,————- ,————-
(h)401, 402, 403,————- ,————- ,————- ,————-
Ans. (a)110, 112, 114, 116
(b) 256, 254, 252, 250
(c)140, 150,160, 170
(d) 170,160, 150, 140
(e)580,590,600,610
(f) 950, 960, 970, 980
(g) 203, 201,199, 197
(h)404,405,406,407

Lazy Crazy Shop
1.Find out how many packets of tens, hundreds and loose items each animal will take. Fill in the blanks:

Ans.

2.Lazy Crazy also has a crazy way of taking money. He takes only in ?.100 notes, ? 10 notes and coins. Now find out how they will play him for what they have taken.
1.Rs 420 2.Rs 143 3.Rs 242 4. Rs 55
Ans.1.Rs 420 4 Rs 100 notes and 2 Rs 10 notes.
2.Rs 143 1 Rs 100 notes, 4 Rs 10 notes and 3 Re 1 coins.
3.Rs 242 2 Rs 100 notes, 4 Rs 10 notes and 2 Re 1 coins.
4.Rs 55 5 Rs 10 notes and 5 Re 1 coins.

3.Who am I? Match with the number.

Ans. 1. 45 2. 89 3. 96 4. 100 5. 150 6. 87

4.How many are these?
Ans. (a) 240 rupees (b) 319 sticks (c) 212 blocks (d) 138 beads (e) 320 rupees.

Moon Mama Counts His Starry Friends
1.Which cards will I have in my pocket if I have counted up to
(а)19 (b)21 (c) 95 (d)201 (e) 260
(f) 300 (g) 306 (h) 344 (i) 350 (j) 400
Ans. (a) T9 [10] [1] [1] [1] [1] [1] [1] [1] [1] [1]
(b)21 [10] [10] [1]
(c)95 [10] [10] [10] [10] [10] [10] [10] [10] [10] [1] [1] [1] [1] [1]
(d) 201 [100] [100] [1]
(e) 260 [100] [100] [10] [10] [10] [10] [10] [10]
(f) 300 [100] [100] [100]
(g)306 [100] [100] [100] [1] [1] [1] [1] [1] [1]
(h)344 [100] [100] [100] [10] [10] [10] [10] [1] [1] [1] [1]
(i)350 [100] [100] [100] [10] [10] [10] [10] [10]
(j) 400 [100] [100] [100] [100]

2.When I had [10] [10] cards in my pocket, I knew I had counted 20 stars. Now you tell me the number of stars counted in each case. Write the answer in the blank space.
Ans. (a) [10] [10]. —————–20
(b)[10]'[10] 1 11111 . —————–26
(c)[100] [100] [10] [100] —————–310
(d)[100] [10] [10] [10] .—————–130
(e)[100] [100] [100] [100].—————–400
(f)[100] 1 1 [100] 1 1[10] 1 1 [100].—————–316
(g)[100] 1 [100] [100] 1 [100] [100] 1 [100].—————–603
(h)[100] [10] [100] 1 [100] [10] [100] [10].—————–431
(i)[100] [100] [100] [100] [100] [100] [100] [100] [100] [100].—————–1000

3.Guess how many starry friends I have in all……..!!!
Ans. These are 38 in numbers.

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NCERT Solutions for class 3 Mathematics Chapter-3 Give and Take

1.Try these on Kittu’s Home.
(a)10 less than 34 is———– (b) 53 – 20 =———–
(c) 11 more than 31 is ———– (d) 11 less than 66 is———–
(e) 62 + 13 =———– (f) 23 less than 89 is———–
(g) 10 and 40 more is———– (h) 9 added to 28 gives———–
(i)The sum of 9 and 44 is———– (j) Reducing 98 by 34 gives———–
(k) 4 and 37 more is———–  (l) Take 35 away from 83. We get———–
Ans. (a)24 (b)33 (c)42 (d)55 (e)75 (f)66 (g)50 (h)37 (i)53 (j)64 (k)41 (l)48

How Many Bulbs?
1.A shopkeeper Rafi had 153 candles. Paras gave him 237 more candles. How many candles does Rafi have now?
Ans.

(A)A train compartment is carrying 132 people. Another compartment is carry¬ing 129 people. In all, how many people are there in both the compartments?
Ans.

Thus, there are 261 people in all.
(B) Shanu found 138 pebbles. Karim found 44 pebbles. How many pebbles did they find in all?
Ans.

Thus, total number of pebbles are 182.
(C) A teacher kept a note of which fruits students like in her school. This is .what she found:

Find out:
(a) How many students in the school like oranges?
(b) How many students in the school like mangoes?
(c) Altogether, how many students are there in the school?
(d) Is the number of girls more than 350 or less than 350?
Ans. On completing the table, we have

(a)Number of students who like oranges = 136 + 128 = 264
(b)Number of students who like mangoes = 240 + 243 = 483
(c)Number of students in the school = 376 + 371 = 747
(d)Number of girls = 136 + 240 = 376 which is’more than 350.

Practice Time

Mind Train Game
1.Work out four different ways to write the numbers. If you add all the numbers in the first box, you will always get 59.

Ans.

Can you solve this puzzle? Write the numbers 1, 2, 3, 4, 5, 6 in the circles, so that the sum of the numbers on each side of the figure is 12.

2.Find Mithoo’s bag.
Do all the sums mentally.
(a)75 + 20 = 95 (b) 90 + 60 = 150
(c)25 + 30 + 3 ——– (d) 9 + 40 + 31 ——–
(e)500 + 200——– (f) 400 + 350 ——–
(8)670 + 120——– (h) 380 + 210——–
(i)205 + 650 ——– (j) 128 + 600 ——–
(k)150 + 69 ——– (l) 37 + 46 + 3——–
Find Mithoo’s bag and check your answers. Draw a line through the numbers which are answers written in the boxes above.

Ans. (c) 58 (d) 80 (e) 700 (/) 750 (g) 790 (h) 590 (i) 855 (j) 728 (k) 219 (l) 86.

Card Game
1.You can also play it. Here are the cards for you. Work out the combination. Place the cards in the right boxes.

Ans.

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NCERT Solutions for class 3 Mathematics Chapter-4 Long and Short

1.Measure your arm and your mother’s arm. What is the difference?
Ans. My mother’s arm is longer than that of mine.

How Many?
1.In how many steps will Doiji cross the road?
Ans. Doiji may cross the road in five steps.

2.How many cups can be placed in a line on this table? “
Ans. Ten cups can be placed in a line on this table.

3.How many pots can be placed to reach the tree branch?
Ans. Five pots can be placed to reach the tree branch.

4.How many shirts can be hung on this wire?
Ans. Four shirts can be hung on this wire.

How Much is a Centimetre (cm)?
(i)The matchstick is 4 centimetres long.
(ii) A die is 1 centimetre from every side.
(iii) The lizard is 13 centimetres long.
(iv)The leaf is 4 centimetres long.
(v)The wax colour is 7 centimetres long.
(vi)Now, look at a scale that you find in a geometry box. How many centimeters
does it have?
Ans. 15.
The small scale that you mostly use in school is like this one.
Is it easier to start measuring from ‘O’ mark? Look at the things drawn near the scale and find out their lengths.

2.What are the little lines on the scale used for?
Ans. The little lines on the scale are used to measure short objects.

3.Look for things that are
(i)About 10 cm long.
(ii) Between 10 to 20 cm long.
(iii) Less than 1 cm long.
Ans. The list of things having lengths:
(i)About 10 cm Eire:
Screw driver, Soap cake, Badge.
(ii)Between 10 to 20 cm are:
Electric iron, Spoon, Bottle.
(iii)Less than 1 cm are:
Peas, Beans, Nail.

4.Which is longer? Thumb or little finger?
Ans. Thumb is longer than little finger.

5.Think-How will you know the number of centimetres if you measure with a rope, shoe-string, thread etc.?
Ans. This can be done by first measuring with a rope, shoe string, thread, etc. and then comparing with the scale.

Gibli and the Grains
1.Ant Gibli has to reach the grains. She is looking for the shortest road. Can you tell her which is shortest?
Ans. Road B is the shortest.

2.Can you draw a road shorter than these? What is the length of that road?
Ans. Yes, I can draw a road shorter than these. A straight road from ant to the grains will be shorter than these roads. You can measure the length of this road.

Centimetres or Metres?
1.Which of these will be in centimetres and which will be in metres?
(i)Width of computer screen. (ii) Length of pagdi worn by Sikhs.
(iii)Height of a one year old child (iv)Length of a banana.
(v)Waist of an elephant. (vi)Height of a sugarcane.
(vii)Depth of a well. (viii) Height of your mother.
(ix)Distance From school to home (x) Lenght of your father’s arm
Ans. (i) Centimetres (ii) metres (iii) centimetres
(v) metres (vi) metres (vii) metres
(viii) metres (ix) centimetres (x)Centimeters

Trip to Agra
Marie and Baichung are going with their family to Agra. They get down at Agra Cantt. Railway Station and take a rickshaw to Taj Mahal. After 3 hours, they start for Agra Fort, again in a rickshaw. In the afternoon they take a bus to go to Fatehpur Sikri.

1.Now look at the distances between these places (for kilometres we write km).
•Agra Cantt. Railway Station to Taj Mahal – 5 km.
•Taj Mahal to Agra Fort – 2 km.
•Agra Fort to Fatehpur Sikri – 40 km.
Now find from the map.
Which is farther from Agra Cantt. Railway Station-Taj Mahal or Fatehpur Sikri?
Ans. Fatehpur Sikri is farther from Agra Cantt.
2.Which of these is nearer to the railway line?
(i)Babarpur forest or Taj Forest?
(ii)Agra Fort or Taj forest?
Ans. (i) Babarpur forest.
(ii)Agra Fort.
3.Which is nearer to the river Yamuna?
Ans. Taj Mahal.

The Long Tail Competition
1.The animals in the picture had a competition. The animal who had the longest tail won a prize. Now who do you think won the first prize and who won the second? Just guess the length of the longest tail.
Ans. Monkey won the first prize and cow won the second prize. Monkey’s tail is the longest and is about 1 metre long.

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NCERT Solutions for class 3 Mathematics Chapter-5 Shapes and Designs

Have Fun with Shapes
1.How many triangles are there in the following figures?
Ans. (a) There are 8 triangles in figure (i)
(b)There are 8 triangles in figure (ii)
(c)There are 9 triangles in figure (iii).

2.Find the biggest rectangle in the figures given below:
Ans. Biggest rectangles in the figures are shown enclosed in thick lines.

Edges and Corners
1.(a)Looking at the picture given above, can you tell who is out?
(b)Where is Guddu standing?
(c) Can this game be played around a round table? Why?
Ans. (a) Guddu is out as she is not at a comer of the table.
(b)Guddu is standing against the edge of the table.
(c)No, this game cannot be played around a round table as it has no corners.

2.(a) Look around you and identify things with straight and curved edges?
(b)Do the things with straight edges have corners?
(c)Do the things with curved edges have corners?
(d)Try to find things which have both straight and curved edges.
Ans. (a) Following things have straight edges; picture, book, door, newspaper, blackboard.
Following things have curved edges; ball, grapes, apple, lemon, coconut.
(b)Yes, things with straight edges have comers.
(c)No, things with curved edges have no corners.
(d)Following things have both straight and curved edges; bread, violin, electric guitar, car, screw-driver.

Activity Time
1.Take a rectangular sheet of paper.
2.Count its corners.
3.Now fold one of its corners.
(a)How many corners does it have now?
(b)How many comers will you get by folding?
(i)2 cpmers, (ii) 3 comers, (iii) 4 corners.
(c)Can you fold this paper in such a way that it has only three comers? You are allowed only two folds. What shape will you get?
4.Repeat the activity with a square sheet of paper.
5.Can you fold all the corners of the square sheet in such a way that the number of corners remains unchanged?
Ans. 1.Do as directed.
2.There are four corners.
3.(a) Five comers.
(b)(i) 6 comers, (ii) 7 comers, (iii) 8 corners.
(c)Yes, it can be folded to have three corners by folding it twice. The shape thus obtained is a triangle.
4.Do as directed.
5. Yes, all the corners of the square sheet can be folded in such a way that the number of corners remains unchanged.

2.

Ans.

3.

Ans. Yes, these figures have curved lines also.

4.Using only straight lines, can you draw a figure which has no corners?
Ans.No, we cannot draw a figure which has no corners; using straight lines.

Tangram
1.How many triangles do you have in your set? Are all of them equal in size? Find
If out.
Ans. There are three triangles in the set. No, all of them are not equal in size. These triangles are numbered as 1, 2, 3, 4 and 5 in the tangram.

2.Use the two small triangles in the tangram set to get the following shapes:

Ans.The given shapes can be made as under by using two small triangles numbered 2 and 5 in the tangram are shown below:

3.Which two pieces of the tangram set are exactly same? Find out.
Ans. The two pieces numbered 2 and 5 of the tangram set are exactly same.

4.Find matching sides among the following pairs of pieces:
(a)Pieces 1 and 2 (b)Pieces 2 and 4
(c)Pieces 1 and 5 (d)Pieces 2 and 5
Ans. (a) Longest side of piece 2 with the smaller side of piece 1.
(b) Smaller side of piece 2 with smaller side of piece 4 and longest side of piece 2 with longest side of piece 4.
(c)Longest side of piece 5 with the smaller side of piece 1.
(d)Longer side of piece 2 with the longer side of piece 5 and smaller side of piece 2 with the smaller side of piece 5.

The 7-piece Tangram
Here is the picture of a seven-piece tangram.
You can cut out these pieces and put them together in different ways to make some very interesting shapes.

Try making these shapes:
1.Now try making the following shapes using only the pieces written here:

Ans. Shapes using the desired pieces are shown against them as under:

Weaving Patterns
Golu and Binu went to the market with their aunt. They saw many rugs (durries).
1.Which geometrical shapes can you identify in these borders? Draw them in your notebook.
Ans. The geometrical shapes used in these borders are:

2.Is any shape repeating in a particular pattern? Which ones?
Ans. Yes, many shapes are repeating in a particular manner such as:

3.Are the shapes made of
(i) Curved lines (ii) Straight lines
(iii) Both curved and straight lines.
Ans. Shapes are made of both curved and straight lines.

4.Look at your cloths, your mother’s saris/shawls, rugs and mats. Can you identify some patterns? Draw them in your notebook.
Ans. Make two or three designs which usually appear on cloths, your mother’s saries/ shawls, rugs and mats.

5.Complete the following tiling pattern.

Ans. Complete pattern is as under:

6.Complete this pattern. Compare it with the pattern on page 70 which also uses six sided shapes. What is the difference between the two?
Ans. Here hexagons are interconnected with each other sides directly whereas here two triangles appear between the hexagons.

7.Khushboo and Hariz live in Agra. One day they went to see the Taj Mahal. The floor had the pattern shown below:

What do you think? Discuss with your friends.
Ans.I think only one type of tile has been used but their placements differ.

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NCERT Solutions for class 3 Mathematics Chapter-6 Fun With Give and Take

Cricket Match
1.Ina cricket match, Sri Lanka made 235 runs. India has made 123 runs. How many more runs does India need to win?
Ans.To win India must make 236 runs.
Runs India needs to win = 236 – 123
Runs needed =113

To win India must make 113 runs.

Try it Yourself
1.Geeta had Rs 368 in her purse. She bought a book for Rs 123. How much money is left in her purse?
Ans.

Can you help Nabeela?
1.Nabeela’s mother sent her to the market to buy some things. She gave her Rs 245. Nabeela bought 1 kg ghee for Rs 127. The shopkeeper gave her back Rs 98. Did the shopkeeper give her the right amount? (Kilogram is written as kg)
Ans.

2.How much more money should the shopkeeper give Nabeela?
Ans.The shopkeeper had to give Nabeela = Rs 118
But he gave her back = Rs 98
More money should the shopkeeper give to Nabeela

Practice Time
1. Arvind has read 69 pages of a story book. Gauri has read 95 pages of that story book. Who has read more pages and how many more?
Ans.Gouri has read = 95 pages
Arvind has read = 69 pages

So, Gouri has read 26 pages more than Arvind.

2.Reena noted the electricity meter readings of her house.
Last month’s reading was 118 units. This month’s reading is 193 units. How much electricity did she use in one month?
Ans. This month’s reading = 193 Last month’s reading =118

So, she used 75 units of electricity in one month.

3.Solve the following:

Ans.

4.Fill in the missing numbers in the coloured boxes

Ans.

Let’s Deliver Letter
1.Postman uncle is ill today. Let’s deliver the letters for him.

Write the correct room numbers on the letters. Then find the rooms in the above building and circle them. Make a circle on room 455.
Ans.

2.Find the Missing Numbers
Look at the number patterns. Write the missing numbers.
(a)100, 200, 300,——–,——–, 600,——–
(b)——–, 900, 800, 700,——–,——–,400,——–
(c)50, 100,150, 200,——–, ——–, ——–, ——–
(d)300,250,200,——–,——–,——–
(e)——–,25, 35, 45,——–,——–,——–
(f) 280, 260,240,——–,——–,——–,——–
(g) 125,150, 175, 200,——– , 250,——–,——–
Ans. (a) 100. 200. 300. 400. 500. 600. 700 .
(b)1000, 900, 800, 700, 600, 500, 400,300.
(c)50,100,150, 200,25Q, 300, 350, 400.
(d)300,250,200,150,100,50.
(e)15, 25, 35, 45, 55, 65.
(f)280, 260, 240,220,200, ISO, 160,
(g 125,150,175, 200, 225, 250, 275, 300.

Practice Time
1. Indu’s pencil is 15 cm long. Jyoti’s pencil is 8 cm long. Whose pencil is longer? How much longer?
Ans.Indu’s pencil =15 cm
Jyoti’s pencil = – 8 cm
=7 cm
So, Indus’s pencil is longer by 7 cm.

2.Ask your Papa or Mummy, price of 1 kilo salt——–. Price of 1 kilo sugar——–.Which one is more costly? How much more does it cost?
Ans.Price of 1 kilo sugar =Rs 2 2 (say)
Price of 1 kilo salt =Rs- 1 (say)
=Rs 12
So, sugar cost more than salt by Rs 12.

3. Ajay cooked chapattis in 25 minutes. Then he made daal in 15 minutes. How much time did he take to cook both things?
Ans. Time taken to make chapattis = 25 minutes
Time taken to make daal = + 15 minutes
=40 minutes
Total time taken to make both things is 40 minutes.

4. Chanchal sells school sweaters. In 2 days she sold some red, blue and grey coloured sweaters.

Look at the above and answer the following:
(а)How many grey sweaters did Chanchal sell in 2 days?
(b)Did she sell more red sweaters than blue sweaters in 2 days?

Ans.

5.

Ans. Yes, it can be found without using paper and pencil.

All the JKing’s Horses
1.How many of the king’s horses were taken away?
Ans. Four of the king’s horses were taken away by the clever visitor.

Puzzle
1.What numbers are we? If you add us both you get 100. The difference between us is also 100.
Ans. 100 + 0 = 100 and 100 – 0 = 100
So, one number is 100 and the second number is 0.

The post NCERT Solutions for class 3 Mathematics Chapter-6 Fun With Give and Take appeared first on Learn CBSE.

NCERT Solutions for class 3 Mathematics Chapter-7 Time Goes On

Ulta Pulta Time
1.This is a story with topsy turvy time.
As the sun sets———Sumana wakes up. What a lovely evening!———. She washes her face fast in 2 hours———and runs out. She goes straight to the bird’s nest. She has been watching the eggs for the last few months———.She was waiting for the baby birds to come out. But before she can blink her eyes, in a week———a cat jumps on to the tree. The mother bird cries loudly and Sumana rushes to shoo away the cat. As the cat jumps, it hits the big green mango. Dhum!
In two days———it is on the ground! Oh, how sad! The mango is still not fully ripe. It needed one more year——— to become sweet. Suddenly Sumana’s sister calls but—Are you still not hungry? Has your stomach clock gone to sleep? Come and eat hot upma for dinner——— .
Wasn’t that funny? You must have guessed that the coloured words are wrong. Choose the correct word from the box given below and write it next to the wrong word.

Ans.This story certainly looks funny. Clearly, the coloured words are wrong. Choosing the correct word from the given box and writing the same at the appropriate place, the story should be read as under:
As the sun rises Sumana wakes up. What a lovely morning! She washes her face fast in 2 minutes and runs out. She goes straight to the bird’s nest. She has been watching the eggs for the last few days. She was waiting for the baby birds to come out. But before she can blink her eyes, in a moment a cat jumps on the tree. ’The mother bird cries loudly and Sumana rushes to shoo away the cat. As the cat jumps, it hits the big green mango. Dhum!
In two seconds it is on the ground! Oh, how sad! The mango is still not fully ripe. It needed one more week to become sweet. Suddenly Sumana’s sister calls out— Are you still not hungry? Has your stomach clock gone to sleep? Come and eat hot upma for breakfast.

How Long does it Take?
1.Have you seen someone knitting a sweater? Or someone weaving a cloth? Do try to find out from a potter how long it takes to make a pot. Also tell us if you take hours or minutes to have your bath. (Is it years since you last had a bath? Ha, ha!). Think of many different things that can take different times. Make your table as long as you can.

Ans. The required table is as under:

2.Think of some other things, some faster and some slower. Make a long list.
Ans.

3.How many of you can speak and stamp at the same time.
Ans. Most of us can speak and stamp at the same time.

How Old are We?
Puzzle
1. Irfan’s mother is twice as old as him. She is also 20 years older than him. Guess the ages of Irfan and his mother.
Ans. Irfan’s age is 20 years and his mother’s age is 40 years.

Birth Certificate
1.Look at the birth certificate of bincy.

Ans.From the given certificate, we find:
(i) 2nd of May (ii) 6 years (iii) 50 years
(iv)2 May 2010 (v) 3 months (vi) 7 years
(vii) 3 months and 3 days (viii)815/02.

1.Find Out
•When were you born? .
•Write your date of birth in numbers.
•Do ybu have a birth certificate? Ask your parents and make one for yourself?
Ans. (a)12 Oct. 1993.
(b)12.10,1993.
(c)Yes, I have my birth certificate and it is as under

2.look at the calendar for the year 2006.
(i)How many months does a year have?———-
(ii)List the months which have 30 days. ———-
(iii)List the months which have 31 days.———-
(iv)How many days does the month of February have?———-
(v)How many days make a week?———-
(vi)How many weeks are there in July?———-
Is it true for all the months? ———-
(vii)In which month did you come to class III?———-
(viii)Make a circle on these dates in the Calender:
26th January, 14th November, 31st December.
Is there something special about these dates?
Ans. (i)Twelve.
(ii)April, June, September, November.
(iii) January? March, May, July, August, October, December.
(iv)28 or 29 (in the leap year).
(v)Seven.
(vi)Four, yes.
(vii) In the month of April.
(viii) Do as directed.
Yes, 26th January is Republic Day.
14th November is Children Day.
31st December is New Year Eve.

3.Fill in the blanks with the correct year:
2005, 2008, 2007, 2004, 2009, 2010
(i)Which year was it two year back?———-
(ii)In which year were you in class II? ———-
(iii)Which year will be the next year?———-
(iv)Which year will come after 3 years?———-
Ans. (i) 2004 (ii) 2005 (iii) 2007 (iv) 2010.

Which Festival Comes First?
1.Given below are some festivals we celebrate during the year. Look at the calendar (2006) to find the days on which these fall.
Ans.

2.Arrange the festivals in the order in which they come in the year.
Ans. 1. Pongal 2.Guru Ravidas’s Birthday
3.Milad-Ul-Nabi 4.Bihu
5.Raksha bandhan 6.Onam
7.Gandhi Jay anti 8.Diwali
9.Guru Nanak’s Birthday 10.Christmas Day.

3.Which festival comes in the beginning of the year?
Ans. Pongal.

4.Which festival comes at the end of the year?
Ans. Christmas.

Calendar Magic
Here is the calendar for the month of February 2007. Let us mark a square on the calendar and see some magic.February 2007

1.Which is the number in the centre of the square?
Ans. 13.
Join three numbers by drawing a line. The line must pass through the number at the centre.

2.How many such lines can you draw?
Ans. Four such lines can be drawn.

3.Add the three numbers on each of these lines. What do you notice?
Ans. 5 + 13 + 21 = 39 6 + 13 +20 = 39
7 + 13 + 19 = 39 12 + 13 + 14 = 39
On adding these numbers, it is noticed that the total of each such line is the same.

4.Now look at the calendar of 2006. Also look for the present month and draw any similar square in your notebook. Does the magic work for these?
Ans.The calendar of February 2006 is as under:
February 2006

Number 14 is in the centre of the square. On joining three numbers in a line we have.
On adding these numbers, we get
6 + 14 + 22 = 42
7 + 14 + 21 = 42
8 + 14 + 20 = 42
13 + 14 + 15 = 42
The total of each line is the same. Yes, the magic also works here.

5.Is this magic possible on a 10 x 10 number chart. Go to the Chapter ‘Fun with Numbers’ and check.
Ans. Let us select any two squares

In the first square we have
31 + 22 + 13 = 66
32 +’22 + 12 = 66
33 + 22 + 11 = 66
21 + 22 + 23 = 66
Therefore, magic works.
In the second square, we have
61 + 52 + 43 + 34 + 25 = 215
63 + 53 + 43 + 33 + 23 = 215
65 + 54 + 43 + 32 + 21 = 215
41 + 24 + 43 + 44 + 45 = 215
Therefore, magic also works here.

Complete the Calendar for August 2006

(i)Colour all the Sundays in red.
(ii)On which day does this month end?
(iii)Write the number of days in this month.
(iv)What day is it on 13th August?
(v)What is the date on second Saturday?
(vi)Is the 21st a Sunday?
(vii)What is the day on the 29th?
(viii)What will be the date on the same day next week?
(ix)How many Thursdays are there in this month?
Ans. Complete Calendar for August 2006 is as under:

(i)Do as directed. (ii)Thursday (iii)31
(iv) Sunday (v)12th (vi)No
(vii)Tuesday (viii)5th September (ix)Five.

Find Out!
(i)Which months in the calendar (2006) have 5 Sundays?
(ii)Is there any other day in any month which comes 5 times?
(iii)Can there be 6 Sundays in a month? Why?
Ans. (i) The months of January, April, July, October and December in the calendar 2006 have 5 Sundays.
(ii)Sunday, Monday, Tuesday in January 2006 comes 5 times.
Wednesday, Thursday, Friday, in March 2006 comes 5 times.
Sunday, Saturday in April 2006 comes 5 times.
Monday, Tuesday, Wednesday in May 2006;
Thursday, Friday in June 2006;
Sunday, Monday, Saturday in July 2006;
Tuesday, Wednesday, Thursday in August 2006;
Friday, Saturday in September 2006;
Sunday, Monday, Tuesday in October 2006;
Wednesday, Thursday in November 2006 and
Sunday, Friday, Saturday in December 2006 comes 2 times in these months.
(iii) Six Sundays cannot fall in a month as there are 4 or 5 weeks in a’month.

The True Story of Pedki Devi
1.Some things that happened in her life are given below. Mark these on her time line. For example, when she was 5 years old Pedki broke her foot. A is marked at 5 on the time line.
(A) Broke her foot (B) Lost one goat
(C) Got married (D) Had her fourth child
(E) First saw a police station (F) Learnt to read and write
(G) Eldest daughter got married.
Ans. After making the events on her time line. It will be as under:

2.Mark on the time line when she was born.
Ans. Position on line is marked as point P.

3.Make your own time line. Ask people around you and mark at least one thing that happened in each year of your life.

Ans.Events are marked against each year

One Day in the Life of Kusum
Let’s see what Kusum does every day.
Write down the time for each picture.
For some pictures the time is already written and you must draw the hands on the clock. On others you have to write the time shown by the clock.




1.Now prepare a chart showing your own daily routine.
Ans.

The post NCERT Solutions for class 3 Mathematics Chapter-7 Time Goes On appeared first on Learn CBSE.

NCERT Solutions for class 3 Mathematics Chapter-8 Who is Heavier ?

Gur (Jaggery) and Groundnuts
1.Are the groundnuts really more than the jaggery (gur) in weight or do they just look more?
Ans. The groundnuts are not really more than the jaggery in weight but they just look more.

2.Now, guess, for which of these you need a bigger bag.
(i)1 kg popcorn or 1 kg sugar?
(ii)1 kg peas or 1 kg potatoes?
Go to the market and check if your guess is right.
Ans. (i) For 1 kg popcorn, we need a bigger bag.
(ii) For 1 kg peas, we need a bigger bag.

Pumpkin Tomato ‘Panga’
1.How many small tomatoes do you think could lift the pumpkin up?
Ans.About thirty five to forty small tomatoes are enough to lift the pumpkin up.

2.How many big mangoes can balance the pumpkin?
Ans.About twenty big mangoes may balance the pumpkin.

3.How many pumpkins can balance you on the see-saw?
Ans.About ten pumpkins can balance me on the see-saw.

4.Name some of your classmates who you think weigh.
(a)Almost the same as you.————
(b)More than you. ————
(c)Less than you.————
Ans.(a)Almost same as me: Arjun, Saurav, Swarnim.
(b)More than me: Rahul, Rakesh, Ahmad
(c)Less than me: Ramesh, Suresh, Akhilesh, Shailendra.

5.How many books can you lift on one hand keeping your arm straight?
Ans.I can lift five books on one hand; keeping my arms straight.

Yum-yum Rice
1.Help him match the things with their right amounts.
Ans. Correct amount of the things are as follows:

Activity Time
1.Make a list of things bought at your home. Find out how much of each thing is bought at one time. These things can be rice, oil, chilli powder, sugar, milk, onions, ginger, etc.

I.Guess their weigh and match
(i) Brief-case — 10 kg
(ii) Mango – — less than 1 kg
(iii) Cow — 400 kg
(iv) Elephant — more than 1000 kg
(v) Wheat — 80 kg
(vi) Puppy — 2kg
II.Guess which of the following things weigh more than 1 kg? Which ones weighs less than 1 kg?
(i) Your school bag (ii) Geometry box
(iii)A brick (iv) A big pumpkin
(v)Your pair of slippers/shoes.
Ans. Things which weigh more than 1 kg are
(i) A school bag, (ii) A brick (iii) A pumpkin.
Things which weigh less than 1 kg
(i) Geometry box (ii) Slipper/shoes.

1.Bring a balance and a 1 kg weight to class. Check if your guess was right.
Ans. On checking by a balance, I found my guess was correct.

2.Use your balance to find which of the following is heavier:
(i)A water bottle or a cricket ball.
(ii)Your shoes or your pencil box.
(iii)Your Maths book or your Hindi book.
(iv)Your bag or your friend’s bag.
Ans. (i) A cricket ball is heavier than water bottle.
(ii)My shoes are heavier than my pencil box.
(iii)My Maths book is heavier than my Hindi book.
(iv)My bag is heavier than that of my friend.

3.Make a list of:
(i)Things weigh less than half kg.
(ii)Things weigh more than half kg.
Ans. (i)Things weigh less than half kg are:
Socks, watch, belt, spectacles, slipper, gloves, etc.
(ii)Things weigh more than half kg are:
Fan, chair, table, cot, television, etc.

Look for Weights and Balances
1.Make a trip to your nearest junk dealer, vegetable shop and grocery shop. Have a look at the weights they use. Find out:
(i)Who uses the biggest weight?
(ii)Who uses the smallest weight?
Ans.(i) A junk dealer uses the biggest weight.
(ii) The smallest weight is used in a grocery shop.

2.Have you seen any of these balances?
Ans. I have seen each type of these balances.

3.In which shop would you find the following types of weights? Discuss with your friends.

Ans. I have seen such weights in stores which sell grains.

The post NCERT Solutions for class 3 Mathematics Chapter-8 Who is Heavier ? appeared first on Learn CBSE.

NCERT Solutions for class 3 Mathematics Chapter-9 How Many Times ?

Find the Number without Counting
1.In the same way, how many bottles are these?

Ans. 4 times 5 = 20 bottles.

2.How many eggs?

Ans. 6 times 5 = 30 eggs.

Practice Time
A.Rewrite using the + sign.
2 x 5 is 2 times 5 or 5 + 5
4 x 18 is 4 times 18 or 18 + 18 + 18 +18
3 x 20 is 3 times 20 or 20 + 20 + 20
8 x 9 is 8 times 9 or 9 + 9 + 9 + 9 +9+9+9+9
B.Tell how many times!
9+9+9+9+9+9=6×9=54
4+4+4+4+4=5×4=20
8 + 8 + 8 = 3×8 = 24
3 + 3 + 3 + 3 + 3 + = 5×3 = 15
30 + 30 + 30 = 3 x 30 = 90
7+7+7+7+7+7=6×7=42
12 + 12 + 12 + 12 = 4 x 12 = 48
6 + 6 + 6 = 3×6 = 18
10 + 10 + 10 + 10 = 40
4 x 10 = 2+2+2+2+2=5×2=10
6+6+6+6+6+6+6=7×6=42

1.Ramu bought 4 packets of biscuits. Each packet has 4 biscuits. How many biscuits did Ramu buy?
Ans. 4 x 4 = 16 biscuits.

2.There are 12 desks in the classroom. Each desk has 4 legs. What is the total number of legs of the desks?
Ans. 12 x 4 = 48 legs.

3. Sahiba brought home 3 bunches of flowers. Each bunch has 4 flowers. How many flowers were there?
Ans. 3 x 4 = 12 flowers.

4.One rail coach has 8 wheels. How many wheels in all in 6 coaches?
Ans. 6 x 8 = 48 wheels.

Stick Play
Mithu had some sticks. She arranged them like this:
1 time 5 = 5,
2 times 5 = 10
3 times 5 = 15,
4 times 5 = 20

Then she counted how many times the sticks were crossing each other. She found that 4 times 5=4 x 5=20

1.Now draw sticks to make the multiplication table of 6:
Ans.1 x 6 = 6
2 x 6 = 12
3 x 6 = 18
4 x 6 = 24
5 x 6 = 30
6 x 6 = 36
7 x 6 = 42
8 x 6 = 48
9 x 6 = 54
10 x 6 = 60

Practice Time
1.Complete the following:
Ans.2×7 = 14 3×9 = 21
5×2=10 5×8 = 40
10×6 = 60 2×8 = 16
10×8 = 80 4×9 = 36 3×10 = 30 5×9 = 45

2.Look at the patterns and complete them.
Ans.3, 6, 9, 12,15, 18
2, 4, 6, 8, 10,12
10, 20, 30,40, 50,60
4, 8, 12,16,20, 24
5, 10,15,20, 25,30
30,60,90,120,150, 180

3.Complete the multiplication tree.
Ans.

4.How many in all?
(i)The almirah has 4 shelves. There are 5 books in each shelf. How many books are in the almirah?
Ans. 4 x 5 = 20 books.
(ii)A shirt has 5 buttons. How many buttons would 3 shirts have?
Ans. 5 x 3 = 15 buttons.
(iii)There are 4 fans. Each fan has 3 blades. What is the total number of blades in all?
Ans. 4 x 3 = 12 blades.
(iv)A box contains 6 apples. How many apples in all will seven boxes have?
Ans. 6 x 7 = 42 apples.
(v)How many corners would 4 triangles have?
Ans. 4 x 3 = 12 corners.

5.Some Multiplication Facts
Ans.(i)8 x 3 = 24 (ii) 5 x 7 = 35 , (iii) 3 x 4 = 12

Multiplying Big Numbers
1.Two toffees were given to each student in the class. If there were 34 students, how many toffees were given in all?
Ans. Total number of students = 34 Each student gets 2 toffees.
So, total number of toffees = 34 x 2

So, 34 times 2 is 68.

2.In a picnic 4 fruits were given to every student. The number of students was 23. Find out the total number of fruits given.
Ans. Number of students in the picnic = 23
Number of fruits given to each student = 4
Total number of fruits = 23 x 4

So, 23 times 4 is 92.

Practice Time
1.Multiply:
(i) 22×3 =——— (ii) 43×2 = ——— (iii) 21×4 =———
(iv) 24 x 2 =——— (v) 11×5 =——— (vi) 30 x 5 =———
(vii) 20 x 4 =——— (viii) 23 x 9 =——— (ix) 26 x 4 =———
(x) 38 x 2 =——— (xi) 25 x 3 =——— (xii) 24 x 5 =———
(xiii) 35 x 3 =——— (xiv) 48 x 4 =——— (xv) 32 x 5 =———
(xvi) 58 x2 =———
Ans. (i) 22 x 3 = 20 x 3 + 2 x 3 =60 + 6= 66
(ii)43×2 = 40×2 + 3×2 =80 + 6= 86
(iii)21 x 4 = 20 x 4 + 1 x 4 = 80 + 4 = 84
(iv)24 x 2 = 20 x 2 + 4 x 2 = 40 + 8 = 48 ”
(v)11 x 5 = 10 x 5 + 1 x 5 = 50 + 5 = 55
(vi)30 x5 = 150
(vii) 20 x4 = 80
(viii)23×9 = 20×9 + 3×9 = 180 + 27 = 207
(ix)26 x 4 = 20 x 4 + 6 x 4 = 80 + 24 = 104
(x)38 x 2 = 30 x 2 + 8 x 2 = 60 + 16 = 76
(xi)25 x 3 = 20 x 3 + 5 x 3 = 60 + 15 = 75
(xii)24 x 5 = 20 x 5 + 4 x 5 = 100 + 20 = 120
(xiii)35×3 = 30×3 + 5×3 = 90 + 15 = 105
(xiv)48 x 4 = 40 x 4 + 8 x 4 = 160 + 32 = 192
(xv) 32 x 5 = 30 x 5 + 2 x 5 = 150 + 10 = 160
(xvi)58 x 2 = 50 x 2 + 8 x 2 = 100 + 16 = 116.

2.First guess the answer and then calculate:
(i)A flower has five petals. A bunch of flowers has 13 flowers. How many petals are there in a bunch?
Ans. Guess: 13 is more than 10 and less than 20 10 times 5 is 50 20 times 5 is 100
So, 13 times 5 is between 50 and 100
Calculation:13 x 5=10×5+3×5
=50+15=65
Hence, there are 65 petals in the bunch.

(ii)A book has 64 pages. What will be the total number of pages in 8 such books?
Ans. Guess: 64 is more than 60 and less than 70 60 times 8 is 480 70 times 8 is 560
So, 64 times 8 is between 480 and 560 Calculation:
64 x 8
= 60×8 + 4×8 = 480 + 32 = 512
Hence, there are 512 pages in 8 books.

(iii) Students stand in rows in the assembly. There are six rows of students. Each row has 17 students. How many students are there?
Ans. Guess: 17 is more than 10 and less than 20 10 times 6 is 60 20 times 6 is 120
So, 17 times 6 between 60 and 120
Calculation: ”
17×6
= 10×6 + 7×6 = 60 + 42 = 102
Hence, there are 102 students in 6 rows.

(iv) A design has 3 flowers in it. A piece of cloth has 17 such designs. How many flowers will be on the cloth?
Ans. Guess: 17 is more than 10 and less than 20 10 times 3 is 30 20 times 3 is 60
So, 17 times 3 is between 30 and 60 Calculation:
17 x 3
= 10×3 + 7×3 = 30 + 21 = 51.

Multiplication Patterns
9×1 = 9
9 x 2 = 18     1 + 8 = 9
9 x 3 = 27     2 + 7 = 9
9 x 4 = 36     3 + 6 = 9
9 x 5 = 45      4 + 5 = 9
9 x 6 = 54       5 + 4 = 9
9 x 1 = 63        6 + 3 = 9
9 x 8 = 12        1 + 2 = 9

1.Did you see the pattern in the 9 times table? What numbers are adding up to 9?
Ans. The 9 times table shows a certain pattern. Digit sum of the products is always

2.Complete the grid by multiplying the numbers.

Look at the cross in your grid.
Add the numbers together from top to bottom.
3 + 6 + 9 = 18
Add the numbers together from left to right.
4 + 6 + 8 = 18
The total is the same.
Ans. The complete grid is as follows:

Let us add numbers as follows:
6 + 12 + 18 = 36 10 + 12 + 14 = 36 9 + 18 + 27 = 54 16 + 18 + 20 = 54 8 + 10 + 12 = 30 5 + 10 + 15 = 30
In each crosses the total remains the same.
•Mark the numbers 1 – 10 in the same grid in one colour. •’ Mark the numbers 12 – 20 in another colour.
• imilarly, mark 21 – 30 in a third colour.

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NCERT Solutions for class 3 Mathematics Chapter-10 Play With Patterns

Around Us
1.Look around you and list three things in which you find some patterns.
Ans. Staircase, Zebra crossing, Railing in a balcony.

2.Draw some patterns which you have found around yourself.
Ans.

3.Can you see a pattern in the way each block is repeated?

Ans. Yes, I can see that one block is placed upwards and the next is placed downwards.

Practice Time
Given below are some patterns.
1.Figure out the rule for each and continue the pattern.
Ans. (a) In this pattern; the colour of the pot changes from red to blue and then to red at each step.
(b) In this pattern A is written twice, followed by B written once.
AABAABAAB
(c)In this pattern; the number of petals increases from 1 to 3 and to 5. After that this sequence is repeated.
(d)In this pattern the blue colour is moving apticlockwise in steps of one.
(e) In this pattern; the figure is rotating clockwise in steps of one.
(f) In this pattern; the sequence of morning, afternoon, evening and night is repeated.
Morning, Afternoon, Evening, Night, Morning, Afternoon, Evening, Night

Growing Patterns
1.Can you see the rule and continue the pattern?
Ans. In this pattern; the number of marks in the oval is growing by one. After halfway mark the figure gets inverted.

Number Patterns
1.We have made some patterns with pictures. We can make patterns with numbers too. Like
21, 41, 61, 81, 101, 121
You know the next number, don’t you?
This series is growing by 20.
21, 41, 61, 81, 101,121, 141, 161, 181,
A.Look for the rules and continue these growing patterns:
(a)51, 56, 61, 66,————– ,———— ,————-
(b)7,————- ,21,28,35,————- ,————- ,————-
(c)2, 4, 8, 16, 32,————- ,————- , ————-
(d)12 A, 13 B, 14 C,————- ,————- ,————-
Ans. (a) 51, 56, 61, 66, 71, 76, 81, 86
(6) 7, 14, 21, 28,35, 42, 49, 56
(c) 2, 4, 8,16, 32, 64, 128, 256
(d) 12 A, 13 B, 14 C, 15 D, 16 E, 17 F.

B. Look at these growing patterns. Find out what to add to each number to get the next one.
(a)1, 3, 6, 10,———- ,————- ,————–
(b)0, 2, 6, 12,———- ,———–,————–
(c)1, 3, 7, 13,————–,———–, ————-
(d)2, 3, 6, 11,18,———— ,———–,————-
Ans. (a) Following sequence is observed in this pattern:
1 + 2 = 3 3 + 3 = 6 6 + 4=10
The number which is added in each step is growing by 1 Hence the pattern is as follows:
1, 3, 6,10, 15, 21, 28, 36, 45
(b)Following sequence is observed in this pattern:
0 + 2 = 2 2 + 4 = 6 6 + 6 = 12
The number which is added in each step is growing by 2.
Hence the pattern is as follows:
0, 2, 6, 12, 20, 30, 42, 56, 72
(c)Following sequence is observed in this pattern:
1 + 2 = 3
3+4=7
7 + 6 = 13
The number which is added in each step is growing by 2 Hence the pattern is as follows:
1, 3, 7, 13, 21, 31, 43, 57, 73 ’
(d) Following sequence is observed in this pattern:
2 + 1 = 3
3 + 3 = 6 6 + 5 = 11 11 + 7 = 18
The number which is added in each step is growing by 2 Hence the pattern is as follows:
2, 3, 6, 11, 18, 27, 38, 51, 66

Secret Messages
Amrita and Paritosh are writing secret messages:
3W3H3E3R3E 3A3R3E 3Y303U
3 I3 N 3T3H3E 3C3A3N3T3E3E3N
1.Can you tell what they are trying to say?
Ans. Following are the secret messages:Where are you?
In the canteen

3.There are two secret messages. Look at the patterns and find the hidden sentences.
1I2L204V5E6Y708U
Ans. The message is:I LOVE YOU

4.ATBHCIDSEBFOGOHKIIJSKFLUMN
Ans. The message is:
THIS BOOK IS FUN

5.Now you also make your own secret messages.
Ans.1 I 2 L 3 O 4 V 5 E 6 I 7 N8D9I10A I LOVE INDIA
AMBACNDMEOFHGAHNILJIKVLEMSNAOTPDQERLS
HTI
MANMOHAN LIVES AT DELHI

Even aiyd Odd Number Patterns

Half these numbers are in yellow. What patterns do you see in these numbers? Continue the same pattern and fill in the blanks:
96, 98,100,102,104,106, IQS, 110,112,114
1.How far can you continue this pattern?
Ans. This pattern can be continued endlessly.
These numbers have a special name. They are called even numbers.

2.Do any of these even numbers end with 3 or 5?
Ans. None of the even numbers end with 3 or 5.

3.What do even numbers end with?
Ans. Even numbers end with 2, 4, 6, 8 or 10.

4.Look at the pattern of numbers in blue. Continue the pattern and fill in the blanks.
Ans. 99,101,103,105,107,100, 111, 113,115

5.What do the numbers in blue end with?
Ans.The numbers in blue end with 1, 3, 5, 7 or 9.

6.Write all odd numbers between 400 and 410.
Ans. 401, 403, 405, 407, 409.

7.Write all even numbers between 155 and 165.
Ans. 156,158,160,162,164.

8.If we add 1 to any odd number we get an————(even/odd) number.
Ans. If we add 1 to any odd number we get an even number.

9.If we add’l to any even number we get an————(even/odd) number.
Ans. If we add 1 to any even number we get an odd number.

10.What do you get if you add an even number to an odd number?
Ans. Odd number.

Names in an Order
Adil has to arrange this list so that the names starting with A comes first and then come those with B, C, D and so on. Number these names in the order in which they will come.

Jalaj is proud to have a special name. He says if you read it backwards it is still the same.
1.Which of the following names have the same pattern?
Harsh, Anna, Kanak, Munna, Ongbi
Ans. Anna and Kanak.

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NCERT Solutions for class 3 Mathematics Chapter-11 Jugs and Mugs

Water in Water Out?
1.About how many glasses of water do you drink in a day?
Ans. During summer I drink about 10 glasses of water in a day. During winter I drink about 5 glasses of water in a day.

2.Can you guess how much water goes out of you?
Ans. I guess about half of the water, taken by me, goes out of my body.

Whose Jug Holds More?
1.What are Naima and Jeetu doing?
Ans. Naima and Jeetu are pouring water in jugs.

2.What do you think?
Ans. I think Naima is right. She needs to pour around 3 glasses of water to fill the jug.

3.Whose jug holds more water?
Ans. Jeetu’s jug holds more water.

4.How many glasses of water do you think Jeetu should pour to fill his jug?
Ans. Four glasses of water.

Fill in the blank:
If Jeetu pours one more glass of water his jug will be around half full.

Filling Pots
1.Why did Naseem go more times than Abdul?
Ans. Naseem’s bottle is smaller in size and so she had to go more number of times.

2. Naseem’s bottle can hold———– (twice/half/three times) as much water as
Abdul’s bottle.
Ans. Nassem’s bottle can hold half as much water as Abdul’s bottle.

How Many Glasses?
1.Pot B holds 11 glasses of water. Pot A holds twice as much water as pot B. How many glasses of water are needed to fill pot A?
Ans. 11 x 2 = 22 glasses of water.

Filling Potholes

Mark A, B, C on the right hole in the picture.

1.Which is the biggest pothole?
Ans. ‘B’ is the biggest pothole.

2.If jugs are used, hole A gets filled with 5 jugs. How many jugs of pebbles are needed to fill hole B?
Ans. Pot B needs double the amount of pebbles than pot A
So, 5 x 2 = 10 jugs of pebbles are needed to fill hole B.

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NCERT Solutions for class 3 Mathematics Chapter-12 Can We Share ?

Share the Grains
1.Mummy bird brings 12 grains.
How to distribute equally?
Mummy bird starts by giving 1 grain to each baby. Then mummy bird gives one more grain to each baby. Each baby has got 2 grains now. How many grains are
Ans. There are 4 baby birds and each baby bird gets 2 grains.
So, number of grains with baby birds = 2×4 = 8
So, number of grains left = 12 – 8 = 4
She puts one more grain in each baby’s mouth. All the grains are finished.
12 grains have been divided among 4 baby birds. Each baby has got 3 grains. 12÷4 = 3

Try These Now
Gopu has 3 plates of jalebis.
Each plate has a different number of jalebis.

Now draw the jalebis on the plates below, so that each plate has the same number of jalebis.

1.How many jalebis are there altogether?
Ans. 1 + 5 + 3 = 9 jalebis.

2.How many jalebis are there in each plate?
Ans. 3 jalebis.

3.Discuss in the class how you found the answer.
Ans. Total number of jalebis = 1 + 5 + 3 = 9
Total number of jalebis is divided into 3 equal parts:
9÷3 = 3
So, each plate gets 3 jalebis.

Sharing Them Equally?
Here are six bananas.
Here are three monkeys.
If they share the bananas equally, each monkey will get 2 bananas.
6 bananas divided into 3 equal parts = 2 bananas each 6 + 3 = 2
If there are six bananas and two monkeys,
Each monkey will get three bananas.
Six bananas + 2 = 3 bananas each.
6 ÷2 = 3

1.If there are 60 bananas and two monkeys, how many will each monkey get?
Ans. 60 ÷ 2 = 30 bananas
So, each monkey will get 30 bananas.

2.What if there are 600 bananas and two monkeys?
Ans. 600 ÷ 2 = 300 bananas
So, each monkey will get 300 bananas.

Five friends found 10 five-rupee coins on the ground. They shared them equally. Each friend got ten rupees.
50 ÷ 5 = 10
If there are 16 ten-rupee notes and four friends to share, then 16 ÷ 4 = 4 ten-rupee notes and 4 x 10 = 40. So, each friend gets 4 x 10 = 40
rupees.

1.Five friends found ? 100. If they share it equally, how much will each get?
Ans.100÷ 5 = 20.

2. Hari  Prasad has 30 metres of rope.
He distributes it equally among his three children. Each child gets———–metres of rope.
Ans. 30÷3 = 10 metres.

3.If there is 36 metres of rope, how much of rope will each child get?
Ans. 36 ÷ 3 = 12 metres.

4.If there is 60 metres of rope, how much will each child get?
Ans. 60 ÷ 3 = 20 metres.

How Many Shelves?
1.I have 20 books. I can keep 5 books in one shelf, so how many shelves do I need in my almirah?
Ans. 20÷5 = 4 shelves.

Practice Time
1. Minku puts her 15 laddoos equally into 5 boxes.
(i)How many laddoos will there be in each box?
Ans. 15 ÷ 5 = 3 laddoos in each box.
(ii)If she uses only 3 boxes, how many laddoos will there be in each box?
Ans. 15 ÷ 3 = 5 laddoos in each box.

2.Share 25 bananas among 5 monkeys. How many bananas for each monkey?
Ans. 25 ÷5 = 5 bananas for each monkey.

3.Share 12 balloons among 3 boys. How many balloons for each boy?
Ans. 12÷ 3 = 4 balloons for each boy.

4.There are 21 candles. Put them equally in 3 boxes. How many candles are there in each box?
Ans. 21 ÷ 3 = 7 candles in each box.

5.There are 18 socks. How many girls can wear these socks?
Ans. One girl wears 2 socks.
So, 18÷ 2 = 9 girls can wear these socks.
Raj has 36 minutes to make rotis. One roti takes 3 minutes.

6.How many rotis can he make in this time?
Ans. 36 ÷ 3 = 12
So, Raj can make 12 rotis in this time.

7.There are 24 foot marks of goats. So, how many goats are there?
Ans. 1 goat will make 4 foot marks , So, 24 -r 4 = 6 goats are there.

8.Some girls are playing a game with both their hands. The girls,“who are playing, ! have 60 fingers; altogether. How many girls are playing this game?
Ans. Each girl has 10 fingers.
So, 60 ÷10 = 6 girls are playing this game.

9.Lakshmi has 27 kg potatoes to sell. Three men came and bought equal amounts—————of potatoes. Each man bought kg of potatoes.
Ans. 27 ÷ 3 = 9 kg of potatoes.

Jumpy Animals
1.In how many jumps will the frog reach 30?
Ans. 30÷2 = 15.

2.In how many jumps will the squirrel reach 27?
Ans. 27÷ 3 = 9.

3.Which number will the kangaroo reach in two jumps?
Ans. 30 x 2 = 60

4.Who all will meet at the number 15?
Ans. Squirrel, rabbit, horse.
Explanation: One jump of squirrel is 3 steps and 15 is divisible by 3 One jump of rabbit is 5 steps and 15 is divisible by 5 One jump of horse is 15 steps.
So, all these three animals can meet at the number 15.

5.Will the rabbit ever be at the number 18?
Ans. No.
Explanation: One jump of rabbit is 5 steps and 18 is not divisible by 5. So, rabbit can never reach number 18.

6.How many jumps of the rabbit equal one jump of the horse?
Ans. One jump of horse = 15 steps One jump of rabbit = 5 steps
So, 15÷ 5 = 3 jumps of rabbit equal one jump of the horse.

7.How’ many jumps of the horse equal two jumps of the kangaroo?
Ans. One jump of kangaroo = 30 steps
So, two jumps of kangaroo = 30 x 2 = 60 steps One jump of horse = 15 steps
So, 60 ÷15 = 4 jumps of horse equal two jumps of kangaroo.

8.Which is the smallest number where the frog and the squirrel will meet?
Ans. One jump of frog = 2 steps
One jump of squirrel = 3 steps And, 2×3 = 6
So; the smallest number where the frog and the squirrel will meet is 6.

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NCERT Solutions for class 3 Mathematics Chapter-13 Smart Charts!

Flowers of Different Colours
1.Have you ever been to a park?
Ans. Yes, I have been to a park.

2.What coloured flowers did you see?
Ans. I saw flowers of different colours like yellow, blue, red, orange and purple etc.

3.Were most of the flowers yellow in colour?
Ans. Yes.

What do We See on the Road?
1.Look at the traffic scene in the picture and fill in the table.
Ans.

Answer the following questions:
(а)In the picture which way of travel do you see the most?
Ans. Bus.
(b)Which way of travel (vehicle) do you see the least?
Ans. Bullock-cart.
(c)The number of people walking is more than the number of ———–
Ans. Scooters.
(d)The number of buses is less than the number of————
Ans. People walking.

How Many Times do You Get 6?
1.Have you played any games with dice?
Ans. Yes, I have played many games with dice?

2.How many dots are there on the different faces of a dice?
Ans. There are 1, 2, 3, 4, 5 and 6 dots on the different faces of a dice.
•Throw a die.
•Look at the number of dots you get on the face of your die.
•For each throw draw a mark / in front of that number in the table.
•Throw the die 30 times and mark in the table each time. For example,

(a)Which face of the die did you get the most number of times?
Ans. 2

(b)

Ans. Six .times.

(c)

Ans. No.

Getting Smart with Charts

This board shows the number of students in each class. It also shows the number of students present and absent.
1.How many children in gill are there in the school?
Ans. 121.

2.How many children in all are absent on that day?
Ans. 12.

In the chart show the absent students of class V.
Now look at the chart and fill in the blanks:
(а)The class with the highest number of absent students is IV.
(b)The class with the least number of absent students is II.
(c)The class with 3 students absent is III.
(d)The number of students absent in class IV and class V are 4 and 2.

Practice Time
Make your own smart charts about things around you.
1.Which bird has the most colours?

Ans. The table clearly shows that the peacock has the most colours

2.Which is the animal liked most as a pet?

Ans. This table clearly shows that dog is the animal which is liked most as a pet.

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NCERT Solutions for class 3 Mathematics Chapter-14 Rupees and Paise

Shopping
You can visit this self service store.
A.Without using a pencil or paper, find out the cost of:
•One ball and one toy car Rs 22
•One notebook and two pencils Rs 10
•Two bananas and a glass of milk Rs 6.50
•One doll and a ball Rs 15
•One glass of is lemon juice and a packet of biscuits Rs 7.50
B.Find the total cost of:
•One toy giraffe, one copy and a glass of lemon juice Rs 14.50
•One glass of milk, one packet of biscuits and a banana Rs 9.50
•One notebook, two pencils and two erasers Rs 12
•Two tops, three toffees and two bananas Rs 8.50
C. What can you buy, if you have a twenty rupee note?
•1 toy car, 1 lemon juice, 1 banana
•1 ball, 1 doll, 1 glass milk
•1 toy car, 1 packet of biscuits, 1 toffee
•1 toy car, 1 toy giraffe, 1 glass milk
D.You need to make a cash memo for the things you bought. Before adding, first
guess how much money will be needed. Then find the total and check your guess.
Monu prepared the following cash memos:
Check the cash memos and correct them if you find a mistake.
Ans. Correct memos are given as follows:


E.If you have 30 rupees with you. Find out how much money will be left after buying the following items:

1.One hall, one doll and one toy giraffe.
Ans.Price of one ball = Rs 7.00
Price of one doll = Rs 8.00
Price of one toy giraffe = Rs 6.50
So, total cost = Rs7.00 + Rs 8.00 + Rs 6.50 = Rs 21.50
Money left = Total money – money spent
= Rs 30.0021. 50 = Rs 8.50

2.Two bananas, one pack of biscuits and two glasses of lemon juice.
Ans. Price of 1 banana = Rs 1.50
So, price of 2 bananas = 1.50 x2=Rs 3.00
Price of one pack of biscuit = Rs 4.50
Price of one glass lemon juice = Rs 3.00
So, price of two glasses of lemon juice = 3.00 x2 = Rs 6.00
Total cost = Rs 3.00 + Rs 4.50 + Rs 6.00 = 13.50
Money left = Total money – Money spent = Rs 30.00 – Rs 13.50 = Rs 16.50

3.Three notebooks, two pencils and two erasers.
Ans. Price of 1 notebook =Rs 5.00
So, price of 3 notebooks =Rs 5.00 x 3 = Rs 15.00
Price of 1 pencil =Rs 2.50
So, price of 2 pencils = Rs 2.50 x 2 = Rs 5.00
Price of 1 eraser = Rs 1.00
So, price of 2 erasers = Rs 1.00 x 2 = Rs 2.00
Total cost= Rs 15.00 + Rs 5.00 + Rs 2.00 = Rs 22.00

Practice Time
A.Three friends wanted to buy a cricket bat and ball. Bina had Rs 48.50, Raman had Rs 55.50 and Venu had Rs 38.00. How much money did they have in all?
Ans. They had X 142.00 in all.

B. Hari booked a railway ticket for Rs 62.50. He gave a 100 rupee note. How much money will he get back with the ticket?
Ans.

C. Gita and her friend went shopping. She bought things for Rs 58, Rs 37 and Rs 22. Gita had a hundred rupee note. How much money should she borrow from her friend to pay the bill?
Ans. Gita needs to pay the following amount:

Now she needs to borrow following amount:

Train Journey
This train goes from New Jalpaiguri to Guwahati. On its way, it stops at New Mai, Alipurduar and Goalpara stations.
The cost of a rail ticket to different stations is given in the table.

Find The Distance
(а)From New Mai to Guwahati 495 km – 57 km = 438 km
(b)Between New Mai and Goalpara 666 km – 57 km = 309 km
(c)From Alipurduar to Guwahati 495 km – 175 km = 320 km
(d)Between New Mai and Alipurduar 175 km – 57 km = 118 km
(e)From Goalpara to Guwahati 495 km – 366 km = 129 km

Find The Cost of Tickets
(a) Bhupen is going from New Jalpaiguri to Alipurduar. What is the cost of his ticket?
Ans.Rs 28.00
(b) Indra has to go from New Jalpaigurei to Goalpara. How much does she pay for the ticket?
Ans. Rs 49.50
(c) Debu, Shoma and Gobind are goind from New Jalpaiguri to New Mai. What amount will they pay for three tickets? They gjve aRs 50 note for the tickets. How much money will they get back?
Ans. Cost of 1 ticket from New Jalpaiguri to New Mall =Rs 12.50 So, cost of three tickets = Rs 12.50 x 3 = 37.50 Money given – Money spent = Money got back or, Rs 50 – Rs37,50 = Rs 12. 50 They will get back Rs 12.50.

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NCERT Solutions for Class 5 Hindi Chapter-14 बाघ आया उस रात

प्रस्ना – अभ्यास

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NCERT Solutions for Class 5 Hindi Chapter-15 बिशन की दिलेरी

प्रस्ना – अभ्यास

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NCERT Solutions for Class 5 Hindi Chapter-16 पानी रे पानी

प्रस्ना – अभ्यास

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