Bhagya

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.

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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-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-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:

2. 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-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 blanks (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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