Chapter 1 – Where to Look From

Chapter 1 – Where to Look From

Question 1:

Have you looked at things from different sides? Do they look the same or different?

Answer:

Yes, I have looked at things from different sides. They look different when seen from different sides.

.Question 2:

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

Answer:

From the side, the table looks like this

From the top, the table looks like this

Page No 2:

Question

Here are some pictures. Find out from where you have to look to see the things this way.

Answer:

Page No 4:

Question 1:

Copy these shapes on the dot grid. Note that some lines in the shapes are straight and some are not.

Answer:

Disclaimer: Students are advised to prepare the answer on their own.

Page No 5:

Question 1:

Use the dot grid given below to draw your own designs and shapes.

Answer:

Some designs and shapes are given below.

Disclaimer: The answer may vary from student to student. It is highly recommended that the students prepare the answer on their own.

Question 2:

Complete these figures to make squares and rectangles.

Answer:

Page No 6:

Question 1:

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

Answer:

Page No 8:

Question 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.

Answer:

Page No 9:

Question 1:

Look at the pictures given below. Does the dotted line divide each picture into two similar mirror halves?

Answer:

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Chapter 2 – Fun with Numbers

Chapter 2 – Fun with Numbers

Page No 13:

Question 1:

Answer:

Page No 15:

Question 1:

One-day match between India and South Africa in Guwahati ……… India batting first …….

Answer:

Question 2:

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

Answer:

Century = 100 runs

Page No 16:

Question 1:

Fill in the Blanks:

Answer:

Page No 18:

Question 1:

Counting in 10’s

Answer:

Question 2:

Counting in 50’s

How far can you go like this? What is the biggest number you can call out? _______

Answer:

Page No 22:

Question 1:

Answer:

Jump 2 steps forward: 104, 106, 108, 110, 112, 114, 116.

Jump 2 steps backward: 262, 260, 258, 256, 254, 252, 250.

Jump 10 steps forward: 110, 120, 130, 140, 150, 160, 170.

Jump 10 steps backward: 200, 190, 180, 170, 160, 150, 140.

Continue the pattern:

550, 560, 570, 580, 590, 600, 610.

910, 920, 930, 940, 950, 960, 970, 980.

209, 207, 205, 203, 201, 199, 197.

401, 402, 403, 404, 405, 406, 407.

Page No 23:

Question 1:

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

Answer:

Page No 24:

Question 1:

Lazy Crazy also has a crazy way of taking money. He takes only innotes,notes andcoins. Now find out how they will pay him for what they have taken.

Answer

Question 2:

Who am I? Match with the number.

Answer:

Page No 25:

Question 1:

How Many are these?

Answer:

Page No 27:

Question 1:

Which cards will I have in my pocket if I have counted up to…

Answer:

Page No 28:

Question 1:

When I hadcards 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.

Answer:

Chapter 3 – Give and Take

Page No 30:

Question 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 _______.

Answer : (a)We can write it like this: 34 − 10 = 24 Thus, 10 less than 34 is 24.

(b) We can write it like this: 53 − 20 = 33

(d)We can write it like this: 66 − 11= 55 .Thus, 11 less than 66 is 55.

(e) We can write it like this: 62 + 13= 75 .Thus, 62 + 13 = 75

(f) We can write it like this: 89 − 23= 66 .Thus, 23 less than 89 is 66.

(g) We can write it like this: 10 + 40 = 50 .Thus, 10 more than 40 is 50.

(h) . We can write it like this: 28 + 9 = 37 .Thus, 9 added to 28 gives 37.

i ) We can write it like this: 44 + 9 = 53. Thus, the sum of 9 and 44 is 53.

(j) We can write it like this: 98 – 34= 64 .Thus, reducing 98 by 34 gives 64.

(k) We can write it like this: 4 + 37= 41 .Thus, 4 more than 37 is 41.

l) We can write it like this: 83 − 35= 48 .Thus, by taking 35 away from 83, we get 48.

Page No 31:

Question 1:

Hey! I have something more interesting for you. Ma told me, there are things to eat in some rooms. Help me find those room numbers. Mark them in my home. See what you get!

E.g., 47 = 37 + 10

37 + 9 =46

65 − 30 =35

67= 46 + 28

57= 87 − 30

66 −55=11

45+54=99

49+26=75

56 -21=35

36 =27+9

40+36=76

98=48+50

57 – 37=20

Page No 34:

Question 1:

See if you can do the same with these sums.

Answer:

Page No 35:

Question 1:

Now work out the steps in your mind. Write the answers directily in the boxes. 33 + 42 =75

19 + 61 =80

90= 48 + 42

60= 33 + 27

97= 34 + 63

117= 53 + 64

55 + 25 =80

67 + 25 =92

72 + 56 =128

Page No 40:

Question

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

Answer:

Number of candles with Rafi = 153 Number of candles given by Paras = 237. Total number of candles with Rafi

Question

A train compartment is carrying 132 people. Another compartment is carrying 129 people. In all, how many people are there in both the compartments?

Answer:

Number of people in the first compartment = 132. Number of people in the second compartment=129. Total number of people=

Page No 41:

Question

Shanu found 138 pebbles. Karim found 44 pebbles. How many pebbles did they find in all?

Answer:

Number of pebbles with Shanu = 138 Number of pebbles with Karim = 44 Total number of pebbles =

Question

A teacher kept a note of which fruits students like in her school. This is what she found:

Students	Oranges	Mangoes	Total
Girls	136	240
Boys	128	243
Total

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?

Answer:

(a) Number of girls who like oranges = 136 .Number of boys who like oranges = 128 .Total number of students who like oranges

(b) Number of girls who like mangoes = 240 .Number of boys who like mangoes = 243. Total number of students who like mangoes

(d) Number of girls who like oranges = 136 .Number of girls who like mangoes = 240 .Total number of girls in the schoolThus, the number of girls in the school is more than 350.

Page No 42:

Question 1:

Practice Time A. (i) 345 + 52 (ii) 492 + 29 (iii) 245 + 93 (iv) 643 + 345 (v) 750 + 219

319+ 823

804+ 406

363+ 456

427+ 248

684+ 232

Answer:

(ii)

(iii)

(iv)

(v)

(ii)

(iii)

(iv)

(v)

Page No 44:

Question 1:

Do all the sums mentally: (a) 75 + 20 =

(b) 90 + 60 =

(d) 9 + 40 + 31 =

(e) 500 + 200 =

(f) 400 + 350 =

(g) 670 + 120 =

(h) 380 + 210 =

(i) 205 + 650 =

(j) 128 + 600 =

(k) 150 + 69 =

(l) 37 + 46 + 3 =

Answer:

(a) 75 + 20 =95

(b) 90 + 60 =150

(d) 9 + 40 + 31 =80

(e) 500 + 200 =700

(f) 400 + 350 =750

(g) 670 + 120 =790

(h) 380 + 210 =590

(i) 205 + 650 =855

(j) 128 + 600 =728

(k) 150 + 69 =219

(l) 37 + 46 + 3 =86

Page No 45:

Question 1:

You can also play it. Here are the cards for you. Work out the combination. Place the cards in the right boxes. (a)

(b)

Answer:

(a)

(b)

NCERT Solutions (1-5)

Chapter 4 – Long and Short

Page No 48:

Question 1:

The matchstick is 4 centimetres long. The die is 1 centimetre from every side. The lizard is 13 centimetres long. The leaf is ______ centimetres long. The wax colour is ______ centimetres long.

Answer:

The leaf is 4 centimetres long. The wax colour is 7 centimetres long.

The small scale we mostly use in school is 15 cm long.

The length of the nail is 4 cm. The length of the pebble is 3 cm. The length of the safety pin is 2 cm. The length of the paper clip is 1 cm.

Page No 49:

Question 1:

What are the little lines on the scale used for?

Answer:

Each little line on the scale is used to measure 0.1 cm.

Question 2:

Look for things that are – About 10 centimetres long – Between 10 and 20 centimetres long – Less than 1 cm long.

Answer:

– Things that are 10 cm long are a color pencil and a photograph.

– Things that are between 10 and 20 cm long are a mobile phone and a notebook.

– Things that are less than 1 cm long are an ant, a lemon seed and a sugar crystal.

Question 3:

Draw some of them here.

Answer:

Page No 52:

Question 1:

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

Can you draw a road shorter then these? What is the length of that road? _____________

Answer:

Page No 56:

Question 1:

Centimetres or Metres? Which of these will be in centimetres and which will be in metres? • Width of a computer screen • Length of a Pagdi worn by Sikhs • Height of a 1-year old child • Length of a banana • Waist of an elephant • Height of a sugarcane • Depth of a well • Height of your mother • Distance from school to home • Length of your father’s arm

Answer:

Things that are measured in centimetres: 1. Width of a computer screen 2. Height of 1-year old child 3. Length of a banana 4. Height of a sugarcane 5. Height of your mother 6. Length of your father’s arm

Things that are measured in metres: 1. Length of a Pagdi worn by Sikhs 2. Waist of an elephant 3. Depth of a well 4. Distance from class room to school gate.

Page No 58:

Question 1:

Match the Correct Length Draw lines to match each picture with how long it can be.

Answer:

Chapter 5 – Shapes and Designs

Page No 61:

Question 1:

Colour the clown following the directions given below:

Triangles: Red Squares: Yellow Rectangles: Blue Circles: Green

Answer:

Page No 62:

Question 1:

How many triangles are there in the following figures?

Answer:

Question 2:

Find the biggest rectangle in the figures given below.

Answer:

Page No 64:

Question 1:

(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.

Answer:

(a) A book, an eraser and a page have straight edges and a cylinder, a pen and a bowl have curved edges.

(b) Yes, things with straight edges have corners.

(d) A pencil, a capsule and a knife have straight and curved edges.

Page No 65:

Question 1:

Look at the following table and tick (✓) the names of things that have corners. Also count the number of edges and corners in each of them.

Name of thing	Whether it has corners	Number of edges	Number of corners
Die	Yes		8
Ball
Eraser
Egg
Sheet of paper

Answer:

Name of thing		Whether it has corners	Number of edges	Number of corners
Die	✓	Yes	12	8
Ball		No
Eraser	✓	Yes	12	8
Egg		No
Sheet of paper	✓	Yes	4	4

Question 2:

In the following figures, tick (✓) those which have corners. Do these figures have curved lines?
Using only straight lines, can you draw a figure which has no corners?

Answer:

Yes, two of the given figures have curved lines.
Using straight lines, it is not possible to draw a figure that has no corners.

Page No 67:

Question 1:

How many triangles do you have in your set? Are all of them equal in size? Find out.

Answer:

There are three triangles in a set. Only two out of the three are equal in size. We can check that by measuring the sides of the triangles.

Question 2:

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

Answer:

(1) Use triangles 2 and 5 to get the figure of a square.(2) Use triangles 2 and 5 to get the figure of a triangle.

Question 3:

Which two pieces of the tangram set are exactly same? Find out.

Answer:

Pieces 2 and 5 are exactly the same.

Page No 71:

Question 1:

Among the following, can you match the tiles with the designs that they will make on the floor? Draw lines to match.

Answer:

Question 2:

Complete the following tiling pattern.

Chapter 6 – Fun with Give and Take

Page No 80:

Question 2:

Arvind has read 69 pages of story book. Gouri has read 95 pages of that story book. Who has read more pages and how many more?

Answer:

Number of pages of the storybook read by Arvind = 69 .Number of pages of the storybook read by Gouri .Gouri has read 26 pages more than Arvind.

Page No 81:

Question 1:

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? This month’s reading _________ Last month’s reading _________

She used _________ units of electricity.

Answer:

This month’s reading 193 units Last month’s reading 118 units

She used 75 units of electricity.

Question 2:

Khushboo bought a shirt for Rs 125 and trousers for Rs 165. How much money did she spend altogether? Bought a shirt for Rs _________ Bought trousers for Rs _________

She spent Rs ________ altogether.

Answer:

Bought a shirt for Rs 125 Bought trousers for Rs 165

She spent Rs 290 altogether.

Page No 82:

Question 1:

Solve the following:

17- 3=14

14+ 3=11

39- 1 0=29

12+ 2 4=36

86- 5 8=28

1 3 9- 1 1 0=029

2 3 7+ 2 1 3=024

3 2 5- 2 0 4=121

4 7 4- 1 3 6=338

6 4 2- 4 1 3=229

49+ 2 0=69

1 3 5+ 1 4 6=271

Answer:

Page No 83:

Question 1:

Check Rashi’s subtraction using addition. Give her a ✔ for every right answer. 3 8 4 -243=141

1 4 1 +243=384

4 6 8 -139=221

356-247= 119

4 6 8 -139=221

Page No 85:

Question 1:

Find the Missing Numbers Look at the number patterns. Write the missing numbers. (a) 100, 200, 300, _____, _____, 600, _____

(b)900, 800, 700, _____, ______, 400, _______

(d)300, 250, 200,_____ ,____ , ______

(e)_____, 25 ,35,45,_____, ________

(f) 280, 260, 240, _____, _____, _____, _____

(g) 125, 150, 175, 200, _____, 250, _____, _____

Answer:

(a) 100, 200, 300, 400 , 500 , 600, 700

(b)900, 800, 700, 600, 500, 400, 300

(d)300, 250, 200, 150, 100, 50

(e)15, 25, 35, 45, 55, 65

(f) 280, 260, 240, 220 , 200 , 180 , 160

(g) 125, 150, 175, 200, 225 , 250, 275 , 300

Page No 87:

Question 1:

Indu’s pencil is 15 cm long. Jyoti’s pencil is 8 cm long. Whose pencil is longer? How much longer?

Answer:

Length of Indu’s pencil = 15 cm Length of Jyoti’s pencil = 8 cm 15 – 8 = 7cm , Indy’s pencil is longer.

Question 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?

Answer:

Cost of 1 kg salt = Rs 15. Cost of 1 kg sugar = Rs 40 .

40 – 15= Rs 25, sugar

Question 3:

Ajay cooked chapatis in 25 minutes. Then he made daal in 15 minutes. How much time did he take to cook both things?

Answer:

Time taken to cook chapatis = 25 minutes.Time taken to make daal = 15 minutes

25+15 = 40minutes

Question 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: (a) How many grey sweaters did Chanchal sell in 2 days? (b) Did she sell more red sweaters than blue sweaters in 2 days?

Answer:

(a) Grey sweaters sold on first day = 74 . Grey sweaters sold on the second day = 89

74+89=163

(b) Blue sweaters sold on first day = 66 .Blue sweaters sold on second day = 23. 66+23=89

Red sweaters sold on the first day = 38 .Red sweaters sold on the second day = 40.

38+40 = 78

Chanchal did not sell more red sweaters than blue sweaters in 2 days.

Page No 88:

Question 1:

How many red and grey sweaters did she sell on the first day — more than 120 or less than 120? Tick (✓) the right answer.

More than 120

less than 120

Answer:

Total number of red and grey sweaters sold on first day = 38 + 74 = 112

Thus, on the first day, less than 120 sweaters were sold.

Question 2:

How many sweaters in all did she sell on the second day ― more than 140 or less than 140? Tick (✓) the right answer.

more than 140

less than 140

Answer:

Red sweaters sold on second day = 40 . Blue sweaters sold on second day = 23. Grey sweaters sold on second day =89. 40+23+89=152. on the second day, more than 140 sweaters were sold.

Question 3:

Is Sangeeta right? Sangeeta went to the market with her grandpa.

She looked at the prices and said to her grandpa ― (a) Ghee is Rs 102 rupees costlier than biscuits.

(b) Price of oil and ghee altogether is more than Rs 200.

(d) Oil costs Rs 40 more than a pack of biscuits.

Is Sangeeta right? Mark (✓) or (✕) in the box.

Answer:

(a) Cost of ghee = Rs 127.Cost of biscuit = Rs 25. 127—25= Rs.102

√ Ghee is Rs 102 rupees costlier than biscuits.

(b) Cost of oil = Rs 70. Cost of ghee = Rs 127. 127+70= Rs.197

×. Price of oil and ghee altogether is more than Rs 200.

c) Cost of ghee = Rs 127. Cost of 10 kg rice = Rs 150. 127+150=Rs.277

√ Price of ghee and 10 kg rice is less than Rs 300.

(d) Cost of oil = Rs 70. Cost of biscuits = Rs 25. 70—25=Rs.45

× Oil costs Rs 40 more than a pack of biscuits.

Page No 89:

Question 1:

36 men and 52 women waiting for their turn.

Answer:

Story Problem: There are 36 men and 52 women standing in a line to cast their votes. How many people altogether have come to cast their vote?

Page No 90:

Question 1:

We have our mid-day meal in 20 minutes and play for 15 minutes.

Answer:

Story Problem: The students of a class take 20 minutes to take their mid day meal and after that they play for 15 minutes. How much time do they need for both the activities?

Question 2:

The post office is 1 kilometre from Shahid’s home and 2 kilometres from his school.

Answer:

Story Problem: The post office is 1 kilometre from Shahid’s home and 2 kilometres from his school. If the post office is located in between school and home, then find the total distance between Shahid’s home and his school?

Question 3:

Bunty has read 27 books and Babli has read 34 books.

Answer:

Story Problem: Bunty has read 27 books and Babli has read 34 books. Who has read more books and by how much?

Page No 91:

Question 1:

56 − 37 =?

10 + 10 − 1 = ______

So 56 − 37 =

Answer:

10 + 10 − 1 = 19 So, 56 − 37 =19

Question 2:

60 − 45 = ?

5 + 10 = ______

So 60 − 45 =

Answer:

5 + 10 = 15 So, 60 − 45 =15

Question 3:

80 − 59

_____ + _____ + _____ =

So 80 − 59 =

Answer:

1 + 10 + 10 =21

So, 80 − 59 =21

Question 4:

85 –63=?

Answer:

20+ 2=22 So, 85 –63=22

Question 5:

84 − 69 =?

Answer:

1 + 10 + 4 = 15 So, 84 − 69 =15

Question 6:

60 − 20 =

Answer:

10 + 10 + 10 + 10 = 40. So, 60 − 20 =40

Question 7:

90 − 50 =

Answer:

10 + 10 + 10 + 10 = 40 So, 90 − 50 =

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Chapter 7 – Time Goes On

Page No 100:

Question 1:

Birth Certificate Look at the birth certificate of Bincy.

(1) 2/5/2002 shows that Bincy was born on 2 ____________, in the year 2002. (2) How old will Bincy be on 2 May 2008? ____________ (3) How old will she be in the year 2052? ____________ (4) On what date will she be eight years old? Write in numbers. ___________ (5) How many months old was Bincy on 2 August 2002? ____________ (6) How many years old is Bincy now? ___________ (7) After how many months of her birth was the certificate issued? (8) What is the registration number of her certificate? __________

Answer:

(1) 2/5/2002 shows that Bincy was born on 2 May, in the year 2002.

(2) 2008 – 2002=6. Thus, she will be 6 years old on 2 May, 2008.

(3) 2052 − 2008 = 44. Thus, she will be 44years old on 2052.

(4) 2002 + 8 = 2010 . So, on date 2/5/2010, she will be 8 years old.

(5) Bincy will be 3 months old in August 2002.

(6) At present, the year is 2021 and her birth year was 2002. So, her age is 17 years. 2021—2002=17

(7) 8—5 =3. After 3 months

(8) Registration number of her certificate is 815/02

Page No 101:

Question 1:

Find Out When were you born? _________ Write your date of birth in numbers. _________ Do you have a birth certificate? Ask your parents and make one for yourself.

Answer:

Page No 103:

Question 1:

How many months does a year have? _____________ • List the months which have 30 days. _____________ ____________________________________________________ • List the months which have 31 days. _____________ ____________________________________________________ • How many days does the month of February have? ___________ • How many days makes a week? ___________ • How many weeks are there in July? ___________ Is it true for all the months? _____________ • In which month did you come to Class III? • Make a circle on these dates in the calendar: 26th January 14th November 31st December. Is there something special about these dates?

Answer:

A year has 12 months.
Months that have 30 days are April, June, September and November
The months that have 31 days are January, March, May, July, August, October and December.
In a non-leap year, February has 28 days whereas in a leap year February has 29 days.
Seven days make a week.
There are 4 weeks in the month of July. No, it is not true for all the months.
We came to class 3 in June
26th January—Republic Day

14th November—Children’s Day

31st December—Last day of the year

Question 2:

Fill in the blanks with the correct year: (2017 , 2020, 2019, 2018, 2021, 2025) 1. Which year was it two years back? 2019. 2. In which year were you in Class II? 2020. 3.Which year will be the next year? 2022. 4. Which year will come after 3 years?2025.

Page No 104:

Question

Which festival comes in the beginning of the year? ____________________

Answer:

Pongal / Utrayan comes in the beginning of the year.

Question

Which festival comes at the end of the year? __________________

Answer:

Christmas Day comes at the end of the year.

Page No 110:

Question 1:

For some pictures the time is already written and you must draw the hands on the clock. In others you have to write the time shown by the clock.

Answer:

Page No 112:

Question 1:

Now prepare a chart showing your own daily routine.

Answer:

Chapter 8 – Who is Heavier?

Page No 113:

Question 1:

Are the groundnuts really more than the jaggery (gur) in weight or do they just look more?

Answer:

No, the groundnuts do not weigh more than jaggery. They only look more in number as compared to jaggery.

Question 2:

Now guess, for which of these you need a bigger bag: (1) 1 kg popcorn or 1 kg sugar? (2) 1 kg peas or 1 kg potatoes?

Answer:

(1) We need a bigger bag for 1 kg popcorn.

(2) We need a bigger bag for 1 kg peas.

Page No 116:

Question 1:

Now guess her weight and the amount of sweets her parents distribute every Independence Day.

Kunjamma’s age	Kunjamma’s weight	Amount of sweets
At birth	3 kg	3 + 3 = 6 kg
1 year old	9 kg	________________
2 years old	______	13 + 13 = 26 kg
3 years old	17 kg	________________
4 years old	______	________________
5 years old	28 kg	________________

Answer:

Kunjamma’s age	Kunjamma’s weight	Amount of sweets
At birth	3 kg	3 + 3 = 6 kg
1 year old	9 kg	9 + 9 = 18 kg
2 years old	13 kg	13 + 13 = 26 kg
3 years old	17 kg	17 + 17 = 34 kg
4 years old	20 kg	20 + 20 = 40 kg
5 years old	28 kg	28 + 28 = 56 kg

Answer:

1 kg	rice
half kg	daal
1 bowl	peas
8 glasses	water
2	onions
a spoon	salt
2 spoon mustard seeds	mustard seeds
1 pinch	red chilli powder

Page No 118:

Question 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.

Name of thing	How much bought

Answer:

Page No 119:

Question 1:

Guess their weights and match.

Answer:

Question 2:

Guess which of the following things weigh more than 1 kilogram? Which ones will weigh less than 1 kilogram (kg)?

Answer:

(i) School bag weighs more than 1 kg.

(ii) Geometry box weighs less than 1 kg.

(iii) Brick weighs more than 1 kg.

(iv) A big pumpkin weighs more than 1 kg.

(v) Your pair of slippers/shoes weigh less than 1 kg.

Page No 120:

Question 1:

Use your balance to find which of the following is heavier — (i) A water bottle or a cricket ball (ii) Your shoe or your pencil box (iii) Your Maths book or Hindi book (iv) Your bag or your friend’s bag

Answer:

(i) A water bottle is heavier than a cricket ball.

(ii) Our shoe is heavier than our pencil box.

Question 3:

Make a list of (i) Things weighing less than half kg. (ii) Things weighing more than half kg.

Answer:

(i) Things weighing less than half kg are a geometry box, pair of sandals, your uniform, and lunch box.

(ii) Things weighing more than half kg are your school bag, own weight, and bed.

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Chapter 9 – How Many Times?

Page No 122:

Question 1:

How many spiders? _________ One spider has _________ legs. In all, spider legs are 3 times ________ or + + = ________ or 3 × ______ = ________

Answer:

There are 3 spiders. One spider has 8 legs. In all, spider legs are 3 times 8 . or 8 + 8 + 8 = 24 . or 3 × 8 = 24 .

Question 2:

Do you know this leggy fellow? This is an octopus. It lives in the sea. It also has 8 legs. So how many legs altogether do 5 octopuses have? + + + + = ________ or 5 times ________ = ________ or 5 × _______ = ________

Answer:

8 + 8 + 8 + 8 + 8 = 40 or 5 times 8 = 40 or 5 × 8 = 40

Page No 123:

Question 1:

In the same way, how many bottles are these? ______ times ______ = ______ bottles

Answer:

There are 5 rows. Each row has 4 bottles. 5 times 4 = 20 bottles

Question 2:

How many eggs? _____ times _____ = _____ eggs

Answer:

There are 5 rows and each row has 6 eggs. 5 times 6 = 30 eggs

Page No 124:

Question 1:

Rewrite using the + sign. 2 × 5 is 2 times 5 or 5 + 5. 4 × 18 is 4 times ___ or _____+____ +_____+____. 3 × 20 is _____ times _____ or _____ + _____ + _____ . 8 × 9 is _____ times _____ or _____ + _____ + _____ + _____ + _____ + _____ + _____ + _____

Answer:

4 × 18 is 4 times 18 or 18 + 18 + 18 + 18 . 3 × 20 is 3 times 20 or 20 + 20 + 20 . 8 × 9 is 8 times 9 or 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9

Question 2:

Tell how many times!

9 + 9 + 9 + 9 + 9 + 9	= 6 × 9	= 54
4 + 4 + 4 + 4 + 4	= 5 × 4	= 20
8 + 8 + 8	=____ × 8	= ____
3 + 3 + 3 + 3 + 3	= 5 × ____	= ____
30 + 30 + 30	= ____ × ____	= ____
7 + 7 + 7 + 7 + 7 + 7	= ____ × ____	= ____
12 + 12 + 12 + 12	= ____ × 12	= ____
6 + 6 + 6	= ____ × ____	= ____
10 + 10 + 10 + 10	= ____ × ____	= ____
2 + 2 + 2 + 2 + 2	= ____ × ____	= ____
6 + 6 + 6 + 6 + 6 + 6 + 6	= ____ × ____	= ____

Answer:

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 × 30	= 90
7 + 7 + 7 + 7 + 7 + 7	= 6 × 7	= 42
12 + 12 + 12 + 12	= 4 × 12	= 48
6 + 6 + 6	= 3 × 6	= 18
10 + 10 + 10 + 10	= 4 × 10	= 40
2 + 2 + 2 + 2 + 2	= 5 × 2	= 10
6 + 6 + 6 + 6 + 6 + 6 + 6	= 7 × 6	= 42

Page No 125:

Question 1:

Ramu bought 4 packets of biscuits. Each packet has 4 biscuits. How many biscuits did Ramu buy?

Answer:

Total biscuits that Ramu bought = 4

×4 = 16. 4+4+4+4=16

Question 2:

There are 12 desks in a classroom. Each desk has 4 legs. What is the total number of legs of the desks?

Answer:

. Total number of legs = 12×4=48 12+12+12+12=48

Question 3:

Sabiha brought home 3 bunches of flowers. Each bunch has 4 flowers. How many flowers were there?

Answer:

Total number of flowers = 3×4=12 3+3+3+3=12

Question 4:

One rail coach has 8 wheels. How many wheels in all in 6 coaches?

Answer:

Total number of wheels = 8×6=48

8+8+8+8+8+8=48

Page No 126:

Question 1:

How Many Times 2?

1 time 2	is 2	or 1 × 2	= 2
2 times 2	is 4	or 2 × 2	= 4
3 times 2	is 6	or 3 × 2	= 6
4 times 2	is _____	or 4 × 2	= _____
5 times 2	is _____	or 5 × 2	= _____
6 times 2	is _____	or 6 × 2	= _____
_____ times 2	is _____	or _____ × 2	= _____
_____ times _____	is _____	or 8 × 2	= _____
_____ times _____	is _____	or 9 × 2	= _____
_____ times _____	is _____	or 10 × 2	= _____

Answer:

1 time 2	is 2	or 1 × 2	= 2
2 times 2	is 4	or 2 × 2	= 4
3 times 2	is 6	or 3 × 2	= 6
4 times 2	is 8	or 4 × 2	= 8
5 times 2	is 10	or 5 × 2	= 10
6 times 2	is 12	or 6 × 2	= 12
7 times 2	is 14	or 7 × 2	= 14
8 times 2	is 16	or 8 × 2	= 16
9 times 2	is 18	or 9 × 2	= 18
10 times 2	is 20	or 10 × 2	= 20

Page No 127:

1×3=3

2×3=6

3×3=9

4×3=12

5×3=15

6×3=18

7×3=21

8×3=24

9×3=27

10×3=30

Page No 128:

1×4=4. 1×5=5

2×4=8. 2×5=10

3×4=12. 3×5=15

4×4=16. 4×5=20

5×4=20. 5×5=25

6×4=24. 6×5=30

7×4=28. 7×5=35

8×4=32. 8×5=40

9×4=36. 9×5=45

10×4=40. 10×5=50

Page No 129:

1×6=6. 1×7=7

2×6=12. 2×7=14

3×6=18. 3×7=21

4×6=24. 4×7=28

5×6=30. 5×7=35

6×6=36. 6×7=42

7×6=42. 7×7=49

8×6=48. 8×7=56

9×6=54. 9×7=63

10×6=60. 10×7=70

1×8=8. 1×9=9

2×8=16. 2×9=18

3×8=24. 3×9=27

4×8=32. 4×9=36

5×8=40. 5×9=45

6×8=48. 6×9=54

7×8=56. 7×9=63

8×8=64. 8×9=72

9×8=72. 9×9=81

10×8=80. 10×9=90

1×10=10. 1×11=11

2×10=20. 2×11=22

3×10=30. 3×11=33

4×10=40. 4×11=44

5×10=50. 5×11=55

6×10=60. 6×11=66

7×10=70. 7×11=77

8×10=80. 8×11=88

9×10=90. 9×11=99

10×10=100. 10×11=110

Page No 130:

Question 1:

Let’s try making a 2 times table with sticks:

1 × 2 = 2 2 × 2 = 4 3 × 2 = 6 4 × 2 = 5 × 2 = 6 × 2 = 7 × 2 = 8 × 2 = 9 × 2 = 10 × 2 =

Answer:

4 × 2 = 8 , 5 × 2 = 10, 6 × 2 = 12 , 7 × 2 = 14 , 8 × 2 = 16 , 9 × 2 = 18,. 10 × 2 = 20

Page No 131:

Shopping with Tables How much do these things cost?

4 toffees cost ________ rupees.

3 pencil boxes cost ________ rupees. 10 pencil boxes cost ________ rupees.

9 balloons cost ________ rupees.5 toys cost ________ rupees.7 face masks cost ________ rupees.

Answer:

4 toffees cost 8 rupees. 4×2=8

3 pencil boxes cost 30 rupees. 3×10=30

10 pencil boxes cost 100 rupees. 10×10=100

9 balloons cost 45 rupees. 9×5=45

5 toys cost 20 rupees. 5×4=20

7 face masks cost 21 rupees. 7×3=21

Page No 132:

Question 1:

Practice Time Complete the following: 2 × 7 = __________ 4 × 9 = __________ 5 × 8 = __________ 10 × 6 = __________ 5 × 9 = __________ 3 × 9 = __________ 5 × 2 = __________ 3 × 10 = __________ 2 × 8 = ___________ 10 × 8 = ___________

Answer:

2 × 7 = 14 , 4 × 9 = 36 , 5 ×8=40, 10 × 6 = 60, 5 × 9 = 45, 3 ×9=27, 5 × 2 = 10 , 3 × 10 = 30 , 2 ×8=16, 10 × 8 = 80

Question 2:

Look at the patterns and complete them. 3, 6, 9, _________, _________, _________. 2, 4, 6, _________, _________, _________. 10, 20, 30, _________, _________, _________. 4, 8, 12, _________, _________, _________. 5, 10, 15, _________, _________, _________. 30, 60, 90, _________, _________, _________.

Answer:

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.

Page No 133:

Complete the multiplication tree

12 . 10. 35

1×12. 1×10. 1×35

4×3. 2×5. 5×7

6×2. 10×1. 7×5

12×1. 5×2. 35×1

80. 36

1×24. 1×80. 1×36

2×12. 2×40. 6×6

3×8. 10×8. 4×9

4×6. 5×16. 36×1

8×3. 4×20. 9×4

Page No 134:

Question 1:

How many in all?

A shirt has 5 buttons. How many buttons would 3 shirts have?
There are four fans. Each fan has 3 blades. What is the total number of blades in all?
A box contains 6 apples. How many apples in all will seven boxes have?
How many corners would 4 triangles have?

Answer:

Total number of buttons = 3×5=15.

.3 shirts will have 15 buttons.

Total number of blades = 4×3=12.

There are 12 blades in all.

. Total number of apples = 7×6=42.

Seven boxes will have 42 apples.

Total number of corners = 4×3=12

There would be 12 corners in 4 triangles.

Question 2:

Some multiplication fats: • 8 × 3 = _____ • 3 × ____ = _____ • ____ × ____ = 42 • 5 × ____ = 40 • ____ × ____ = 54 • 5 × ____ = 357 • ____ × 6 = 36 • 10 × ____ = _____ • ____ × 9 = 36 • ____ × 7 = 28

Answer:

8 × 3 = 24• 3 × 7 = 21 • 7 × 6 = 42 • 5 × 8 = 40 • 6 × 9 = 54 • 5 × 7 = 35 • 6 × 6 = 36 • 10 × 8 = 80 • 4 × 9 = 36 • 4 × 7 = 28

Page No 135:

Question 1:

Multiplication Table of 1

one time one is	1 × 1 =	1
two times one is	2 × 1 =	2
three times one is	3 × __	= ____
four times one is	__ × __	= ____
_____ times one is	__ × __	= ____
_____ times one is	__ × __	= ____
_____ times one is	__ × __	= ____
_____ times one is	__ × __	= ____

Answer:

one time one is	1 × 1 =	1
two times one is	2 × 1 =	2
three times one is	3 × 1	= 3
four times one is	4 × 1	= 4
five times one is	5 × 1	= 5
six times one is	6 × 1	= 6
seven times one is	7 × 1	= 7
eight times one is	8 × 1	= 8

Page No 138:

Question 1:

Multiply:

• 22 × 3 =	• 43 × 2 =
• 21 × 4 =	• 24 × 2 =
• 11 × 5 =	• 30 × 5 =
• 20 × 4 =	• 23 × 9 =
• 26 × 4 =	• 38 × 2 =
• 25 × 3 =	• 24 × 5 =
• 35 × 3 =	• 48 × 4 =
• 32 × 5 =	• 58 × 2 =

Answer:

• 22 × 3 = 66	• 43 × 2 = 86
• 21 × 4 = 84	• 24 × 2 = 48
• 11 × 5 = 55	• 30 × 5 =150
• 20 × 4 = 80	• 23 × 9 = 207
• 26 × 4 = 104	• 38 × 2 = 76
• 25 × 3 = 75	• 24 × 5 = 120
• 35 × 3 = 105	• 48 × 4 = 192
• 32 × 5 = 160	• 58 × 2 = 116

Question 2:

First guess the answer and then calculate: • A flower has five petals. A bunch of flowers has 13 flowers. How many petals are there in the bunch?

A book has 64 pages. What will be the total number of pages in 8 such books?
Students stand in rows in the assembly. There are six rows of students. Each row has 17 students. How many students are there?
A design has 3 flowers in it. A piece of cloth has 17 such designs. How many flowers will be on the cloth?

Answer: Total petals in the bunch = 13×5

Thus, there are 65 petals in a bunch.

Total pages in 8 books = 8×64=512

There are 512 pages in all the 8 books . Total students in 6 rows = 6×17=102

There are 102 students in all the 6 rows.

Total number of flowers on the cloth = 17×3=51

There are 51 flowers on the cloth.

Page No 141:

Question 1:

Practice Time First guess the answer and then check it by calculating:

42 × 23 = _________ 51 × 13 = _________ 25 × 36 = _________ 73 × 11 = _________ 54 × 12 = _________ 12 × 14 = _________

Answer:

Adding the number in the boxes:

So, 42 × 23 = 966

Adding the number in the boxes:

So, 51 × 13 = 663

Adding the number in the boxes:

So, 25 × 36 = 900

Adding the numbers in the boxes:

So, 73 × 11 = 803

Adding the number in the boxes:

So, 54 × 12 = 648

Adding the number in the boxes:

So, 12 × 14 = 168

Question 2:

Multiplication Patterns

9 × 1 = 9
9 × 2 = 18	1 + 8 = 9
9 × 3 = 27	2 + 7 = 9
9 × 4 = 36	3 + 6 = 9
9 × 5 = 45	4 + 5 = 9
9 × __ = __	__ + __ = __
9 × __ = __	__ + __ = __
9 × 8 = __	__ + __ = __

Answer:

9 × 1 = 9
9 × 2 = 18	1 + 8 = 9
9 × 3 = 27	2 + 7 = 9
9 × 4 = 36	3 + 6 = 9
9 × 5 = 45	4 + 5 = 9
9 × 6 = 54	5 + 4 = 9
9 × 7 = 63	6 + 3 = 9
9 × 8 = 72	7 + 2 = 9
9 × 9 = 81	8 + 1 = 9

NCERT Solutions (6-12)

Lesson -10

Play with patterns

Page No 144:

Question 1:

Look around you and list three things in which you find some pattern. ____________ ____________ ____________

Answer:

I can find patterns on the tiles in my bathroom, my mother’s saree, and my friend’s shirt.

Question 2:

Draw some patterns which you have found around yourself.

Answer:

Page No 146:

Question 1:

Practice Time • Given below are some patterns. Figure out the rule for each and continue the pattern.

(a)

(b)

(c)

(d)

(e)

(f) Morning, afternoon, evening, night, morning, ________…….

Answer:

(a) Rule: There is one red pot after every blue pot.

(b) Rule: There is a B after every two A.

(d) Rule: The blue triangle in the square changes its position in an anti-clockwise direction. The same pattern of first 4 images is repeated after that.

(e) Rule: The pattern is moving in a clockwise direction. The same pattern of first 4 images is repeated after that.

(f) Rule: The four parts of the day are repeated. Morning, afternoon, evening, night, morning, afternoon, evening, night.

Page No 147:

Question 1:

Growing Patterns

Can you see the rule and continue the pattern?

Answer:

In 1st image, there is only 1 arrow head pointing in the upward direction. In 2nd image, there is only 1 arrow head and is pointing in the downward direction. In 3rd image, there are only 2 arrow heads pointing in the upward direction. In 4th image, there are only 2 arrow heads pointing in the downward direction.

Similarly, the arrowheads become 3 in 5th and 6th image, pointing upward and downward alternately. So, in 7th and 8th image of the pattern, there will be 4 arrowheads, pointing upward and downward alternately.

Page:149

Number Patterns We have made some patterns with pictures. We can make patterns with numbers too. Like 21, 41, 61, 81, 101, …….. You know the next number, don’t you? This is a growing pattern. It can go on and on. 21, 41, 61, 81, 101, 121, 141, 161, ………

Answer:

21, 41, 61, 81, 101, 121, 141, 161, 181, 201, 221, 241, 261, 281, 301………….

Page No 149:

Question 1:

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) 12A, 13B, 14C, _____, _____.

Answer:. +5 (a) 51, 56, 61, 66, 71, 76, 77 ……. +7. (b) 7, 14, 21, 28, 35,42, 49, ……

×2 (c) 2, 4, 8, 16, 32, 64, 128, 256

+1 (d) 12A, 13B, 14C, 15D, 16E.

Question 2:

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, _____, _____, _____, _____, _____

Answer:

(a) 1 + 2 = 3 ,3 + 3 = 6, 6 + 4 = 10, 10 + 5 = 15. 1, 3, 6, 10, 15, 21, 28, 36, 45.

(b) 0 + 2 = 2, 2 + 4 = 6, 6 + 6 = 12 ,12 + 8 = 20. 0, 2, 6, 12, 20, 30, 42, 56, 72.

(d) 2 + 1 = 3 ,3 + 3 = 6, 6 + 5 = 11 ,11 + 7 = 18. 2, 3, 6, 11, 18, 27, 38, 51, 66, 83.

Page No 151:

Question 1:

Even and Odd Number Patterns

91 81 71 61 51 41 31 21 11 1

92 82 72 62 52 42 32 22 12 2

93 83 73 63 53 43 33 23 13 3

94 84 74 64 54 44 34 24 14 4

95 85 75 65 55 45 35 25 15 5

96 86 76 66 56 46 36 26 16 6

97 87 77 67 57 47 37 27 17 7

98 88 78 68 58 48 38 28 18 8

99 89 79 69 59 49 39 29 19 9

100 90 80 70 60 50 40 30 20 10

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, _____, 102, _____, _____, _____, _____, _____ How far can you continue this pattern? These numbers have a special name. They are called even numbers. Do any of these even numbers end with 3 or 5? What do even numbers end with? Look at the pattern of numbers in blue. Continue the pattern and fill in the blanks: 99, 101, _____, 105, 107, _____, _____, _____ What do the numbers in blue end with? All numbers that end with 1, 3, 5, 7 or 9 are called odd numbers. Write all odd numbers between 400 and 410. _________________________________________________________________ Write all even numbers between 155 and 165. _________________________________________________________________ If we add 1 to any odd number we get an _________ (even/odd) number. If we add 1 to any even number we get an _________ (even/odd) number. What do you get if you add an even number to an odd number?

Answer:

All these numbers have either 0, 2, 4, 6 or 8 at their units place. 96, 98, 100, 102, 104, 106, 108, 110, 112….....

Even numbers end with 2, 4, 6, 8 or 0. 99, 101, 103, 105, 107, 109, 111, 113…….

Odd number end with 1, 3, 5, 7 or 9.

Page No 152:

Question 1:

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

Mahadevan

Tsering

Adil

Gurinder

Baichung

Harsha

Raja

Narayan

Kavita

Warsha

Elvis

Jalaj

Answer:

Sharada

11 Mahadevan

8 Tsering

12Adil

Gurinder

4 Baichung

2 Harsha

5 Raja

Narayan

9 Kavita

7 Warsha

13 Elvis

3 Jalaj

Question 2:

Which of the following names have the same pattern? Mark ✓. Harsh, Anna, Kanak, Munna, Ongbi

Answer:

Harsh, Anna, Kanak, Munna, Ongbi ✓ ✓

Chapter 11 – Jugs and Mugs

Page No 155:

Question 1:

Less than 1 litre	More than 1 litre
bowl	big cooking pot

Answer:

Less than 1 litre	More than 1 litre
A small water bottle	A cooker
Tetra pack juice	Large bottle of Pepsi
A small saucepan	A jug

Page No 156:

Question 1:

Match the Right Pairs

Answer:

Page No 158:

Question 1:

Filling Pots Naseem and Abdul had to fill their pots each with water. Both pots were equally big and heavy. So they went to the tap again and again, filled their own bottles and poured water into the pots.

Naseem had to fill her bottle 16 times from the tap. But Abdul had to fill his bottle only 8 times. • Why did Naseem go more times than Abdul? • Naseem’s bottle can hold _____________ (twice/half/three times) as much water as Abdul’s bottle.

Answer:

Naseem had to go more times than Abdul because her bottle is smaller than Abdul’s bottle.
Naseem’s bottle can hold halfas much water as Abdul’s bottle.

Question 2:

How Many Glasses?

Pot B holds 11 glassfuls of water. Pot A holds twice as much water as pot B. How many glasses of water are needed to fill pot A? _________

Answer:

Pot B can hold 11 glasses of water in it. Pot A can hold twice as much water as pot B. Amount of water pot A can hold = 11 + 11 = 2

×11 = 22 glasses Thus, pot A can hold 22 glasses of water.

Page No 159:

Question 1:

Filling Potholes This is a small town near Kohima. There are some potholes in the road. Before the rains come, children want to fill the holes with pebbles. They bring pebbles in mugs of the same size. Hole A gets filled with 9 mugs of pebbles. Hole B gets filled with 18 mugs of pebbles. Hole C gets filled with 12 mugs of pebbles.

Mark A, B, C on the right hole in the picture. • Which is the biggest pothole? _____________ • If jugs are used, hole A gets filled with 5 jugs. How many jugs of pebbles are needed to fill hole B? ____________

Answer:

Pothole B is the biggest pothole.
9 mugs of pebbles fill the hole A whereas only 5 jugs are required to fill hole A.

⇒Capacity of 9 mugs = Capacity of 5 jugs So, if we have to fill hole B, then the number of mugs required = 18 = 2

×9 So, number of jugs required to fill pothole B = 2

×5 = 10 Thus, 10 jugs are required to fill hole B.

Chapter 12 – Can we Share?

Page No 161:

Question 1:

There are __________ caterpillars. They are in __________ groups. There are ___________ caterpillars in each group.

Answer:

There are 21caterpillars.

They are in 3 groups.

There are 7 caterpillars in each group.

Question 2:

There are __________ laddoos. They are in __________ groups. There are __________ laddoos in each group.

Answer:

There are 12laddoos.

They are in 4 groups.

There are 3 laddoos in each group.

Page No 162:

Question 1:

Draw 18 stars. Put them into 2 equal groups.

There are _________ stars in each group.

Answer:

There are 9 stars in each group.

Question 2:

Draw 18 beads. Put them into 3 equal groups.

There are ___________ beads in each group.

Answer:

There are 6 beads in each group.

Page No 164:

Question 1:

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

How many jalebis are there altogether? _________ How many jalebis are there in each plate? _________ Discuss in the class how you found the answer.

Answer:

There are 15 jalebis all together.

There are 5 jalebis in each plate.

Maximum number of jalebis in a plate is 5.

Page No 166:

Question 1:

If there are 60 bananas and two monkeys, how many will each monkey get? _________ bananas. What if there are 600 bananas and two monkeys?

Answer:

Number of bananas = 60 Number of monkeys = 2. Number of bananas each monkey gets = 60÷2=30

Question 2:

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 = ________ and 4 × 10 = 40 so each friend gets ________ rupees. Five friends found Rs 100. If they share it equally, how much will each get? ________

Answer:

16 ÷ 4 = 4 and 4 × 10 = 40 So, each friend gets 40 rupees.

100 ÷ 5 = 20 So, each friend will get 20 rupees.

Question 3:

Hari Prashad has 30 metres of rope. He distributes it equally among his three children. Each child gets ___________ metres of rope. If there is 36 metres of rope, how much of rope will each child get? ___________ And if there is 60 metres of rope, how much will each child get? ___________

Answer:

Length of the rope = 30 metres Number of children getting the rope = 3. Length of the rope each child gets = 30 metres÷3=10metres

Each child will get 10 metres of the rope.

Length of the rope = 36 metres Number of children getting the rope = 3. Length of the rope each child gets = 36 metres÷3=12metres

Each child will get 12 metres of rope.

Length of the rope = 60 metres Number of children getting the rope = 3. Length of the rope each child gets = 60 metres÷3=20metres

each child will get 20 metres of rope.

Page No 169:

Question 1:

Minku puts her 15 laddoos equally into 5 boxes.

(i) How many laddoos will there be in each box? There will be __________ laddoos in each box. 15 ÷ 5 = _________ (ii) If she uses only 3 boxes, how many laddoos will there be in each box? There will be __________ laddoos in each box. ________ ÷ 3 = ________

Answer:

(i) There are 15 laddoos, and 5 boxes are to be filled with these laddoos. So, number of laddoos in each box = 15 ÷ 5 = 3 There will be 3 laddoos in each box.

(ii) If she uses only 3 boxes. Then laddoos in each box = 15 ÷ 3 = 5 There will be 5 laddoos in each box.

Question 2:

Share 25 bananas among 5 monkeys. How many bananas for each monkey?

______ ÷ 5 = ______ Each monkey has _________ bananas.

Answer:

25 ÷ 5 = 5

Each monkey has 5 bananas.

Page No 170:

Question 1:

Share 12 balloons among 3 boys. How many balloons for each boy?

_______ ÷ _______ = _______ Each boy has _________ balloons.

Answer:

12 ÷ 3 = 4

Each boy has 4 balloons.

Question 2:

There are 21 candles. Put them equally in 3 boxes. How many candles are there in each box?

Answer:

21 candles are to be put equally in 3 boxes. Number of candles in each box = 21÷3=7

So, there are 7 candles in each box.

Page No 171:

Question 1:

There are 18 socks. How many girls can wear these socks?

Answer:

There are 18 socks. Each girl can wear 2 socks. Number of girls = 18

÷2 = 9

So, 9 girls can wear 18 socks.

Question 2:

Raj has 36 minutes to make rotis. One roti takes 3 minutes. How many rotis can he make in this time? He can make ____________ rotis.

Answer:

Raj has only 36 minutes to make rotis. Each roti takes 3 minutes to prepare. Number of rotis he can make = 36÷3=12

Question 3:

These are 24 footmarks of goats. So how many goats were there?

Answer:

Number of footmarks of goats = 24 Each goat has 4 legs. So number of goats = 24÷4=6

Page No 172:

Question 1:

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?

Answer:

Number of fingers of all the girls = 60 Each girl has 10 fingers. Number of girls = 60÷10=6

Question 2:

Lakshmi has 27 kg potatoes to sell. Three men came and bought equal amounts of potatoes. Each man bought __________ kg of potatoes.

Answer:

Amount of potatoes to sell = 27 kg Number of men who bought potatoes = 3 . Amount of potatoes each of them bought = 27 ÷3=9kg

Page No 173:

Question 1:

Jumpy Animals A frog jumps 2 steps at a time. A squirrel jumps 3 steps. A rabbit jumps 5 steps. A horse jumps 15 steps. A kangaroo jumps 30 steps. Use the path on the next page to find out: 1. In how many jumps will the frog reach 30? 30 ÷ 2 = _________ 2. In how many jumps will the squirrel reach 27? 27 ÷ 3 = _________ 3. Which number will the kangaroo reach in two jumps? 4. Who all will meet at the number 15? _________, _________, _________ 5. Will the rabbit ever be at the number 18? ________ 6. How many jumps of the rabbit equal one jump of the horse? ________ 7. How many jumps of the horse equals two jumps of the kangaroo? 8. Which is the smallest number where the frog and the squirrel will meet?

Answer:

Number of jumps frog takes to reach 30 = 30 ÷ 2 = 15 jumps
Number of jumps squirrel takes to reach 27 = 27 ÷ 3 = 9 jumps
Kangaroo takes 30 steps in one jump. It takes two jumps in total. So, in 2 jumps kangaroo will reach at number = 30×2=60
squirrel, rabbit, and horsewill meet at number 15.
No
Horse takes 15 steps in one jump. Rabbit takes 5 steps in one jump. Steps covered by rabbit in 3 jumps = 3×5=15

Thus, rabbit takes 3 jumps to cover 15 steps.

So, three jumps of rabbit is equal to one jump of the horse.

Kangaroo takes 30 steps in one jump. Steps covered by kangaroo in two jumps = 2×30=60

Horse takes 15 steps in one jump. Number of jumps taken by horse to cover 60 steps = 60÷15=4

Horse takes 4 jumps to cover 60 steps.

So, four jumps of the horse is equal to two jumps of the kangaroo.

Frog takes two steps in one jump. Frog takes steps 2, 4, 6, 8 and so on.

Squirrel takes three steps in one jump. Squirrel takes steps, 3, 6, 12, 15 and so on.

Number 6 is the common step of both frog and squirrel.

So, the smallest number where frog and squirrel will meet is 6.

Page No 175:

Question 1:

Divide into groups of 2 using 2 times table.

18	÷	2	=	9	Hint: 2 × 9 = 18
18	÷	9	=	2
16	÷	2	=
20	÷	2	=
	÷	2	=	7
	÷	2	=	10
8	÷		=	4
	÷	2	=	5

Answer:

18	÷	2	=	9	Hint: 2 × 9 = 18
18	÷	9	=	2	Hint: 9 × 2 = 18
16	÷	2	=	8	Hint: 2 × 8 = 16
20	÷	2	=	10	Hint: 2 × 10 = 20
14	÷	2	=	7	Hint: 2 × 7 = 14
20	÷	2	=	10	Hint: 2 × 10 = 20
8	÷	2	=	4	Hint: 2 × 4 = 8
10	÷	2	=	5	Hint: 2 × 5 = 10

Question 2:

Divide into groups of 5 using 5 times table.

10	÷	5	=		Hint: 5 × 2 = ?
20	÷		=	4
15	÷	5	=
40	÷		=	8
20	÷	5	=
	÷	5	=	6
25	÷	5	=
	÷	5	=	3
35	÷	5	=
	÷	5	=	2

Answer:

10	÷	5	=	2	Hint: 5 × 2 = 10
20	÷	5	=	4	Hint: 5 × 4 = 20
15	÷	5	=	3	Hint: 5 × 3 = 15
40	÷	5	=	8	Hint: 5 × 8 = 40
20	÷	5	=	4	Hint: 5 × 4 = 20
30	÷	5	=	6	Hint: 5 × 6 = 30
25	÷	5	=	5	Hint: 5 × 5 = 25
15	÷	5	=	3	Hint: 5 × 3 = 15
35	÷	5	=	7	Hint: 5 × 7 = 35
10	÷	5	=	2	Hint: 5 × 2 = 10

Page No 176:

Question 1:

Try these.

4	÷		=	2
14	÷	7	=
6	÷	3	=
	÷	2	=	7
	÷	2	=	3
15	÷	3	=
8	÷	4	=
15	÷	5	=
8	÷		=	4
	÷	2	=	8
9	÷	3	=
18	÷	9	=
	÷	2	=	5
20	÷	5	=
12	÷	4	=
20	÷	4	=
12	÷		=	2

Answer:

4	÷		2		=		2	Hint: 2 ×2 = 4
14	÷		7		=2			Hint: 7 ×2 = 14
6	÷		3		=2			Hint: 3 ×2 = 6
14	÷		2		=		7	Hint: 2 ×7 = 14
6	÷		2		=		3	Hint: 2 ×3 = 6
15	÷		3		= 5			Hint: 3 ×5 = 15
8	÷		4		= 2			Hint: 4 ×2 = 8
15	÷		5		=3			Hint: 5 ×3 = 15
8	÷2				=		4	Hint: 2 ×4 = 8
	16÷		2		=		8	Hint: 2 ×8 = 16
9	÷	3	=			3 Hint: 3 ×3 = 9
18	÷	9	=			2 Hint: 9 ×2 = 18
10	÷	2	=	5		Hint: 2 ×5 = 10
20	÷	5	=	4		Hint: 5 ×4 = 20
12	÷	4	=	3		Hint: 4 ×3 = 12
20	÷	4	=	5		Hint: 4 ×5 = 20
12	÷	6	=	2		Hint: 6 ×2 = 12

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NCERT Solutions for Class 3 Math Chapter 13 – Smart Charts!

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Class 3
Math
Chapter 13 – Smart Charts!

Page No 177:

Question 1:

Flowers of Different Colours Have you been to a park? What coloured flowers did you see? Were most of the flowers yellow in colour?

Look at the different flowers in the picture. Complete the table:

Colour of flowers	Number of flowers
Blue
Red
Orange
Purple

Draw the right flower. Write how many there are. (a) ________ are the most in number. How many? _________. (b) ________ are the least in number. How many? _________. (c) ________ are more than ________ (d) ________ are more than ________

Answer:

Colour of flowers	Number of flowers
Blue	9
Red	7
Orange	5
Purple	10

(a)are the most in number i.e. 10.

(b)are the least in number i.e. 5.

(c)are more than

(d)are more than

Page No 178:

Question 1:

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

Way of Travel	How many
Walking (people)
Bicycles
Scooters

Answer the following questions. (a) In the picture which way of travel do you see the most? ________ (b) Which way of travel (vehicle) do you see the least? ________ (c) The number of people walking is more than the number of _______ (d) The number of buses is less than the number of ________

Answer:

Way of Travel	How many
Walking (people)	5
Bicycles	2
Scooters	2
4 wheelers	17
Bullock cart	1
Rickshaw	2

(a) Travelling by 4 wheeler can be seen the most in the picture.

(b) Travelling by bullock cart / tractor can be seen the least in the picture.

(d) The number of buses is less than the number of cars.

Page No 181:

Question 1:

Talk to people around you about their favourite sweets.

Fill in the table:

Favourite sweet	Number of people
Jalebi

From the above table answer the following: (a) Most favourite sweet ____________ (b) Least favourite sweet _____________ (c) ____________ is liked more than _____________ (Name of the sweet) (Name of the sweet) (d) ____________ is liked more than _____________ (e) ____________ is liked more than _____________ (f) _____________ is liked more than _____________

Answer:

Favourite sweet	Number of people
Jalebi	20
Rasgulla	18
Ras malai	25
Laddoo	22
Burfi	17
Kalakand	15

(a) Most favourite sweet is Ras malai.

(b) Least favourite sweet is Kalakand.

(d) Laddoo is liked more than Kalakand.

(e) Rasgulla is liked more than Burfi.

(f) Jalebi is liked more than Kalakand.

Page No 182:

Question 1:

Ask your friends about the number of people living in their homes. Fill in the table.

Number of people living together	How many families
1 alone
2 people
3 people
4 people
5 people
6 people
7 people
8 people
…………..

(a) Most families have _____________ people living in their homes. (b) The smallest number of people living in a home is ____________ (c) The number of families having 4 people is ____________

Answer:

Number of people living together	How many families
1 alone	2
2 people	5
3 people	8
4 people	6
5 people	4
6 people	2
7 people	2
8 people	1
…………..

(a) Most families have 3 people living in their homes.

(b) The smallest number of people living in a home is 1.

Page No 184:

Question 1:

Getting Smart with Charts

Attendance Board
Date 8/2/2007
Class	Number of students	Students present	Students absent
Class I	27	25	2
Class II	23	22	1
Class III	24	21	3
Class IV	22	18	4
Class V	25	23	2
Total

This board shows the number of students in each class. It also shows the number of students present and absent. • How many children in all are there in the school? _________ • How many children in all are absent on that day? _________

Answer:

Attendance Board
Date 8/2/2007
Class	Number of students	Students present	Students absent
Class I	27	25	2
Class II	23	22	1
Class III	24	21	3
Class IV	22	18	4
Class V	25	23	2
Total	121	109	12

There are a total of 121 students in the class.
12 students are absent on that day.

Question 2:

This is a chart to show the number of absent students. Each absent student is shown by • In the chart show the absent students of Class V.

Answer:

Page No 185:

Question 1:

Now look at the chart and fill in the blanks: (a) The class with the highest number of absent students is __________. (b) The class with the least number of absent students is ___________. (c) The class with 3 students absent is __________. (d) The number of studnts absent in Class IV and Class V are _________ and ________.

Answer:

(a) The class with the highest number of absent students is Class IV.

(b) The class with the least number of absent students is Class II.

(d) The number of students absent in Class IV and Class V are 4 and 2.

Page No 186:

Question 1:

Rohan, Jacob and Geeta also measured their hands. They stuck their strips as shown.

Look at the picture and fill in the blanks: (a) The length of Jacob’s hand is __________ (more/less) than Geeta’s hand. (b) The length of Geeta’s hand is __________ (more/less) than Rohan’s hand. (c) _________ has the longest hand. (d) _________ has the shortest hand.

Answer:

(a) The length of Jacob’s hand is more than Geeta’s hand.

(b) The length of Geeta’s hand is more than Rohan’s hand.

(D) Rohan has the shortest hand.

Question 2:

In the chart below stick the strips of all the friends in your group. Keep some space between the strips.

Page No 187:

Question 1:

Children coming to School

Look at the picture and fill in the table.

Way of coming	Tractor
Number of students	3

Answer:

Way of coming	Tractor	Bicycle	Walking	Car	Rickshaw
Number of students	3	5	11	2	4

Question 2:

3 students are coming by a tractor. We write 3 in the table. We also draw 3 faces on top of ‘tractor’ in the chart. Draw faces in the chart to show how many children come by bus, bicycle, etc.

Answer:

Page No 188:

Question 1:

Fill in the blanks: (a) The most students come to school by ____________. (b) The number of students walking to school is ___________ (more/less) than the students coming on bicycle. (c) The least students come to school by ___________.

So, isn’t this a smart chart! By simply looking at it we can know so much. Let us make more such charts.

Answer:

(a) The most students come to school by bus. (b) The number of students walking to school is more than the students coming on bicycle. (c) The least students come to school by horse / wheel chair.

Chapter 14 – Rupees and Paise