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NCERT Solutions for Class 5 Maths Chapter 15 Data Through Pictures (PDF) – 2027

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NCERT Solutions for Class 5 Maths Chapter 15 Data Through Pictures – step-by-step answers to every exercise and in-text question of the chapter, as per the latest NCERT syllabus for 2027. Read them online or download the free question-answer PDF.

Chapter 15 of Math Mela is the last chapter of the book. It is about data — the facts and numbers we collect — and about two neat ways to show data as a picture: a pictograph, where a small drawing stands for a number of things, and a bar graph, where a tall bar stands for a big number and a short bar for a small one. Samaira and Kabir count TV hours, Joseph Uncle counts the toys in his shop, Deepti counts scooters on the road, Raman and Sheela record a whole day, and Rani looks at how much food her school throws away.

NCERT Solutions for Class 5 Maths Chapter 15 Data Through Pictures PDF

All the answers are on this page below. The PDF also explains every answer – why it is right and how to check it – so download it for revision.

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Solutions PDF (English medium)Data Through PicturesView PDF
Solutions PDF (Hindi medium)चित्रों के माध्यम से आँकड़ेView PDF

NCERT Solutions for Class 5 Maths Chapter 15 Data Through Pictures – Questions and Answers

All 46 questions of the chapter (textbook pages 179 – 190) are answered below, in the order of the book – in-text questions, activities and the end-of-chapter exercises. Each answer is written the way you would write it in the exam.

Child TV Reporter — Pages 179–180Samaira and Kabir collect data from 35 friends

Child TV Reporter
Q1They collected data from 35 friends and recorded it in a notebook as shown below.
1 hr1½ hr1 hr2 hr½ hr2½ hr1½ hr1 hr½ hr1 hr½ hr2 hr½ hr1 hr1½ hr1½ hr½ hr1 hr1½ hr1 hr½ hr1 hr1 hr1 hr2 hr2½ hr1 hr2½ hr½ hr1 hr½ hr1½ hr1 hr1½ hr½ hr
Page 179 — the notebook page. Each speech bubble is one friend’s answer. There are 35 bubbles in all.

Fill in the table.

No. of Hours Spent Watching TVNo. of Children
½ hour
1 hour
1½ hour
2 hours
More than 2 hours
Page 180 — the table to fill in.
Answer

The completed table (one mark for each speech bubble):

No. of Hours Spent Watching TVNo. of Children
1/2 hour9
1 hour13
1 1/2 hour7
2 hours3
More than 2 hours3
Total35
9 + 13 + 7 + 3 + 3
= 22 + 7 + 3 + 3
= 29 + 3 + 3
= 32 + 3
= 35 ✓
Q2How many children watch TV for more than half an hour?
Answer

26 children.

“More than half an hour” means every child except the ones who watch for exactly half an hour.

13 + 7 + 3 + 3
= 20 + 3 + 3
= 23 + 3
= 26 children
Q3How many children watch TV for less than two hours?
Answer

29 children.

  1. Find the rows that are smaller than 2 hours. They are 1/2 hour, 1 hour and 1 1/2 hour.
  2. Add those three counts.
9 + 13 + 7
= 22 + 7
= 29 children
Q4The number of children who watch TV for more than two hours is ________.
Answer

The number of children who watch TV for more than two hours is 3.

Children who said 2 1/2 hr = 3
Q5More children watch TV for two hours than half an hour. (True/False)
Answer

False.

Children who watch for 2 hours = 3
Children who watch for 1/2 hour = 9
3 < 9, so the statement is False
Q6Can watching TV for a long time be harmful to the eyes?
Answer

Yes, it can. Watching a screen for a long time without a break tires the eyes.

Stock-Taking in a Shop — Pages 180–181Joseph Uncle’s pictograph, and what a scale does

Stock-Taking in a Shop
Q1He notices that there are too many items of each kind in his shop and it is not easy to make a picture for every item. “How can I show these with pictures?” Suggest some ways to him.
Answer

Ways to show many items with pictures:

  • Let one picture stand for many items, e.g. one train = 5 toys. This is using a scale.
  • Use a different picture for each kind of item.
  • Write the key (what one picture stands for) on the chart.
Q2(1) How many toys does Joseph Uncle have? __________
= 5 toys= 5 board games= 5 sports itemsName of the ItemNumber of ItemsToysBoard gamesSports items
Dipesh’s pictograph of the play items in Joseph Uncle’s shop, with its key.
Answer

40 toys.

Number of trains = 8
Each train = 5 toys
Toys = 8 × 5 = 40 toys
Q3(2) How many board games does Joseph Uncle have? __________
= 5 toys= 5 board games= 5 sports itemsName of the ItemNumber of ItemsToysBoard gamesSports items
Dipesh’s pictograph of the play items in Joseph Uncle’s shop, with its key.
Answer

50 board games.

Number of board pictures = 10
Board games = 10 × 5 = 50 board games
Q4(3) How many total play items does Joseph Uncle have? __________
= 5 toys= 5 board games= 5 sports itemsName of the ItemNumber of ItemsToysBoard gamesSports items
Dipesh’s pictograph of the play items in Joseph Uncle’s shop, with its key.
Answer

150 play items in all.

Toys = 8 × 5 = 40
Board games = 10 × 5 = 50
Sports items = 12 × 5 = 60

Total = 40 + 50 + 60
= 90 + 60
= 150 play items
Q5Is there any other scale that you can use to make the pictograph? Choose your scale and show the same data using a pictograph in your notebook.
= 5 toys= 5 board games= 5 sports itemsName of the ItemNumber of ItemsToysBoard gamesSports items
Dipesh’s pictograph of the play items in Joseph Uncle’s shop, with its key.
Answer

Yes. A scale of 10 works very well here. All three numbers — 40, 50 and 60 — divide by 10 exactly.

Toys: 40 ÷ 10 = 4 pictures
Board games: 50 ÷ 10 = 5 pictures
Sports items: 60 ÷ 10 = 6 pictures
ToysBoard gamesSports items Key: one picture = 10 items Same data, half as many pictures to draw.
The same 150 items shown with a scale of 10 instead of 5. Only 15 pictures now, instead of 30.

Two-wheelers on the Road — Pages 181–182Deepti’s pictograph, where one icon stands for 3

Two-wheelers on the Road
Q1Which day had the most two-wheelers passing her house? ________
DayNumber of Two-wheelers= 3 two-wheelersMondayWednesdayFriday
Deepti’s pictograph of the two-wheelers that passed her house in one hour on three days.
Answer

Friday. On Friday 36 two-wheelers went past Deepti’s house.

Monday: 8 scooters = 8 × 3 = 24
Wednesday: 4 scooters = 4 × 3 = 12
Friday: 12 scooters = 12 × 3 = 36

36 is the biggest, so Friday had the most
Q2How many total two-wheelers did she record over three days? ________
DayNumber of Two-wheelers= 3 two-wheelersMondayWednesdayFriday
Deepti’s pictograph of the two-wheelers that passed her house in one hour on three days.
Answer

72 two-wheelers.

  1. Work out each day. Monday 8 × 3 = 24. Wednesday 4 × 3 = 12. Friday 12 × 3 = 36.
  2. Add the three days.
24 + 12 + 36
= 36 + 36
= 72 two-wheelers
Q3How many fewer two-wheelers were seen on Wednesday than on Monday? ________
DayNumber of Two-wheelers= 3 two-wheelersMondayWednesdayFriday
Deepti’s pictograph of the two-wheelers that passed her house in one hour on three days.
Answer

12 fewer.

Monday = 8 × 3 = 24
Wednesday = 4 × 3 = 12
24 − 12 = 12 fewer two-wheelers
Q4How many more two-wheelers were seen on Friday than on Wednesday? ___________
DayNumber of Two-wheelers= 3 two-wheelersMondayWednesdayFriday
Deepti’s pictograph of the two-wheelers that passed her house in one hour on three days.
Answer

24 more.

Friday = 12 × 3 = 36
Wednesday = 4 × 3 = 12
36 − 12 = 24 more two-wheelers
Q5Choose any other scale and represent the same data using a pictograph in your notebook.
DayNumber of Two-wheelers= 3 two-wheelersMondayWednesdayFriday
Deepti’s pictograph of the two-wheelers that passed her house in one hour on three days.
Answer

A scale of 6 works well here — 24, 12 and 36 all divide by 6.

Monday: 24 ÷ 6 = 4 scooters
Wednesday: 12 ÷ 6 = 2 scooters
Friday: 36 ÷ 6 = 6 scooters
MondayWednesdayFriday 4 × 6 = 24 2 × 6 = 12 Key: one scooter = 6 two-wheelers Half the pictures, exactly the same data.
The same three days drawn with a scale of 6. Friday’s row is still the longest — the story does not change.

Recording a Day — Pages 182–183Raman’s table and Sheela’s bar graph

Recording a Day
Q1Raman recorded his daily routine in the table below, using one square for one hour (□ = 1 hour). Read his table and write the number of hours he spent on each activity.
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Page 182 — Raman’s table. Each blue square stands for one hour.
Answer

Count the blue squares in each row. One square is one hour.

ActivitySquares countedNo. of hours
Time spent sleeping9 squares9 hours
Time in school6 squares6 hours
Time spent studying2 squares2 hours
Time spent eating and playing6 squares6 hours
Other activities1 square1 hour
Total24 squares24 hours
9 + 6 + 2 + 6 + 1
= 15 + 2 + 6 + 1
= 17 + 6 + 1
= 23 + 1
= 24 hours ✓
Q2How is Sheela’s recording different from Raman’s recording? Discuss in class.
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

Raman drew squares, one for each hour. Sheela drew one tall bar for each activity. Both show the same kind of information, but in different ways.

Raman’s waySheela’s way
A pictograph — small squares in a rowA bar graph — upright bars
You must count the squares one by oneYou just read how high the bar reaches
Rows go across the pageBars stand up from a base line
Only whole hours can be shown, one square eachA bar can also stop half-way, so half hours can be shown
Long rows take a lot of spaceA tall bar takes very little space
Q3Whose daily routine shows more time spent on sleeping? _____________________
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

Raman. He sleeps for 9 hours; Sheela sleeps for 8 hours.

Raman sleeps 9 hours
Sheela sleeps 8 hours
9 > 8, so Raman sleeps more
He sleeps 9 − 8 = 1 hour more
Q4Who spends more hours in the school? _____________________
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

Sheela. She spends 7 hours in school; Raman spends 6 hours.

Sheela = 7 hours
Raman = 6 hours
7 − 6 = 1 hour more for Sheela
Q5How many more hours does Sheela spend studying compared to Raman? ______________________
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

2 hours more.

Sheela = 4 hours
Raman = 2 hours
4 − 2 = 2 hours more
Q6Is there any activity on which they spend the same amount of time? If yes, name the activity _________________________
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

No. There is no activity on which they spend the same amount of time.

ActivityRamanSheelaSame?
Sleeping9 h8 hNo
Time in school6 h7 hNo
Studying2 h4 hNo
Eating and playing6 h3 hNo
Other activities1 h2 hNo
Total24 h24 hYes — the whole day
Q7Based on their data, whose routine do you think is more balanced? Why? ___________________________________
ActivitiesNo. of Hours (□ = 1 hour)
Time spent sleeping
Time in school
Time spent studying
Time spent eating and playing
Other activities
Raman’s record of his day. Each blue square stands for one hour.
012345678910Number of HoursSleepingTime inschoolStudyingEating andplayingOtheractivitiesActivities →
Sheela’s record of her day, drawn as a bar graph.
Answer

Sheela’s routine is more balanced.

Sample answer: Sheela sleeps 8 hours, spends 7 hours in school, studies 4 hours and still has 3 hours for eating and playing, so every part of her day gets a fair share. Raman studies only 2 hours but spends 6 hours eating and playing.

Day in My Life — Pages 183–184Record your own 24 hours and draw your own bar graph

Day in My Life
Q1Record your daily routine (24 hours) in hours and minutes, as necessary. Note the time spent on activities like sleeping, studying, playing, eating, and others. Fill the table.
ActivityNo. of Hours
Sleeping
Time in school
Studying
Eating
 
 
Page 184 — the blank table to fill in with your own day.
Answer

Your table will show your own day; the hours must add up to 24.

ActivityNo. of Hours
Sleeping9 hours
Time in school6 hours
Studying (homework at home)2 hours
Eating1 hour 30 minutes
Playing2 hours
Travel, bath, helping at home, TV3 hours 30 minutes
Total24 hours
9 + 6 + 2 = 17 hours
1 h 30 min + 2 h + 3 h 30 min = 7 hours
17 + 7 = 24 hours ✓
Q2Make a bar graph of the time you spend on different activities in the space given below.
0123456789Number of HoursSleepingTime inSchoolStudyingEatingActivities
The empty graph printed on page 184 for your bar graph, marked 0 to 9 hours, with the activity names along the bottom.
Answer

Turn each row of your table into one bar. Here is the sample table from the last question drawn as a bar graph.

0123456789 9621 1/223 1/2 SleepingSchoolStudyingEatingPlayingOther Number of Hours Activities
Sample bar graph of one child’s day. All six bars together stand for 24 hours.

Whose Index Finger is Longer? — Pages 184–185A bar graph made from paper strips

Whose Index Finger is Longer?
Q1Cut long paper strips from waste paper. Give one strip (each of the same width) to each of your friends. Now, put the paper strip on your index finger and tear off the extra strip extending above your fingers. Paste these paper strips along the horizontal line in the given bar graph.
Paste the strips in the space given below.123456789101 cmMine________________________________
Page 185 — the blank bar graph. The scale is 1 cm for each unit on the upright line.
Answer

This activity turns real fingers into a real bar graph. The strips are the bars.

012345678910 65 1/276 1/25 MineAshaImranDivyaRavi Length in cm Imran’s strip is the tallest; Ravi’s is the shortest.
Sample answer: five pasted strips make a bar graph of index-finger lengths. Your own graph will have your friends’ names and lengths.
Q2Whose index finger is the longest? ________ .
Answer

The answer comes from your own graph — it is the friend whose strip reaches highest.

Sample answer: In the graph above, Imran has the longest index finger. His strip reaches the line marked 7.

Q3The length of the longest index finger is _________ cm.
Answer

Read the number where the tallest strip stops.

Sample answer: The longest index finger is 7 cm long.

Q4The smallest index finger is ___________ cm long.
Answer

Now find the shortest strip and read its height in the same way.

Sample answer: The smallest index finger is 5 cm long.

Q5It belongs to __________.
Answer

Read the name written in the box under the shortest strip.

Sample answer: The smallest index finger, 5 cm long, belongs to Ravi.

Food Wastage in the School Canteen — Pages 185–186Rani’s dining hall notice board and the food wastage bar graph

Food Wastage in the School Canteen
Q1Rani stays in a residential school. Her school’s dining hall displays the amount of food wasted and the number of children the food could have fed. Read the notice board — what does it say?
NOTICE BOARD Take all you can eat. Eat all you take. Yesterday’s food wastage was 13 kg, which could have fed 25 people.
The notice board in Rani’s school dining hall.
Answer

The notice board in the dining hall says:

  • Take all you can eat. Eat all you take. — the rule of the dining hall.
  • Yesterday’s food wastage was 13 kg, which could have fed 25 people.
Q2Rani was shocked to see the data. What do you think about food wastage? How can we reduce the wastage of food? What can we do with the leftover food?
Answer

Wasting food is wrong: the food could have fed hungry people, and the farmer’s work, water and fuel are wasted too. We can reduce it by taking small helpings and finishing our plates. Fresh leftover food can be given to people in need; scraps can go to animals or a compost pit.

Q3Which food item had the highest amount of wastage? _____________
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer

Khichdi, on Wednesday. 8 kg of khichdi was wasted.

Sandwich (Monday) = 5 kg
Paratha (Tuesday) = 6 kg
Khichdi (Wednesday) = 8 kg ← highest
Puri-Sabzi (Thursday) = 7 kg
Idli-Sambar (Friday) = 4 kg
Q4Which food item had the least amount of wastage? _______________
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer

Idli-Sambar, on Friday. Only 4 kg was wasted.

The five amounts in order, smallest first:
4 kg (Idli-Sambar) < 5 kg (Sandwich) < 6 kg (Paratha) < 7 kg (Puri-Sabzi) < 8 kg (Khichdi)
Least = Idli-Sambar, 4 kg
Q5How much total food wastage was recorded in these days? _________________
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer

30 kg in the five days.

5 + 6 = 11
11 + 8 = 19
19 + 7 = 26
26 + 4 = 30 kg
Q6If 1 kg of food waste can feed 3 children, how many children could have been fed with the total food wasted? ________________
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer

90 children.

Total food wasted = 30 kg
1 kg feeds 3 children
30 kg feeds 30 × 3
= 90 children
Q7_______ day had less food wastage than _______ day.
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer
  • Friday day had less food wastage than Wednesday day. (4 kg < 8 kg)
  • Monday day had less food wastage than Thursday day. (5 kg < 7 kg)
  • Tuesday day had less food wastage than Wednesday day. (6 kg < 8 kg)
Q8If the same food items are to be repeated next week, can you predict which food item is likely to be wasted the most?
Food Wastage (kg)0123456789SandwichMondayParathaTuesdayKhichdiWednesdayPuri-SabziThursdayIdli-SambarFriday
Rani’s school: food wasted on each weekday, in kilograms.
Answer

Yes — khichdi is likely to be wasted the most again.

Khichdi wastage this week = 8 kg (the highest)
Same children + same dish → khichdi is likely to be wasted most again

True or False — Page 187Reading data straight from a picture of a group of children

True or False
Q1Observe the picture carefully.
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.

True or False: All girls are wearing glasses.

Answer

False. Only 3 of the 8 girls are wearing glasses.

Girls = 8
Girls wearing glasses = 3
3 ≠ 8, so the statement is False
Q2
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: 10 children are wearing caps on their heads.
Answer

True. Exactly 10 children are wearing red caps.

Back row caps = 5
Front row caps = 5
5 + 5 = 10 caps
The statement says 10, so it is True
Q3
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: More boys are holding books than girls.
Answer

False. The same number of boys and girls are holding books — 7 each.

Boys holding books = 7
Girls holding books = 7
7 = 7, so “more boys than girls” is False
The correct sentence is: as many boys as girls are holding books
Q4
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: More than half of the children are wearing glasses.
Answer

False. 7 of the 17 children wear glasses, and 7 is less than half of 17.

Total children = 17
Children with glasses = 7
Half of 17 = 17 ÷ 2 = 8 1/2
7 < 8 1/2, so less than half wear glasses → False
Q5
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: The number of children holding books is greater than the number of children wearing caps.
Answer

True. 14 children are holding books and only 10 are wearing caps.

Children holding books = 14
Children wearing caps = 10
14 > 10, so the statement is True
There are 14 − 10 = 4 more book-holders than cap-wearers
Q6
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: The number of boys wearing glasses is greater than the number of girls wearing glasses.
Answer

True. 4 boys wear glasses and 3 girls wear glasses.

Boys wearing glassesGirls wearing glasses
Back row: 3 boysBack row: 1 girl
Front row: 1 boyFront row: 2 girls
Total 4Total 3
Q7
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: Some children are wearing both glasses and caps.
Answer

True. Six children are wearing a cap and glasses at the same time.

Children with glasses = 7
Of these, children who also wear a cap = 3 + 3 = 6
6 is more than zero, so “some” is True
Q8
Figure
Page 187 — the group of children, redrawn. Back row: 9 children. Front row: 8 children. Girls wear a blue pinafore with a skirt; boys wear a cream shirt with shorts.
True or False: There is no child who has all three items — a cap, a book and a backpack.
Answer

False. There is such a child — the girl standing at the far left of the back row.

Child with a backpackCap?Book?All three?
Girl at the far left, back row (with a plait)YesYesYes
Girl at the far left, front row (waving)YesNoNo
Boy in the front row shaking handsYesNoNo
Boy at the far right, front rowNoNoNo

Chapter 15 of 15 – Maths

Also for This Chapter

NCERT Solutions Class 5 Maths Chapter 15 Data Through Pictures – Overview

ClassClass 5
SubjectMaths
Chapter15 – Data Through Pictures
Textbook pages179 – 190
Questions solved46
Session2027
FormatFull answers on this page + PDF

NCERT Solutions Class 5 Maths Chapter 15 – FAQs

Where can I download NCERT Solutions Class 5 Maths Chapter 15 Data Through Pictures PDF?

Read every answer on this page, or download the free PDF from the table at the top.

Is this for the 2027 session?

Yes, it follows the latest NCERT Class 5 Maths book for 2027.

How many questions are solved in NCERT Class 5 Maths Chapter 15?

All 46 questions of the chapter (textbook pages 179 – 190) – the in-text questions, activities and the end-of-chapter exercises.

How should I use these solutions?

Read the chapter in the NCERT book first, attempt the questions yourself, then check your answers here.

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