NCERT Solutions Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar

F R E E S T U D Y M AT E R I A L F O R E V E R Y S T U D E N T

C L A S S 4 · M AT H S

NCERT Solutions

Chapter 12: Ticking Clocks and
Turning Calendar

NCERT Textbook — Math Mela

BOOK PAGES SECTIONS QUESTIONS MEDIUM

175 – 183 9 27 English

Solutions, notes, sample papers & more at 40 pages

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

CLASS 4 · MATHS · MATH MELA

NCERT Solutions — Chapter 12: Ticking Clocks and
Turning Calendar
This chapter takes you round the calendar and round the clock. You count days in a month, find leap years,
read dates like 04/07/2024, learn AM and PM, and add minutes to find a new time.

TEXTBOOK BOOK PAGES

Math Mela (Class 4) 175 – 183

SECTIONS QUESTIONS

9 27

MEDIUM

English

Let Us Do — Pages 175 – 177

Page 1 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Ticking Clocks and Turning Calendar

Q1 Notice the number of days in February in the years 2024 and 2025. Number of days
in Feb 2024 = _____________ Number of days in Feb 2025 = _____________

FEB 2024

SUN MON TUE WED THU FRI SAT

1 2 3

4 5 6 7 8 9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29

FEB 2025

SUN MON TUE WED THU FRI SAT

1

2 3 4 5 6 7 8

9 10 11 12 13 14 15

16 17 18 19 20 21 22

23 24 25 26 27 28

The two February pages of the calendar, exactly as the book prints them.

ANSWER

FEB 2024

SUN MON TUE WED THU FRI SAT

1 2 3

Page 2 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

4 5 6 7 8 9 10

11 12 13 14 15 16 17

18 19 20 21 22 23 24

25 26 27 28 29

FEB 2025

SUN MON TUE WED THU FRI SAT

1

2 3 4 5 6 7 8

9 10 11 12 13 14 15

16 17 18 19 20 21 22

23 24 25 26 27 28

The two February pages of the calendar, exactly as the book prints them.

Look at the last date printed in each calendar page.

Number of days in Feb 2024 = 29

Number of days in Feb 2025 = 28

29 − 28 = 1 extra day in 2024

So February 2024 had 29 days and February 2025 had 28 days.

Why it happens: 2024 is a leap year. In a leap year February gets one extra day, so it
ends on 29 instead of 28.

Tip: Parv says he was born on 29 February 2016. That date comes only in a leap year,
so his birthday falls once in four years.

Page 3 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
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co m
m.
Fill in the blanks with consecutive leap years before and after 2024. ________, ________,
e
Q2

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2024, ________, ________, ________

a g
se m
g l a
a
ANSWER

Leap years come after every 4 years. So jump back by 4 twice, and jump forward by 4 three

m
times.
. co ag
em
g l as
a
Going back: 2024 − 4 = 2020, 2020 − 4 = 2016

Going ahead: 2024 + 4 = 2028, 2028 + 4 = 2032, 2032 + 4 = 2036

co m
em.
m l as
The line is filled like this:

.co a g
a s em2020, 2024, 2028, 2032, 2036
a gl 2016,

m a s
.co
Why it happens: The extra day is added once in four years, so the leap years are
m agl
spaced 4 years apart.
l a se
a g
Check it yourself: Count on your fingers in fours from 2016: 2016, 2020, 2024, 2028,
co m
m .
e
2032, 2036. Every one of them has 29 February.
m l as
m .co a g
l a se
ag Q3 We know that most years have 365 days. How many days would a leap year have?

se m
com g l a
m . a
e
ANSWER

s
A leap year has one extra day inaFebruary.
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a g
365 + 1 = 366 days
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m .
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So a leap year has 366 days.
a g l
se m
g l a
a Why it happens: In an ordinary year February has 28 days. In a leap year it has 29
c
m .
days, which is 1 day more, so the whole year is 1 day longer.
m a s e
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g l as
a

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m ase
.co


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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Q4 Write the names of the months when you celebrate your favourite festivals. (Name
of the Festival / Name of the Month)

ANSWER

This one you fill from your own year. Do it like this:

1. Write down four or five festivals your family celebrates.
2. Find each festival on this year’s calendar.
3. Write the name of the month in which that date falls.

Sample answer:

NAME OF THE FESTIVAL NAME OF THE MONTH

Pongal / Makar Sankranti January

Holi March

Raksha Bandhan August

Diwali October or November

Christmas December

Tip: A few festivals, such as Id and Guru Nanak Jayanti, follow the moon. Their
month changes a little every year, so look them up on this year’s calendar.

Q5 Answer the following questions by writing the appropriate days of the week: a)
Today: _______ b) Yesterday: _______ c) Tomorrow: _______ d) Day after tomorrow: _______
e) Day before yesterday: _______

ANSWER

Start from the day it is today, and then count one step back or one step forward.

Yesterday is one day before today.
Tomorrow is one day after today.
Day after tomorrow is two days after today.
Day before yesterday is two days before today.

Page 5 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Sample answer: Suppose today is Wednesday.

QUESTION DAY

a) Today Wednesday

b) Yesterday Tuesday

c) Tomorrow Thursday

d) Day after tomorrow Friday

e) Day before yesterday Monday

Why it happens: The seven days come in a fixed ring — Sunday, Monday, Tuesday,
Wednesday, Thursday, Friday, Saturday — and then Sunday again. So you only have
to step round the ring.

Q6 July 1 is a Monday. Write the dates for the next two Mondays.
___________________________________________

ANSWER

A week has 7 days, so the next Monday comes 7 days later.

1+7=8

8 + 7 = 15

The next two Mondays are July 8 and July 15.

Page 6 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

JULY

SUN MON TUE WED THU FRI SAT

1 2 3 4 5 6

7 8 9 10 11 12 13

14 15 16 17 18 19 20

21 22 23 24 25 26 27

28 29 30 31

July with 1 on a Monday. The next two Mondays are ringed.

Why it happens: Every column of a calendar holds one weekday. Going straight
down a column means adding 7 each time.

Tip: The Mondays of that July are 1, 8, 15, 22 and 29 — all seven apart.

Q7 Laali is born on 04/07/2014 and Chotu is born on 04/12/2019. Who is older among
the two and how much? Laali will turn 5 years old on ______________. Chotu’s 10th
birthday will be celebrated on ________________.

ANSWER

Both dates are in DD/MM/YYYY form. So Laali was born on 4 July 2014 and Chotu on 4 December
2019.
Who is older? The one born earlier is older, and 2014 comes before 2019. So Laali is older.

From 4 July 2014 to 4 July 2019 → 5 years

From 4 July 2019 to 4 December 2019 → July, August, September, October, November → 5

months

Laali is older by 5 years 5 months

Laali will turn 5 years old on 04/07/2019 (4 July 2019).

Page 7 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Birth year 2014 + 5 = 2019, same day and month → 04/07/2019

Chotu’s 10th birthday will be celebrated on 04/12/2029 (4 December 2029).

Birth year 2019 + 10 = 2029, same day and month → 04/12/2029

Why it happens: A birthday comes back on the same day and the same month every
year, so only the year number changes.

Tip: Both children were born on the 4th, so you only have to compare the month and
the year.

Q8 Check the manufacturing and expiry dates on the wrapper of any biscuit packet. a)
How old is the packet of biscuits? Answer: ____ months ____ days. b) How many more
days are the biscuits safe to eat? Answer: ____ months ____ days.

ANSWER

Do it with a real packet:

1. Find MFG (the making date) and EXP (the last safe date) on the wrapper.
2. For part a), count from the MFG date up to today.
3. For part b), count from today up to the EXP date.
4. Count whole months first, then the leftover days.

Sample answer: Say the wrapper shows MFG 15/05/2025 and EXP 15/11/2025, and
today is 20/08/2025.

a) 15 May → 15 August = 3 months, then 15 August → 20 August = 5 days

The packet is 3 months 5 days old.

b) 20 August → 20 October = 2 months

20 October → 31 October = 11 days, then 11 + 15 = 26 days

The biscuits are safe for 2 months 26 days more.

Page 8 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
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co m
m.
Tip: Always count the months first and the loose days afterwards. It is much easier

m as e
l
than counting every single day.

m .co a g
l a se
a g
Q9 Notice the day on which July 15 falls in your calendar. Now find out what day is

co m
ag
August 15? September 15? October 15? What pattern do you notice? Share in grade.

m .
e
Now choose a date and look up the day on which it falls. Challenge your friends to

g l as
guess what day will the same date fall in the following month.
a

co m
ANSWER

Look up 15 July in this year’s calendar, then the 15th of the next three months.
e m.
m l as
.co a g
The pattern: the day of the week moves forward each month, by as many days as the month

se m
has beyond full weeks.

g l a
a
s
July has 31 days → 31 = 7 + 7 + 7 + 7 + 3 → move forward 3 days
m a
August has 31 days → move forward 3 days
m .co agl
l a se
a g
September has 30 days → 30 = 7 + 7 + 7 + 7 + 2 → move forward 2 days

co m
Sample answer: Suppose 15 July is a Tuesday.
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g GOT IT
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DATE DAY WE

a
agl 15 July Tuesday given

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15 August
com
Tuesday + 3
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Friday

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m
ase
agl
15 September Monday Friday + 3

15 October Wednesday Monday + 2

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m .
o m l a se
The game: pick any date, look up its day, and count how many days your month has. Add 3 for a

m .c month, add 2 for a 30-day month, and you can name atheg day in the next month before
se your friend finds it.
31-day
a
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Why it happens: A week is 7 days long. A 31-day month is 4 full weeks and 3 days
a s e
m . co
over, so the same date lands 3 weekdays later next month.
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g l as
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m as e
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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Let Us Explore — Page 177
Names of the months in other calendars

Q1 Find out when the year begins in each of these calendars.

ANSWER

Ask at home or look at a panchang or a wall calendar. Different calendars start the year on
different days.

Sample answer:

CALENDAR THE YEAR BEGINS ON AROUND THIS ENGLISH
MONTH

Hindu (Vikram Chaitra Shukla Pratipada (Gudi Padwa, March or April
Samvat) Ugadi)

Islamic (Hijri) 1 Muharram moves back about 11 days every
year

Sikh (Nanakshahi) 1 Chet 14 March

Tamil Puthandu, 1 Chithirai 14 April

Bengali Pohela Boishakh 14 or 15 April

Why it happens: The English calendar follows the Sun, so its New Year is fixed on 1
January. The Islamic calendar follows the Moon only, so its New Year keeps sliding
earlier.

Q2 Check how the names of the months in these calenders correspond to the months
in the English calendar.

ANSWER

Put the two lists side by side and see which English months each one covers.

Page 10 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Sample answer:

HINDU MONTH FALLS IN HINDU MONTH FALLS IN

Chaitra March–April Ashwin September–October

Vaishakh April–May Kartik October–November

Jyeshtha May–June Margashirsha November–December

Ashadh June–July Paush December–January

Shravan July–August Magh January–February

Bhadrapad August–September Phalgun February–March

Each of these months sits across two English months, not inside one. The Islamic months
(Muharram, Safar, Rabi-ul-Awwal, …) do not stay with the same English month at all.

Why it happens: These months are counted from one new moon to the next, which
is about 29 or 30 days. That does not match the English months, which have 28 to 31
days and are counted from the Sun.

Q3 Identify the months from the Hindu/Islamic/Sikh or any other calendar in which
some of the important festivals of the community fall.

ANSWER

Take the festivals your family keeps and find the month each one falls in.

Page 11 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Sample answer:

FESTIVAL MONTH OF THE COMMUNITY CALENDAR

Holi Phalgun (full moon)

Raksha Bandhan Shravan (full moon)

Janmashtami Bhadrapad

Diwali Kartik (new moon)

Guru Nanak Jayanti Kartik (full moon)

Baisakhi 1 Vaisakh

Id-ul-Fitr 1 Shawwal

Id-ul-Zuha (Bakrid) 10 Zil-Hijjah

Tip: Notice how many festivals sit on a full moon or a new moon day. That is why
their English date changes every year.

Q4 Identify the dates of the new moon and full moon in your community’s calendar
every month. Do you notice any pattern?

ANSWER

Mark the new moon and the full moon of three months on the calendar, then look at the gaps.
The pattern: a new moon and the next full moon are about 15 days apart, and the next new
moon comes about 15 days after that.

New moon → full moon = about 15 days

Full moon → next new moon = about 15 days

15 + 15 = about 30 days → one moon month

Sample answer: In one month you will find one new moon and one full moon,
roughly a fortnight apart — for example new moon on 1 and full moon on 16.

Page 12 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Why it happens: The Moon takes about 29 or 30 days to go from one new moon to
the next. Half of that time it is growing and half of that time it is shrinking.

Q5 How are the full moon or new moon days named in your community’s calendar?

ANSWER

They have their own names, and many festivals are named after them.

The full moon day is called Purnima (Poornima).
The new moon day is called Amavasya.

Sample answer:

DAY NAME IN THE MONTH WHAT HAPPENS

Full moon Guru Purnima (Ashadh) teachers are honoured

Full moon Sharad Purnima (Ashwin) the brightest autumn moon

Full moon Kartik Purnima Guru Nanak Jayanti

New moon Kartik Amavasya Diwali

New moon Mahalaya Amavasya before Navratri

Tip: In Tamil the full moon is called Pournami and the new moon Amavasai. Ask at
home what they are called in your language.

In-text Questions — Page 178

Page 13 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
a g l AglaSem · NCERT Solutions

How many hours in a day?
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Q1
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Look at the picture below. It shows the time spent on different activities by a
m a g
l a se
doctor. Write the number of hours spent on each activity in the space provided.

a g

co m
e m . ag
l as
Wakes up

a g Leaves for
hospital
…… Hrs Reaches

m
hospital

co
m.
6:00
5:00 7:00 …… Hrs

as e
4:00 8:00

m l
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read nd gets
a g

to H to go
tal
3:00 9:00

m
ase
ospi
sa
…… Hrs

y
agl Cook
2:00 10:00

Sleeps
1:00 11:00

m a s
m .co agl
se
12:00 12:00

g l a Stays at …… Hrs

a
Hospital
11:00 1:00
d er

m
hild time
an inn
TV

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10:00 2:00
ren

Resting
D

.
Cooking
wit ding

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hc
n

9:00 3:00

m
Spe

l
time

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…… Hrs 8:00 4:00

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ase
7:00 5:00
6:00

agl
…… Hrs
…… Hrs

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…… Hrs

com a
…… Hrs Reaches Leaves for

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home home

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The doctor’s day drawn as a 24-hour wheel. Each dotted box asks for the number of
hours between two marks.
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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Wakes up

Leaves for
hospital
…… Hrs Reaches
hospital
6:00
5:00 7:00 …… Hrs
4:00 8:00

read nd gets
to H to go
3:00

al
9:00

ospit
sa
…… Hrs

y
Cook
2:00 10:00

Sleeps
1:00 11:00

12:00 12:00

Stays at …… Hrs
Hospital
11:00 1:00
d er
an inn

hild time
TV

10:00 2:00
ren
D

Resting ti
wit ding

Cooking
hc
n

9:00 3:00
Spe

me

…… Hrs 8:00 4:00
7:00 5:00
6:00
…… Hrs
…… Hrs
…… Hrs
…… Hrs Reaches Leaves for
home home

The doctor’s day drawn as a 24-hour wheel. Each dotted box asks for the number of hours between
two marks.

Read the two marks at the ends of each dotted box and count the hours between them.

Page 15 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

FROM TO WHAT THE DOCTOR DOES HOURS

6 o’clock morning 8 o’clock morning Cooks and gets ready to go to Hospital 2 Hrs

8 o’clock morning 9 o’clock morning Goes to the hospital 1 Hr

9 o’clock morning 4 o’clock evening Stays at Hospital 7 Hrs

4 o’clock evening 5 o’clock evening Comes back home 1 Hr

5 o’clock evening 6 o’clock evening Resting time 1 Hr

6 o’clock evening 7 o’clock evening Cooking 1 Hr

7 o’clock evening 8 o’clock evening Spending time with children 1 Hr

8 o’clock evening 10 o’clock night Dinner and TV 2 Hrs

10 o’clock night 6 o’clock next morning Sleeps 8 Hrs

Page 16 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Wakes up

Leaves for
hospital
2 Hrs Reaches
hospital
6:00
5:00 7:00 1 Hr
4:00 8:00

read nd gets
to H to go
3:00

al
9:00

ospit
sa
8 Hrs

y
Cook
2:00 10:00

Sleeps
1:00 11:00

12:00 12:00

Stays at 7 Hrs
Hospital
11:00 1:00
d er
an inn

hild time
TV

10:00 2:00
ren
D

Resting ti
wit ding

Cooking
hc
n

9:00 3:00
Spe

me

2 Hrs 8:00 4:00
7:00 5:00
6:00
1 Hr
1 Hr
1 Hr
1 Hr Reaches Leaves for
home home

The same wheel with every dotted box filled in.

2 + 1 + 7 + 1 + 1 + 1 + 1 + 2 + 8 = 24 Hrs

Why it happens: Between two marks on the wheel you simply count the hour steps,
the same way you count steps on a number line.

Tip: In the picture the shaded band marked Stays at Hospital reaches up to 5 o’clock,
but the mark Leaves for home is placed at 4 o’clock. Count from the marks: 7 hours at
the hospital and 1 hour on the way home.

Page 17 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Q2 Then, find the total number of hours between 6 o’clock morning to 6 o’clock evening
and 6 o’clock morning of the next day. The total number of hours is ________ .

Wakes up

Leaves for
hospital
…… Hrs Reaches
hospital
6:00
5:00 7:00 …… Hrs
4:00 8:00

read nd gets
to H to go
tal
3:00 9:00

ospi
sa
…… Hrs

y
Cook
2:00 10:00

Sleeps
1:00 11:00

12:00 12:00

Stays at …… Hrs
Hospital
11:00 1:00
d er

hild time
an inn
TV

10:00 2:00
ren

Resting
D

Cooking
wit ding
hc
n

9:00 3:00
Spe

time

…… Hrs 8:00 4:00
7:00 5:00
6:00
…… Hrs
…… Hrs
…… Hrs
…… Hrs Reaches Leaves for
home home

The doctor’s day drawn as a 24-hour wheel. Each dotted box asks for the number of
hours between two marks.

ANSWER

Page 18 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
a g l AglaSem · NCERT Solutions

co m
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m l as
m .co a g
ase
Wakes up

agl
Leaves for
hospital
…… Hrs Reaches
hospital

m
.co ag
6:00
5:00 7:00 …… Hrs

sem
4:00 8:00

a
agl

read nd gets
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3:00

al
9:00

ospit
sa
…… Hrs

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Cook
2:00 10:00

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m.
Sleeps

as e
1:00 11:00

m l
.co a g
a s em 12:00 12:00

ag l Stays at
Hospital
…… Hrs
11:00 1:00

m a s
.co agl
d er
an inn

hild time
TV

m
10:00 2:00
ren

se
D

Resting ti
wit ding

Cooking

g l a
hc
n

a
9:00 3:00
Spe

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…… Hrs 8:00 4:00

m
7:00 5:00

co
6:00
…… Hrs

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m
…… Hrs

as e
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…… Hrs

m a
Leaves for

se
…… Hrs Reaches
home

a
home

ag l
se m
com g l a
.
The doctor’s day drawn as a 24-hour wheel. Each dotted box asks for the number of hours between
m a
ase
two marks.

agl
Count the two halves of the wheel one after the other.

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6 o’clock morning → 6 o’clock evening = 12 hours
c
.6 o’clock evening → 6 o’clock next morning = 12 hours a g
se m
g l a
a 12 + 12 = 24 hours
c
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m a s e
The total number of hours is 24.
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.co


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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Check it yourself: Add up the nine parts of the doctor’s day: 2 + 1 + 7 + 1 + 1 + 1 + 1
+ 2 + 8 = 24. The same answer.

Why it happens: A clock face shows only 12 hours. In one full day the hour hand
goes round it twice, so a day has 12 + 12 = 24 hours.

In-text Questions — Pages 179 – 180

Page 20 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

AM and PM

Q1 Read the following table and see how we read and write time using AM/PM and the
digital clock. Discuss what you notice about the two different ways.

TIME IN AM/PM TIME IN THE DIGITAL CLOCK

12:00 AM 00:00 hours

1:00 AM 1:00 hours

3:00 AM 3:00 hours

7:15 AM 7:15 hours

9:45 AM _______

_______ 11:20 hours

12:00 PM 12:00 hours

1:00 PM 13:00 hours

3:00 PM _______

5:20 PM _______

_______ 20:00 hours

11:45 PM 23:45 hours

The table printed on page 180.

ANSWER

TIME IN AM/PM TIME IN THE DIGITAL CLOCK

12:00 AM 00:00 hours

1:00 AM 1:00 hours

3:00 AM 3:00 hours

Page 21 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

7:15 AM 7:15 hours

9:45 AM _______

_______ 11:20 hours

12:00 PM 12:00 hours

1:00 PM 13:00 hours

3:00 PM _______

5:20 PM _______

_______ 20:00 hours

11:45 PM 23:45 hours

The table printed on page 180.

Here is what the table shows.

The AM/PM way uses only the numbers 1 to 12, and then adds AM or PM to say which half of
the day it is.
The digital clock way uses the numbers 0 to 23, so it needs no AM and no PM.
For every morning time the two numbers are the same — 3:00 AM is 3:00 hours, 7:15 AM is
7:15 hours.
Midnight is the one morning time that changes: 12:00 AM becomes 00:00 hours.
After 12 noon you add 12 to the hour: 1:00 PM becomes 13:00 hours, 11:45 PM becomes
23:45 hours.
The minutes never change. Only the hour number changes.

Why it happens: A day has 24 hours but a clock face has only 12 numbers. AM and
PM tell us which round of the 12 we are in; the digital clock counts straight on from 0
to 23 instead.

Tip: AM means the time from midnight to noon, and PM means the time from noon
to midnight. 8:00 AM is breakfast time; 8:00 PM is dinner time.

Page 22 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Q2 Fill in the blanks by writing time in the appropriate format.

TIME IN AM/PM TIME IN THE DIGITAL CLOCK

12:00 AM 00:00 hours

1:00 AM 1:00 hours

3:00 AM 3:00 hours

7:15 AM 7:15 hours

9:45 AM _______

_______ 11:20 hours

12:00 PM 12:00 hours

1:00 PM 13:00 hours

3:00 PM _______

5:20 PM _______

_______ 20:00 hours

11:45 PM 23:45 hours

The table printed on page 180.

ANSWER

TIME IN AM/PM TIME IN THE DIGITAL CLOCK

12:00 AM 00:00 hours

1:00 AM 1:00 hours

3:00 AM 3:00 hours

7:15 AM 7:15 hours

9:45 AM _______

Page 23 of 40

as e
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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
g l AglaSem · NCERT Solutions

co m
m.
_______ 11:20 hours

m as e
12:00 PM
.co
12:00 hours
a g l
se m
g l a
1:00 PM 13:00 hours
a
3:00 PM _______

co m
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5:20 PM _______

l a
_______
ag 20:00 hours

co m
11:45 PM 23:45 hours

em.
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The table printed on page 180.

. a g
e m
g l
Use asthe rule from the table: before noon the numbers match, after noon add 12 to the hour.
a
om a s
agl
9:45 AM → morning, so it stays the same → 9:45 hours
. c
s e m → 11:20 AM
a
11:20 hours → less than 12, so it is morning

agl hours
3:00 PM → 3 + 12 = 15 → 15:00

5:20 PM → 5 + 12 = 17 → 17:20 hours
co m
m .
20:00 hours → 20 − 12 = 8, and it is past noon → 8:00 PM
m as e
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se m
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a
se m
com g l a
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ase
agl

co m
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m as e
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m .
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g l as
a

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

TIME IN AM/PM TIME IN THE DIGITAL CLOCK

12:00 AM 00:00 hours

1:00 AM 1:00 hours

3:00 AM 3:00 hours

7:15 AM 7:15 hours

9:45 AM 9:45 hours

11:20 AM 11:20 hours

12:00 PM 12:00 hours

1:00 PM 13:00 hours

3:00 PM 15:00 hours

5:20 PM 17:20 hours

8:00 PM 20:00 hours

11:45 PM 23:45 hours

The same table with every blank filled in.

Why it happens: Adding 12 moves the time from the first round of the clock to the
second round of the same day.

Check it yourself: 5:20 PM is tea time in the evening. On the digital clock it reads
17:20 hours, and 17 − 12 = 5, which brings you right back.

In-text Questions — Page 181

Page 25 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Hours and minutes

Q1 Raghav brings milk from the market every morning. Raghav leaves home at 8:20
AM and returns back at 8:35 AM. How much time has he taken? ________

ANSWER

11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5

8:20 8:35

The two clocks printed beside Raghav — when he leaves and when he comes back.

The hour is 8 on both clocks, so only the minutes have changed.

From 8:20 to 8:30 = 10 minutes

From 8:30 to 8:35 = 5 minutes

10 + 5 = 15 minutes

Raghav has taken 15 minutes.

Why it happens: On the first clock the long hand is on 4 and on the second clock it is
on 7. It has moved past three big marks, and each big mark is 5 minutes: 5 + 5 + 5 =
15.

Tip: 15 minutes is a quarter of an hour.

Let Us Do — Pages 181 – 182

Page 26 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Hours and minutes

Q1 Show the appropriate times on the clock as per instructions. a) Raghav started
doing his homework at 10:20 AM. He took 25 minutes to finish it. Show the time that
he finished his homework.

ANSWER

11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5

Started at 10:20 AM Time after 25 minutes

The clock printed in the book shows the starting time. The second clock is empty for you to fill.

Add the 25 minutes to the minutes he started with.

20 + 25 = 45

45 is less than 60, so the hour stays 10
He finished at 10:45 AM

11 12 1
10 2
9 3
8 4
7 6 5

Finished at 10:45 AM

The finishing time. Blue hand = hour, red hand = minutes.

To show it: put the long hand on 9 (because 9 × 5 = 45 minutes) and the short hand between 10
and 11, closer to 11.

Page 27 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Why it happens: Minutes only turn into a new hour when they reach 60. Here 45 is
still under 60, so the hour number does not change.

Q2 b) Muneera starts reading a story at 4:15 PM. She finishes reading it in 45 minutes.
Show the time that she finished reading the story.

ANSWER

11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5

Started at 4:15 PM Time after 45 minutes

The clock printed in the book shows the starting time. The second clock is empty for you to fill.

Add the 45 minutes to the minutes she started with.

15 + 45 = 60

60 minutes = 1 hour

4 o’clock + 1 hour = 5:00 PM

11 12 1
10 2
9 3
8 4
7 6 5

Finished at 5:00 PM

The finishing time. Blue hand = hour, red hand = minutes.

To show it: put the long hand on 12 and the short hand exactly on 5.

Page 28 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
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co m
m.
Why it happens: The minutes added up to a full 60, which is one whole hour, so the

m as e
l
hour hand moves on to the next number and the minutes start again from 0.
.co a g
a s em
gl 45 minutes is three quarters of an hour, and 15 minutes is one quarter. Three
aTip:
quarters and one quarter make one whole hour.

com
m . ag
l a se
Q3 ag8:00 AM. She reaches school in 15 minutes. Starts for
c) Akira leaves for school at
school at 8:00 AM → Reaches school at ______AM → Finishes school assembly ______AM
m
.co
→ Dance practice ends at ______AM → Break ends at ______AM (Time after 15 minutes,

se
time after 15 minutes, time after 20 minutes, time after 10 minutes) m
o m g l a
m .c a
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ANSWER
se
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om a s
11.c12 1 agl
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11 12 1
11 12 1
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10 2 2
9 3 3 10 2
8 4 8 4 9 3
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7 6 5
.
7 6 5
8
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s
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Starts for school at 8:00 AM Reaches school at ______AM
ag
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a Finishes school assembly ______AM

se m
com g l a
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11 12 1
11se12
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10 2

a10gl 2 9 3
8 4
9 3 7 6 5

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8 4
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Break ends at ______AM

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Dance practice ends at ______AM

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Akira’s morning. The arrows above say: time after 15 minutes, time after 15 minutes, time after 20
s e m
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minutes, time after 10 minutes.

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Add the minutes one step at a time.

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

8:00 + 15 min → 0 + 15 = 15 → 8:15 AM (reaches school)

8:15 + 15 min → 15 + 15 = 30 → 8:30 AM (assembly ends)

8:30 + 20 min → 30 + 20 = 50 → 8:50 AM (dance practice ends)
8:50 + 10 min → 50 + 10 = 60 = 1 hour → 9:00 AM (break ends)

11 12 1 11 12 1 11 12 1 11 12 1
10 2 10 2 10 2 10 2
9 3 9 3 9 3 9 3
8 4 8 4 8 4 8 4
7 6 5 7 6 5 7 6 5 7 6 5

8:00 AM +15 min → 8:15 AM +15 min → 8:30 AM +20 min → 8:50 AM

11 12 1
10 2
9 3
8 4
7 6 5

+10 min → 9:00 AM

The whole chain filled in. Blue hand = hour, red hand = minutes.

BLANK TIME

Reaches school at 8:15 AM

Finishes school assembly 8:30 AM

Dance practice ends at 8:50 AM

Break ends at 9:00 AM

Check it yourself: Add all the minutes together: 15 + 15 + 20 + 10 = 60 minutes. That
is exactly 1 hour, so Akira ends at 9:00 AM, one hour after 8:00 AM.

Why it happens: Whenever the minutes reach 60 they become one full hour, so 8:50
+ 10 minutes is written as 9:00 and not as 8:60.

Page 30 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

In-text Questions — Page 182
Observe the shaded portions

Q1 Akira has spent one hour from 8:00 AM to 9:00 AM. / No, she has spent 60 minutes.
Who do you think is correct? Is there any relation between 1 hour and 60 minutes?

ANSWER

Akira has spent one hour No, she has spent
from 8:00 AM to 9:00 AM. 60 minutes.

What the two girls say about the time from 8:00 AM to 9:00 AM.

Both girls are correct. They are saying the same thing in two different ways.

1 hour = 60 minutes

11 12 1 11 12 1
10 2 10 2
9 3 9 3
8 4 8 4
7 6 5 7 6 5

8:00 AM 9:00 AM

From 8:00 to 9:00 the long hand goes once all the way round the face.

From 8:00 AM to 9:00 AM the short hand moves from 8 to 9 — that is 1 hour. In the same time
the long hand goes once all the way round and crosses all 60 small marks — that is 60 minutes.

Why it happens: The clock face has 60 small marks in one full round. The long hand
crosses one mark every minute, so one full round is 60 minutes, and one full round
is exactly the time the short hand needs to move from one number to the next.

Page 31 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Tip: So you may say “one hour” or “60 minutes” — both are right.

Q2 Observe the shaded portions. One hour (1 hour) = 60 minutes. Half hour = ____
minutes. Quarter or 1/4 of an hour = 15 minutes. Three Quarters or 3/4 of an hour =
____ minutes.

ANSWER

11 12 1
11 12 1 10 2
10 2 9 3
9 3 8 4
7 6 5
8 4
7 6 5
Half hour = ____ minutes

One hour (1 hour) = 60 minutes

11 12 1
10 2 11 12 1
9 3
10 2
8 4 9 3
7 6 5 8 4
7 6 5
Quarter or 1/4 of an hour = 15 minutes

Three Quarters or 3/4 of an hour = ____ minutes

The four shaded clock faces printed on page 182.

The whole face is 60 minutes. Share those 60 minutes into equal parts.

Page 32 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Half hour: 60 in 2 equal parts → 30 + 30 = 60 → Half hour = 30 minutes

Quarter hour: 60 in 4 equal parts → 15 + 15 + 15 + 15 = 60 → one part = 15 minutes

Three quarters: 15 + 15 + 15 = 45 minutes

11 12 1 11 12 1 11 12 1
10 2 10 2
10 2
9 3 9 3
9 3
8 4 8 4
7 6 5 7 6 5 8 4
7 6 5

One hour = 60 minutes Half hour = 30 minutes
Quarter hour = 15 minutes

11 12 1
10 2
9 3
8 4
7 6 5

Three quarters = 45 minutes

The same four faces with both blanks filled in.

So half an hour = 30 minutes and three quarters of an hour = 45 minutes.

Why it happens: The shaded part of the second clock is exactly half the face, and
half of 60 is 30. The fourth clock is shaded from 12 right round to 9, which is three of
the four quarters.

Check it yourself: 30 + 15 = 45, and 45 + 15 = 60. The quarters fit together to make
the whole hour.

In-text Questions — Page 183

Page 33 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
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How much time do you take?
co m
em.
m l as
Q1
.co a
Find out how much time you take to a) boil milk b) fill water from tap in a bucket
m
g
l a se
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ANSWER

m
This is a measuring job. Do it at home with an elder.

. c o ag
s e m time.
1. Look at the clock and write down the starting

g a or open the tap.
2. Do the work — put the milk on thelflame,
a
3. Look at the clock again the moment it is done and write down that time.
4. Count the minutes from the first time to the second time.
co m
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m l as
.co g
Sample answer:

em a
a s
agl WORK STARTED AT FINISHED AT TIME TAKEN

a s
a) Boiling milk 7:10 AM 7:15 AM
m
5 minutes

. c o agl
sem
b) Filling a bucket from the tap 7:20 AM 7:22 AM 2 minutes
a
agl

c o m
.
Tip: Your own answer may be a little different. A thin stream of water fills a bucket

m a s em
slowly, a strong one fills it fast. Write what your clock actually shows.

. co a gl
a sem
agl
m
What activities can you do in 5 minutes?
se
Q2

com g l a
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ANSWER

agl
Five minutes is a short time — the long hand moves across just one big mark.

Brush your teeth

co m
Drink a glass of milk
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om all your pencils and pack your bag l
Fold your bedsheet and make your bed
.cSharpen a g
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g l a
a c
.
Sing two short songs

s e m
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Do 20 skips with a rope
Read one page of a story
e m . co agl
g l as
a

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Check it yourself: Look at the clock, start any one of these, and check where the
long hand has reached when you finish. Has it crossed one big mark?

Why it happens: Each big mark on the clock face stands for 5 minutes, because
there are 5 small marks between two big ones.

Let Us Check — Page 183

Page 35 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

Reading time from a clock

Q1 Three friends read time from a clock. Who is right? Discuss the error and explain
how one reads the clock correctly.

ANSWER

RAGHU RAGHAV RANI

12:04 12:20 04:00

11 12 1
10 2
9 3
8 4
7 6 5

07:07 07:25 05:35

11 12 1
10 2
9 3
8 4
7 6 5

Page 36 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

03:07 03:35 07:15

11 12 1
10 2
9 3
8 4
7 6 5

The three clocks and what each friend wrote.

Rani is right every time. The clocks show 4:00, 5:35 and 7:15.

Page 37 of 40

Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

RAGHU RAGHAV RANI

12:04 12:20 04:00

11 12 1
10 2
9 3
8 4
7 6 5

07:07 07:25 05:35

11 12 1
10 2
9 3
8 4
7 6 5

03:07 03:35 07:15

11 12 1
10 2
9 3
8 4
7 6 5

The same clocks. Rani’s reading is the correct one every time.

Where the other two go wrong. Raghu and Raghav both look at the wrong hand. They read
the long hand as the hour and the short hand as the minutes.

Page 38 of 40

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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar
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Raghu then writes the small number just as it is. On the first clock the short hand is on 4, so
co m
he writes 04 minutes and gets 12:04.
e m.
m l as
.co g
Raghav counts the same small number in fives. He gets 4 × 5 = 20 and writes 12:20.
m a
l a se
How to read a clock correctly:

a g
1. Find the short thick hand. The number it has just passed is the hour.

m
2. Find the long thin hand. Count in fives from 12 up to it to get the minutes.

. co ag
m
3. Write hour first, then minutes: 5:35, not 35:5.

l a se
CLOCK SHORT HAND ag LONG HAND CORRECT TIME

First on 4 on 12, so 0 minutes 4:00
co m
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m l as
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Second just past 5 on 7, so 7 × 5 = 35 minutes
g
5:35

m a
l a se
Third just past 7 on 3, so 3 × 5 = 15 minutes 7:15

a g
m
Why it happens: The two hands do different jobs. The short hand crawls once round
a s
m.co
the face in 12 hours; the long hand races round in 1 hour. So the short hand must be
agl
l a
read as the hour and the long hand as the minutes.se
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Tip: If the short hand is between two numbers, always take the smaller one. On the
co m
m .
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second clock it is between 5 and 6, so the hour is 5.
m l as
m .co a g
l a se
ag
se m
com g l a
.
Chapter at a glance
m a
ase
agl
Most years have 365 days. A leap year has 366 days, because February gets 29 days instead
of 28.
Leap years come after every four years — 2016, 2020, 2024, 2028, 2032, 2036.

. c om
A week has 7 days, so the same weekday comes back after 7 days, 14 days and 21 days.

s e m 04/07/2024 is 4 July
A date written as DD/MM/YYYY tells the day, the month and the year:
om a
.c2024. agl
m A day has 24 hours — 12 hours from 6 o’clock morning to 6 o’clock evening, and 12 more till
l a se
ag the next morning.
.c
AM is used from midnight to noon and PM from noon to midnight. A digital clock shows
s e m
1:00 PM as 13:00 hours.
. c o m
a g la
s e m = 30 minutes, a quarter hour = 15 minutes, three quarters
1 hour = 60 minutes, half an hour
a
agl
= 45 minutes.

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m .
m ase
.co


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Class 4 Maths Chapter 12 Ticking Clocks and Turning Calendar AglaSem · NCERT Solutions

On a clock the short thick hand shows the hour and the long thin hand shows the minutes.

Quick revision

IDEA WHAT IT MEANS EXAMPLE FROM THE CHAPTER REMEMBER THIS

Leap year A year in which February has Parv was born on 29 February Comes after every 4
29 days 2016 years

Days in a Ordinary year 365, leap year Feb 2024 had 29 days, Feb 2025 365 + 1 = 366
year 366 had 28

Date form DD/MM/YYYY — day, 04/07/2024 Read as 4 July 2024
month, year

Same Comes back after 7 days July 1 Monday, July 8 Monday, July Keep adding 7
weekday 15 Monday

Hours in a 24 hours in one full day 6 o’clock morning to 6 o’clock 12 + 12 = 24
day evening is 12 hours

AM Midnight to noon 8:00 AM = 08:00 hours Morning times

PM Noon to midnight 8:00 PM = 20:00 hours Add 12 to the hour

1 hour 60 minutes 8:00 AM to 9:00 AM Minute hand goes once
round

Half hour 30 minutes 8:00 to 8:30 Half of 60

Quarter 15 minutes 8:20 to 8:35 60 in 4 equal parts
hour

Three 45 minutes 4:15 PM + 45 min = 5:00 PM 15 + 15 + 15
quarters

Clock hands Short hand = hour, long hand = Long hand on 12, short hand on 4 Count minutes in fives
minutes is 4:00

Page 40 of 40