Maths

Time

Class 3

🎯 Learning Objectives

📖 Introduction

Time helps us plan our day. We wake up at a certain time, go to school, eat lunch, play, and sleep — all at different times. A clock helps us read the time.

In India, school usually starts at 8:00 AM and ends at 2:00 PM. Trains run on a fixed timetable. Knowing how to read time helps us be punctual and plan our activities.

Let us learn how to read a clock, understand AM and PM, and calculate how long activities take!

Reading a Clock

A clock has two main hands:

HandWhat It ShowsHow to Identify
Hour Hand (short hand)The hour (1 to 12)It is shorter and thicker
Minute Hand (long hand)The minutes (0 to 60)It is longer and thinner

The clock face has numbers from 1 to 12 arranged in a circle. The minute hand moves faster — it goes around the clock once every hour. The hour hand moves slowly — it takes 12 hours to go around once.

Important: There are 60 minutes in 1 hour. Each number on the clock represents 5 minutes for the minute hand (5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60).

Labelled analog clock showing hour hand, minute hand and numbers 1-12

Telling Time: O'Clock, Half Past, Quarter Past, Quarter To

O'Clock (Exact Hour)

When the minute hand points to 12 and the hour hand points to a number, we say it is that number o'clock.

Examples

Hour hand on 8, minute hand on 12 → 8 o'clock (school starts!)

Hour hand on 2, minute hand on 12 → 2 o'clock (school ends!)

Hour hand on 7, minute hand on 12 → 7 o'clock (wake up time)

Half Past (30 minutes)

When the minute hand points to 6, it means 30 minutes have passed. We say "half past" the hour.

Examples

Hour hand between 8 and 9, minute hand on 6 → Half past 8 (8:30) — Assembly time!

Hour hand between 12 and 1, minute hand on 6 → Half past 12 (12:30) — Lunch break!

Quarter Past (15 minutes)

When the minute hand points to 3, it means 15 minutes have passed. We say "quarter past" the hour.

Examples

Hour hand just past 9, minute hand on 3 → Quarter past 9 (9:15)

Hour hand just past 4, minute hand on 3 → Quarter past 4 (4:15) — Snack time!

Quarter To (45 minutes)

When the minute hand points to 9, it means 45 minutes have passed (or 15 minutes are left for the next hour). We say "quarter to" the next hour.

Examples

Minute hand on 9, hour hand almost at 8 → Quarter to 8 (7:45) — Get ready for school!

Minute hand on 9, hour hand almost at 1 → Quarter to 1 (12:45)

Four clocks showing times for daily routine — wake up, school, lunch, bedtime

AM and PM — The 12-Hour Clock

A day has 24 hours, but a clock only shows 12 numbers. So the clock goes around twice in one day. To tell which half of the day we mean, we use AM and PM.

TermFull FormTime PeriodExamples
AMAnte Meridiem (before noon)12:00 midnight to 11:59 in the morning7:00 AM (wake up), 8:00 AM (school starts), 10:30 AM (break time)
PMPost Meridiem (after noon)12:00 noon to 11:59 at night12:30 PM (lunch), 2:00 PM (school ends), 9:00 PM (bedtime)
Sita asks: "Is 12:00 noon AM or PM?" Answer: 12:00 noon is written as 12:00 PM. And 12:00 midnight is written as 12:00 AM.

Arjun's Daily Routine (Indian Context)

TimeActivityAM or PM?
6:30Wake upAM
7:00Brush teeth, bathAM
7:30Breakfast (poha/idli)AM
8:00School startsAM
10:30Tiffin breakAM
12:30Lunch breakPM
2:00School endsPM
4:00Play time / GamesPM
6:00HomeworkPM
8:00DinnerPM
9:00BedtimePM

Duration / Elapsed Time

Elapsed time means how long something takes — the time between the start and the end of an activity.

Formula: Elapsed Time = End Time − Start Time

Example 1: School Duration

School starts at 8:00 AM and ends at 2:00 PM.

From 8:00 AM to 2:00 PM = 6 hours. So school lasts 6 hours.

Example 2: Maths Class

Maths class starts at 9:00 AM and ends at 9:45 AM.

From 9:00 to 9:45 = 45 minutes. The maths class is 45 minutes long.

Example 3: Train Journey

The Rajdhani Express leaves Delhi at 4:30 PM and reaches Jaipur at 7:00 PM.

From 4:30 PM to 7:00 PM: 4:30 to 5:00 = 30 min, 5:00 to 7:00 = 2 hours. Total = 2 hours 30 minutes.

Example 4: Cooking Time

Meena's mother started cooking at 6:15 PM and finished at 7:00 PM.

From 6:15 to 7:00 = 45 minutes.

Tip: To find elapsed time, count forward from the start time to the end time. You can count hours first, then minutes.

Days, Weeks, Months, and Year

Days of the Week (7 days)

#DayHindi Name
1Mondayसोमवार (Somvaar)
2Tuesdayमंगलवार (Mangalvaar)
3Wednesdayबुधवार (Budhvaar)
4Thursdayगुरुवार (Guruvaar)
5Fridayशुक्रवार (Shukravaar)
6Saturdayशनिवार (Shanivaar)
7Sundayरविवार (Ravivaar)

Remember: 1 week = 7 days. Most Indian schools have classes from Monday to Saturday (half day on Saturday).

Months of the Year (12 months)

#MonthDaysSpecial Events (India)
1January31Republic Day (26 Jan)
2February28 or 29Basant Panchami
3March31Holi, Exams
4April30New session starts
5May31Summer vacation
6June30School reopens
7July31Monsoon begins
8August31Independence Day (15 Aug)
9September30Teachers' Day (5 Sep)
10October31Gandhi Jayanti (2 Oct), Dussehra
11November30Diwali, Children's Day (14 Nov)
12December31Christmas, Winter vacation

Key Facts:

Rhyme to remember: "30 days has September, April, June, and November. All the rest have 31, except February alone, which has 28 days clear, and 29 in each leap year."

Word Problems (Indian Context)

Problem 1: School Timetable

Ravi's school starts at 8:00 AM. The first period is 45 minutes long. At what time does the first period end?

Solution: 8:00 AM + 45 minutes = 8:45 AM.

Problem 2: Train Timing

The Shatabdi Express departs from New Delhi at 6:15 AM and arrives in Agra at 8:10 AM. How long is the journey?

Solution: From 6:15 to 7:15 = 1 hour. From 7:15 to 8:10 = 55 minutes. Total = 1 hour 55 minutes.

Problem 3: Daily Routine

Anita wakes up at 6:30 AM. She takes 30 minutes to get ready and 15 minutes for breakfast. At what time does she leave for school?

Solution: 6:30 + 30 min = 7:00 AM (ready). 7:00 + 15 min = 7:15 AM (leaves for school).

Problem 4: Cricket Match

A cricket match started at 2:00 PM and ended at 5:30 PM. How long did the match last?

Solution: From 2:00 PM to 5:00 PM = 3 hours. From 5:00 to 5:30 = 30 minutes. Total = 3 hours 30 minutes.

Problem 5: Homework

Priya started her homework at 5:15 PM and finished at 6:45 PM. How long did she study?

Solution: From 5:15 to 6:15 = 1 hour. From 6:15 to 6:45 = 30 minutes. Total = 1 hour 30 minutes.

Four clocks showing times for daily routine — wake up, school, lunch, bedtime

📝 Key Words

WordMeaning
Hour HandThe short hand on a clock that shows the hour
Minute HandThe long hand on a clock that shows the minutes
O'ClockExact hour — minute hand points to 12
Half Past30 minutes past the hour — minute hand points to 6
Quarter Past15 minutes past the hour — minute hand points to 3
Quarter To15 minutes before the next hour — minute hand points to 9
AM (Ante Meridiem)Time from midnight (12:00) to just before noon (11:59)
PM (Post Meridiem)Time from noon (12:00) to just before midnight (11:59)
Elapsed TimeThe amount of time that passes between a start time and end time
DurationHow long an activity or event lasts
⭐ Key Points to Remember

✏️ Practice Questions

A. Fill in the Blanks (10 questions)
1. The short hand on a clock is called the hand.
2. The long hand on a clock is called the hand.
3. When the minute hand points to 12, we say it is .
4. Half past means minutes past the hour.
5. AM stands for .
6. PM stands for .
7. 1 hour = minutes.
8. 1 week = days.
9. 1 year = months.
10. February has days in a leap year.
B. Choose the Correct Answer (MCQ)
1. If the minute hand is on 6 and the hour hand is between 3 and 4, what time is it?
(a) 3 o'clock(b) Half past 3(c) Quarter past 3(d) Half past 6
2. School starts at 8:00 AM and ends at 2:00 PM. How long is the school day?
(a) 4 hours(b) 5 hours(c) 6 hours(d) 7 hours
3. Which month has 28 or 29 days?
(a) January(b) February(c) March(d) April
4. 12:00 noon is written as:
(a) 12:00 AM(b) 12:00 PM(c) 0:00 AM(d) 0:00 PM
5. Quarter to 8 means:
(a) 8:15(b) 8:45(c) 7:45(d) 7:15
C. Word Problems
1. Ravi's tuition class starts at 4:30 PM and ends at 6:00 PM. How long is the class?
2. A train leaves Mumbai at 7:15 AM and reaches Pune at 10:45 AM. How long is the journey?
3. Meena started painting at 3:00 PM and finished at 4:20 PM. How long did she paint?
4. The school bus picks up Arjun at 7:30 AM. He reaches school at 8:00 AM. How long is the bus ride?
5. Sita's birthday is on 15th March. How many days are left from 1st March to her birthday?
D. True or False
1. The hour hand is longer than the minute hand.
2. 1 hour = 60 minutes.
3. 8:00 PM means 8 o'clock in the morning.
4. There are 7 days in a week.
5. April has 31 days.
E. Match the Following
Column AColumn B
1. Minute hand on 12(a) Half past
2. Minute hand on 6(b) Quarter to
3. Minute hand on 3(c) 30 days
4. Minute hand on 9(d) O'clock
5. April(e) Quarter past
🎨 Activity — Make a Paper Clock!

Materials needed: A paper plate (or round cardboard), a pencil, a ruler, scissors, a brass paper fastener (split pin), and crayons.

Steps:

  1. Take a paper plate or cut a circle from cardboard.
  2. Write numbers 1 to 12 around the edge, like a real clock.
  3. Cut two arrows from cardboard — one short (hour hand) and one long (minute hand).
  4. Colour the hour hand red and the minute hand blue.
  5. Attach both hands to the centre of the plate using a brass pin (split pin).
  6. Now move the hands to show different times: 8 o'clock, half past 3, quarter to 7!

Challenge: Ask your friend to set a time on your paper clock. Can you read it correctly? Take turns!

Bonus: Write your daily routine with times (AM/PM) on the back of the plate.

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Maths

Time

Class 3  |  CBSE / NCERT / ICSE
Name: Class / Sec: Date:
🎯 Learning Objectives
📖 Introduction

Time helps us plan our day. We wake up at a certain time, go to school, eat lunch, play, and sleep — all at different times. A clock helps us read the time. In India, school usually starts at 8:00 AM and ends at 2:00 PM. Trains run on a fixed timetable. Knowing how to read time helps us be punctual.

Reading a Clock
HandWhat It ShowsHow to Identify
Hour Hand (short)The hour (1 to 12)Shorter and thicker
Minute Hand (long)The minutes (0 to 60)Longer and thinner

There are 60 minutes in 1 hour. Each number on the clock = 5 minutes for the minute hand.

Labelled analog clock
Telling Time: O'Clock, Half Past, Quarter Past, Quarter To
Time TypeMinute Hand Points ToMinutes PastExample
O'Clock120 minutes8 o'clock (school starts)
Half Past630 minutesHalf past 12 (lunch break)
Quarter Past315 minutesQuarter past 9 (9:15)
Quarter To945 min (15 min to next hour)Quarter to 8 (7:45)
Daily routine clocks
AM and PM — The 12-Hour Clock
TermMeaningTime Period
AMAnte Meridiem (before noon)12:00 midnight to 11:59 morning
PMPost Meridiem (after noon)12:00 noon to 11:59 night
12:00 noon = 12:00 PM. 12:00 midnight = 12:00 AM.
Arjun's Daily Routine
TimeActivityAM/PM
6:30Wake upAM
7:30BreakfastAM
8:00School startsAM
10:30Tiffin breakAM
12:30Lunch breakPM
2:00School endsPM
4:00Play timePM
6:00HomeworkPM
8:00DinnerPM
9:00BedtimePM
Duration / Elapsed Time

Elapsed Time = End Time − Start Time

Ex 1: School: 8:00 AM to 2:00 PM = 6 hours
Ex 2: Maths class: 9:00 AM to 9:45 AM = 45 minutes
Ex 3: Train: Delhi 4:30 PM to Jaipur 7:00 PM = 2 hours 30 minutes
Ex 4: Cooking: 6:15 PM to 7:00 PM = 45 minutes
Tip: Count hours first, then minutes. Example: 4:30 to 7:00 → 4:30 to 5:00 = 30 min, 5:00 to 7:00 = 2 hrs. Total = 2 hrs 30 min.
Days, Weeks, Months, and Year

Days of the Week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday (1 week = 7 days)

MonthDaysMonthDays
January31July31
February28/29August31
March31September30
April30October31
May31November30
June30December31

1 year = 12 months = 365 days (366 in leap year). Feb = 28 days (29 in leap year).

Maths

Time (continued)

Class 3  |  CBSE / NCERT / ICSE
Name: Class / Sec: Date:
Word Problems (Indian Context)
1. School Timetable: Ravi's school starts at 8:00 AM. First period is 45 min. Ends at 8:45 AM.
2. Train Timing: Shatabdi Express: Delhi 6:15 AM → Agra 8:10 AM. Journey = 1 hour 55 minutes.
3. Daily Routine: Anita wakes at 6:30 AM + 30 min (ready) + 15 min (breakfast) = leaves at 7:15 AM.
4. Cricket Match: 2:00 PM to 5:30 PM = 3 hours 30 minutes.
5. Homework: Priya: 5:15 PM to 6:45 PM = 1 hour 30 minutes.
Daily routine clocks
📝 Key Words
WordMeaning
Hour HandShort hand — shows the hour
Minute HandLong hand — shows the minutes
O'ClockExact hour (minute hand on 12)
Half Past30 minutes past (minute hand on 6)
Quarter Past15 minutes past (minute hand on 3)
Quarter To15 minutes before next hour (minute hand on 9)
AMAnte Meridiem — midnight to noon
PMPost Meridiem — noon to midnight
Elapsed TimeTime between start and end of an activity
DurationHow long something lasts
⭐ Key Points to Remember
  • Short hand = hours. Long hand = minutes. 1 hour = 60 minutes.
  • O'clock → min hand on 12. Half past → on 6. Quarter past → on 3. Quarter to → on 9.
  • AM = midnight to noon. PM = noon to midnight.
  • Elapsed time = End time − Start time.
  • 1 week = 7 days. 1 year = 12 months = 365 days (366 in leap year).
  • 30-day months: April, June, September, November. Feb = 28/29 days.
Maths

Time (practice)

Class 3  |  CBSE / NCERT / ICSE
Name: Class / Sec: Date:
A. Fill in the Blanks
1. The short hand on a clock is called the hand.
2. The long hand on a clock is called the hand.
3. When the minute hand points to 12, we say it is .
4. Half past means minutes past the hour.
5. AM stands for .
6. PM stands for .
7. 1 hour = minutes.
8. 1 week = days.
9. 1 year = months.
10. February has days in a leap year.
B. Choose the Correct Answer
1. Minute hand on 6, hour hand between 3 and 4. Time?
(a) 3 o'clock(b) Half past 3(c) Quarter past 3(d) Half past 6
2. School: 8:00 AM to 2:00 PM. Duration?
(a) 4 hours(b) 5 hours(c) 6 hours(d) 7 hours
3. Which month has 28 or 29 days?
(a) January(b) February(c) March(d) April
4. 12:00 noon is:
(a) 12:00 AM(b) 12:00 PM(c) 0:00 AM(d) 0:00 PM
5. Quarter to 8 means:
(a) 8:15(b) 8:45(c) 7:45(d) 7:15
C. Word Problems
1. Ravi's tuition class starts at 4:30 PM and ends at 6:00 PM. How long is the class?
2. A train leaves Mumbai at 7:15 AM and reaches Pune at 10:45 AM. How long is the journey?
3. Meena started painting at 3:00 PM and finished at 4:20 PM. How long did she paint?
4. The school bus picks up Arjun at 7:30 AM. He reaches school at 8:00 AM. How long is the bus ride?
5. Sita's birthday is on 15th March. How many days are left from 1st March to her birthday?
D. True or False
1. The hour hand is longer than the minute hand.
2. 1 hour = 60 minutes.
3. 8:00 PM means 8 o'clock in the morning.
4. There are 7 days in a week.
5. April has 31 days.
E. Match the Following
Column AColumn B
1. Minute hand on 12(a) Half past
2. Minute hand on 6(b) Quarter to
3. Minute hand on 3(c) 30 days
4. Minute hand on 9(d) O'clock
5. April(e) Quarter past
🎨 Activity — Make a Paper Clock!

Materials: Paper plate or cardboard circle, pencil, ruler, scissors, brass pin, crayons.

Steps: (1) Cut a circle. (2) Write 1-12 around the edge. (3) Cut two arrows — short (hour) and long (minute). (4) Colour hour hand red, minute hand blue. (5) Attach with brass pin at centre. (6) Show different times!

Challenge: Ask a friend to set a time. Can you read it? Take turns!

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