Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store

Different Ways of Reading Time in Maths

Reviewed by:
ffImage
hightlight icon
highlight icon
highlight icon
share icon
copy icon

How to Read Time on Analog and Digital Clocks with Examples

Time seen through an analogue clock or a digit clock has to be understood correctly. For the first instance, children find it difficult to understand time. Two prime reasons for the difficulty in understanding time are that the time is the same two times in a day, and the unit of time is made of 60 units, unlike other units of 10 or 100 units.


Adding to this challenge are two-time formats for math, a 12-hour format and a 24-hour format. Time has units of hours, minutes, and seconds and is expressed in AM (Anti Meridian) or PM (Post Meridian). Further, let us check the below content to know more about reading time by looking at the hands of the clock.


What are Clocks?

A clock normally displayed in a room or connected to a wall displays the time. You can see clocks of different sizes around you. Some clocks show only time, whereas others show temperature, date, weather, etc. Also, some clocks have a stopwatch, and some have alarms.


The Clock


The Clock


Parts of Clock

The two widely used clocks are the analogue and digital clocks. Both clocks have different ways of representing time.


What are Analogue Clocks?

A clock is known as an analogue clock when it has moving hands and is usually (hours) marked from 1 to 12 to show you the time of the day.


In some analogue clocks, hours are marked with Roman numerals (such as I, II, III, IV, etc.), while in others, no numbers are marked in the clock.


Minute Hand

The hand on a clock or watch that displays the minutes is called a minute hand; it is typically longer than the hour hand. The large hand indicates the minutes on a clock. It completes one full circle every 60 minutes (one hour). For instance, the minute hand is just past the number " 4 " on the clock on the left, and by counting the small markers starting at " 12," you can see that it is 22 minutes past the hour. (The "hour hand" on the little hand is barely past eight, making the time 22 past eight).


Hour Hand and Minute Hand

Following is the difference between the hour hand and the minute hand:


Hour Hand

Minute Hand

The minute hand tells the time on a clock. It completes one full circle every 12 hours (half a day).

The hour hand is just past the " 8 " in the clock on the left, indicating that it is just past "8 o'clock,"

For instance, the minute hand is just past the number "4" on the clock on the left, and counting the small markers starting at "12," you can see that it is 22 minutes past the hour.

The "hour hand" on the little hand is barely past eight, making the time 22 past eight.



Hour hand and Minute hand


Hour hand and Minute hand


What are Digital Clocks?

Digital clocks are one of our society's most common pieces of technology. The electronic wristwatch has experienced major evolutionary changes and dozens of offshoots, including everything you could imagine cramming into a wristwatch.


Uses of Clocks

Following are the uses of the clocks:

  • A watch is a device used to measure, verify, keep, and indicate the time.

  • A clock is one of the oldest human inventions, which meets the need to measure shorter time intervals than natural units like the day, the lunar month, and the year.

  • It helps to maintain discipline among the people.


Solved Example

Q 1. Ram and Shyam are playing the game "Clock". Ram must check the time on the provided clock. When he saw the clock, what time should he say?


Time


Time


Ans: The hour hand is at 10, indicating 10 hours. The minute hand is at 1. Let's calculate minutes: 1 × 5= 5. Therefore, the time is 10:05.


Q 2. Ram is given two photos of clocks. He needs to locate the clock that reads 10:45. Which clock should he pick from the list below?


Different clocks


Different clocks


Ans: The hour hand of the first clock has crossed 10. The minute hand is at 9. So the time displayed by Clock I is 10:45. The hour hand of Clock II is at 10. The minute hand of clock II is at 6. Then the time displayed by Clock II is 10:30. Therefore, Clock 1 shows 10:45.


Practice Problem

Q 1. Shivam wants to set the clock at 6:15. Which hand should point at 6?

Ans: Hour hand


Q 2. Ram looks at a clock with the minute hand at eight and the hour hand between ten and eleven. He is interested in the time. What will it show?


Time


Time

Ans: 10:40


Summary

We saw that the clock has three hands, second, minute, and hour hand. The hour hand indicates an hour. The big hand, i.e. minute hand, indicates the minute, so in whichever number the big hand is pointing, we can calculate the minute with that number. A day has 24 hours. A clock, having markings from 1 to 12, identifies all 24 hours of the day.


It's common to see clocks with Roman Numerals (I, II, III, etc.) and clocks without numbers! Rotating hands surround the clock's face. In the end, we added some practice questions and solved examples to get more clarity on the topic.

FAQs on Different Ways of Reading Time in Maths

1. What are the different ways of reading time on a clock?

The different ways of reading time include o'clock format, past and to format, digital format, and the 24-hour format.

  • O'clock format: Used when the minute hand is at 12 (e.g., 5:00 → five o'clock).
  • Past and to format: Expresses minutes past or to the hour (e.g., 3:15 → quarter past three).
  • Digital format: Written as hours:minutes (e.g., 7:45).
  • 24-hour format: Used for official time (e.g., 18:30 instead of 6:30 PM).

2. How do you read time using the hour and minute hands?

To read time on an analog clock, first read the hour hand and then the minute hand.

  • The short hand shows the hour.
  • The long hand shows the minutes.
  • Each number on the clock equals 5 minutes.
Example: If the hour hand is near 4 and the minute hand is at 3 (15 minutes), the time is 4:15 (quarter past four).

3. What does "quarter past" and "quarter to" mean in time?

"Quarter past" means 15 minutes after the hour, and "quarter to" means 15 minutes before the next hour.

  • Quarter past 6 = 6:15
  • Quarter to 8 = 7:45
A quarter represents one-fourth of an hour, and one hour has 60 minutes, so one-fourth is 15 minutes.

4. What does "half past" mean when reading time?

"Half past" means 30 minutes after the hour.

  • Half past 2 = 2:30
  • Half past 9 = 9:30
Since one hour has 60 minutes, half of 60 is 30 minutes, which is why it represents half past the hour.

5. How do you convert time from 12-hour format to 24-hour format?

To convert from 12-hour format to 24-hour format, add 12 hours to PM times (except 12 PM).

  • 3:00 PM → 15:00
  • 7:45 PM → 19:45
  • 12:00 AM → 00:00
  • 12:00 PM → 12:00
Morning (AM) times remain the same, except 12 AM which becomes 00:00.

6. How do you express time in words?

Time in words is expressed using phrases like o'clock, past, and to.

  • 5:00 → five o'clock
  • 8:10 → ten past eight
  • 9:50 → ten to ten
For minutes less than 30, use "past"; for minutes more than 30, subtract from 60 and use "to" the next hour.

7. How do you calculate minutes past and minutes to the hour?

Minutes past are read directly, while minutes to are found by subtracting the minutes from 60.

  • 4:20 → 20 minutes past 4
  • 4:50 → 60 − 50 = 10 minutes to 5
This method helps convert digital time into spoken time correctly.

8. What is the difference between AM and PM?

AM refers to time from midnight to noon, while PM refers to time from noon to midnight.

  • AM: 12:00 AM (midnight) to 11:59 AM
  • PM: 12:00 PM (noon) to 11:59 PM
AM stands for "Ante Meridiem" and PM stands for "Post Meridiem," meaning before and after midday.

9. How do you read time when the minute hand is between numbers?

When the minute hand is between numbers, count each small division as 1 minute.

  • Each big number = 5 minutes
  • Each small tick mark = 1 minute
Example: If the minute hand is two small marks after 3 (15), it shows 17 minutes, so the time might be 6:17.

10. Why is it important to learn different ways of reading time?

Learning different ways of reading time helps you understand analog clocks, digital clocks, and the 24-hour clock system.

  • Improves time management skills.
  • Helps in solving maths word problems involving time.
  • Useful in travel schedules, timetables, and exams.
Understanding multiple time formats ensures accurate communication and correct time calculations.