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Tell and Set Time to the Nearest Quarter Hour

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How to Read and Write Time in Quarter Hours with Step by Step Examples

In this chapter you will learn to tell time quarter past and quarter to and time to half hour. Constructing on this, tell time quarter hour problem in maths focuses on telling time to quarter hour, using both digital and analog formats. The time quarter past and quarter to math problems consists of interactive problems on reading time on a clock, setting time on an analog clock, and exposes students to different ways of saying the same time. For example, 3:45 and quarter to 4 are different ways of saying the same time.


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Time Quarter Past, Quarter to and Half Hour

Let’s get to know the various ways to tell time to quarter hours

  • In 5 minute augmentations, when it's past the hour (up to 30 minutes past) we say "past".

  • When it's before the hour (after 30 minutes past) we state "to".

  • There are 60 minutes in an hour.

  • 30 minutes is half an hour (exactly half of an hour/half of 60 minutes), we say "thirty" or "half past".

  • Fifteen minutes is quarter of an hour, we say "quarter past" or "quarter to" or "fifteen" or "forty-five".

  • 09:00- it’s nine o'clock in the morning.

  • 15:00- it’s three o'clock in the afternoon.

  • 15 minutes past the hour is said to be quarter past: 

  • 06:15- it’s quarter past seven in the morning (6:15 is 6:15 AM in the morning)

  • 13:15- It's quarter past two in the afternoon. (13:15 is 1:15PM in the afternoon)

Time Measurement to Tell Time to Quarter Hours

Time measurement for 15 minutes, 30 minutes, and 45 minutes can be depicted in the following manner. They are:

  1. Quarter to - This implies that there are 15 minutes remaining to complete a given hour. For example, 06:45 means there are 15 minutes still remaining to reach 7:00. This is also read as "quarter to seven".

  2. Quarter Past - This implies that 15 minutes have passed after the hour has begun. For example, 09:15 means 15 minutes have passed after 9:00. This is read as "quarter past nine".

  3. Half-Past - This implies that 30 minutes have passed after the hour has begun. For example, 06:30 means 30 minutes have passed after 6:00. This is also read as "half-past six".

Solved Examples

Let’s practice some quarter hour problem in maths that you will find in your tell time quarter past and quarter to worksheets.

Example:

Calculate the measurement of time between 1:00 to 5:00.

Solution:

The distance between two vertical lines depicts 1 hour. Thus, there are 4 hours between 1:00 and 5:00.

Therefore, the time between 1:00 and 4:00 is 4 hours.


Example:

Alex's and Amaira anniversary falls on June 9. Their friend's anniversary falls on September 17. Find out the number of weeks and days between the two dates.

Solution:

The month of June consists of 30 days. The number of days after Alex's and Amaira anniversary (June 9) is 30 - 9 = 21.

The Months of July and August have 31 days each. Beginning from 1st to 17th, we have 17 days in the month of September. So, there are (21 +31+31+17) days which equals 100 days.

In order to find the number of weeks, divide the number of days by 7 and express the outcome as a mixed fraction. 100/7 is 14 2/7 weeks.

∴ There are 102 days between Alex's-Amaira’s and their friend's anniversary.


Usability to Tell Time to Quarter Hours

Telling the Time - Quarter Past and Quarter to have its own significance for growing children. This chapter will help the students with all about learning to tell the times in quarter of an hour intervals.

The worksheets involve:

  • Converting clock times into digital time.

  • Reading and calling out the time using the language 'past' and 'to'.

  • Learning the quarter past and quarter to times.

  • Practice o'clock, quarter past, quarter to and half past.

  • Convert times into digital format.

FAQs on Tell and Set Time to the Nearest Quarter Hour

1. What does quarter past and quarter to mean in telling time?

Quarter past means 15 minutes after the hour, and quarter to means 15 minutes before the next hour. A quarter represents one-fourth of an hour, which is 15 minutes because 60 ÷ 4 = 15.

  • Quarter past 3 = 3:15
  • Quarter to 4 = 3:45
This concept is essential when learning to tell and set time to quarter hours on an analog clock.

2. How do you tell time to the nearest quarter hour?

To tell time to the nearest quarter hour, look at the minute hand and check if it points to 12, 3, 6, or 9. These positions represent:

  • 12 = :00 (o'clock)
  • 3 = :15 (quarter past)
  • 6 = :30 (half past)
  • 9 = :45 (quarter to)
Then read the hour hand to determine the correct hour.

3. Why is a quarter hour equal to 15 minutes?

A quarter hour equals 15 minutes because one hour has 60 minutes and 60 ÷ 4 = 15. The word "quarter" means one-fourth of a whole.

  • 1 whole hour = 60 minutes
  • One-fourth of 60 = 15 minutes
This is why each quarter hour represents a 15-minute interval on the clock.

4. How do you set an analog clock to quarter past?

To set an analog clock to quarter past, place the minute hand on 3 and the hour hand slightly after the hour number. Follow these steps:

  • Move the minute hand to 3 (15 minutes)
  • Place the hour hand just past the desired hour
  • Example: Quarter past 5 = 5:15
This shows 15 minutes after the hour.

5. How do you set an analog clock to quarter to?

To set an analog clock to quarter to, place the minute hand on 9 and move the hour hand just before the next hour. Steps include:

  • Move the minute hand to 9 (45 minutes)
  • Position the hour hand slightly before the next hour
  • Example: Quarter to 8 = 7:45
This means 15 minutes before the upcoming hour.

6. What is the difference between half past and quarter past?

The difference is that quarter past means 15 minutes after the hour, while half past means 30 minutes after the hour. Since half of 60 minutes is 30 minutes, it is longer than a quarter hour.

  • Quarter past 2 = 2:15
  • Half past 2 = 2:30
Both are common ways to tell time on an analog clock.

7. How do you write quarter to and quarter past in digital time?

You write quarter past as :15 and quarter to as :45 in digital time format. Examples include:

  • Quarter past 6 = 6:15
  • Quarter to 10 = 9:45
Digital clocks show exact minutes, so 15 minutes past or 45 minutes past the hour represent quarter-hour times.

8. Can you give an example of telling time to the nearest quarter hour?

An example of telling time to the nearest quarter hour is when the minute hand points to 9 and the hour hand is between 4 and 5, which means 4:45. Since 45 minutes is 15 minutes before 5, we say quarter to 5.

  • Minute hand on 9 = :45
  • Hour hand near 5 = almost 5 o'clock
This is how learners read quarter-hour times correctly.

9. What numbers on a clock represent quarter hours?

The numbers 12, 3, 6, and 9 on a clock represent the quarter hours. Each step between them equals 15 minutes:

  • 12 = :00
  • 3 = :15
  • 6 = :30
  • 9 = :45
These positions divide the clock into four equal parts.

10. What are common mistakes when telling time to quarter hours?

A common mistake when telling time to quarter hours is confusing quarter to with quarter past. Key things to remember:

  • Minute hand on 3 = :15 (quarter past)
  • Minute hand on 9 = :45 (quarter to)
  • For quarter to, say the next hour, not the current one
For example, 7:45 is quarter to 8, not quarter to 7.