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\ 26-Sep-2025 Bharat Arora Proof-10 Reader’s Sign _______________________ Date __________
Reading Time When the Minute Hand is at 3 or 9 (Quarter the Hour)
We know that:
Be Aware
1 hour = 60 minutes 10 11 4th 12 1st 1 2 • 1 quarter means
And there are 4 quarters in an hour. 9 8 quarter quarter 4 3 one-fourth of a
3rd
2nd
quarter quarter
1 7 6 5 whole.
So, 1 quarter hour or of an hour = 15 minutes.
4
Quarter Past an Hour
When the minute hand is at 3 and the hour hand is slightly ahead of the number,
the time is read as quarter past an hour.
Look at the clock given below.
The minute hand is at 3 and the hour hand is slightly
11 12 1
10 2 ahead of 4. So, the time is quarter past 4 or 15
9 3
8 4 minutes past 4. It is written as 4:15. The digital clock
7 6 5 also shows the same time.
Quarter To an Hour
When the minute hand is at 9 and the hour hand is slightly behind the number, the
time is read as quarter to an hour.
Look at the clock given below.
11 12 1
The minute hand is at 9 and the hour hand is slightly 9 10 2 3
behind 4. So, the time is quarter to 4 or 15 minutes 8 4
7 6 5
to 4. It is written as 3:45.
Let us understand o’clock, half
past, quarter to and quarter past Knowledge Desk
using a diagram as shown below. Before clocks, people used sundials to tell time
by watching shadows change with the sunlight.
o’clock The Vrihat Samrat Yantra in Jaipur is the
world’s largest stone sundial.
11 12 1
10 2
quarter 9 3 quarter
to past Math Insight
8 4
7 6 5 l Half past means 30 minutes after an hour.
l Quarter past means 15 minutes after an hour.
half past
l Quarter to means 15 minutes before an hour.
174 Mathematics-2

