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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.




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