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E:\Working\Focus_Learning\Math_Genius_2_(09-10-2023)\Open_Files\Chap_10
               \ 16-Feb-2024  Bharat Arora   Proof-6                                    Reader’s Sign _______________________ Date __________





              Reading Time When the Minute Hand is at 3 or 9 (Quarter the Hour)

              We know that:

              1 hour = 60 minutes                                                 11  12  1             Note
                                                                                10  4th  1st  2   •  1 quarter means
                                                                                   quarter quarter
              And there are 4 quarters in an hour.                              9 8  quarter quarter  4 3  one-fourth of a
                                                                                       2nd
                                                                                    3rd
                                          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.

                 Look at the clock given on the right side.
                                                                                         11  12  1
                 The minute hand is at 9 and the hour hand is slightly                9 10      2 3

                 behind 4.                                                             8        4
                                                                                         7  6  5
                 So, the time is quarter to 4 or 15 minutes to 4.
                 It is written as 3:45.


              Let us understand o’clock, half past, quarter to and quarter past using a diagram

              as shown below.
                            o’clock


                            11  12  1
                          10        2
               quarter    9          3   quarter                                 Remember
                  to                       past                 l  Half past means 30 minutes after an hour.
                           8        4
                            7  6  5                             l  Quarter past means 15 minutes after an hour.

                            half past                           l  Quarter to means 15 minutes before an hour.



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