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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.

                 174                                                                                     Mathematics-2

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