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                 \ 07-Nov-2024  Bharat Arora   Proof-8             Reader’s Sign _______________________ Date __________





                Think about the step size and number of students who participated. Is there any connection
                between them?

                Here, step size 2 doesn’t form a star with 8 persons. So, numbers (2, 8) are not a pair of co-prime.
                But, step size 3 forms a star with 8 persons. So, numbers (3, 8) is a pair of co-prime.

                Stand students in different groups and take several step sizes to explore co-primes.


                                                                             Think and Answer

                                                                         On a circle, ten pegs are placed at
                                                                         equal distance, and numbered as 1 to 10. Pegs are
                                                                         attached with a string as shown below. Find the
                                                                         string gap and check whether the string gap and
                                                                         pegs connected are co-primes.
















                       maths fun
                                                             Prime Board Game
                       To play this game you need to have 8-faced die with numbers 2 to 9 written on it and a game board. The
                       students will be divided into groups of 4.

                       Method: Throw the die as you do in a ludo game. If the die faces up with a prime number, then you can
                       move ahead. If it faces up with a composite number, the turn will automatically get passed over to the next
                       student. Keep in mind the prime number below 10. Reaching 97 will make the individual a winner.



                                                                   72  71  70  69  59  58  57  56
                                                                   73      68   60      55
                                                                   74 75   67   61    53 54
                                                                     76    66   62    52
                                                             80  79  78  77  65  64  63  51  50  49 48  47
                                                             81                                 46
                                                             82 83 84 85 86  87 88 89  41 42 43 44 45
                                                                                90    40
                                                         FiniSh  97  96  95 94  93  92 91  39  38  37  36  35
                                                                                                34
                                                                 1  2  3   15 16 17   29 30 31 32  33
                                                         START        4    14   18    28
                                                                   6  5    13   19    27  26
                                                                   7       12   20      25
                                                                   8  9 10 11   21 22 23 24




                                                                  159                                          Prime Time
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