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    E:\Working\Orange_Education\TouchPad_Maths_4\Open_Files\Chap_05\Chap_05
                     \ 09-Nov-2025  Bharat Arora   Proof-8                                    Reader’s Sign _______________________ Date __________

                      6.  Write the following:
                           a.  The 5th multiple of 8                           b.  The 8th multiple of 9

                           c.  Multiples of 12 less than 144                   d.  Multiples of 3 between 20 and 50
                           e.  Multiples of 9 between 50 and 100

                            f.  The first multiple of 9 which is exactly divisible by 8.
                       7.  Write t for true or F for false.

                           a.  33 is a multiple of 2.                          b.  45 is a multiple of 5.
                           c.  66 is a multiple of 6.                          d.  109 is a multiple of 11.

                           e.  96 is a multiple of 8.                          f.   195 is a multiple of 9.

                      8.  Observe  the pattern and  tell which  number  has  these multiples.  Also, write the
                           next three multiples.
                           a.  24, 32, 40, ____, ____, ____                    b.  45, 54, 63, ____, ____, ____

                           c.  70, 84, 98, ____, ____, ____                    d.  30, 45, 60, ____, ____, ____

                    COMMON MultipleS

                    Consider a jumping race held between two competitors, Bunny and Kitty.

                    On a number track, Bunny, a rabbit, jumps 4 steps at a time and Kitty, a cat, jumps
                    3 steps at a time.

                       0 1  2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20  21 22 23 24 25 26 27 28 29 30  31 32 33 34 35 36 37 38 39 40  41 42 43 44 45 46 47 48 49 50

                    On which numbers will Bunny jump?

                    Bunny will jump on numbers that are multiples of 4, i.e., 4, 8, 12, 16, 20, 24, 28, ...

                                               0   4    8  12 16 20 24 28 32 36 40 44 48

                    On which numbers will Kitty jump?
                    Kitty will jump on all multiplies of 3, i.e., 3, 9, 12, 15, 18, 21, 24, 27, 30, ...

                                        0    3   9   12 15 18 21 24 27 30 33 36 39 42 45 48

                    Are there any numbers on which both Bunny and Kitty will jump?

                    Yes, they both will jump on 12, 24, 36, 48 ... These numbers are multiples of both 3
                    and 4. Such numbers that are multiples of two or more numbers are called common
                    multiples.

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                                                                                           Multiples and Factors

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