Page 3 - CH-1 -(PATTERNS IN MATHEMATICS) -WS
P. 3

(figure-3)













                                                                                                            (figure-4)











                                                                                                      (figure-5)

                     Observe the shape sequence and answer the following.

                    i.      Name the shape sequence shown in the figure-1.

                    ii.     Name the shape sequence shown in the figure-2.


                   iii.     Name the shape sequence shown in the figure-3.

                   iv.      Name the shape sequence shown in the figure-4.

                    v.      Name the shape sequence shown in the figure-5.

               10     Assertion: 15 is both a triangular number and a square number.
                     Reason: If dots arrangement of a number is represented in triangle as well as in square,
                     then the number is called both triangular as well as square number or square- triangular
                     number.
                     In the given question, a statement of Assertion is followed by a statement of Reason.
                     Choose the correct option as:
                     (a) Both assertion and reasons are true and the reason is the correct explanation of
                     assertion.
                     (b) Both assertion and reason are true but the reason is not the correct explanation of the
                     assertion.
                     (c) Assertion is true and the reason is false.
                     (d) Assertion is false and the reason is true.

               11    Assertion (A): The number of edges in a complete graph with 5 vertices is 10.
                     Reason (R): The number of edges in a complete graph is given by n(n−1)/2.
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