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Page 40 - CT&AI_CLasa_7_Part_1
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    A team  of archaeologists  is exploring an            Hidden Cave Secret Library
                                       ancient maze. At each junction, the team splits
                                       equally to explore all possible paths shown in
                                       the diagram. The two final destinations are a
                                       Hidden Cave (on the left) and a Secret Library
                                       (on the right). If the team starts together at the
                                       entrance and follows every possible path:

                                       (i)  What fraction of the original team will reach
                                          the Hidden Cave?
                                       (ii) What fraction will reach the Secret Library?

                                                      11     37                             37       11
                                             (a)  (i)     (ii)                      (b)  (i)     (ii)
                                                     48      48                             48      48
                                                      7      37                             27       11
                                             (c)  (i)     (ii)                      (d)  (i)     (ii)
                                                     48      48                             48       48

                      cbse handbook questions
                      Tick ( ) the correct option.
                      1.  A farmer has a square farm as shown in Image          • The area of the rectangle decreases by 100
                         1. He divides it into 4 equal parts as shown in        sq. cm
                         Image 2. Now, he allotted certain portions of        What was the original length of the rectangle?
                         land for specific purposes (Rice crop, Wheat

                         crop, Water) and some  part of the  farm is               (a)  25 cm           (b)  40 cm
                         unused, as shown in Image 3. What fraction of             (c)  45 cm           (d)  50 cm
                         the new farm is occupied by wheat?
                                  Image 1  Image 2 Image 3                3.  A grid contains apples and flowers in some of
                                                                             its cells. A 3 × 3 square frame can be placed
                                                                             on  the  grid  without  rotating  and  without
                                                                             extending outside the grid, covering exactly 9
                                   Wheat     Water                           cells. In how many different positions can the
                                   Rice      Unused area                     frame be placed so that at least one-third of
                                                                             the covered cells contain flowers?
                                    3                   1
                               (a)                  (b)
                                   16                   4
                                    5                   6
                               (c)                  (d)
                                   16                  16
                      2.  A wire is bent to form a rectangle with length                                3 × 3 GRID
                         L and breadth B. After some time, the length
                         is increased by one-fifth of its original value,
                         and the breadth is decreased by one-fifth of              (a)  3               (b)  5
                         its original value. After this change:
                            • The perimeter of the rectangle remains the           (c)  4               (d)  6
                            same

                     38        Computational Thinking-7 (Mathematics)

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