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    Construction

                                     6                                           and Tilings

                                               computational thinking quest

                    Tick ( ) the correct option.

                      1.  You are an apprentice to an ancient architect     4.  You  have  a  magical  strip  of papyrus  (Line
                         who only uses  a mechanical  “Half-Turn”            Segment AB) that contains a hidden message.
                         compass. This compass can only perform one          To reveal the  message,  the  strip  must  be
                         function:  bisecting any given  angle or line
                         segment.                                            divided  into  exactly  16 equal  sections  by
                         To unlock the vault of the Sultan of Sixty, you     making  vertical  “creases”  (perpendicular
                         must precisely dial the lock to an angle of 7.5°,   bisectors).
                         but the lock starts at exactly 60°. Every time        You have two ways to solve this:
                         you use the “Half-Turn” compass, it counts as
                         one “energy unit.”                                  •   The Sequential Method: You fold the whole
                         What is the minimum number of energy units            strip in half, then fold that in half, and so on.
                         required to reach exactly 7.5°?                     •   The Manual Method: You lay the strip flat
                                                 (Analytical Thinking)         and manually construct every single crease

                                (a)  1              (b)  2                     one by one.
                                                                             How many total creases (distinct perpendicular
                                (c)  3              (d)  4                   bisectors) will exist on the papyrus once it is
                      2.  In  the  ‘Tromino  Efficiency’  problem,  a 4 × 4   divided into 16 equal parts?
                         grid has 16 squares. But 1 square is occupied
                         by a pillar, if we have to cover the remaining                                  (Decomposition)
                         15 squares using  L-shaped trominoes.  How                 (a)  16             (b)  15
                         many trominoes are needed?
                                                    (Logical Thinking)              (c)  14             (d)  13

                                (a)  4              (b)  6                5.  A  regular octagon  is  rotated  around  its

                                (c)  5              (d)  8                   centre. What is the smallest angle of rotation
                                                                             that makes the octagon look identical to its
                      3.  Which of the following grids can be completely
                         tiled using both 2 × 1 tiles and L-shaped tiles     starting position?
                         made of 3 squares?     (Pattern Recognition)                                (Analytical Thinking)

                                (a)  4 × 4 grid     (b)  5 × 5 grid                 (a)  90°            (b)  60°

                                (c)  7 × 7 grid     (d)  All the above
                                                                                    (c)  45°            (d)  30°

                    50         Computational Thinking-7 (Mathematics)

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