Page 52 - CT&AI_CLasa_7_Part_1

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)