Page 40 - CT&AI_CLasa_7_Part_1

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)