Page 161 - NUMINO Challenge_B1

Answer
Key

2 4 When 1, 2, 3, stories of wooden blocks are

Number of 5 7 (5 2) 9 11 13 stacked, 1, 1 (2 2), 1 (2 2) (3 3),
Black Stones number of blocks are needed. Following this
(5 2 2) (5 2 2 2) (5 2 2 2 2) pattern, the number of blocks needed for 6
stories is
Number of 1 3 (1 2) 6 10 15 1 (2 2) (3 3) (4 4) (5 5) (6 6) 91
White Stones blocks.
(1 2 3) (1 2 3 4 (1 2 3 4 5)

There will be more white stones than black
stones by 5th arrangement.

11 Sierpinski Triangle p.94~p.95

Creative Thinking p.92~p.93 7, 7, 49

Example 4, 9 3, 3

1 If the tables are arranged as shown below, each Example 8 8, 64, 8 512, 8

table at the end can sit 2 people. Only 1 person Type 11-1 Find the Increasing Number p.96~p.97
can sit at each table in the center. Excluding the
4 people on both ends, 12 tables are needed for
the other 12 people. Therefore, a total of 14
tables is needed.

1 Step Step 1 Step 2 Step 3 Step 4
4 (2 2) 9 (3 3) 16 (4 4)
Type of 1 (1 1) 4 (2 2) 9 (3 3)
Squares

1

2 The E-shaped thread divides into 1 3, 1 3 3, 1

1 3 3 3, pieces when cut 1, 2, 3, times. 1 0 1 (1 1) 4 (2 2)
Therefore, the thread will be divided into
1 3 3 3 3 3 3 19 pieces when cut for 1 0 0 1 (1 1)
the sixth time.
Total 1 5 14 30
3 n n white stones and 4 (n 1) black stones
2 (1 1) (2 2) (3 3) (4 4) (5 5) 55
are placed in each arrangement.
In the 7th arrangement, there are 7 7 49 white 3 7 7 49
and 4 (7 1) 32 black stones. Therefore, the
7th arrangement will have 17 more white stones.

NUMINO Challenge B1