The figure shows a pattern formed using some chopsticks.
- How many chopsticks are used to form 11 squares?
- How many squares can be formed using 247 chopsticks?
(a)
Pattern for the number of chopsticks
1 square: 1 x 3 + 1 = 4
2 squares: 2 x 3 + 1 = 7
3 squares: 3 x 3 + 1 = 10
Formula
Number of chopsticks = Number of squares x 3 + 1
Number of chopsticks for 11 squares
= 11 x 3 + 1
= 34
(b)
Number of squares x 3 + 1 = 247
Number of squares x 3 = 247 - 1
Number of squares = 246 ÷ 3
Number of squares = 82
Answer(s): (a) 34; (b) 82