The figure shows a pattern formed using some chopsticks.
- How many chopsticks are used to form 41 squares?
- How many squares can be formed using 232 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 41 squares
= 41 x 3 + 1
= 124
(b)
Number of squares x 3 + 1 = 232
Number of squares x 3 = 232 - 1
Number of squares = 231 ÷ 3
Number of squares = 77
Answer(s): (a) 124; (b) 77
