The figure shows a pattern formed using some ice-cream sticks.
- How many ice-cream sticks are used to form 80 squares?
- How many squares can be formed using 193 ice-cream sticks?
(a)
Pattern for the number of ice-cream sticks
1 square: 1 x 3 + 1 = 4
2 squares: 2 x 3 + 1 = 7
3 squares: 3 x 3 + 1 = 10
Formula
Number of ice-cream sticks = Number of squares x 3 + 1
Number of ice-cream sticks for 80 squares
= 80 x 3 + 1
= 241
(b)
Number of squares x 3 + 1 = 193
Number of squares x 3 = 193 - 1
Number of squares = 192 ÷ 3
Number of squares = 64
Answer(s): (a) 241; (b) 64
