Sticks are used to make the figures as shown.
- How many sticks are used to make Figure 8?
- Which figure requires the use of 178 sticks?
(a)
Pattern for the number of sticks
Figure 1: 1 x 6 - 2 = 4
Figure 2: 2 x 6 - 2 = 10
Figure 3: 3 x 6 - 2 = 16
Figure 4: 4 x 6 - 2 = 22
Formula:
Number of sticks used = Figure Number x 6 - 2
Number of sticks used to make Figure 8
= 8 x 6 - 2
= 48 - 2
= 46
(b)
Figure Number x 6 - 2 = 178
Figure Number x 6 = 178 + 2
Figure Number x 6 = 180
Figure Number = 180 ÷ 6
Figure Number = 30
Figure Number that requires the use of 178 sticks = 30
Answer(s): (a) 46; (b) 30