Sticks are used to make the figures as shown.
- How many sticks are used to make Figure 10?
- Which figure requires the use of 172 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 10
= 10 x 6 - 2
= 60 - 2
= 58
(b)
Figure Number x 6 - 2 = 172
Figure Number x 6 = 172 + 2
Figure Number x 6 = 174
Figure Number = 174 ÷ 6
Figure Number = 29
Figure Number that requires the use of 172 sticks = 29
Answer(s): (a) 58; (b) 29