Each of the figures is made up of 1-cm chopsticks.
The table shows the number of chopsticks used to make the figures and their perimeters.

1. Find the number of chopsticks in Figure 16.
2. What is the perimeter of Figure 50?
3. Which figure requires a total number of 1567 chopsticks?

(a)
Pattern for the number of chopsticks
Figure 1: 1 x 8 + 7 = 15
Figure 2: 2 x 8 + 7 = 23
Figure 3: 3 x 8 + 7 = 31

Formula:
Number of chopsticks = Pattern number x 8 + 7

Number of chopsticks in Figure 16
= 16 x 8 + 7
= 135

(b)
Pattern for the perimeter of the figure
Figure 1 = 1 x 2 + 7 = 9
Figure 2 = 2 x 2 + 7 = 11
Figure 3 = 3 x 2 + 7 = 13

Formula:
Perimeter of the figure = Pattern number x 2 + 7

Perimeter of figure 50
= 50 x 2 + 7
= 107

(c)
Figure number x 8 + 7 = 1567
Figure number x 8 = 1567 - 7 = 1560
Figure number = 1560 ÷ 8 = 195

Answer(s): (a) 135; (b) 107; (c) 195