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

1. Find the number of matchsticks in Figure 8.
2. What is the perimeter of Figure 96?
3. Which figure requires a total number of 2271 matchsticks?

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

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

Number of matchsticks in Figure 8
= 8 x 8 + 7
= 71

(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 96
= 96 x 2 + 7
= 199

(c)
Figure number x 8 + 7 = 2271
Figure number x 8 = 2271 - 7 = 2264
Figure number = 2264 ÷ 8 = 283

Answer(s): (a) 71; (b) 199; (c) 283