The figures are formed using sticks and dots. The table shows the number of sticks and dots used for each figure.

1. Find (i).
2. Find (ii).
3. Which figure would need a total of 118 sticks and dots?

(a)
Pattern for the number of sticks used
Figure 1: 1 x 4 - 2 = 2
Figure 2: 2 x 4 - 2 = 6
Figure 3: 3 x 4 - 2 = 10

Formula
Number of sticks = Figure number x 4 - 2

Number of sticks used for Figure 7
= 7 x 4 - 2
= 28 - 2
= 26

(b)
Pattern for the total number of sticks and dots
Figure 1: 1 x 5 - 2 = 3
Figure 2: 2 x 5 - 2 = 8
Figure 3: 3 x 5 - 2 = 13

Formula
Total number of sticks and dots = Figure number x 5 - 2

Total number of sticks and dots for Figure 7
= 7 x 5 - 2
= 35 - 2
= 33

(c)
Total number of sticks and dots = Figure number x 5 - 2

Figure number x 5 - 2 = 118
Figure number x 5 = 118 + 2
Figure number x 5 = 120
Figure number = 120 ÷ 5 = 24

Answer(s): (a) 26; (b) 33; (c) 24