The table shows the number of sticks used to form each figure.

1. Complete the table for Figure 5 (a) and (b). Give your answers in the following format. (Eg 1, 2)
2. Which figure would have a total of 72 dots?
3. How many sticks would be used for Figure 45?

(a)
Number of sticks:
Figure 1: 1 x 7 + 3 = 10
Figure 2: 2 x 7 + 3 = 17
Figure 3: 3 x 7 + 3 = 24
Figure 4: 4 x 7 + 3 = 31

Formula:
Number of sticks = Figure Number x 7 + 3

Number of dots:
Figure 1: 1 x 4 = 4
Figure 2: 2 x 4 = 8
Figure 3: 3 x 4 = 12
Figure 4: 4 x 4 = 16

Formula:
Number of dots = Figure Number x 4

Number of sticks for Figure 5
= 5 x 7 + 3
= 35 + 3
= 38

Number of dots for Figure 5
= 5 x 4
= 20

(b)
Figure number x 4 = 72
Figure number = 72 ÷ 4
Figure number = 18

Figure Number that would have a total of 72 dots: 18

(c)
Number of sticks that would be used for Figure 45
= 45 x 7 + 3
= 315 + 3
= 318

Answer(s): (a) 38, 20; (b) 18; (c) 318