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

1. Complete the table for Figure 6 (a) and (b). Give your answers in the following format. (Eg 1, 2)
2. Which figure would have a total of 112 dots?
3. How many sticks would be used for Figure 31?

(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 6
= 6 x 7 + 3
= 42 + 3
= 45

Number of dots for Figure 6
= 6 x 4
= 24

(b)
Figure number x 4 = 112
Figure number = 112 ÷ 4
Figure number = 28

Figure Number that would have a total of 112 dots: 28

(c)
Number of sticks that would be used for Figure 31
= 31 x 7 + 3
= 217 + 3
= 220

Answer(s): (a) 45, 24; (b) 28; (c) 220