The table shows the number of sticks used to form each figure.
- Complete the table for Figure 7 (a) and (b). Give your answers in the following format. (Eg 1, 2)
- Which figure would have a total of 84 dots?
- How many sticks would be used for Figure 61?
(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 7
= 7 x 7 + 3
= 49 + 3
= 52
Number of dots for Figure 7
= 7 x 4
= 28
(b)
Figure number x 4 = 84
Figure number = 84 ÷ 4
Figure number = 21
Figure Number that would have a total of 84 dots: 21
(c)
Number of sticks that would be used for Figure 61
= 61 x 7 + 3
= 427 + 3
= 430
Answer(s): (a) 52, 28; (b) 21; (c) 430