The table shows the number of sticks used to form each figure.
- Complete the table for Figure 6 (a) and (b). Give your answers in the following format. (Eg 1, 2)
- Which figure would have a total of 116 dots?
- How many sticks would be used for Figure 42?
(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 = 116
Figure number = 116 ÷ 4
Figure number = 29
Figure Number that would have a total of 116 dots: 29
(c)
Number of sticks that would be used for Figure 42
= 42 x 7 + 3
= 294 + 3
= 297
Answer(s): (a) 45, 24; (b) 29; (c) 297