Nora made patterns using squares and wooden rods and recorded the pattern in the table shown.
| Figure number |
Number of squares |
Number of wooden rods |
| 1 |
3 |
10 |
| 2 |
4 |
13 |
| 3 |
5 |
16 |
| 4 |
6 |
19 |
- How many squares are needed for Figure 48?
- How many wooden rods are needed for Figure 48?
- Which figure needs a total of 82 wooden rods?
(a)
Pattern for the number of squares
Figure 1: 1 + 2 = 3 squares
Figure 2: 2 + 2 = 4 squares
Figure 3: 3 + 2 = 5 squares
Figure 4: 4 + 2 = 6 squares
Formula:
Number of squares = Figure number + 2
Number of squares in Figure 48
= 48 + 2
= 50
(b) Pattern for the number for number of wooden rods Figure 1: (1 x 3) + 7 = 10 wooden rods Figure 2: (2 x 3) + 7 = 13 wooden rods Figure 3: (3 x 3) + 7 = 16 wooden rods Figure 4: (4 x 3) + 7 = 19 wooden rods Formula:Number of wooden rods = (Figure number x 3) + 7 Number of wooden rods in Figure 48 = (48 x 3) + 7= 144 + 7 = 151 (c)(Figure number x 3) + 7 = 82Figure number x 3 = 82 - 7 = 75
Figure number = 75 ÷ 3 = 25
Answer(s): (a) 50; (b) 151; (c) 25
