The following pattern is made up of shaded and unshaded squares.

1. Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
2. Find the number of unshaded squares for Figure 29.
3. Find the number of shaded squares for Figure 29.

(a)
Total number of squares:
Figure 1: 4 = 2 x 2 = (1 + 1)²
Figure 2: 9 = 3 x 3 = (2 + 1)²
Figure 3: 16 = 4 x 4 = (3 + 1)²
Figure 4: 25 = 5 x 5 = (4 + 1)²

Formula:
Total number of squares = (Figure Number + 1)²

For odd-numbered figures, the number of unshaded squares is equal to the number of shaded squares.

For even-number figures, the number of unshaded squares is 1 more than the number of shaded squares.

Figure 7 is an odd-numbered figure.

(iii)
Total number of squares in Figure 7
= (7 + 1)²
= 8²
= 8 x 8
= 64

64 ÷ 2 = 32 r 0

(i)
Number of unshaded squares in Figure 7 = 32

(ii)
Number of shaded squares in Figure 7 = 32 

(b)
Total number of squares in Figure 29
= (29 + 1)²
= 30²
= 30 x 30
= 900

900 ÷ 2 = 450 r 0

Number of unshaded squares for Figure 29 = 450 

(c)
Number of shaded squares for Figure 29 = 450 

Answer(s): (a) 32, 32, 64; (b) 450; (c) 450