Question

color by classification
perfect squares
color in each square in the grid below that contains a perfect square.
102 95 115 11 40 121 361 222 8 135
75 17 24 99 30 1 25 169 37 82
150 50 15 33 80 225 35 16 324 3
5 98 63 95 70 256 84 70 36 120
111 15 300 10 20 1 20 110 196 60
45 14 50 140 12 4 145 40 4 37
55 90 48 40 80 16 95 49 2 85
105 98 49 144 25 289 60 96 26 90
13 400 9 36 64 9 45 75 35 5
101 35 81 100 64 10 35 65 65 82

Explanation:

Step1: Recall perfect square definition

A perfect square is a number \( n = k^2 \), where \( k \) is an integer. We check each number:

• \( 121 = 11^2 \), \( 361 = 19^2 \), \( 1 = 1^2 \), \( 25 = 5^2 \), \( 169 = 13^2 \), \( 225 = 15^2 \), \( 16 = 4^2 \), \( 324 = 18^2 \), \( 256 = 16^2 \), \( 36 = 6^2 \), \( 1 = 1^2 \), \( 196 = 14^2 \), \( 4 = 2^2 \), \( 4 = 2^2 \), \( 16 = 4^2 \), \( 49 = 7^2 \), \( 49 = 7^2 \), \( 144 = 12^2 \), \( 25 = 5^2 \), \( 289 = 17^2 \), \( 400 = 20^2 \), \( 9 = 3^2 \), \( 36 = 6^2 \), \( 64 = 8^2 \), \( 9 = 3^2 \), \( 81 = 9^2 \), \( 100 = 10^2 \), \( 64 = 8^2 \).

Step2: Identify squares in grid

Mark each cell with these numbers:

• Row 1: 121, 361
• Row 2: 1, 25, 169
• Row 3: 225, 16, 324
• Row 4: 256, 36
• Row 5: 1, 196
• Row 6: 4, 4
• Row 7: 16, 49
• Row 8: 49, 144, 25, 289
• Row 9: 400, 9, 36, 64, 9
• Row 10: 81, 100, 64

Answer:

The squares to color are: 121, 361, 1, 25, 169, 225, 16, 324, 256, 36, 1, 196, 4, 4, 16, 49, 49, 144, 25, 289, 400, 9, 36, 64, 9, 81, 100, 64 (locate these in the grid and color).