Explanation:
Let's solve each problem step by step. Remember, a square number means multiplying a number by itself. For example, 6² means 6 × 6.
1) 6² = 6 × 6 = 36
2) 7² = 7 × 7 = 49
3) 9² = 9 × 9 = 81
4) 6² + 2² = (6 × 6) + (2 × 2) = 36 + 4 = 40
5) 8² + 3² = (8 × 8) + (3 × 3) = 64 + 9 = 73
6) 4² + 10² = (4 × 4) + (10 × 10) = 16 + 100 = 116
7) 9² + 5² = (9 × 9) + (5 × 5) = 81 + 25 = 106
8) 9² − 3² = (9 × 9) − (3 × 3) = 81 − 9 = 72
9) 7² − 3² = (7 × 7) − (3 × 3) = 49 − 9 = 40
10) 12² − 10² = (12 × 12) − (10 × 10) = 144 − 100 = 44
11) 11² − 7² = (11 × 11) − (7 × 7) = 121 − 49 = 72
12) 2² × 2² = (2 × 2) × (2 × 2) = 4 × 4 = 16
13) 2² × 5² = (2 × 2) × (5 × 5) = 4 × 25 = 100
14) 9² + 3² = (9 × 9) + (3 × 3) = 81 + 9 = 90
15) 8² + 2² = (8 × 8) + (2 × 2) = 64 + 4 = 68
I have checked all calculations carefully. Each step follows the rule of squaring the number and then doing the addition or subtraction.
Final Answer:
1) 36
2) 49
3) 81
4) 40
5) 73
6) 116
7) 106
8) 72
9) 40
10) 44
11) 72
12) 16
13) 100
14) 90
15) 68
Parent Tip: Review the logic above to help your child master the concept of square number worksheet.