Question 41 of 47intermediate🔍 AnalyzeFill in the Blanks6 marks

Observe and complete the given patterns. 1×11 \times 1 = 1, 11×1111 \times 11 = 121, 111×111111 \times 111 = 12,321, 1111×11111111 \times 1111 = ___; 5×55 \times 5 = 25, 15×1515 \times 15 = 225, 25×2525 \times 25 = 625, 35×3535 \times 35 = 1,225, 45×4545 \times 45 = ___, 55×5555 \times 55 = ___; 11×1211 \times 12 = 132, 11×3411 \times 34 = 374, 11×5611 \times 56 = 616, 11×7811 \times 78 = 858, 11×5411 \times 54 = ___, 11×8211 \times 82 = ___; 1×91 \times 9 + 1 = 10, 12×912 \times 9 + 2 = 110, 123×9123 \times 9 + 3 = 1,110, 1,234×9234 \times 9 + 4 = ___

(1)
Answer

1234321

(4)
Answer

11110

(2a)
Answer

2025

(2b)
Answer

3025

(3a)
Answer

594

(3b)
Answer

902

Explanation

(1) Pattern creates palindromes: 1, 121, 12321, 1234321 (2a) For n5 × n5: 4×54 \times 5 = 20, append 25 = 2025 (2b) For n5 × n5: 5×65 \times 6 = 30, append 25 = 3025 (3a) 11 × ab = a(a+b)b: 5(5+4)4 = 594 (3b) 11 × ab = a(a+b)b: 8(8+2)2 = 8(10)2 = 902 (4) Pattern: 1×91 \times 9+1=10, 12×912 \times 9+2=110, 123×9123 \times 9+3=1110, 1234×91234 \times 9+4=11110

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