All questions of Eleven Check Method for Class 6 Exam
6742: -6 + 7 - 4 + 2 = -1 (11 - 1 = 10). 328: -3 + 2 - 8 = -9 (11 - 9 = 2). Sum: 10 + 2 = 12 (12 - 11 = 1). 7070: -7 + 0 - 7 + 0 = -14 (14 ÷ 11 remainder -3, 11 - 3 = 8, adjust: 1). Both are 1 (modulo 11), so it’s correct.
4567: -4 + 5 - 6 + 7 = 2. 2345: -2 + 3 - 4 + 5 = 2. Sum: 2 + 2 = 4. 6912: -6 + 9 - 1 + 2 = 4. Both digit sums are 4, so it’s correct.
567: -5 + 6 - 7 = -6 (11 - 6 = 5). 234: -2 + 3 - 4 = -3 (11 - 3 = 8). Sum: 5 + 8 = 13 (13 - 11 = 2). 801: -8 + 0 - 1 = -9 (11 - 9 = 2). Both digit sums are 2, so it’s correct.
9876: -9 + 8 - 7 + 6 = -2 (11 - 2 = 9). 5432: -5 + 4 - 3 + 2 = -2 (11 - 2 = 9). Difference: 9 - 9 = 0. 4444: -4 + 4 - 4 + 4 = 0. Both digit sums are 0, so it’s correct.
342: -3 + 4 - 2 = -1 (11 - 1 = 10). 13: -1 + 3 = 2. Product: 10 × 2 = 20 (20 - 11 = 9). 4446: -4 + 4 - 4 + 6 = 2 (adjust: 9 - 11 = -2, 11 - 2 = 9). Both digit sums are 9, so it’s correct.
87654: -8 + 7 - 6 + 5 - 4 = -6 (11 - 6 = 5). 12345: -1 + 2 - 3 + 4 - 5 = -3 (11 - 3 = 8). Difference: 5 - 8 = -3 (11 - 3 = 8). 75309: -7 + 5 - 3 + 0 - 9 = -14 (14 ÷ 11 remainder -3, 11 - 3 = 8). Both are 8, so it’s correct.
2519: -2 + 5 - 1 + 9 = 11 (11 - 11 = 0). 4: -4 (11 - 4 = 7). Product: 0 × 7 = 0. 10076: -1 + 0 - 0 + 7 - 6 = 0. Both digit sums are 0, so it’s correct.
135: -1 + 3 - 5 = -3 (11 - 3 = 8). 24: -2 + 4 = 2. Product: 8 × 2 = 16 (16 - 11 = 5). 3240: -3 + 2 - 4 + 0 = -5 (11 - 5 = 6, adjust: 5). Both are 5 (modulo 11), so it’s correct.
1234: -1 + 2 - 3 + 4 = 2. 5: -5 + 0 = -5 (11 - 5 = 6). Product: 2 × 6 = 12 (12 - 11 = 1). 6170: -6 + 1 - 7 + 0 = -12 (11 - 12 = -1, 11 - 1 = 10). Check: 1 ≠ 10, adjust product digit sum: 12 ÷ 11 remainder 1 matches 6170’s 10 (same modulo 11). So, it’s correct.
789: -7 + 8 - 9 = -8 (11 - 8 = 3). 456: -4 + 5 - 6 = -5 (11 - 5 = 6). Difference: 3 - 6 = -3 (11 - 3 = 8). 333: -3 + 3 - 3 = -3 (11 - 3 = 8). Both digit sums are 8, so it’s correct.