Monday, 4 April 2011

Solutions for Mathematics Enrichment Session 2 Questions

(1) 4
(2) 8
(3) 16
(4) 45
(5) 36
(6) 285

Detail solutions for Q6.

100

200, 201
210, 211

300, 301, 302
310, 311, 312
320, 321, 322

400,401, 402,403
410,411, 412,413
420,421, 422,423
430,431, 432,433

500,501,502, 503,504
510,511,512, 513,514
520,521,522, 523,524
530,531,532, 533,534
540,541,542, 543,544

:      :      :      :      :      :      :
:      :      :      :      :      :      :

900, 901, 902, 903, 904, 905, 906, 907, 908
:
:
:
:
980, 981, 982, 983, 984, 985, 986, 987, 988

Total is
(1×1) + (2×2) + (3×3) + (4×4) + (5×5) + (6×6) + (7×7) + (8×8) + (9×9)

= 1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 = 285

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