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

400401 402403
410411 412413
420421 422423
430431 432433

500501502 503504
510511512 513514
520521522 523524
530531532 533534
540541542 543544

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

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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