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primary 5 | Maths | Fractions
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Sid
Sid

primary 5 chevron_right Maths chevron_right Fractions chevron_right Singapore

Please solve the problem

Date Posted: 3 years ago
Views: 497
sstrike
Sstrike
3 years ago
fig. n →
white squares # → 4×(n-1)²
side # → 2n-1
black squares # → 1+4×(n-1)


(a) n = 5
black + white
(2n-1)² = 81 (Ans)

(b) n = 6
white
4×(n-1)²
= 4×(6-1)²
= 100 (Ans)

(c) n = 15
black
1 + 4×(15-1)
= 57 (Ans)

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Annabel
Annabel's answer
37 answers (Tutor Details)
1st
Well my method maybe time consuming, but it is a fool-proof way to solve it.

Black squares should be pretty easy.

White squares are the sum of all the odd numbers (For example, for Figure 6, then we add all 5 odd numbers then multiply by 4). For Figure 15, we add all 14 odd numbers then multiply by 4.
Sid
Sid
3 years ago
Thanks a lot
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sstrike
Sstrike's answer
5603 answers (A Helpful Person)