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Question
primary 6 | Maths
| Geometry
2 Answers Below
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Help to solve.. Thanks!
Date Posted: 11 months ago
Views: 118
observe
# of columns = # fig
(not difficult)
# of rows
tk example of Fig 3
(3 is odd number )
white = grey
⇨ for ODD number fig
white = grey = (n+1)÷2
chk
when n=1
w=g=(1+1)÷2=1
when n=3
w=g=(3+1)÷2=2
...
based on this clue
# of rows
for EVEN number fig, it can be derived from ODD gif number
w = n÷2
g = w+1
chk
when n=2
w=n÷2=1
g = w+1 = 2
when n=4
w=4÷2=2
g = w+1 = 3
(b)
n=15
# of rows
white = grey = (n+1)÷2
= 8
15×8 = 120 (Ans)
(c)
w=80÷2=40
g = 40+1 = 41
80×41 = 3280 (Ans)
# of columns = # fig
(not difficult)
# of rows
tk example of Fig 3
(3 is odd number )
white = grey
⇨ for ODD number fig
white = grey = (n+1)÷2
chk
when n=1
w=g=(1+1)÷2=1
when n=3
w=g=(3+1)÷2=2
...
based on this clue
# of rows
for EVEN number fig, it can be derived from ODD gif number
w = n÷2
g = w+1
chk
when n=2
w=n÷2=1
g = w+1 = 2
when n=4
w=4÷2=2
g = w+1 = 3
(b)
n=15
# of rows
white = grey = (n+1)÷2
= 8
15×8 = 120 (Ans)
(c)
w=80÷2=40
g = 40+1 = 41
80×41 = 3280 (Ans)
See 2 Answers
done
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Hope this helps. Regards
Date Posted:
11 months ago
My apologies. My answer to part b is a mistake. It should be 15 × 8 = 120
Thank you and best regards.
Thank you and best regards.
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To be honest I think this is a very tough question for primary 6. I hope my solution makes sense to you and that it helps
Date Posted:
11 months ago
Greetings, Mister Low. You are correct for the answer in part b. I made a careless mistake.
The way I see the pattern is the total number of squares being the pattern number multiplied by the next higher integer.
The number of white squares is the pattern number multiplied by the order of the pattern number as an odd or even number. So 15 is the 8th odd number, so we have 15 x 8 = 120.
In even rows, the white and grey squares simply share the total number of squares evenly.
Regards
The way I see the pattern is the total number of squares being the pattern number multiplied by the next higher integer.
The number of white squares is the pattern number multiplied by the order of the pattern number as an odd or even number. So 15 is the 8th odd number, so we have 15 x 8 = 120.
In even rows, the white and grey squares simply share the total number of squares evenly.
Regards
Yes my working probably makes more sense to secondary school students, while yours solves it in a way that is much simpler and easier to understand, and this is probably what the question is expecting. Thanks
Thank you, Mister Low. I love your explanation for the question. Regards
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