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frogs investigation
4 posters
maths @ the ics :: Year 7 :: Mr Safdar :: Maths Challenge
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frogs investigation
Using X O notation , show line by line, how you move the green frogs to the other side. Frogs can only jump one forward to over another frog. They cant go backwards.
How many moves are needed for
a) 1 red and 1 green frogs
b) 2 red and 2 green frogs
c) 3 red and 3 green frogs
d) 4 red and 4 green frogs
d) is there a pattern?
How many moves are needed for
a) 1 red and 1 green frogs
b) 2 red and 2 green frogs
c) 3 red and 3 green frogs
d) 4 red and 4 green frogs
d) is there a pattern?
Last edited by Admin on Tue Nov 02, 2010 12:48 am; edited 1 time in total
Answers
The answers to the frog investigation are
no.1
x o
x o
o x
o x
no.2
x x o o
x x o o
x o x o
x o x o
o x x o
o x o x
o x o x
o o x x
o o x x
no.3
x x x o o o
x x x o o o
x x o x o o
x x o x o o
x x o o x o
x o x o x o
x o x o x o
o x x o x o
o x o x x o
o x o x o x
o x o x o x
o x o o x x
o o x o x x
o o x o x x
o o o x x x
o o o x x x
no.4
x x x x o o o o
x x x x o o o o
x x x o x o o o
x x x o x o o o
x x x o o x o o
x x o x o x o o
x x o x o x o o
x o x x o x o o
x o x o x x o o
x o x o x o x o
x o x o x o x o
x o x o x o o x
x o x o o x o x
x o o x o x o x
o x o x o x o x
o x o x o x o x
o o x x o x o x
o o x o x x o x
o o x o x o x x
o o x o x o x x
o o x o o x x x
o o o x o x x x
o o o x o x x x
o o o o x x x x
o o o o x x x x
no.1
x o
x o
o x
o x
no.2
x x o o
x x o o
x o x o
x o x o
o x x o
o x o x
o x o x
o o x x
o o x x
no.3
x x x o o o
x x x o o o
x x o x o o
x x o x o o
x x o o x o
x o x o x o
x o x o x o
o x x o x o
o x o x x o
o x o x o x
o x o x o x
o x o o x x
o o x o x x
o o x o x x
o o o x x x
o o o x x x
no.4
x x x x o o o o
x x x x o o o o
x x x o x o o o
x x x o x o o o
x x x o o x o o
x x o x o x o o
x x o x o x o o
x o x x o x o o
x o x o x x o o
x o x o x o x o
x o x o x o x o
x o x o x o o x
x o x o o x o x
x o o x o x o x
o x o x o x o x
o x o x o x o x
o o x x o x o x
o o x o x x o x
o o x o x o x x
o o x o x o x x
o o x o o x x x
o o o x o x x x
o o o x o x x x
o o o o x x x x
o o o o x x x x
kalmengistu- Posts : 9
Points : 10
Join date : 2010-10-10
???
I don't really get Kal's answer.He should put a space between.Next, I tried to do it too....
a)
G R
GR 3MOVES
RG
R G
b)
GG RR
G GRR
GRG R
GRGR
GR RG 8MOVES
RGRG
R GRG
RRG G
RR GG
c)
GGG RRR
GG GRRR
GGRG RR
GGRGR R
GGR RGR
G RGRGR
GRGRGR
RG GRGR
RGRG GR 15MOVES
RGRGRG
RGRGR G
RGR RGG
R RGRGG
RR GRGG
RRRG GG
RRR GGG
d)
GGGG RRRR
GGG GRRRR
GGGRG RRR
GGGRGR RR
GGGR RGRR
GG RGRGRR
G GRGRGRR
GRG GRGRR
GRGRG GRR
GRGRGRG R
GRGRGRGR
GRGRGR RG
GRGR RGRG
GR RGRGRG
RGRGRGRG
R GRGRGRG
RRG GRGRG
RRGRG GRG 24MOVES
RRGRGRG G
RRGRGR GG
RRGR RGGG
RR RGRGGG
RRR GRGGG
RRRRG GGG
RRRR GGGG
e) I think there is a pattern.First was 3moves, 8moves,15moves,24moves.
3+5=8 8+7=15 15+9=24
5+2=7 7+2=9
Another pattern is when we are doing frog investigation, we haver to make it like...
ex) RGRGRGR then we change the places.
a)
G R
GR 3MOVES
RG
R G
b)
GG RR
G GRR
GRG R
GRGR
GR RG 8MOVES
RGRG
R GRG
RRG G
RR GG
c)
GGG RRR
GG GRRR
GGRG RR
GGRGR R
GGR RGR
G RGRGR
GRGRGR
RG GRGR
RGRG GR 15MOVES
RGRGRG
RGRGR G
RGR RGG
R RGRGG
RR GRGG
RRRG GG
RRR GGG
d)
GGGG RRRR
GGG GRRRR
GGGRG RRR
GGGRGR RR
GGGR RGRR
GG RGRGRR
G GRGRGRR
GRG GRGRR
GRGRG GRR
GRGRGRG R
GRGRGRGR
GRGRGR RG
GRGR RGRG
GR RGRGRG
RGRGRGRG
R GRGRGRG
RRG GRGRG
RRGRG GRG 24MOVES
RRGRGRG G
RRGRGR GG
RRGR RGGG
RR RGRGGG
RRR GRGGG
RRRRG GGG
RRRR GGGG
e) I think there is a pattern.First was 3moves, 8moves,15moves,24moves.
3+5=8 8+7=15 15+9=24
5+2=7 7+2=9
Another pattern is when we are doing frog investigation, we haver to make it like...
ex) RGRGRGR then we change the places.
Meejin- Posts : 7
Points : 8
Join date : 2010-10-10
Age : 25
Perhaps i figured it out..
I Cant say anything that Meejin Hasn't said, so (Insert quote here!)
Good finding!
Good finding!
CrAyaan- Posts : 16
Points : 16
Join date : 2010-10-09
maths @ the ics :: Year 7 :: Mr Safdar :: Maths Challenge
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