Transcript Eric The Sheep - Mathematics Centre

Eric The Sheep
Heath, Rainer, Nathan and Tom
How We Figured It Out
First off, we made a table of the
answers up to 20, figuring the answers
out by drawing them out.
We saw a pattern emerge, for every
three sheep in front of Eric, the number
would increase
FOR EVERY 1
SHEEP SHORN,
ERIC WILL JUMP
2 SHEEP
No. of sheep
in front of
Eric
1
No. of
sheep shorn
before Eric
1
No. of
sheep in
front of Eric
11
No. of
sheep shorn
before Eric
4
2
1
12
4
3
1
13
5
4
2
14
5
5
2
15
5
6
2
16
6
7
3
17
6
8
3
18
6
9
3
19
7
10
4
20
7
Formula for 1 sheerer
X
3+1
(except if the value of x is a multiple of 3,
ie. 3, 6, 9, 12)
You must only take the integer and leave
out the decimal numbers.
Example. 5/3+1= 2
Example. 12/3= 4
A second formula
A second formula we found to work
was: if the number of sheep in front of
Eric is a multiple of 3, simply divide by
3. If not, round the number up to the
closet multiple of 3, ie. Round 19 up to
21 and divide by 3 to find 7, the answer.
No. in front of
Eric
10
15
11
12
13
20
8
100
1000
No. sheep shorn
before Eric
4
5
4
4
5
7
3
34
334
Questions
2. Yes, You can predict it using the
formula. All you have to do is round up
to the next multiple of 3 and then
divide by 3.
3. If Eric was to jump 4 round up to to
the next multiple of 4 and divide by 4.
Same with method used with 5, just
sub in 5 instead of 4
FOR EVERY 3
SHEEP SHORN,
ERIC WILL JUMP
2 SHEEP
No. of sheep
in front of
Eric
1
No. of
sheep shorn
before Eric
1
No. of
sheep in
front of Eric
11
No. of
sheep shorn
before Eric
7
2
2
12
8
3
3
13
9
4
3
14
9
5
3
15
9
6
4
16
10
7
5
17
11
8
6
18
12
9
6
19
12
10
6
20
12
Pattern for 3 shearers
A pattern emerged, “No. shorn before Eric,”
goes up by 1 , up by 1 again, then up by 1
and stay the same for the next 3, then
repeats I.e. 1,2,3,3,3,4,5,6,6,6
The number at the end of the three same
numbers created a ratio with the “No. in front
of Eric,” of 5:3 I.e. 20:12, 15:9, 10:6
To figure out, round the “number in front of
Eric” up to the next multiple of 5, then use
the pattern to figure it out and count back
Tried method
472 sheep in front of Eric, round up to
475, sub into ratio 5:3
475:285, divide down= 5:3
Count 285 back 3 places (475-472=3)
answer is 282
Thank You