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Eric The Sheep Heath, Rainer, Nathan and Tom

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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

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FOR EVERY 1 SHEEP SHORN, ERIC WILL JUMP 2 SHEEP

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No. of sheep in front of Eric No. of sheep shorn before Eric No. of sheep in front of Eric No. of sheep shorn before Eric

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Formula for 1 sheerer X (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

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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.

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No. in front of Eric No. sheep shorn before Eric

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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.

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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

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FOR EVERY 3 SHEEP SHORN, ERIC WILL JUMP 2 SHEEP

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No. of sheep in front of Eric No. of sheep shorn before Eric No. of sheep in front of Eric No. of sheep shorn before Eric

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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

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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 ( =3) answer is 282

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Thank You

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