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DrawingDrawing Created by Inna Shapiro ©2008

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Problem 1 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

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Hint You can start at point A. A

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Problem 2 The road map in a magic garden is shown on the picture. Can Dorothy walk around all roads without walking twice on any path?

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Hint Dorothy can start at point A. A

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Problem 3 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

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Hint You can start at point A. A

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Problem 4 The roads in Mathtown look like a star in a circle. Can a driver drive through all roads passing each road exactly once?

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Answer The driver can start at point A, drive around the circle, and then drive along the star lines. A

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Problem 5 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

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Hint You can start at point A. A

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Problem 6 There are nine dots on the picture. Can you draw four segments on it without lifting your pencil, so that those segments pass through all nine dots?

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Answer The four segments are shown on the picture. Start at point A and proceed to points B, C, and D. A B C D

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Problem 7 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

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Hint You can start at point A. A

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Problem 8 There are four circular bike paths in a park. Can a biker ride through all paths passing each path exactly once?

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Hint The biker can start at point A. A

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Answer The biker can start at point A and ride to points B, C, D, E, F, C, G, H, K, E, I, A, J, E, L, H, M, A, N, H, O, C, P, A in that order. A B C D E F G H I JK L M NO P

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Problem 9 Can you draw this figure without lifting your pencil? You have to draw each line exactly once.

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Hint You can start at point A. A

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Answer You can start at point A, draw the left square, move to points B, C, draw the right square, move to points D, E, F, A. A B C D E F Note that we crossed our own path, for example, while drawing ED.

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Problem 10 Can you draw this figure without lifting your pencil? You have to draw each line exactly once. You are not allowed to cross your own path.

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Hint Paint the figure as shown on the picture.

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Answer Start from point A and follow the boundary of the violet figure. A

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