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BEBRAS 2023 Grade 7-8 Round 2 Ext Question 2

BEBRAS · BEBRAS 2023 Grade 7-8 Round 2 Ext

Question 2

To draw on a square grid, start at the gray square and move in one of eight directions numbered as shown: 0 east, 1 northeast, 2 north, 3 northwest, 4 west, 5 southwest, 6 south, 7 southeast.

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The example shows the start, the sequence 1,0,0,7,7,5,5,4,3,3,2 and the resulting shaded squares.

Question illustration

Beaver wants to draw the following shape from its starred square.

Question illustration

Which movement sequences draw it? Select all valid options.
  1. 1,1,1,0,7,7,7,6,5,5,5,4,3,3,3,2
  2. 1,1,0,0,7,7,6,6,5,5,4,4,3,3,2,2
  3. 6,7,7,7,0,1,1,1,2,3,3,3,4,5,5,5
  4. 0,1,1,0,7,7,7,6,5,5,5,4,3,3,3,0