Problem 10 · 2019 Math Kangaroo
Medium
Spatial & Visual Reasoning
spatial-reasoningsequence-of-figures
Dennis takes off one of the squares of this shape. How many of these 5 shapes can he get?
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Answer: C
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Hint 1 of 2
The starting shape is a 2-by-2 block with one extra square attached, so taking one away leaves a four-square figure.
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Hint 2 of 2
Remove each of the five squares in turn and see which of the target four-square shapes you can land on (rotations allowed).
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Approach: remove one square and match
- The given shape is a 2×2 block plus one extra square; removing a square leaves a four-square shape.
- Removing the extra square gives the 2×2 square.
- Removing one corner of the block gives an L-shape or an S/Z-shape.
- These match three of the targets, but the T-shape and the straight row of four cannot be made.
- So 3 (C) of the shapes are possible.
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