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IMC SpatialReasoning

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IMC Spatial Reasoning

1. All the positive integers are written in the cells of a square grid. Starting
from 1, the numbers spiral anticlockwise. The first part of the spiral is
shown in the diagram.
What number will be immediately below 2012?

A 1837 B 2011 C 2013 D 2195


E 2210

2. The diagram shows an L-shape divided into 1 × 1 squares. Gwyn cuts the shape
along some of the lines shown to make two pieces, neither of which is a square.
She then uses the pieces to form a 2 × 6 rectangle.
What is the different between the areas of the two pieces?

A 0 B 1 C 2 D 3 E 4

3. [IMC 2004 Q16] If the pattern shown is continued, what number


will appear directly below 400?

A 438 B 439 C 440 D 441 E 442

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Answers:
1. D
2. C
3. C

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