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IMSO 2006 Mathematics - International Exploration Question 4

IMSO Maths · IMSO 2006 Mathematics - International Exploration

Question 4

The figures below contain 5 squares in a $2\times2$ grid and 14 squares in a $3\times3$ grid.

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For parts (a)–(c), you may do your working in the worksheets provided.

(a) How many squares are in the $8\times8$ grid?

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(b) How many squares are in the two $8\times8$ grids with 3 coinciding units, as shown below?

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(c) How many squares are in the two $8\times8$ grids with 6 coinciding units, as shown below?

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