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1991 AMC 8 Question 16

AMC8 · 1991 AMC 8

Question 16

The $16$ squares on a piece of paper are numbered as shown in the diagram. While lying on a table, the paper is folded in half four times in the following sequence:

$(1)$ fold the top half over the bottom half;

$(2)$ fold the bottom half over the top half;

$(3)$ fold the right half over the left half;

$(4)$ fold the left half over the right half.

Which numbered square is on top after step $4?$

$$
\begin{array}{|c|c|c|c|} \hline 1 & 2 & 3 & 4 \\ \hline 5 & 6 & 7 & 8 \\ \hline 9 & 10 & 11 & 12 \\ \hline 13 & 14 & 15 & 16 \\ \hline \end{array}
$$
  1. $1$
  2. $9$
  3. $10$
  4. $14$
  5. $16$