2023 AMC 8

Complete problem set with solutions and individual problem pages

Problem 2 Easy

A square piece of paper is folded twice into four equal quarters, as shown below, then cut along the dashed line. When unfolded, the paper will match which of the following figures?

Answer:E

Solution 1

Notice that when we unfold the paper along the vertical fold line, we get the following shape:

It is clear that the answer is .

Solution 2

When you fold the paper in that specific way, it shows the top left square. That means that any cut you make on that folded part will look like that on that top left square. Since it is folded into four parts, the cut will reflect on all of the other 3 parts. Since there is a cut diagonally on the bottom right of that square, that will reflect on the other squares, making the shape of