You might not know all of the techniques needed to solve all of the puzzles in this challenging collection - but that’s why you’re here, right?

If you don’t know how to approach a given puzzle, **spend a minute using your intuition** to make an informed guess. Then be sure to check out the solution to see the technique used to solve it mathematically!

At first, you paint your \(1 \text{ in }\times 1\text{ in } \times 1\text{ in}\) cube blue on all sides. You then cut it into smaller cubes and paint all 8 completely pink.

What is the **difference** between the amount of blue paint you use and the amount of pink paint, in square inches?

**What is the length of the red perimeter of this figure?**

Two overlapping circles, with centers \(A\) and \(B,\) form the figure above. Line segment \(\overline{AB}\) is a radius of both circles.

**Hints**:

1) The circumference of a circle of radius \(1\) is \(2\pi.\)

2) Slice it up like two overlapping pizzas!

**True or False?**

Connecting the midpoints of the four sides of any quadrilateral makes a parallelogram.

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