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# Category Archives: Puzzles

## World’s HARDEST Easy Geometry problem example question

The following triangle, , shows angle measures in the base angles A and C, as well as line segments , and . Find the measure of angle AED, that is, .

Note: Do not use Trigonometry or Calculus to solve this problem Solution to this World’s Hardest Easy Geometry practice problem is provided in the video below!

## Albert Einstein’s Fish word puzzle

The Englishman lives in the red house.

The Swede keeps dogs.

The Dane drinks tea.

The green house is just to the left of the white one.

The owner of the green house drinks coffee.

The Pall Mall smoker keeps birds.

The owner of the yellow house smokes Dunhills.

The man in the center house drinks milk.

The Norwegian lives in the first house.

The Blend smoker has a neighbor who keeps cats.

The man who smokes Blue Masters drinks bier.

The man who keeps horses lives next to the Dunhill smoker.

The German smokes Prince.

The Norwegian lives next to the blue house.

The Blend smoker has a neighbor who drinks water.

The question to be answered is: Who keeps fish?

Solution to this Puzzle practice problem is provided in the video below!

## Shaded Area in a Square puzzle example question

In a unit square ABCD, point A is joined to the midpoint of BC, point B is joined to the midpoint of CD, point C is joined to the midpoint of DA, and point D is joined to the midpoint of AB. Find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Square puzzle example problem

In a unit square ABCD, M is a midpoint of AD, and AC is a diagonal. Find the area of the shaded regions. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Square puzzle example

In the unit square ABCD, M is the midpoint and AC and BD are diagonals. Find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Square puzzle example question

In the following unit square ABCD, M is the midpoint and BD is a diagonal. Find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Square puzzle TRIGONOMETRY example problem

A square with side 1 is rotated around one vertex by an angle , where and .

Find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Rectangle puzzle example

In the following rectangle, an isosceles triangle is drawn. Find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Shaded Area in a Rectangle puzzle example question

In the following rectangle below, find the area of the shaded region. Solution to this Puzzle practice problem is given in the video below!

## Water Jug puzzle question

You have 2 water jugs. One jug can be completely filled with 3 gallons of water, and the other jug can be completely filled with 5 gallons of water. You need 4 gallons of water. How would you proceed?

Solution to this Puzzle practice problem is given in the video below!

## Eight Balls Placed on a Balancing Weight Scale puzzle example question

You have 8 balls all of the same size. 7 of them weigh the same, and one of them weighs slightly more. How can you find the ball that is heavier by using a balance and only two weighings?

Solution to this Puzzle practice problem is given in the video below!