Determine the area of the shaded region. (2 Points)

## Sunday, October 18, 2009

## Monday, March 30, 2009

### 56. Area of Crescent

Diagonal of the inscribed square is 4 units long. Find area of :

How does the area of the four crescents compare with the area of the square? (1 point)

- Inscribed square
- Circumscribed circle
- Area of a half-circle on the side of square
- Area of the arc (of circumscribed circle) on the side of the square
- Area of the each crescent
- Area of the four crescents

How does the area of the four crescents compare with the area of the square? (1 point)

## Sunday, September 7, 2008

### 55. Calendar Math

Elizabeth and I just figured out how to tell the day of the week given the year month and day. So far we only do dates from 2000 - 2012. Earn four points if you can determine the day of the week ten times in a row without a mistake. (4 Points)

## Tuesday, July 15, 2008

### 54. A simpler web.

Problem 53. is tough. You might be able to wrap you head around this one, then, once you see the principle, give 53. another try. A spider and a fly are on two corners of a triangular web. The spider moves to an adjacent corner randomly once a second. The fly stays put. On average how many seconds does it take for the spider to reach the fly? (2 Points)

## Saturday, July 12, 2008

### 53. The Bucky Spider

An fly and a blind spider are on opposite corners of a buckyball (Carbon 60, a soccer ball shape). The fly is stationary and the spider moves at random from one corner to another along the edges only, once a second. On average, how many seconds does it take the spider to reach the fly? (5 Points)

Replace "buckyball" with "cube" and the problem is worth (3 points) .

Replace "cube" with "dodecahedra" and the problem is worth (4 points).

## Saturday, July 5, 2008

### Problem 52. Golden Pentagon

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