Saturday, March 28, 2015

414: Special Right Triangles




Friday, March 27, 2015

413: Red and Blue Rubik


Suppose that a white Rubik's Cube is painted blue on top and bottom and painted red on the four lateral sides. The cube is then separated into its 27 smaller cubes. 

How many unit cubes have at least one red face and one blue face?

Thursday, March 26, 2015

412: House Numbers

The houses on River Road are numbered consecutively from 10 to 132. Each house number is made with brass digits.

#105 would take 3 digits, for example.


1. How many brass digits are needed to form all the house numbers?

2. The numbers can be purchased for 2.29 each or $20.95 per dozen (of the same digit). What is the cheapest combination of numbers that you can arrange?

Tuesday, March 24, 2015

410: Buying a cheap sweater to make a political point.


"The Wisconsin Republican's remarks, which received a standing ovation, started with the Badger State governor touting his middle class credentials. Before the speech, he had stopped by Kohl's Department Store and used Kohl's coupons to buy his sweater from the 70 percent off rack for one dollar.

Walker said he considered's Kohl's successful low-price strategy a model for reforming the tax code so that more people pay taxes, but the tax rate is much lower."

What the easiest way to find out the original cost of that sweater?

source.

From another site: "If you’ve ever shopped at Kohl’s, you know that it’s the store that generally always has a sale. Take a clearance item, apply a 15 percent off coupon with some Kohl’s Cash, and on the surface, Walker’s claim isn’t totally outrageous."

Monday, March 23, 2015

409: Pizza


That's an 18" diameter pizza plate.
It's the same area as that slice.
What's the girl's name?

Oh, you think you have a better question? Well, do you?