Problems of the Week

2017-04-17 Basic


The diagonal lines join a vertex to the midpoint of the edge.

What fraction of the regular hexagon is shaded?

5 years ago, the ratio of a father's and his son's ages was 3:1.
15 years from now, the ratio will be 2:1.

What is the father's current age?

I have 3 nickels, 2 dimes, 2 quarters, and 2 half-dollars in my pocket.

If I randomly pull out 4 coins simultaneously, what's the probability that exactly 2 nickels are included?

Note: Nickels, dimes, quarters, and half-dollars are all American coins.

If a,b,a, b, and cc are distinct numbers, is it possible that

a+2b<b+2c<c+2a? a + 2b < b + 2c < c + 2a ?

You have an empty notebook with 96 sheets. Each sheet is numbered on both sides, with the page numbers ranging from 1 to 192 (inclusive).

Is it possible to rip out 25 sheets such that the sum of the page numbers on these sheets is exactly 1990?


Problem Loading...

Note Loading...

Set Loading...