Math Central - mathcentral.uregina.ca
Quandaries & Queries
Q & Q
. .
topic card  



list of
. .
start over

3 items are filed under this topic.
Women, cats and kittens 2008-02-12
From Paige:
There are 7 women on a bus. Each has a backpack. In each backpack there are seven cats. Each cat has seven kittens. How many legs are there total on the bus?
Answered by Penny Nom.
A math riddle 2007-11-27
From Kathleen:
My 4th grade daughter was given a math riddle which she is expected to answer using a problem solving strategy. The question is:

The number of my hundreds and the number of my thousands is 3. The number of my tens is 7 times the number of my thousands. All my digits are different. What am I?

I have tried to come up with an answer, but am beginning to think it is less complicated than what I have come up with.

Answered by Stephen La Rocque.
From Dulce:

There are 1000 dwarves in Dwarfland. Now as you know, dwarves are born with either red or white hats on.

The dwarves in Dwarfland love to party. Every night, they all flock to the same club to dance the night away.

One day, a sign is posted at the club: "NO RED-HATTED DWARVES ALLOWED". A certain number of days pass, after which all of the white-hatted dwarves are in attendance,and none of the reds.

How did the red hats know not to come?


  1. The number of red and white-hatted dwarves need not be equal. There are at least 1 of each color.

  2. There are no reflections or mirrors in Dwarfland (i.e. the dwarves can't see the color of their own hat), and no dwarf can reveal through direct or indirect means the color of another dwarf's hat.

  3. There is NO COMMUNICATION among dwarves

  4. No white-hatted dwarf ever misses a night of partying

Answered by Claude Tardif.



Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.



Home Resource Room Home Resource Room Quandaries and Queries Mathematics with a Human Face About Math Central Problem of the Month Math Beyond School Outreach Activities Teacher's Bulletin Board Canadian Mathematical Society University of Regina PIMS