# Math Puzzle . ca - math and logic puzzles

#### Looking for brainteaser puzzles, mensa mind challenges, math puzzles and logic problems?

Welcome to MathPuzzle.ca the home of logic and math puzzles. Choose from hundreds of logic math puzzles
and brainteasers.
Start by
browsing the categories, they are divided into different logic type puzzles.
If you are unsure where to go, click on the random logic puzzle from the top menu.

## THE SQUARES OF BROCADE.

(

Patchwork Puzzles)

I happened to be paying a call at the house of a lady, when I took up

from a table two lovely squares of brocade. They were beautiful

specimens of Eastern workmanship--both of the same design, a delicate

chequered pattern.

"Are they not exquisite?" said my friend. "They were brought to me by a

cousin who has just returned from India. Now, I want you to give me a

little assistance. You see, I have decided to join them together so as

to make one large square cushion-cover. How should I do this so as to

mutilate the material as little as possible? Of course I propose to make

my cuts only along the lines that divide the little chequers."

I cut the two squares in the manner desired into four pieces that would

fit together and form another larger square, taking care that the

pattern should match properly, and when I had finished I noticed that

two of the pieces were of exactly the same area; that is, each of the

two contained the same number of chequers. Can you show how the cuts

were made in accordance with these conditions?

175--ANOTHER PATCHWORK PUZZLE.

A lady was presented, by two of her girl friends, with the pretty pieces

of silk patchwork shown in our illustration. It will be seen that both

pieces are made up of squares all of the same size--one 12 x 12 and the

other 5 x 5. She proposes to join them together and make one square

patchwork quilt, 13 x 13, but, of course, she will not cut any of the

material--merely cut the stitches where necessary and join together

again. What perplexes her is this. A friend assures her that there need

be no more than four pieces in all to join up for the new quilt. Could

you show her how this little needlework puzzle is to be solved in so few

pieces?

Read Answer