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Buy an old puzzle from a garage sale or from the dollar store (you can get them cheap there) and find two pieces that you like. Punch a small hole on one side of the puzzle piece and insert a jump ring. Repeat with other puzzle piece. Put each on a chain necklace and give one puzzle piece to your BFF.
You can put protective plastic on the puzzle pieces if you want to help them last longer and you can paint them and add derorations if you want. If you want you can make more than 2 necklaces from a puzzle if you have a group of good friends.
Source: I got this idea from About.com
By TheMDames from Proctor, TX
This is a magnetic photo frame my son made for me years ago at school for Mother's Day. They cut out a frame from a piece of cardboard, glued puzzle pieces to it, spray painted the whole thing, and applied some glitter before it dried. Then they taped a photo to the back and glued on some magnets. I absolutely love this photo and frame!
A ways back, someone asked what she could do with puzzle pieces. I tried to describe these, but until I found them, could not do a good job. So, here they are!
NOTE: Be careful! Never touch the hot glue with your fingertips. 2nd degree burns can and do occur!
Special Effects: Glitter glue little dots, hearts, or stars on the front.
By Sandra from Salem, OR
Jigsaw puzzles are a lot of fun, but in a house with children, they are not likely to last very long. Before you know it, several pieces are lost. Don't throw away that old puzzle - use it to create a wonderful frame!
Do this for Valentine's Day using pink, red, and purple. You can also create a Christmas theme using green and red. Or make one like the photo to make a "bubble" frame using clear stones and white puzzle pieces.
By Teri Clark
There were two toys that kept being ignored for the last year or so, and I finally put them together.
One was a jigsaw puzzle, a very small one, about the size of your hand, and the other toy was an old ring from childhood, that had lost it shine but that I still liked.
I taped the back of the puzzle with duct tape and then put the ring up at the top, and put a long line of duct tape through the ring part, up and down and then taped that piece with an other piece of duct tape going the opposite way. I like how it turned out.
By Robyn 
Approximate Time: 1 hour to 1.5 hours
The pins I submit are best worn where they are not exposed to the elements. N-JOY!
By Sandi from Yorktown, VA
I made these ornaments in 1992, and they still look new except for a bit of wear on the bows. They were so much fun, I gave them to business associates as well as friends.
By Coreen from Rupert, ID
My girls love to do jigsaw puzzles and hate to break them apart after doing them. What to do with all those puzzles? I decided to cover the puzzle with clear contact paper. I can then use it as a beautiful placemat, furniture protector under plants, dog dishes mat, and I'm sure there are other uses I will find later! Very simple to do. After completing puzzle, simply measure the contact paper, adding 1 inch on all sides. Take off paper backing and cover finished puzzle. Carefully bend the 1 inch excess to the back of the puzzle. Then turn the puzzle over, cut a piece to fit and attach contact paper. Washable and beautiful. Hint: I found out with my dog mat that I needed to put an extra 2 inch strip around the edges to provide a better seal for waterproofing!
By Cynthia Reichrath from Ava, IL
Strapped for cash, but wanting to hang pictures on your walls? Buy attractive puzzles at your local dollar store or thrift store. Put together & decoupage them. Attach a wall hanger or place in a picture frame. Also, look for pretty pictures in magazines & books, frame them as well.
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Here are questions related to Crafts Using Jigsaw Puzzles.
How do I turn a jigsaw puzzle into a placemat that water rings will not harm?
I was going to suggest clear contact paper too but I think it would be difficult to place the puzzle together on it because of the stickiness and how would you know how to place it on the sticky paper 'just so' while building?
I suggest using the paper after the puzzle is together. Slide back just one edge of the paper protecting the tacky side and slowly 'press and smooth' sticky side onto one edge of the puzzle then slowly peel back more of the protective paper and continue pressing and smoothing until the top part of the puzzle is covered. Carefully turn puzzle over and do the same on the back side.
Do indeed leave at least a one or two inch overlap of contact paper on all edges so that once front and back sides are covered you can press well right along the edge of the puzzle (the smooth side of a butter knife blade works well to do this just do it gently) and then you can cut the overlap edges off.