# Answers to Our 6th Anniversary Instagram Brain Teasers!

Last week, we celebrated six years of PuzzleNation Blog by announcing a week-long puzzly social media blitz.

Facebook and Twitter saw twice-daily alerts for the puzzle of the day for both Daily POP Crosswords and Penny Dell Crosswords App, cuing solvers to contact us with the answers to particular across and down clues.

Instagram solvers were encouraged to tackle a series of brain teasers, and today, we’ve got all the answers for you! Let’s jump right in.

We started off on Tuesday with this relatively straightforward brain teaser: How can you add eight 4s together so that the total adds up to 500?

We got the most responses to this one, and it’s no surprise, as we have some very crafty followers on Instagram. The trick here is number placement. By grouping 4s, you create larger numbers that make it easier to add to your total.

Solution: 444 + 44 + 4 + 4 + 4 = 500

Wednesday’s puzzle involved placing the numbers 1 through 8 into the grid above. Consecutive numbers cannot appear in an adjacent or diagonal box.

This puzzle was actually created and submitted by a PuzzleNationer named Sanjana, so kudos to you, Sanjana, as you made one heck of a brain teaser!

Here’s the solution. (Using the same numbers in reverse or flipped layout creates four different variations on the same solution.)

Thursday’s brain teaser put your Scrabble and Upwords skills to the test, as we played a round of Quad-Doku! The goal is to play each tile, one at a time, onto the board, forming a new common word (or words) each time. Do this with all 8 tiles in any order. By the end, all four corners will have changed.

This is a nice chain-solving puzzle, and here’s the solution we came up with:

F makes FOUR/FIND, S makes FINS/SEEM, A makes SEAM, B makes FIBS, C makes SCAM, W makes SWAM, L makes FOUL/LOOM, and P makes LOOP/SWAP.

On Friday, we posted a riddle to test your puzzly skills. Once I am 24, twice I am 20, three times I am unclean. What am I?

Solution: The answer is X. It’s the 24th letter of the alphabet, two X’s makes 20 in Roman numerals, and three X’s marks something as inappropriate for some viewers.

Monday brought us our final brain teaser, a matchstick puzzle (or, in this case, a toothpick puzzle). Can you move four toothpicks in order to change the zigzag path into 2 squares? The two squares do not have to be equal in size.

In the image above, we’ve circled the four toothpicks to move.

And here is the completed puzzle, with two squares of unequal size.

How did you do, intrepid solvers? Well, based on the responses we received, pretty darn well! We’ll be reaching out to contest winners later this week!

But in the meantime, we’d like to thank everyone who participated in our PN Blog 6th Anniversary event. You help make this the best puzzle community on the planet, and we are forever grateful.

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# A puzzle in your pocket

Brain teasers come in all shapes and sizes, but there’s one particular brand of brain teaser that fits in your pocket. Today we’re talking about matchstick puzzles (or toothpick puzzles).

Matches as we know them (relying on friction to ignite, rather than dipping or crushing) were invented in 1826 by English chemist John Walker, and in the decades that followed, numerous improvements were made, especially in terms of safety and ease of use. Matchsticks soon grew ubiquitous and match companies started putting little puzzles on their boxes.

And the matchstick puzzle was born.

(I have no historical documentation to back me up on this, but I suspect that bar bets also played a role in the rise of matchstick puzzles, because the sort of cleverness and trickery that goes into solving some of these puzzles would be perfectly at home in the repertoire of someone looking to con a few free drinks out of fellow tipplers.)

So, for the uninitiated, what are matchstick puzzles?

These are rearrangement or transformation puzzles, where you’re given a certain shape (laid out in matchsticks, toothpicks, straws, pencils, or anything else of equal length), and you have to move the items into another shape or configuration. Sometimes, it’s simply about placing the matchsticks economically, but other times, you have to get crafty and think outside the box to complete your task.

For instance, here’s the first matchstick puzzle I ever remember seeing:

[This image, and the one below, courtesy of Matchstick Puzzles on Blogspot.]

You have two triangles formed from six matchsticks. Move one matchstick to make four triangles.

Now, you could easily use all of these matchsticks to make four triangles, but that would involve moving more than one of them. So clearly there’s something else at work here if you only need to move one to solve the puzzle.

That something, in this case, is a little visual trickery.

As you can see, you turn one triangle into a numeral four, making the matchsticks literally read out “4 triangle.” Sneaky sneaky.

There are literally hundreds of these puzzles if you go hunting for them. (I found a treasure trove of them here.)

A curious variation, though, applies the same rules to mathematical formulas laid out in matchstick form.

Here’s one that’s been making the rounds on Facebook recently:

Now, the big difference between these mathematical ones and the shape ones mentioned above, as far as I’ve found, is that the math ones are far more alternate prone.

For instance, this equation puzzle has at least four solutions that I’ve found:

• You can move one match to make the 6 a 0, so that 0+4=4.
• You can move one match from the 6 to the second 4 to make the 6 a 5 and the 4 a 9, so that 5+4=9.
• You can move one match from the plus sign to the 6 to make the plus sign a minus sign and the 6 an 8, so that 8-4=4.
• You can move one match from the plus sign to the equal sign to make the plus sign a minus sign and the equal sign a doesn’t-equal sign, so that 6-4 does not equal 4.

As you can see, with matchstick puzzles,  the possibilities are endless and the building blocks — whether matches, toothpicks, Q-Tips, or straws — are easily accessible.

I’ll leave you one more to ponder, this time provided by the folks at IO9:

Using six matchsticks of equal length, create four identical, equilateral triangles. There’s no need for snapping, burning, or otherwise altering the matchsticks.

Good luck!

Thanks for visiting PuzzleNation Blog today! Be sure to sign up for our newsletter to stay up-to-date on everything PuzzleNation!

You can also share your pictures with us on Instagram, friend us on Facebook, check us out on TwitterPinterest, and Tumblr, and explore the always-expanding library of PuzzleNation apps and games on our website!