Product Review: ThinkFun’s Math Dice

[Note: I received a free copy of this game in exchange for a fair, unbiased review.]

If you’re not currently in school, you probably haven’t thought about Order of Operations in a while. Maybe six little letters will bring it all back to you: PEMDAS. Parentheses, Exponents, Multiplication, Division, Addition, Subtraction. (I learned to remember it as “Please excuse my dear Aunt Sally.)

This was a handy mnemonic device to explain how to break down complex equations into simpler ones. But it’s also the basis for ThinkFun’s latest puzzly game: Math Dice.

Math Dice challenges players to put their mathematical skills to the test, using randomly rolled dice and their own numerical ingenuity to get the closest to a given number.

But before we get started with the actual gameplay, I want to take a moment to appreciate how the instruction manual eases new players (and players with less confidence in their math skills) into the game.

After explaining the rules, and offering several techniques to make the game easier or harder, depending on player comfort levels, the manual offers numerous examples to make new players more familiar with all the options available to them.

It’s a terrific way to allay player uncertainty and show them some of the creative ways to mix different operations to make different totals.

Now let’s take a look at the gameplay:

For example, the two 12-sided dice rolled a 12 and a 1. When multiplied, you get your target number of 12. Now the players must try to either match 12 or get closer to 12 than any other player, using the 2, 3, and 6 rolled on the 6-sided dice.

Simple addition will get you to 11.
(3 x 2) + 6 will get you to 12.
(6 – 2) x 3 will also get you to 12.
Can you find any other ways to make 12 from those dice?

This one is a little tougher. The two 12-sided dice rolled an 11 and a 3, giving us a target number of 33. We also have less flexibility with the 6-sided dice, since we have a 2 and two 5s.

(5 x 5) + 2 will get you to 27. Pretty good!
5^2 + 5 will get you to 30.
2^5 + 5 will get you to 37.

In this case, player who got 30 wins a point!

As someone who is always idly playing with words and numbers during mental downtime or between tasks, this game really appeals to the playful side of my puzzly brain. The challenge of making two sets of numbers balance is both challenging and soothing in the best way, like the purely mental equivalent of a fidget toy or other tool to keep your hands and mind engaged.

But this is also a clever launchpad to introduce younger puzzlers to the idea that numbers aren’t just classwork or homework, they’re something to play with. They’re puzzle pieces to rearrange and put together in all sorts of ways to create new results.

ThinkFun excels at turning learning experiences into engaging puzzles and games. Over the years, they’ve done so with logic problems, optics, programming, gravity, deduction, mechanical puzzles, and more, so it’s no surprise they’ve managed to do the same quite deftly with the basics of mathematics.

[Math Dice is for 2 or more players, ages 8 to Adult, and it’s available from ThinkFun and participating websites starting at only $6.99!]

It’s Follow-Up Friday: Math Puzzle Madness edition!

Welcome to Follow-Up Friday!

By this time, you know the drill. Follow-Up Friday is a chance for us to revisit the subjects of previous posts and bring the PuzzleNation audience up to speed on all things puzzly.

And today, I’d like to revisit the world of viral puzzles and discuss two that have been making the rounds on Facebook recently.

If you’ve been on social media recently, you’ve no doubt seen one or both of these puzzles:

math

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Each was probably accompanied by some hyperbolic phrasing like “95% of people and most dogs can’t solve this puzzle! Heck, they can’t even agree on an answer! CAN YOU?!?!?!?!”

Well, duh. Of course they can’t agree on an answer. There’s plenty of room to make different assumptions.

Let’s look at the first puzzle again.

math

Now, if you take the puzzle at face value, the chain would appear to be this:

1 + 4 = 5

2 + 5 (+5) = 12 (We’ve added the previous answer, which is where the +5 comes from.

3 + 6 (+12) = 21

8 + 11 (+21) = 40

So the answer is 40.

But wait. if you assume that the pattern continues for the digits between 3 and 8, you end up with this:

1 + 4 = 5

2 + 5 (+5) = 12

3 + 6 (+12) = 21

4 + 7 (+21) = 32

5 + 8 (+32) = 45

6 + 9 (+45) = 60

7 + 10 (+60) = 77

8 + 11 (+77) = 96

And, in truth, it could be either. You’re not given enough information to know for sure how to proceed. It’s a coin toss whether the last line immediately follows the third line, or whether there’s a whole bunch of lines in between and you need to “get the pattern” to extrapolate the 8th line.

Now let’s look at that second puzzle again.

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This one also has the potential for alternate answers, but instead of inferences, it depends on whether you follow the traditional order of operations (parentheses, exponents, multiplication/division, addition/subtraction) or you simply read left to right.

If you use traditional order of operations, you end up with:

Horse + Horse + Horse = 30, so Horse = 10.

Horse + Horseshoes + Horseshoes = 18, so Horseshoes = 4 and Horseshoe = 2.

Horseshoes – Boots = 2, so Boots = 2 and Boot = 1.

Boot + Horse x Horseshoe = Boot + (Horse x Horseshoe) = 1 + (10 x 2) = 21.

But if you simply read the last equation from left to right, you end up with:

Boot + Horse x Horseshoe = 1 + 10 x 2 = 11 x 2 = 22.

So, in fairness, there is no right answer to either puzzle, given the information we have.

Which, to me, doesn’t seem like a great puzzle, but it probably makes for great clickbait.


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