### A Review: Mathematical Curiosities

Hello, everybody! Today I’m going to review this packet of mathematical tricks. Now, I bought this about a year ago in a shop called Hawkin’s Bazaar.. It’s one of my favorite shops. Now that’s probably advertising, but screw it! No one watches these things, anyway. It is one of my favorite shops. It’s full of things that flash and make a noise– and I don’t just mean a bloke in a dirty mac with a harmonica in his gob. So, it’s a great shop. Now, it cost me about £4. It’s made by a company called Tobar. Now let’s have a look at the packaging here. It’s called Mathematical Curiosities, or Curiosités Mathémathiques, or Mathmatical Wißbegierde, there. It’s got a few mathematical symbols dotted about. There’s a cross there, an equals sign, pi there– full marks for knowing that capital Sigma [Σ] is a mathematical symbol, but they could have just been going through WingDings, so we should be grateful that we don’t have a smiley face on the front. At the bottom here, it says “Have Fun With Numbers,” which is a really naff thing to say. I mean, I like maths, and I do have fun with numbers. But it’s not a sentence to use. What else do we have here? Well, it also says “Demonstrating Amazing Mathematical Anomalies,” which makes it sound like I’m going to unleash a black hole, or something, Which is further compounded by the fact that they call these tricks “Devices.” So it does sound like the Large Hadron Collider inside. Let’s take a look. OK, inside there aren’t any black holes. We have some instructions here, which are fairly clear, which is pretty good. In mine you’ll find a piece of paper with a number of proofs on it. But your copy probably won’t have that. And what else have we got? OK, let’s have a look at the first trick. So we’ve got four tricks in here. And the first one is called the “Think of a Number” card. OK, what you do is you get your volunteer to think of a number between one and sixty-four. And then they have to go through these cards, and pick which cards their number appears on. You put all their cards in a pile. You put all the cards on which the number does not appear on upside-down on another pile. And then you put them all together, you lie them on the key, and through the little window you’ll find the number your volunteer picked. Now, I really like this trick! Because this is just another way of doing Venn diagrams. You may have heard of Venn diagrams before. So Venn diagrams look like this. So, for example, if A here are “Things that are green,” so that might be grass, the Incredible Hulk, Al Gore–something like that. And if B here are things that I hate, which might be traffic, S Club 7, your face. Then in the middle here are going to be things that are common to both. So that might be something like sprouts, or something like that. Now, if I want to do a Venn diagram with three sets, it looks like this. And as you can see here, you can split up the diagram into eight regions. Now, you can uniquely define each region by which set it’s in, and which sets it’s not in. For example here, region two is in set A and set B, but it’s not in set C. Region five there is in all three sets, but on the other hand, region eight out here is in none of the sets. Now, if I could draw a Venn diagram with six sets, it would have sixty-four regions. And that’s exactly what we’re doing with these cards. So we’re just uniquely defining each number by which set it’s in, and which set it’s not in. So that’s pretty good. I like that. Now, the second trick in this pack is called Magic Number Cards. Now, for this one, what you do is you get your volunteer to think of a number under sixty. And they have to pick out the cards on which their number appears. And then you can tell them instantly what their number was, because what you do is you add up the numbers in the top left corner on the cards which they pick. And this works by using the powers of two. You see, in the top left corner all we have here are the powers of two. That’s one, two, four, eight, sixteen, thirty-two and sixty-four. And all numbers can be written as a sum of powers of two. This is called ‘binary,’ and it’s the same language that computers use. This is one you get a lot in Christmas crackers. For people in other countries who don’t know what crackers are, they’re brightly decorated cardboard tubes, and inside they have a toy, a paper hat, and a joke, usually of the quality of “What lies at the bottom of the sea and quivers?” “A nervous wreck.” They’re a bit like Kinder eggs, which are a toy, a surprise, and some chocolate. Some people complain about Kinder eggs because the toy is the surprise. So what I reckon they should do is have the toy, and the chocolate, and then they should put in a little note inside that says, “You’re adopted!” But maybe that’s just me. Anyway, you can make these yourself. All you need are six cards, and what you do is you put the powers of two in the top left corner. And then you start to fill the cards with the other numbers. So six would be written on cards two and four. And twenty-eight would be written on cards four, eight and sixteen. If you really want to impress, and do this as a magic trick, what you can do is you can make the cards different colors, and then remember which color goes with which number. And then you can predict your volunteer’s number without even looking at the cards. The third trick is called The Magic Calculator, which are these sticks here, and what you do is you put them together, and you can make four four-digit numbers, which you instantly add up. And I really like these tricks where you can instantly add up complicated numbers. This one works by using the third line. And what you do is you take away two from the third line, and you stick a two in front, and that gives you the grand total. So that’s quite easy to use. And if you’re interested in how it works, there’s the algebra for it. Total=1000(18+a)+100(18+b)+10(18+c)+(18+d)

=20,000+(1000a+100b+10c+d-2) But never mind that. And finally, we have these Addition Dice. And what you do–we have five dice here, and each face has a three-digit number on it. You roll the dice, and again, you can instantly add up the total. This one works by adding up the last digits on each dice. So, again, that’s another nice one. And if you’re–again, if you’re interested, there’s the algebra for that one. Total=100(8-a)+40+a

+ 100(13-b)+50+b

+100(9-c)+60+c

+100(10-d)+70+d

+100(7-e)+80+e

=100(50-(a+b+c+d+e))+(a+b+c+d+e) And that’s it! Pretty nerdy, but fun maths tricks, and I think I did have fun with numbers today. So, as usual, if you have been, thanks for watching.

First everything— 5/5

Awesome Tricks for sure.

a very smarg guy 🙂 !

WOO HAWKINS BAZAAR!

I go there to buy christmas presents 8)

<3 Singing Banana

JIMJAMYAHA!

God i love your wit haha!

Great video as always 🙂

i want one 🙁

really liked this video, really funny stuff !

very well delivered video.. funny, entertaining and knowledgable.

'you're adopted' inside a kinder surprise egg hahaha

A note with "You are adopted" That is just to funny!

"I like that" *and throws it away* lol

Thats so cool! I love math. i had to pause to look at the algebra nice job!

I want one!

Marks for the summation symbol!

Man, this teaches set theory and binary in addition to the cliche instant add tricks.

Good call on the suprise. Kinder should hire you.

Your humour is so good, made me laugh my arse off!!

its hilarious becuz u dont expect it to. i was laughin thru the entire video

Thank you for watching.

My parents know where to shop for me.

I hate people who brag about their IQ, so I'll never tell.

Tobar are the people. I'm sure there are other packs like this. Can anyone recommend something similar for me to review?

I wish I was on commission now!

The pack itself doesn't teach much, but this video explains it all.

Surprise! Anthrax.

devices:P

i like hawkings bazar

How about the rubiks cube, I know it's not exactly mathmatical but it does follow a set of algorithms which I'm sure could be determined using some mathmatical equation to work out which sequance of moves should be used? I'd help you out, but your the mathematician:)

Great video by the way!

Peace

Thanks for the reminder. That was one of my video ideas. Loads of maths in it, and I have a couple lying around.

holy crap, you read my mind, i was thinking of the phrase "you're adopted" when you said it, i lol'd for like a minute

Haha! Great minds…

Who says? You?

wow i thought it contained the LargeHadronCollider

i read that its the worlds biggest machine, is that correct?

Yes that's what I heard.

Ive read it in Dan Brown's "Angels and Demons"

youre adopted lol!!!

Traffic, S Clubs 7, Your Face! Lol!

i like that one

lol your adopted funniest thing ever

sigma = summation

I hate myself for it, but I like the wreck joke.

Your face! God damn it!

what do u mean nobody watches this? You have so many dedicated fans *tears going down my face*

The singular of "dice" is "die".

Sorry, a pet-peeve of mine ^^

yay i am a noone cause i watch this

terrible german translation on the front of the package… wibbegierde 😀 think they ment wissbegier, which means curiosity…

Just more proof that we should be best buds. Hawkins Bazaar is the only shop I enjoy going in, but it is only open near christmas 🙁

You, sir, have a good sense of humour.

your face lol

Hey, what's wrong with S Club 7?:(

I don't mind the S Club beat, but I refuse to reach for the stars.

this is SO FUNNY HAHAHHA!!

"…it's full of things that flash and make a noise, and I don't just mean a bloke in a dirty mack with a harmonica on his gob…"

LOOOL this had me crying :')

I'm watching this so are you me calling nobody?

Still cracking up about "You're adopted!"

You don't get enough views on your channel, not even close.

Things i hate: your face… Lol!

James, will you marry me?

May I can ask you what exactly your job is? I love maths and I really would like to study it at university but there isn't much I can imagine to work at when having studied maths (apart from programming, teaching and working in a bank).

So maybe you can give me an inspiration..

Thanks in advance, I love your videos and apologize for my lacking english 🙂

So if you have been – thanks for reading!

Things that flash, I don't mean a guy in a dirty mac hahahahah

When he says "Stuff I don't like, your face" it's like the queen saying "Yo momma so fat, she became a new planet"

si seulement tu parlais français parce que je n'est rien compris

you should do a calculator unboxing

NERD but very cute 🙂

Trollingbanana ! 😀

wow your Brutality was through the roof on this one man!!!

Now I can win at Numberwang!

Enjoying this in 2017 👍

Lol, the way you stress "your face" 😀

Orphans are funny.

Kinderegg saying « you are adopted « 😂 🤣 😂

you're a savage!

I love how they are called

curiositiesthings that I hate, *your face*I never knew that maths people could have such a sense of humor

Your face

You’re adopted