Who Needs Maths?

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0:00:02 > 0:00:04Who needs maths? We all need maths!

0:00:04 > 0:00:08Maths is your friend, madam! Who needs maths?

0:00:08 > 0:00:11Who does need maths? Well, you need maths.

0:00:11 > 0:00:15No, no - don't turn around. It's you I'm talking to. You need maths. Why?

0:00:15 > 0:00:17Because maths is in everything that you do, OK?

0:00:17 > 0:00:20It's in your look, in your clothes and your hair.

0:00:20 > 0:00:23It's in the food that you eat. It's in your house where you live.

0:00:23 > 0:00:24It's in your health and your fitness.

0:00:24 > 0:00:26Trust me, I'll prove this to you.

0:00:26 > 0:00:31Maths is all around you - you just weren't looking hard enough. I mean, there's even maths in comedy.

0:00:36 > 0:00:40In a recent poll, right, they discovered that, erm,

0:00:40 > 0:00:4450% of people understand percentages.

0:00:44 > 0:00:47And er, the remaining 83% don't.

0:00:52 > 0:00:55Who needs percentages? You need percentages.

0:00:55 > 0:00:57Percentages are everywhere.

0:00:57 > 0:00:5950% off in the sale.

0:00:59 > 0:01:0250% polyester. 26% fat content.

0:01:04 > 0:01:0613% of the public vote.

0:01:06 > 0:01:1163% of my time watching television and consuming pasties.

0:01:11 > 0:01:14I think I'm 80% sure that I'm a 100% out of shape.

0:01:14 > 0:01:17I'm applying for Celebrity Space Hopper Mathletes,

0:01:17 > 0:01:19which of course, as you know, features 12 celebrities

0:01:19 > 0:01:22pitching their maths skills against each other on a space hopper.

0:01:22 > 0:01:25Could be my chance to meet a regional news presenter.

0:01:25 > 0:01:29The winner gets a 12-month teaching contract and a massive golden space hopper.

0:01:29 > 0:01:31And I want a piece of that.

0:01:31 > 0:01:34Now, it says here on the application form that all competitors will be

0:01:34 > 0:01:38expected to give one 110% effort at all times.

0:01:38 > 0:01:41Is that even possible? Can you give a 110% effort?

0:01:42 > 0:01:45Think I'd better ask someone who knows.

0:01:45 > 0:01:48This is Riccardo, personal trainer to the stars and now me.

0:01:48 > 0:01:50Right, now, erm, maths...

0:01:50 > 0:01:53- Yeah.- In personal fitness, does it feature, is it a thing?

0:01:53 > 0:01:55It's a massive thing in my industry.

0:01:55 > 0:01:59It's one of the things that's most important cos we have to find out lots of different types of

0:01:59 > 0:02:02percentages, for example, the workout intensity a client can go to.

0:02:02 > 0:02:05We work out percentages when it comes to nutrition.

0:02:05 > 0:02:07And also, there's body statistics as well.

0:02:07 > 0:02:08Pick it up! Pick it up!

0:02:08 > 0:02:11So even in the world of health and fitness, maths is key.

0:02:11 > 0:02:12Keep it going, keep it going!

0:02:12 > 0:02:16Riccardo uses it to work out how hard to push his clients.

0:02:16 > 0:02:17This is hardcore maths.

0:02:17 > 0:02:20Because winners train, losers complain.

0:02:20 > 0:02:22Keep it strong! Up!

0:02:22 > 0:02:24- Are you a winner?- Yes!

0:02:24 > 0:02:27Right, let's get some claps. Yes!

0:02:27 > 0:02:30Push it! Lovely!

0:02:30 > 0:02:33That's what I'm looking for.

0:02:33 > 0:02:35OK, Sanjeev, our goal is to try and find out what you can lift,

0:02:35 > 0:02:40once and once only, ie your 100% maximum effort. OK?

0:02:40 > 0:02:43- OK.- And we're going to focus on doing a bench press.

0:02:45 > 0:02:48Riccardo's started me off with just a bar and he reckons lifting this

0:02:48 > 0:02:50is taking about 30% of my effort.

0:02:53 > 0:02:57And as the weights get added on I can feel it getting harder.

0:02:57 > 0:03:00I'm not sure how much more I'm going to be able to lift!

0:03:00 > 0:03:01Three, two, one...and lift.

0:03:03 > 0:03:04HE GROANS

0:03:05 > 0:03:07- There we go.- OK.- I got you.- OK.

0:03:07 > 0:03:09- Whenever you're ready. One time is what we're going for.- Yeah.

0:03:09 > 0:03:11Ready and....drop.

0:03:14 > 0:03:15Good, now push.

0:03:15 > 0:03:16HE GROANS

0:03:16 > 0:03:19Keep going, keep going, keep going, Do you think you could do one more?

0:03:19 > 0:03:21Shall I try?

0:03:21 > 0:03:22- You can try.- OK.

0:03:25 > 0:03:26OK. Push, push.

0:03:26 > 0:03:29Mummy! Daddy! Argh!

0:03:29 > 0:03:32- I've got it.- No, no.

0:03:32 > 0:03:35Well, I did manage to speak some words of Serbo-Croat there

0:03:35 > 0:03:38but I certainly didn't manage to lift that.

0:03:38 > 0:03:41So the point is that that was your 100% maximum effort.

0:03:41 > 0:03:45So showing obviously that 100% maximum effort is all you can do.

0:03:45 > 0:03:47So there you go, point proved.

0:03:47 > 0:03:49You cannot give more than a 100%.

0:03:52 > 0:03:55Yes, despite what the celebrity mathletes folk

0:03:55 > 0:03:59and football managers say, 100% is the maximum.

0:03:59 > 0:04:02Clear? Good. Right, that's plenty of Riccardo.

0:04:02 > 0:04:05Time to make that golden space hopper mine.

0:04:07 > 0:04:11OK, so we're going to have to get you ready for the Celebrity Space Hopper Mathletes.

0:04:11 > 0:04:14- OK. Ready when you are.- Ready? OK.

0:04:17 > 0:04:19Do you think I'll be able to do this?

0:04:19 > 0:04:23- I think so.- I'm not so sure.

0:04:23 > 0:04:27- So your maximum heart rate is 178 beats per minute.- Right.

0:04:27 > 0:04:29What I want to do is, I want you to find out for me

0:04:29 > 0:04:31what 60% of that is?

0:04:32 > 0:04:34106.8, sir!

0:04:34 > 0:04:36Good! OK, round it up to the nearest whole number.

0:04:36 > 0:04:37107.

0:04:37 > 0:04:41Perfect! What's 70% of 130?

0:04:41 > 0:04:43Bring up the tempo. Work it out!

0:04:45 > 0:04:47- 91.- 91. Perfect, yes.

0:04:47 > 0:04:49Give me more, give me more!

0:04:51 > 0:04:56You need 80% of the public vote to get into the final of Celebrity Space Hopper Mathletes, OK.

0:04:56 > 0:05:00- We expect 5,600 calls to come in. - Really?

0:05:00 > 0:05:02Sanjeev, tell me what 80% of 5,600 is.

0:05:05 > 0:05:084,480 votes.

0:05:08 > 0:05:11That's correct! And...

0:05:11 > 0:05:13and stop!

0:05:15 > 0:05:20Well, I gave 100%, which is all I could give.

0:05:20 > 0:05:23And Riccardo is very impressed.

0:05:23 > 0:05:27In fact he was so impressed he's offered me 33.3% reduction

0:05:27 > 0:05:30in his personal training rate, which is a third.

0:05:30 > 0:05:31It's very reasonable.

0:05:32 > 0:05:34Here's the answer I gave him.

0:05:41 > 0:05:45I once had a 2-week argument with a 90-degree angle.

0:05:46 > 0:05:48Turned out he was right.

0:05:48 > 0:05:50AUDIENCE GROANS

0:05:52 > 0:05:56Angles, angles, who needs angles? Well, you need angles.

0:05:56 > 0:05:59To stand up. To sit down.

0:05:59 > 0:06:01To stand up again.

0:06:01 > 0:06:03To walk.

0:06:04 > 0:06:05To moonwalk.

0:06:08 > 0:06:12Look here, I can't moonwalk. The point is, every time you move, you're using angles.

0:06:12 > 0:06:16You don't even know it. Check this out.

0:06:16 > 0:06:17Right angle!

0:06:18 > 0:06:19And er...

0:06:22 > 0:06:23Acute angle!

0:06:25 > 0:06:29Do you know what else is cute? This haircut.

0:06:29 > 0:06:31It's a new style that I'm thinking of showcasing.

0:06:31 > 0:06:34But I don't know, I don't think I can get away with that any more.

0:06:34 > 0:06:37Besides, the whole palm tree thing is very last year.

0:06:37 > 0:06:40No, no, I think I need to rethink my look and who better to

0:06:40 > 0:06:43help me out than top hair professor, Mr Sharz Din.

0:06:43 > 0:06:46- Sharz, how are you?- Very good, thank you very much. How are you?

0:06:46 > 0:06:50I'm not too bad. So, maths and hair.

0:06:50 > 0:06:53Surely two completely mutually exclusive separate worlds?

0:06:53 > 0:06:55Not at all. Erm, what's very interesting

0:06:55 > 0:06:59about that is that we actually use maths all the time, particularly geometry.

0:06:59 > 0:07:01And the most important part of it, of course,

0:07:01 > 0:07:02is the understanding of angles.

0:07:02 > 0:07:06OK, so could you maybe talk me through specifically how you

0:07:06 > 0:07:09use angles in hair and at the same time sort out my barnet?

0:07:09 > 0:07:12Why don't we have a little look at a couple of models

0:07:12 > 0:07:16- and see how angles work on the head shape?- OK, sounds good.

0:07:16 > 0:07:18This is the lovely Helen.

0:07:18 > 0:07:22- Hello. And who's this chatterbox here?- Er, this is er, Sally.

0:07:22 > 0:07:25To be honest I've been giving Sally a really good scalp ritual

0:07:25 > 0:07:29for two minutes and I'm getting nothing back off her. Are you all right, love?

0:07:29 > 0:07:31Anyway, what are we going to do today, then?

0:07:31 > 0:07:35Well, first of all, what we're going to do is an iconic haircut

0:07:35 > 0:07:37called the graduated bob.

0:07:37 > 0:07:42And it starts off at the back, shorter at the nape,

0:07:42 > 0:07:46rounder at occipital bone travelling into a horizontal line

0:07:46 > 0:07:50- to complement the jaw.- OK, so it's a genuine combination of different angles.

0:07:50 > 0:07:53It certainly is. Are you ready to get started?

0:07:53 > 0:07:55Are you ready to go? I'll take that as a yes.

0:08:07 > 0:08:10Whoa, whoa, whoa, whoa! Stop right there!

0:08:10 > 0:08:13- What?- It's not looking quite how it should, is it?

0:08:13 > 0:08:15I'm not hearing HER complain.

0:08:15 > 0:08:19Why don't you put your scissors down, and I'll show you how we work with angles?

0:08:19 > 0:08:22Bit harsh.

0:08:22 > 0:08:25We've sectioned Helen's hair off.

0:08:25 > 0:08:27- Into two right angles, I notice. - Very good.

0:08:27 > 0:08:33And two right angles coming together make that section perpendicular.

0:08:33 > 0:08:34OK.

0:08:34 > 0:08:36Now, how we start is,

0:08:36 > 0:08:42if we imagine the jaw is horizontal or at zero degrees...

0:08:42 > 0:08:44Yeah.

0:08:44 > 0:08:48And that would make that angle 90 degrees,

0:08:48 > 0:08:55I'm going to cut Helen's hair at 45 degrees, right in between.

0:08:55 > 0:09:02Now after that, the angle then becomes less and less

0:09:02 > 0:09:07or more ACUTE as I work around the head.

0:09:07 > 0:09:10You're stepping down, down, down, down, more and more acute

0:09:10 > 0:09:13as you work around the head and then you finally hit zero.

0:09:13 > 0:09:18- Very good. Excellent.- Wow, who knew there was so much maths in hair?

0:09:18 > 0:09:22Check the skills. The man is simply a wizard with the scissors

0:09:22 > 0:09:25but he couldn't do this without the maths to back it up.

0:09:25 > 0:09:28Maestro, it's beautiful! Look at all the angles!

0:09:28 > 0:09:33- It's nice how it all combines. - So can you repeat that trick with your angle skills

0:09:33 > 0:09:34and do something with this?

0:09:34 > 0:09:36We can try.

0:09:46 > 0:09:50Right, Sanj, this is your new look.

0:09:50 > 0:09:55Vertical, 45 degrees, horizontal.

0:09:55 > 0:09:57What do you think?

0:09:57 > 0:09:59I think it's the future of hair.

0:09:59 > 0:10:02You've actually created a new hairstyle.

0:10:02 > 0:10:06- I've even got a name for it. - What's that?- The protractor!

0:10:11 > 0:10:13I don't understand, right, I keep putting up

0:10:13 > 0:10:19the volume on my television and it's still the same size.

0:10:21 > 0:10:26# Pump up the volume, pump up the volume, pump up the volume, check it out... #

0:10:26 > 0:10:29WHO NEEDS VOLUME? Sorry, you need volume.

0:10:29 > 0:10:33Volume is the measure of the space taken up by three-dimensional objects.

0:10:33 > 0:10:36And pretty much all of your possessions are three-dimensional objects.

0:10:36 > 0:10:40Your hat, your cat, your bat. It doesn't even have to rhyme with hat.

0:10:40 > 0:10:45Everything you own takes up space. How much space? VOLUME?

0:10:45 > 0:10:48I mean, look, I've got no space left in this room.

0:10:48 > 0:10:51It's just full of junk I don't even use any more. Look. Legs!

0:10:51 > 0:10:54I've got a perfectly good pair in my trousers.

0:10:54 > 0:10:56What have I got? Yes!

0:10:56 > 0:10:57This, 100 copies of this.

0:10:57 > 0:11:01The Sanjeev workout plan. Why didn't that sell?

0:11:01 > 0:11:04Space hopper. I take the bus now.

0:11:04 > 0:11:07What else? Ukulele...

0:11:10 > 0:11:13Why didn't that career take off? The old ball pit.

0:11:13 > 0:11:17I mean, phff, the number of nights I've spent in that.

0:11:17 > 0:11:21But I need to get rid of it all. I need to free up some space. I need to put all this stuff up in storage

0:11:21 > 0:11:24and frankly it's too big a job for one man.

0:11:24 > 0:11:26I think I'm going to need some help.

0:11:26 > 0:11:29And this is why I keep this man, Gavin, in my cupboard.

0:11:29 > 0:11:32Gavin, you are, are you not, an expert in volume?

0:11:32 > 0:11:35- I am.- How so? - I run a removals and storage company

0:11:35 > 0:11:39and for every job we do, we need to have an accurate volume of the job

0:11:39 > 0:11:44so we know what's going to fit in boxes, or what's going to fit in our vans and containers.

0:11:44 > 0:11:47So, can I ask you, using that volume brain, to hazard a guess as to the

0:11:47 > 0:11:51total volume of the stuff I need to take out of here and put in storage?

0:11:51 > 0:11:55Total volume...including the furniture is five million

0:11:55 > 0:11:58cubic centimetres or five cubic metres.

0:11:58 > 0:12:02Now that's a lot of cubic centimetres

0:12:02 > 0:12:05but will it all fit in Gavin's wee van?

0:12:05 > 0:12:09Now let's start with the ball pit, yeah? Erm, I'm actually quite sad to see this go.

0:12:09 > 0:12:13I've got quite attached to this. I even gave all the balls a name, so that one's called Derek.

0:12:13 > 0:12:17- OK, right, can you help me work out the volume of this ball pit, please? - Sure.

0:12:17 > 0:12:19What have you got?

0:12:19 > 0:12:22- 80 centimetres. - And I also have 80 centimetres.

0:12:22 > 0:12:26Er, but it is a cuboid so we need to measure the height as well, don't we?

0:12:26 > 0:12:28We do indeed. And the height's 30 centimetres.

0:12:28 > 0:12:31OK so that's 80 x 80 x 30.

0:12:37 > 0:12:41So it's a 192,000 cubic centimetres. Is there room in your van for this?

0:12:41 > 0:12:44- Plenty!- OK, let's take it, come on!

0:12:44 > 0:12:47Gavin's van only holds five cubic metres.

0:12:47 > 0:12:51Let's hope his estimate of my stuff is right. Or it could be two trips!

0:12:51 > 0:12:54- Gavin, check me out! I've found some old clothes.- Nice!

0:12:54 > 0:12:57But maybe we should stop monkeying around and get this stuff packed.

0:12:57 > 0:13:01- Fair enough, have you got something we could put this in? - Yeah, we could put it in here.

0:13:01 > 0:13:04Do you remember how to calculate the volume of a cylinder?

0:13:04 > 0:13:07Yes, I do. Er, we need some measurements, don't we?

0:13:07 > 0:13:11We need to measure the height of the cylinder first of all.

0:13:11 > 0:13:13The height is 48 centimetres.

0:13:13 > 0:13:17OK and then we need the radius, so if you can do the diameter.

0:13:17 > 0:13:19The diameter is 46 centimetres.

0:13:19 > 0:13:23Which means the radius is half the diameter, which is 23 centimetres

0:13:23 > 0:13:25so now I've got an equation.

0:13:33 > 0:13:40So that's 79,730.88 cubic centimetres of my old clothes. In you go!

0:13:42 > 0:13:46The success of Gavin's business relies on accurate volume calculations.

0:13:46 > 0:13:51The wrong measurement of even the smallest objects can make or break a job.

0:13:51 > 0:13:54Right, I think that's everything packed. I think we've done it.

0:13:54 > 0:13:57Everything except for the sticky notes!

0:13:59 > 0:14:03Oh, disaster! Have we not accounted for these?

0:14:03 > 0:14:06Can we get these in your van? Better measure them. That's er, 7.6 centimetres...

0:14:09 > 0:14:14..by 7.6 centimetres by... by 7.6 centimetres!

0:14:14 > 0:14:17- Yeah, I think we can squeeze it in. - Oh, thank Harry Styles!

0:14:17 > 0:14:20Right, come on. Let's get this stuff into the van. Come on!

0:14:26 > 0:14:30Great. Gavin was right. It did all fit into his wee van.

0:14:30 > 0:14:33Happy days! But even happier days because get this...

0:14:33 > 0:14:34I don't have to move it any more

0:14:34 > 0:14:38because I found a brilliant empty room to store it all in!

0:14:38 > 0:14:41How did I miss it? Honestly, I'm so unobservant sometimes.

0:14:41 > 0:14:45There's only one question remains. Does it have enough volume?

0:14:50 > 0:14:54You cannae trust these people, right, that want to make all the measurements metric.

0:14:54 > 0:14:55Honestly.

0:14:55 > 0:15:00Give them an inch and they take 1.609344 kilometres.

0:15:04 > 0:15:07Measurement. Who needs measurement? Well, we all need measurement.

0:15:07 > 0:15:12You measure everything. You measure time. You measure...

0:15:12 > 0:15:15distance. You measure space.

0:15:15 > 0:15:19You measure trousers.

0:15:19 > 0:15:23I could go on. The point is, it's hard to get a measure on how much we need measurement.

0:15:23 > 0:15:26I've been invited a very important party tonight

0:15:26 > 0:15:27so I've been clothes shopping.

0:15:27 > 0:15:29Hit the sales and er, you know what it's like.

0:15:29 > 0:15:33You go sale shopping and sometimes you buy stuff that doesn't quite fit.

0:15:35 > 0:15:37Clearly measurement is the issue here

0:15:37 > 0:15:41so I need to find someone who can do some clothes maths.

0:15:41 > 0:15:43And this is Elle. She seems stressed.

0:15:43 > 0:15:44Sorry, she's a seamstress.

0:15:44 > 0:15:47Yeah! I make and alter clothes.

0:15:47 > 0:15:50So do you think you can rescue these clothes and make me

0:15:50 > 0:15:53look sharp for this party and also, is there any maths involved in that?

0:15:53 > 0:15:59Well, maths is really important in dressmaking and altering clothes. Erm, measurement is key.

0:15:59 > 0:16:03And erm, when you get measurements wrong this is kind of what can happen.

0:16:03 > 0:16:05For example, this is far too big across the shoulders.

0:16:05 > 0:16:07And that's a little bit long in the sleeve.

0:16:07 > 0:16:11And then the trousers, you can see they're a bit snug and erm,

0:16:11 > 0:16:13a tad short. Erm...

0:16:13 > 0:16:15You've got a good eye.

0:16:15 > 0:16:19- What, er, is your inside leg measurement?- Er, 34 inches?

0:16:19 > 0:16:2034 inches?

0:16:20 > 0:16:23Well, most of the time I work in centimetres.

0:16:23 > 0:16:2586. Just over 86 centimetres.

0:16:25 > 0:16:29- OK.- It's quite long. So if I could ask you to hold that there.

0:16:29 > 0:16:34And you can see that these trousers are only 73 centimetres,

0:16:34 > 0:16:35which is far too short.

0:16:35 > 0:16:37- That's really quite short, isn't it? - Yeah...

0:16:37 > 0:16:38Can these be rescued, then?

0:16:38 > 0:16:43Well... The only thing I could do is add some more material on to the bottom.

0:16:43 > 0:16:46Erm, but it would be different material

0:16:46 > 0:16:48and it would be quite an interesting look.

0:16:48 > 0:16:49I think I'll give that a miss.

0:16:49 > 0:16:53- Are you sure?- Yeah, I think so. So, erm,

0:16:53 > 0:16:55- trousers for the bin, you think? - I'm afraid so.

0:16:55 > 0:16:58OK. Right, OK, well, fair enough. Move on. Jacket.

0:16:58 > 0:17:03The jacket. Because the jacket's bigger, it's easier to make things smaller so you can take fabric out.

0:17:03 > 0:17:07So you can think then that you will be able to make this jacket look immeasurably sharp for the party?

0:17:07 > 0:17:12I'm pretty sure there's something we can do.

0:17:12 > 0:17:14So fashion isn't just about the look.

0:17:14 > 0:17:16The maths is crucial, too.

0:17:16 > 0:17:18Elle needs to be spot-on with her sums.

0:17:18 > 0:17:23One centimetre either way and I could be in fashion Alaska.

0:17:23 > 0:17:25Elle's taking care of my jacket to make sure

0:17:25 > 0:17:27I look dangerously good for the party tonight.

0:17:27 > 0:17:31Good enough even to justify a hat! Only one problem.

0:17:31 > 0:17:33I've got a massive head. Huge!

0:17:33 > 0:17:36Seriously, it's got its own moon and everything.

0:17:36 > 0:17:37This is the question.

0:17:37 > 0:17:42Do we have the maths to find a hat big enough for this watermelon?

0:17:42 > 0:17:44This is Pea. She's a milliner.

0:17:44 > 0:17:46That doesn't mean she's in a higher tax bracket,

0:17:46 > 0:17:49it means she makes hats from scratch, which is very impressive.

0:17:49 > 0:17:53OK now, be honest. You're the expert. Is there a hat for this bonce?

0:17:53 > 0:17:59Absolutely, Sanjeev. There's hats for everybody these days!

0:17:59 > 0:18:01A hat for everyone, she says.

0:18:01 > 0:18:06I'm not sure she knows what she's letting herself in for.

0:18:06 > 0:18:07Wow!

0:18:10 > 0:18:13All right, now see that's what I'm talking about. Yeah, I like that.

0:18:13 > 0:18:18- Er, do you think maybe though, you could make it in a different material or something?- Absolutely!

0:18:18 > 0:18:21Luckily this style is one-size-fits-all.

0:18:21 > 0:18:25Now, let's see where the maths comes in.

0:18:25 > 0:18:27This is the crown of the hat, Sanjeev.

0:18:27 > 0:18:30In order for me to work out how much wire I need,

0:18:30 > 0:18:33I need to know the circumference of this circle.

0:18:33 > 0:18:34Oh, the circumference.

0:18:34 > 0:18:36Ah, so you'll be measuring the diameter of the circle.

0:18:36 > 0:18:40- Yep, the diameter is 12 centimetres. - Magic.

0:18:40 > 0:18:44This gives me a chance to showcase my very favourite equation.

0:18:44 > 0:18:45To work out the circumference,

0:18:45 > 0:18:48Pea needs to multiply pi by the diameter.

0:18:48 > 0:18:54But that's not the only measurement Pea needs for her business to be a success.

0:18:54 > 0:18:57It's very time consuming, this hat-making business, isn't it?

0:18:57 > 0:18:58Yeah, it really is.

0:18:58 > 0:19:01So on average, how long would it take to make a hat?

0:19:01 > 0:19:03I would probably be spending about 30 minutes

0:19:03 > 0:19:06on a consultation with someone.

0:19:06 > 0:19:08Possibly, 45 minutes pattern cutting.

0:19:08 > 0:19:12And then, maybe three and a half hours making a hat?

0:19:12 > 0:19:16- That's four hours and 45 minutes in total.- Yeah.

0:19:16 > 0:19:18I look at the time it's taken to make the hat

0:19:18 > 0:19:21and then I look at the cost of the materials.

0:19:21 > 0:19:25And then I'll come up with the final price for the completed hat.

0:19:25 > 0:19:30Whoa, whoa, whoa, whoa! Am I getting charged for this?

0:19:30 > 0:19:33Well, Pea had to give me the hat for free because Elle sewed

0:19:33 > 0:19:37the money into the jacket pocket after she did this lovely fitting. Result! I'm off to a party!

0:19:37 > 0:19:39See you later!

0:19:42 > 0:19:46What did, what did, what did zero to say eight?

0:19:46 > 0:19:48Nice belt.

0:19:51 > 0:19:54Area. Who needs area? Well, we all need area.

0:19:54 > 0:19:56Area defines the size of the surface.

0:19:56 > 0:19:59And we all live on surfaces. Unless you're hovering.

0:19:59 > 0:20:03Are you hovering? No. Are you hoovering?

0:20:03 > 0:20:07Well, clearly not, judging by the state of your room. How long has that apple been there?

0:20:07 > 0:20:12If you are hoovering, though, you're hoovering a carpet. A surface. A surface that requires material.

0:20:12 > 0:20:15How much material? Area.

0:20:15 > 0:20:18This bathroom is minging. Don't worry, it's not mine!

0:20:18 > 0:20:19Like I would use a bathroom like this.

0:20:19 > 0:20:23No, it's my mate's and I've decided to give it a secret makeover.

0:20:23 > 0:20:27I've arranged for her to be away for the day and I'm going to transform this space and hopefully make her

0:20:27 > 0:20:30cry as well, because, well, all the best makeover shows do, don't they?

0:20:30 > 0:20:34I've got tiles, I've got paint.

0:20:34 > 0:20:38What I don't have is any idea if I've got too much or not enough of that stuff.

0:20:38 > 0:20:41I don't have much time but thankfully help is at hand.

0:20:41 > 0:20:43- This is Steven. How are you doing, Steven?- Hi there. How are you?

0:20:43 > 0:20:47- Now you're a tiler by trade, aren't you?- Yes, I am.- So is maths something you use every day?

0:20:47 > 0:20:50Yes, we use it every day. We use it for pricing jobs and measuring jobs.

0:20:50 > 0:20:53So is area your specialist area?

0:20:53 > 0:20:55Yes, we need to work out how many tiles we need.

0:20:55 > 0:20:58OK. Good, so, you can help me to work out

0:20:58 > 0:21:00if I've got enough of THIS to cover all of this.

0:21:00 > 0:21:05- Yes, I can do. - Cool. Let's do some magic!

0:21:12 > 0:21:14OK, Steven, where do we start?

0:21:14 > 0:21:16We need to work out where you want to tile.

0:21:16 > 0:21:22OK, well, here's my vision. OK. I'm thinking tiles from the bath up to the rail.

0:21:22 > 0:21:26- How far along do you want to go? - Well, again, part of my vision is that I want to contain the

0:21:26 > 0:21:29aquatic space so I'm thinking just actually to the edge of the bath.

0:21:29 > 0:21:32- Then we'll need to measure the length by the height.- OK.

0:21:32 > 0:21:35- Well, do you want to the length and I'll do the height?- Fine.

0:21:36 > 0:21:39So the length is 170 centimetres

0:21:39 > 0:21:41and the height is 96 centimetres.

0:21:43 > 0:21:47Right, good so that's us worked out the area that needs to be tiled so do we have enough tiles?

0:21:47 > 0:21:50Yes, I think so but we'll need to measure the area of one tile to see if I've got enough.

0:21:50 > 0:21:56OK, right. Well, I'll hold the tile if you can do the measuring.

0:21:56 > 0:21:58It's 15 centimetres by 15 centimetres.

0:21:58 > 0:22:02OK. So the area of one tile is length times breadth, which is

0:22:02 > 0:22:0415 centimetres by 15 centimetres which is...

0:22:07 > 0:22:09225 square centimetres.

0:22:09 > 0:22:10(That's very good...)

0:22:10 > 0:22:12So to work out how many tiles we need,

0:22:12 > 0:22:15we divide that area by the area of that.

0:22:15 > 0:22:19That's correct, yes.

0:22:23 > 0:22:26Right, so we need 72.5 tiles. What does that mean?

0:22:26 > 0:22:29What we'll need to do now is we need to add 10% for waste

0:22:29 > 0:22:32or breakages which is about 80 tiles.

0:22:32 > 0:22:34- OK, so that's something that you normally do?- Every time.

0:22:34 > 0:22:38- OK, well, that's good news because 80...we have 80, so we can get cracking.- Yes.

0:22:38 > 0:22:39OK, good - let's get started then!

0:22:42 > 0:22:44- Right, these are all meant to be white.- Yep.

0:22:44 > 0:22:47Er, well, this wasn't part of the vision.

0:22:47 > 0:22:50Right, do you know what, though? Let's get creative.

0:22:50 > 0:22:54Right, OK. Tell me what you think of this, OK? So we still have the white in the middle...

0:22:54 > 0:22:59- Yes.- But, we use these tiles to sort of create a border round there.

0:22:59 > 0:23:03- Do you think that might work?- Yes, just tile the perimeter in yellow then?- Aha.- Yes.

0:23:03 > 0:23:07- But do we have enough of these tiles to do that?- We should do, yes.

0:23:07 > 0:23:10Steven's quick maths confirms I've got enough tiles for my border.

0:23:10 > 0:23:11Result!

0:23:11 > 0:23:13Wish I'd had his maths skills when I bought the paint.

0:23:13 > 0:23:18Turns out I've got enough for the bathroom, the kitchen and a small car.

0:23:19 > 0:23:22Oooh! My pal's going to love this!

0:23:29 > 0:23:30That's me finished.

0:23:38 > 0:23:40Well, I've just heard my friend is on her way back now

0:23:40 > 0:23:46and I genuinely, genuinely think we're going to see tears. Oh, yeah.

0:23:46 > 0:23:48FRIEND SCREAMS

0:23:51 > 0:23:55I always wear my glasses when I'm doing decimals.

0:23:55 > 0:23:58Don't see the point otherwise.

0:23:58 > 0:24:00AUDIENCE GROANS

0:24:07 > 0:24:11Who needs ratios and fractions? Well, you need ratios and fractions.

0:24:11 > 0:24:12You use them all the time!

0:24:12 > 0:24:13Give me half a minute.

0:24:13 > 0:24:15Can I have half rice, half chips?

0:24:15 > 0:24:18A third of my class are halfwits - which is the same as saying

0:24:18 > 0:24:22half of my class are third wits, mathematically speaking.

0:24:22 > 0:24:28One place you'll definitely need your ratios and fractions though, is in the kitchen.

0:24:28 > 0:24:31So here's the deal. I've got a pile of mince, the size of my head.

0:24:31 > 0:24:34That's a lot of mince. So I'm going to have some friends round for dinner tonight.

0:24:34 > 0:24:3720 people are coming. Yeah, I've got 20 friends.

0:24:37 > 0:24:4016 are from an agency but the point is I've decided to cook

0:24:40 > 0:24:43a big old pot of chilli for 20.

0:24:43 > 0:24:45What am I going to need to make chilli for 20?

0:24:45 > 0:24:48Well, I think the first think I'm going to need is a bit of help....

0:24:48 > 0:24:51- Hello, Emili!- Hi, Sanjeev.- How are you?- I'm very well, thanks.

0:24:51 > 0:24:54Good. Is maths something you would use in your everyday professional life?

0:24:54 > 0:24:59Absolutely! Every single day, whether I realise I'm doing it or not, I'm always using maths.

0:24:59 > 0:25:04- So what's the most you've ever catered for?- Oh, I've catered for anything from one person to 1,001!

0:25:04 > 0:25:06Cool, so you could cope with 20.

0:25:06 > 0:25:07I think I can cope with 20.

0:25:07 > 0:25:13All you need is confidence in your recipe and some maths!

0:25:13 > 0:25:15Well, I've got my mum's secret chilli recipe here

0:25:15 > 0:25:17although I clearly got it from a website.

0:25:17 > 0:25:19Rumbled, Mum!

0:25:19 > 0:25:21But this recipe's only for four people.

0:25:21 > 0:25:23Oh, and we're catering for 20.

0:25:23 > 0:25:26Ah, so oh, right, so what now, then?

0:25:26 > 0:25:29Well, I guess we scale up from four to 20.

0:25:35 > 0:25:38So what we're doing then is, it's er, multiplying everything by five.

0:25:38 > 0:25:41- Yep.- OK. I think I can cope with that.

0:25:41 > 0:25:45So it's er, 500 grams of mince times five is 2,500.

0:25:47 > 0:25:49600 grams chopped onions.

0:25:51 > 0:25:53OK, so two tins of tomatoes.

0:25:53 > 0:25:55- OK, so that's easy.- Two times five.

0:26:01 > 0:26:05- Ten!- That's it, you got it! - Ten tins of tomatoes, OK.

0:26:06 > 0:26:09Ah, right, now. That wee guy's a fraction.

0:26:09 > 0:26:12One-and-a-third cans of kidney beans.

0:26:12 > 0:26:14- A bit more tricky.- Yeah, why don't...

0:26:14 > 0:26:17What we could do, we could empty a can of kidney beans,

0:26:17 > 0:26:20count them and times that by five.

0:26:20 > 0:26:23That's crazy talk. Are you scared of a little fraction?

0:26:23 > 0:26:25I'm not scared of fractions!

0:26:31 > 0:26:35- Put in six and a bit. - Six and a bit? OK.

0:26:36 > 0:26:42- Red peppers. - Red peppers. Ten cloves of garlic.

0:26:42 > 0:26:48And one stock cube times five. Five stock cubes. OK, next up is the extra-hot chilli paste.

0:26:48 > 0:26:50And that's another fraction.

0:26:50 > 0:26:55Yeah, this is crucial because I get this wrong and we're spending the night in A&E, ha-ha!

0:26:55 > 0:26:56Argh!

0:26:56 > 0:27:01So five times 2.5. So that's 12.5 teaspoons of extra-hot chilli paste.

0:27:01 > 0:27:05- That's a lot of chilli paste, isn't it?- Well, 20 is a lot of people.

0:27:05 > 0:27:08Fair enough, OK.

0:27:08 > 0:27:12When it comes to cooking, it's not just recipe and technique.

0:27:12 > 0:27:15There's maths in that pot.

0:27:15 > 0:27:16Top kitchen work, Emili.

0:27:16 > 0:27:19Er, that's the food in good shape, the chilli bubbling away there

0:27:19 > 0:27:23like, er, two pots of mince with other stuff in it.

0:27:23 > 0:27:24Hopefully in the right ratio.

0:27:24 > 0:27:28Er, but what about drinks for my wee soiree?

0:27:28 > 0:27:30Well, er, funny you should ask.

0:27:34 > 0:27:37Well, I'm a sophisticated kind of guy. Kind of know minor royalty.

0:27:37 > 0:27:39I eat fruit you probably never even heard of.

0:27:39 > 0:27:41So I want a sophisticated drink.

0:27:41 > 0:27:45I'm going for a non-alcoholic cocktail that's one I invented myself.

0:27:45 > 0:27:47I call it the Jazzy Handbag.

0:27:47 > 0:27:49It's four parts cola, two parts orange juice,

0:27:49 > 0:27:52one part chicken stock. Mmm!

0:27:52 > 0:27:56So I'm thinking a litre of this taste sensation per guest.

0:27:56 > 0:27:5820 guests - and er, not forgetting myself,

0:27:58 > 0:28:02that's 21 one litres of Jazzy Handbag.

0:28:02 > 0:28:03Who said I can't throw a party?

0:28:11 > 0:28:12Ahhhh!

0:28:19 > 0:28:22That's perfection. The chicken really dances on the tongue.

0:28:22 > 0:28:25So all we need now is guests.

0:28:25 > 0:28:29Now as you can see, I've invited them at 7.30 on Saturday

0:28:29 > 0:28:31and the time now is...

0:28:31 > 0:28:36..quarter to, that's 15 minutes to nine on...

0:28:36 > 0:28:37Friday.

0:28:40 > 0:28:42Do you like chilli?

0:28:54 > 0:28:56Subtitles by Red Bee Media Ltd