500,000 Hog Hits

Mathspig is sooooooo excited

about reaching:

To celebrate 500,000 or 5×10⁵ hog hits

 and to continue showing mathspiggies everywhere

that maths is fun

and relevant to all

Mathspig presents

The MATHEMATICAL

CABINET OF

500,000

CURIOSITIES!!!

………………………………………

………………………………………………………

If you took a sample of

500,000 US teens

how many DO YOU THINK fall

asleep at school

at least once a week?

You will find amazing US teen stas here:

28% report falling asleep once a week

 500,000 x 28/100

= 140,000

Snoring to the left of you. Snoring to the right of you. You are not alone.

……………………………….

…………………………………..

.
.

.

.

.

.

.

.

.

What volume of coke is there in 500,000 cans?

Coke can vol = 355 ml = 12 fl oz

500,000 x 355 = 177,500,000 ml

= 177, 500 l = 177.5 m³

……………………………………………

An average bath uses 150 litres water per bath.

How many bathtubs would 500,000 cans of coke fill?

177,500/150

= 1,183 baths in coke!!!

Hey mathpiggies, wanna bubble bath? You’d be tickled pink.

……………………………..

………………………………………

…………………………………………

…………………………………………

In a crowd of 500,000 how many people

would have their birthday

on the same day as yours?

There are 365 days in the year so the probability of anyone having their birthday on the same day as you (ignoring leap years) is:

1 in 365 or 1/365.

 

In a crowd of 500,000 the number of people who have a birthday on the same day as you is most likely:

500,000 x 1/365 = 1,370

That’s a lot of birthday cake!!

………………………………………………

………………………………………………..

  How heavy is $500,000 dollars?

 

Australia:

Wt Aus $1 coin = 9.0 g

If the bank gave a bank robber $500,000 in $1 coins it would weigh:

500,000 x 9.0 = 4,500,000 g

= 4,500 kg = 4.5 tonne

………………………………………………

………………………………………………..

UK:

.

Wt UK £1 coin = 9.5 g

500,000 x 9.5 = 4,750,000 g

= 4,750 kg = 4.75 tonne

…………………………………………………..

…………………………………………….

USA:

Wt US $1 coin = 8.1 g

500,000 x 8.1 = 4,050,000 g

= 4,050 kg = 4.05 tonne

You will find all you need to know about the size and weight of US coins and notes here.

$500,000 in $1 notes would only weigh

11 lb or 5 kg.

……………………………………………….

So, um, bank robbers do the maths!!!!!!!!!!!!!!!!!!

………………………………………………

………………………………………………..

How far would you walk in 500,000 steps?

We’ll assume you take a big step of 1m.

So 500,000 m = 500 km.

A comfortable walking rate is 5 km/hr.

How long would it take you to walk 500 km without a break?

500/5 = 100 hrs.

………………………………………………

………………………………………………..

The Bugatti Veyron Super Sport  hits a maximum speed of 267 mph (429 km/h).

How long would it take the Bugatti travelling at top speed – not including refueling time – to clock up 500,000 km?

500,000 /429  = 1165.5 hr

= 48.5 days

The speed of an average sized commercial passenger plane ≈ 500 mph 0r 800 kph or

≈ twice the speed of the Bugatti.

So it would take a passenger plane approx 24 days to travel 500,000 km.

………………………………………………

………………………………………………..

How long would it take you to count to 500,000?

Assuming you count at the rate of 1 per second the time it would take is 500,000 seconds.

500,000/ 60 = 8333 mins = 833/60 hrs

= 13.88 hrs or 13 hrs 53 mins

Come on! You could do that mathspiggies!!!!!

………………………………………………

………………………………………………..

 In a group of 500,000 US teens how many are serious cave dwellers or, to be more accurate, how many spend less than 3 hrs a week outdoors?

It is an amazing 30.1%.

500,000 x 30.1/100

= 150, 500 creatures of the gloom.

Come on you teen gloomagogs get outdoors. You need the sun. You need the Vitamin D.

………………………………………………

………………………………………………..

How many calories in 500,000 m&ms?

There are an amazing 400 million m&ms produced everyday in the US. One m&m weighs 0.7g.

And calories in 1 m&m =  3.4 cal

500,000 m&ms weigh:

500,000 x 0.7 = 350,000 g

= 350 kg

As 400 million or 8 x 500,000 m&ms are produced each day, that is 8 x350 kg or 2800 kg or 2.8 tonne.

Calories in 500,000 m&ms is:

500,000 x 3.4 = 1, 700, 000 Cal

As the average consumptionof chocolate in the US is 5.18 kg per year eating 500,000 m&ms would take:

350 kg/ 5.18 kg

= 67.6 years!!!!!!!!!!!!!!!!!!!!!!!!

You better get going!!!!!

………………………………………………

………………………………………………..

Blink rates vary but the average blink rate in a laboratory setting for a human is 10 blinks per minute.

How long would it take for you to blink 500,000 times?

500,000/10 = 50,000 minutes

= 50,000/60 hrs = 833.3 hrs

= 833.3/24 = 34.7 days

= 34 days 17 hrs 17 mins

But don’t think it or you’ll go blink crazy!!!!

Sweet Tooth Maths 1

Good News for Chocoholics

To get the right texture Easter Eggs are made from sugar or sucrose and not from corn syrup. But chocolate contain lots and lots of sugar.

………………………………………………..

Guylian Sea Shells:

Weight Sea Shell: 120 g

Weight Sugar: 48g

% sugar = 48/120 x 100 = 40%

………………………………………………………………..

………………………………………………………………

This is a Guylian Luxury Easter Egg. It can also be used as a designer handbag, I guess.

Guylian Easter Eggs:

Weight Easter Egg: 100g

Weight Sugar: 52g

% sugar = 52/100 x 100 = 52%

You’ll find nutrition data here.

…………………………………………………….

……………………………………………………………….

Easter Challenge:

Here is the largest Chocolate Easter Egg ever.

This Giant Egg from the Guinness Book of Records was made in 2005 in Belgium by chocolate maker Guylian.

Statistics:

Height: 8.32 m

Weight: 1950 kg chocolate or 4300 lb

No. Chocolatiers: 26

No. Chocolate bars: 50,000

Total time: 525 hrs

Easter Challenge for Chocoholics

The amount of sugar in the giant egg weighs as much as a Fiat Pinto.

Sweet Tooth Maths 2

Gather round mathpiggies.

Today we are going to be Food Scientists; food science needs maths and this food science is important for your health and diet.

Before we do the maths we must understand the science of sugar. Here is a simple explanation.

In the USA corn, which is 100% glucose, undergoes an industrial process that breaks down the long glucose chains  and converts some glucose to fructose because fructose delivers a bigger sweetness hit on your tongue and corn is cheap. The resulting HFCS (high fructose corn syrup) is, on average, 60% fructose.

Now we can do the maths.

This important information below comes from the Goran Labs

……………………………………………………………………………..

Food Science Maths

or

Fast Food Maths

……………………………………………………………………………..

1. Draw up a bar graph of the weight of sugar(sucrose) and fructose for 8 drinks.

2. Plot the weight of sugar(sucrose) and fructose for 8 drinks on axes.

3. Assuming that 100ml of soft drink weighs 100g – this is realistic- calculate the percentage of sugar(sucrose) and fructose. This exercise is to see if students are paying attention. It is very easy!

 4. Drinking too much sugar in any form is not advisable, but fructose in large quantities just adds calories without satisfying your hunger. Which drinks are loaded with fructose?

Sweet Tooth Maths 3

Food Scientists check to see if the stated sugar content of food equals the actual sugar content. Here is a medium sized Macdonald’s Coke.

………………………………………………

The size of a medium sized coke is:

 590ml (Australia) containing 55 g sugar.

621 ml (21 fl oz) USA containing 58 g sugar

 400ml (UK) with 42 g sugar.

……………………………………………………..

You can get nutrition information for Macdonald’s coke for Australia here , the USA here and the UK here.

Food Science Maths

Q 1. Calculate the percentage sugar in Maccas cokes in Australia, the USA and the UK assuming 1 ml coke weighs 1 g.

Ans: 9.3% (Aus), 9.3% (USA) and 10.5% (UK)

Here are some interesting results for the Goran Labs. This table shows you the % variation in sugar content of soft drink samples.

Q2. Calculate the actual amount of sugar for by weight for each medium sized Macdonalds coke if, as shown in the graph above, there was 28% more sugar than stated on the nutrition panel, in the brochure or on the website.

Ans: 70.4 g (Aus), 74.2 g (USA) and 53.7g

Well, chug-a-lug mathspiggies, you can see which country is getting a big sugar hit at Maccas.

The Curious Nature of Drummers’ Brains

  In a 2011 article in the New Yorker Burkhard Bilger wrote about neuroscientist David Eagleman and his research into time and the brain especially drummers’ brains.

Some of the drummers he has interviewed and/or tested include William Champion of Cold Play, Brian Eno of Roxy Music and Larry Mullen, Jnr of U2.

Eno, on keyboards (above) who was working on a U2 album,  talks about Mullen’s amazing timing.  They were using a click-track (computer generated beat) when mMullen complained he couldn’t drum to it. ENO adjusted the beat. Mullen was happy.

ENO adjusted the beat by 6 milliseconds!!!!!!!!!

6 thousandths of a second.

Cool Larry Mullen Jnr Drum solo

Tempo is measured in beats per minute or bpm. 

Drum Beats for different tracks:

Here are some drum beats provided by Justin Alan Cox so you can get your timing right:

60 bpm

80 bpm

100 bpm

120 bpm

Drummer Maths:

How Cool a Drummer are you?

Pick a beat and see how accurate you can beat tempo. Time how long it takes you to beat out 60, 80, 100 or 120 drum beats using a pencil.  It should, obviously, take one minute if you are an ENO or a Mullens.

What was the difference in time in seconds?

Calculate your % error = time error (sec)/(60 sec) x 100

Bilger’s conclusion:

‘Like perfect pitch, which dooms the possessor to hear every false note and flat car horn, perfect timing may just make a drummer more sensitive to the world’s arrhythmias and repeated patterns, Eagleman said—to the flicker of computer screens and fluorescent lights. Reality, stripped of an extra beat in which the brain orchestrates its signals, isn’t necessarily a livelier place. It’s just filled with badly dubbed television shows.’

Oh It’s Hard to be Humble When You’re as Famous as Me!

So you wanna be FAMOUS  and fabulous and uber-cool too.

Maybe you wanna be the Chris Rock of maths. Being famous is soooooo cool.

…………….……You get attitude!!!

……………………You Get cool sunglasses!!!

….You get a chauffeur that’s not your mum!

But what are the chances? What is the probability that a kid at your school will become famous one day? Cate Blanchet went to Mathpigs kids’ school. But in Australia we don’t make a fuss. They haven’t put a picture of her on the wall or anything.

So mathspigs let’s work out the probability of you becoming a STAR, BABY!

Here is an interesting statistic from Psychology Today.

………………………………………………………………………………………….

The first question is how do you measure fame? Do you have to be on TV to be famous? Do you have to be a Hollywood star? Should you be a wax dummy in Madame Tussaud’s? Not as a job. I mean because you are so fabulously famous.

Perhaps, you could use Tom Weller’s humorous Rictus scale (a parody of the Richter Scale) for earthquake intensity using media coverage as a guide to fame. Just replace the persons name for the word ‘scene’.

I’m thinking around ’5′ looks like FAME, but you decide. Now count how many ex-students from your school (and any current ones) who have become famous in the last 20 years and do the maths.

…………………………………………………………………………………..

Rictus Scale #	Richter Scale Equivalent	Media Coverage
1	0-3	Small articles in local papers
2	3-5	Lead story on local news; mentioned on network news
3	5-6.5	Lead story on network news; photos in nation newspapers; governor visits scene
4	6.5-7.5	Network correspondents sent to scene; president/PM visits area; commemorative T-shirts appear
5	7.5 up	Covers of weekly news magazines; network specials; “instant books” appear

Hunger Game: Survival Maths 1

How long can you live if you are bleeding?

Unlike Kill Bill where Tarantino used, literally, hundreds of litres of fake blood (See Mathspig Post: Don’t Bleed Your Fake Blood on Me), The Hunger Games shows very little blood.

Nevertheless 11 tributes are killed violently in the first few minutes of the game and Peeta is wounded later in the movie(pic with Katniss above).

To calculate how long you would last in The Hunger Games if bleeding we must know your volume of blood and the rate of bleeding.

1. How much blood do you have?

According to the BJA, the British Journal of Anaesthesia, blood volume is  7% of body weight in adults and 8 – 9 % of body weight in children.  Doctors are not confusing weight and volume. Blood is very close to the density of water and so 1 litre of blood weighs 1 kg. 

(NB: Future Engineers: Blood does not flow like water as the blood platelets affect the viscosity.)

Using blood volume (in litres) as 8% of body weight (in kg) then typical blood volumes for teenagers would be:

Age Group	Blood Volume litres Female	Blood Volume litres Male
12	4.3	4.0
14	4.7	5.1
16	5.0	6.1
18	5.3	6.6

 

2. How long would you last if bleeding?

…………………………………………………………………………………………………………………………………..

Obviously, it will depend on the rate of bleeding.

According to the BJA massive blood loss equals a blood loss rate of 150ml/min or 50% of blood volume loss within 3 hrs.

 BLOOD LOSS EQUATION:

B = total blood loss ml

R = rate blood loss in ml/ min = 150 ml / min

t = time min

B = Rt

B = 150 t

According to New Scientist loss of blood IN THE AVERAGE ADULT produces the following symptoms:

A  750 ml: feel blood loss

B  1500: weak, thirsty & anxious

C  2000 ml : dizzy, unconscious

D  3000 ml: Dead

See A, B, C and D on graph below.

3. How long have you got?

First, calculate  50% of your blood volume for your age.

Now go to the blood loss graph and see how long it would take you to lose this volume.

You can stop doing the maths now, mathspiggies, and get some help to stop the bleeding.

Lego Olympics Flags

The Lego Marching band is rehearsing for the Opening ceremony.

…………………………………………………………………..

Here are just a few of the weird and wonderful folk from the many planets and nations represented at the Lego Olympics:

.

.

.

.

.

………….Bandito (Republic of Baddies)

.

.

.

.

.

.

Mr Boopy (Bozonia)

.

.

.

.

Gorilla Suit Guy (Halloweenotopia)

.

.

.

.

.

.

………………..Barry the Butcher (Alien Steakistan)

……………..BioHaz (Toxorama)

…………………Dead-Eye Doc (AyeAwArghia)

.

.

.

.

.

Dr Jabb (Bummerville)

.

.

.

.

Hula Lula (Grinmania) 

……………………………………………………………………

1. Flag Fractions

EQUIPMENT: Mixed Lego Blocks

Here is the maths. It’s fractions. It’s simple.

………………..

…………………………………………………

A. National Flag of  Comotosia

They’re a bit sleepy in Comotosia so you better design a flag to wake them up, mathspigs.

The flag must measure ………….   6 blocks x  12 blocks.

One block is a 4 bumps blocks (See pic). An 8 bumps block equals 2 blocks.

……………………

Here’s the catch, mathpiggies.  1/4 of the blocks in the flag must be RED.

How will you do this? (Hint below)

>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>

…………………………………………

.B. National Flag of Bordom

Once again the Bordonians need a lively flag.

The flag must measure 6 blocks by 12 blocks, but this time it must contain 1/4 red and 1/3 blue. How do you do this?

Hint: Mathspigs! You will have to count the number of red and blue blocks.

 

2. Design A National Flag to Lego Scale

First, name your Lego man, girl or alien and pick a name for their country, planet or crypt.

You will be drawing two flags.

All national flags are rectangles except Switzerland and Tibet, which have square flags but not at the Olympic Games.

Olympic Flags measure:  150 cm x 90 cm

or …………………………….. 60 inches x 35 inches.

These sizes are not equal so which flag is bigger the decimal flag or the Imperial Units flag?

The Imperial units flag is 152.9 cm x 88.9 cm. It turns out the area of the Decimal flag is 13,500 cm² and the Imperial Flag 13,593 cm² . 

You will be designing a decimal flag.

Note the Flag ratio of length: width = 150 : 90

…………………………………………………… =  15 : 9 = 5: 3

First design a flag with 5: 3 ratio.  One measuring 10cm x 6 cm would be ideal.

 

BUT

How big are the national flags at the Lego Olympics:

Real flags at the Olympics =  150 x 90 cm

Lego Flag measurements =  150/50 x 90/50 = 3 cm x 1.8 cm = 30mm x 18 mm

Here are my two Lego people with flags  I prepared earlier:

The Enforcer from the Constellation of Obeymia and Mr Boopy from Bozonia.

Lego Olympics Closing Ceremony

The closing ceremony is chaos. All the athletes crowd together.

There is one last lot of calculations, mathspigs.

Think about this.

% Gold Medal Winners:

At the 2012 London Olympics there will be 47 Gold medals awarded in athletics.

There will be 2,000 athletes competing for these medals. Now some athletes will win more than one Gold medal and some events eg. the relay race involve more than one athlete. Each member of the winning relay team wins a Gold Medal.

Approximately what % of athletes won’t win a Gold Medal at the London Olympics?

Ans:  97.65%

Probability of Winning a Gold Medal:

Ha-HA! Tricked ya! Such a calculation would be meaningless.

The core to all probability is, or should be, RANDOM SELECTION.

Lottery balls fall randomly into the tube. But the Olympic athletes represent a BIASED SAMPLE. Athletes are selected for the games. They must qualify for an event. They train. The chance of one athlete winning is quite different from that of another.

…………………………………………………………………

Eight numbered  100m-sprint athletes is a Biased Sample.

………………………………………………………………

Eight numbered lottery balls in last nights draw make up a random sample.

This brings us to the end of the Lego Olympics.

We will finish with this end song by Lego Rock Band and some Lego fireworks.

……………………………………………………….

Lego Olympics Triathlon total Times: 1. Mummy’s Boy: 3 hrs 33 mins, 2. PJ Boy 5 hrs 24 mins, 3. Olag 2 hrs 51 mins, 4. Dead-Eye Doc 2hrs 57 mins, 5. Hula Lula 3 hrs, 6. Mr Boopy 3 hrs 20 min, 7. Gorilla Suit Guy 2hrs 52 mins,8. BioHaz  2 hrs 36 mins.

Zombie Maths 8: Percentages

.

There are 7 billion people on earth but

BUT 54% of humans can’t swim …

…………….  46% can!

 .

 

.

 

Number of people who can swim is 3.22 billion.

 

Zombies don’t have to swim

… They can’t drown!!!!

They can breathe under water

or

just play at the beach.