Archive for the ‘probability’ Category

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MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig MathsPig …………………………………………………. with Kerry Cue

April 25, 2015

Mathspig Maths Mystery Box

Helloooo My Little Luvvies,

 

So here are the 10 Maths Mystery Box challenges I’ve put together for you:

1. Maths Mystery Box 1: NOT STUPID

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2. Maths Mystery Box 2: CURIOUS

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3. Maths Mystery Box 3: NERD

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4. Maths Mystery Box 4: FUNNY THAT

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5. Maths Mystery Box 5: FANTASY

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6. Maths Mystery Box 6: WEIRD

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7. Maths Mystery Box 7: PHONES

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8. Maths Mystery Box 8: JUNK FOOD

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9. Maths Mystery Box 9: MUSIC

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10. Maths Mystery Box 10: LETHAL

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mathspig bonusAnd the bonus Maths Mystery Box Question:

Sniffer rats have been in the news this week, but:

 When is a sniffer rat better than a sniffer dog?

(Hint: It has to do with a measurement?)

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Isn’t MATHS marvelous? And magical too!

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Hoo Roo for now,

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MATHSPIG

 
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Maths Mystery Box 1: Not Stupid

April 10, 2015


Maths Mystery BOX 1

Not stupid. Just, like, lazy.

Mathspig averages quote

I use the quote above to explain to people that Averages don’t mean much. This is a typical response. Really! Wow! Australians have one breast and one testicle!

We live in a culture of Selective Stupidity. Most people can do the basic maths of: + – x % $$$$, but many don’t bother. We leave maths thinking to machines and their algorithms.

???

So you buy 4 choc bars at 50 cents each and, for fun, ask the shop assistant ‘how much?’ They work the answer out on the cash register. They have to record the purchase. Still, how hard would it be to say $2? We don’t even try.

Yet we need maths every day to buy stuff, read timetables, pay bills, cook, understand food labels, take medication and more. Maths is used in sport, driving, gaming, gambling, drinking (ie. alcohol levels) and banking; maths is used in the workplace, the law, politics, advertising, fitness, the travel industry, gardening, the music industry (Royalty payments are a big issue now), watching TV (Download speeds are crucial), Facebook (How many likes?) and more.

The UK maths-promoting charity National Numeracy quotes from research suggesting ‘weak maths skills are linked with an array of poor life outcomes such as prison, unemployment, exclusion from school, poverty and long-term illness’. (Judith Burns, Poor numeracy ‘blights the economy and ruins lives‘, BBC News, 5 March 2012)

Yeah! And ….

Mathspig hot date quote

Josie Gurney-Read in an article Damaging maths mindset holding pupils back,( The Telegraph, UK, 30 Oct 2014) claimed 17 million adults in the UK have poor maths skills and this is costing the economy £20 billion a year.

£20 billion,eh?

The previous article by Judith Burns, above, quoted research by KPMG auditors that put the annual costs of poor numeracy skills in the UK at £2.4bn.

So £2.4 billion, is it?

Who’s doing the Maths HERE?

Who cares? We let these numbers just fly past without thinking about them. We choose to suffer from Selective Stupidity.

To challenge middle school students to think about the numbers they read here are a few tricky questions:

the maths quiz

Look at the following questions and see if you can work out why the maths is totally dodgy.

1. Dumb and Dumber

doll solar

Solar Plus claimed, after a survey of 60 customers, that 99.98% of customers would recommend their product.

What’s wrong with their Maths?

Answer here.

2. Wanna get rich? Look at the Graph, Dude!

Financial advisers around the world wheeled out graphs like the one below to show that investing in the stock market is very secure and that down turns in the market in 2007 were minor. Oh Yeah!

What is wrong with this graph!

Mathspig Maths Mystery Box 1 graph

Answer here.

3. Run a Red Light. 0.9 sec! $234 fine! Is that fair?

pslogo

Look at the maths. How far would a Mazda 3 travelling at 60 kph (37.3 mph) travel in 0.9 seconds? 

Ans here.

4. Can you out run a fireball?

This is a Movie Cliché we see over and over. But is it possible?

Maths Mystery Box 1  outrun fireball

A Fireball travels at 400 m/sec. That’s metres/sec. Now can you do the maths?

Answer here.

5. You could win the lottery! The least drawn numbers are ….

winlottery

If the least drawn numbers are 41, 32, 10, 43, 35 and 20 will picking these numbers improve your chances of winning the lottery?

Answer here.

6. The Equation for the Funniest Joke is:

According to The Telegraph UK the formula for the funniest joke is:

x = (fl + no ) / p

Where

x = funniness of joke

f = funniness of punchline

l = the length of the build-up

n = the amount some falls over

o = the “Ouch” factor of physical pain or social embarrassment

p = power of the punchline

So, what’s wrong with this equation? Ask Weird Al Yankovic.

MAD Magazine Weird Al Marker Tooth_54dce7ae29a8f0.26429747

Ans here.

(Quick Ans: It’s all rubbish. Guess work x cow manure = bulldust. You cannot measure any of these variables. What’s the unit for measuring funniness?)

7. Coconuts kill 150 people a year. Does that sound right?

260px-'BEWARE_FALLING_COCONUTS'_sign_in_Honolulu,_Hawaii

OK. You are not a crazy death-by-coconut research scientists. But have a guess. Are coconuts that dangerous?

Answer here.

8. 9 out of 10 serial killers prefer murdering kids with Emo hair.

funny-emo-bunny-hair

Does this sound reasonable?

Answer here.

Quick Answer: There’s a lot of joke maths out there but some folk take it seriously.

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Maths Mystery Box 5: FANTASY

February 23, 2015

Maths Mystery BOX 5

 

Middle school maths challenge

%, probability and a fight to the death

The REaping mathspig

Hunger Games Maths Survivor 1a

This problem is trickier than you think. You will need this information.

Major Major HINT

Hunger Games Maths Survivor ANSWER 1

Hunger Games Maths Survivor 2

Hunger Games Maths Survivor ANSWER 2

You will find more HUNGER GAMES maths including How long would it take you to bleed to death? here.

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500,000 Hog Hits

April 27, 2013

Mathspig is sooooooo excited

about reaching:

5 etc hits

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!!!

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If you took a sample of

500,000 US teens

how many DO YOU THINK fall

asleep at school

at least once a week?

asleep

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.

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happy-2nd-birthday
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What volume of coke is there in 500,000 cans?

coke shower

Coke can vol = 355 ml = 12 fl oz

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

= 177, 500 l = 177.5 m3

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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.

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In a crowd of 500,000 how many people

would have their birthday

on the same day as yours?

bd cake

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!!

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4   How heavy is $500,000 dollars?

 money bag

Australia:

$ Aus

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

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UK:

UK [pound coin

.

Wt UK £1 coin = 9.5 g

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

= 4,750 kg = 4.75 tonne

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USA:

$ 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.

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

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5

How far would you walk in 500,000 steps?

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

step

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.

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6 049_tns6 bugatti-veyron-super-sports-480

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.

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7 A&E

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

kid counting

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!!!!!

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8gloom

 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.

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9m&ms

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

m&m kid

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

ranking_of_consumption_chocolate_2007

350 kg/ 5.18 kg

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

You better get going!!!!!

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10ablink

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!!!!

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Trick 9: The Mentalist Vs The Mathematician Slapdown

November 30, 2012

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Mentalist Vs Mathematician Slapdown

Requirements: A coin for each student & smart board or data projector.

First ask your students to toss a coin 10 times each.

Ask each student how many heads in a row they threw.

Now ask students ‘Do you think it is possible to throw 10 heads in a row?

It can be done. Here is how you do it.

Derren Brown is a UK mentalist, magician, hypnotist and maths guru. He’s awesome. He shows audiences how a lack of understanding maths, especially probability, leads to misinterpreting the facts.

Now play this video to the students:

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Trick 10: Math Mentalist Devises Foolproof Gambling System

November 30, 2012


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Math Mentalist Devises Foolproof Gambling System

Requirements: Smart board/Data Projector

or Chalk & Talk

This is the most awesome way to introduce probability.

Mentalist Derren Brown devises a foolproof gambling system. He sends a girl , Kadisha, the number of a winning horse in race to be run the next day. It wins. He sends her the winning horse and race number 4 more times. She ends up with winnings close to £ 1000 before the final race. Derren convinces her to borrow money for the last bet. She does. She places £4,000 on a horse. Did it win?????

Watch Part 5 of The System

 

 

If you are not convinced Derren Brown can come up with a foolproof system for horse race tipping, let me explain The System. He took 7,776 e-mail addresses, divided them into 6 equal groups and sent each group a different number for a horse in a 6 horse race to be run the next day. Naturally, one group of 1296 had been given the winning horse number.  This group was divided into 6 again and given the number of the ‘winning’ in a six horse race the next day and so on.

Race 1: 7776

Race 2: 1296

Race 3: 216

Race 4: 36

Race 5: 6

Out of 7776 punters, only one punter was given in advance five horse race winners in a row. Was it Kadisha. You will have to watch the Youtube above.

You can watch THE SYSTEM in full here. It takes 47 mins.

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

May 4, 2012

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.

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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.

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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