Category Archives: Recreational Math

Math Word of the Day: Bitcoin

The advent of cryptocurrencies like Bitcoin and Ether has provided math educators worldwide with fertile resources to indulge themselves in creative mathematical posing and solving.

Unfortunately, the negative perception that cryptocurrency or crypto is a vector for serious organized crime and money laundering has led millions of half-informed or risk-averse folks to adopt a wait-and-see attitude vis-à-vis Bitcoin transactions.

Who/What Is Satoshi Nakamoto?

Nobody knows the identity of Satoshi Nakamoto. If the name isn’t a he or she or it, could the name be a covert group of cryptographers and mathematicians?

Like the modern-day equivalent of the Bourbaki group—the collective pseudonym of a group of predominantly French mathematicians in the 1930s, who tried to axiomatize mathematics to make it more rigorous?

So far, the few suspects—digital-currency addict Nick Szabo, Japanese mathematician Shinichi Mochizuki, and Co.—all have denied being the founder of Bitcoin, except for Australian computer scientist who loudly but unprovenly claimed that he is Nakamoto.

Crypto Math

Posing fertile crypto math questions is only limited by our imagination. Thanks to Bitcoin or cryptocurrency, NFTs, and the Metaverse, I’ve toyed around with a number of crypto math questions.

Below are a sample of Bitcoin-related questions that I hope would make their way into a math booklet fit for publication in a-not-too-distant future.

  1. Bitcoins are divided into Satoshis: one hundred million Satoshis in each Bitcoin. At the current Bitcoin price, what fraction of a U.S. cent is worth the smallest fraction of a Bitcoin?
  2. In 2010, a pizza restaurant agreed to accept ten thousand Bitcoins in exchange for two large pizzas. At today’s exchange rate, how much would each pizza be worth?
  3. In September 2021, El Salvador approved Bitcoin as a secondary currency; in April 2022, Central African Republic followed suit. Which rogue or war-torn nation in Asia or the Middle East would be the first one to make Bitcoin its official currency? Or would it be “fine” city Singapore that would lead the way in becoming SE Asia’s crypto hub?
  1. Crypto Apocalypse: What are the odds that due to hyperinflation (or a possible WW3 in the aftermath of the senseless Ukraine-Russia war) people would start losing faith in Bitcoin to the point that it suffered the same fate as the Zimbabwean dollar bills?
  2. A golf resort is rumored to have been gifted with 13.257 ETH and 12.5 bitcoin from a Middle Eastern prince. How much did the shady resort receive in cash donation from their criminal donor?

Crypto Winter Is Coming!

With news of a crypto winter in the horizon, let’s hope that the mathematics of Bitcoin or cryptocurrency wouldn’t deter math educators globally from getting involved in creative mathematical thinking and problem solving.

I don’t know about you, but I’m waiting for Bitcoin to drop under $10,000 as my next buy alert. The future lies in Bitcoin—or in blockchain.

Richly yours

Continue reading Math Word of the Day: Bitcoin

Covid-19, Halloween, and Hell

Halloween in Singapore: To Spook or Not to Spook

 

For math-anxious or mathophobic folks, mathematics is more terrifying than being attacked by an army of vampires, werewolves, and zombies. For the health-conscious, Covid-19 is a thousand times deadlier than Halloween and Donald J. Trump combined. And for those on the far-left of the political spectrum, Trumpvirus is a googol times more lethal than the product of the coronavirus and Halloween. So, it looks like it depends what really matters to you to rationalize which is more frightening: Halloween, Covid-19, or Trump-45.

For conservatives or evangelicals, who recognize the dangers posed by the dark spiritual forces, Halloween is a festival of the devil, because ghosts or evil spirits are real and dangerous. How do math educators navigate through the occultic maze to leverage on a spookacular festival to promote numeracy and creative problem solving?

When Halloween is a multi-million-dollar fear-and-fun business in secular societies like China, Japan, and Singapore, math educators regardless of their religious affiliations have to recognize that Halloween is here to stay. 

Yellow Halloween

When Asians too feel like celebrating a Western fright-wear festival like Halloween—the spooky business worth millions of dollars is too good to give it a miss.

The yellow Halloween provides an opportunity for rich Chinese and Japanese participants to show off their creative elaborate costumes, bringing much joy to organizers and dozens of tailors cashing in on the event.

by MathPlus November 03, 2016

http://www.urbandictionary.com/define.php?term=Yellow+Halloween

Let's look at a sample of Halloween math questions.

1. A Horror Movie

Thou shalt not dabble in numerology!

The screening of Covid-19 v. Trump-45 ended at 1:19 AM. If the horror movie lasted for 1 hour 31 minutes, what time did it start?

 

 

 

A poster outside a Singapore bookstore

2. The Ghostly Time

What is the acute angle measure between the hands of a clock at 10:31 p.m. on Halloween?

 

 

 

 

 

3. Horror-scope & Bat-man

#PumpkinSpice from Edel Rodriguez (@edelstudio on 19/10/17)

Today is Friday, and Trump’s numerologist tells him that he will have to drink the blood of a bat 666 days from today to continue to lead a “normal life” after he leaves the White House. What day of the week is Donald expected to do that task?

 

 

4. TrumpMath, Anyone?

 

5. A Grave Calculation

Not all sins or bad habits are treated equal!

Assuming that most people would live up to three scores and ten years, how long will it take before the whole world is covered in gravestones?

 

 

 

 

 

6. Operation Vampire

The Power of the Cross

If a vampire were to feed once a day and turn each of his victims into a vampire, show that the entire human population of the planet would become vampires in just over a month.

The Ghost Month and Halloween

Long before the East imported Halloween from the West, superstitious Asians have been celebrating their one-month-long version of Halloween, known as the “Ghost (or Seventh) Month”—a far more scarier festival than a mere evening of horror fun.

My hypothesis is: Halloween is no more than one-seventh as frightening as the Ghost Month, a festival celebrated in many parts of Asia every August or September, depending when those spiritual vagabonds from hell decided to descend on earth.

The coronavirus pandemic and the Seventh Month provide math teachers with new math terms to coin, and allow them to pose a number of deadly guesstimation problems. Below are a few of these Covid-math terms.  


On August 8, 2020, @SingaporeLite tweeted the following:

Covid-👿

Corona Math: What are the odds that hungry ghosts from Hell who’d roam Earth during the Ghost or Seventh Month—Aug 19–Sep 16—are corona-proof? Besides instilling fear on superstitious folks, aren’t they also a source of infection? todayonline.com/node/8269421 #Singapore #Covid-19 👿🦠

The Deities & the Deceased  The Math of Hell: A politically correct explanation of the burning of hell money: Why the deities like odd numbers, and the deceased like even numbers. https://www.facebook.com/MothershipSG/videos/experts-explain-burning-offerings-in-singapore/336558850793421/ #Singapore #Taoism #hell #Buddhism #ghost #evil #spirit #Chinese #culture #tradition #fear #math #number (@SingaporeLite on 20/9/20)

On July 1, 2020, @SakamotoMath tweeted the following picture and text.

Happy Math-O-Ween! from @MrHonner

 

Corona Math: Given that the coronavirus is empowered to infect both earthlings and celestial beings, guesstimate the no. of infections among the fallen angels that colluded with Lucifer to challenge the Throne of God in the heavenlies. #Covid-19 #heaven #hell #angel #math #humor

Halloween vs. Coronavirus

Which is scarier to you: Halloween or Covid-19? How are you remembering those who would still be around if not because of the coronavirus? Is fake political leadership responsible for their premature departure to the other side of eternity? #Halloween #Covid-19 #death #leadership (@SakamotoMath on 30/10/20)

Covid-19 Goes Green

The coronavirus doesn’t discriminate against believers, nonbelievers, or agnostics—it infects or kills people of all religions or philosophies with the same intensity.

From Paranormal to Trumpnormal Distribution
Q: What do you get when you cross Covid-19 and Statistics? 

A: The Trumpnormal distribution.

 

A “ghost distribution” from @wilderlab

Political Engineering: Stop flattening and start trumpifying the curve to open up more businesses across the US—more testings and tracings don’t win an election! #statistics #coronavirus #Covid-19 #business #lockdown #distribution #Singapore #math #infection #death #curve #humor

Coronavirus’s Nineteen Names

Just as President Trump has been conferred so many notorious titles, the coronavirus has been given all kinds of racist labels.   

7. Not All Corona Prayers Are the Same!

A Shaolin Buddhist abbot can pray for a Covid-19 patient to be healed in 8 days and a Baptist bishop in 2 days. How long would it take them to get a patient who is twice as sick to fully recover, if both leaders prayed together?

 

Selected Answers: 1. 11:48 PM     2. 129.5°     3. Saturday     5. Over a million years     7. 3.2 days

References

Correl, G. (2015). The worrier’s guide to life. Missouri: Andrews McMeel Publishing.

Lloyd, J., Mitchinson, J. & Harkin, J. (2012). 1,227 QI facts to blow your socks off. London: Faber and Faber.

Santos, A. (2009). How many licks? Philadelphia: Running Press.

Singh, S. (2013). Homer Simpson’s scary maths problemshttps://www.bbc.com/news/magazine-24724635

Yan, K.C. (2012). Halloween Mathhttps://www.singaporemathplus.com/2012/10/halloween-math.html

© Yan Kow Cheong, October 31, 2020.

© Photo by Gemma Correl

The Mathematics of Trump and Kim

Even if math educators are politically apathetic or have near-zero interest in world politics, they can’t discount lightly the irrational thoughts, words, and actions of President Trump and Chairman Kim, because the very presence of these two world “leaders” is two too many—the world is far less secure with these two fellows around, especially when at the push of a nuclear button, millions of innocent civilians would be heading to the other side of eternity sooner than later.

Below are two irreverent entries that were approved by the Urban Dictionary editors about Trump and Kim.

Being neither a mathematician nor a politician, I’d be the most unqualified “math educator” to hypothesize how numerate or “logical” or rational these two disruptive politicians are. However, my educational hypothesis about math education in both North Korea and the US is that North Korea Math is probably less inch-deep-mile-wide than US Math.

On January 2, 2013, I tweeted in tongue-in-cheek the following:

If North Korea were to take part in TIMSS, would it be a surprise if its K–12 #math students outperform their counterparts in the US? #TIMSS

If we factor in the educational budget of each participating country in TIMSS and their local teachers’ limited resources, a politically incorrect ranking would probably look as follows:

There are no ranking errors: Singapore isn’t in the top ten (with or without private tuition).

The Rocket Man and the Mentally Deranged US Dotard

Edelman Rodriguez’s “Play Date” @edelstudio (12/6/18)

Which “political unthinking” is more dangerous: “Think like Kim” or “Think like Trump”? Who is a more unpredictable or deadly bully? Is “Fatty Kim the Third“—a derogatory term for the well-fed dictator whose own people are starving in the millions—a mere toothless bully vis-à-vis his American counterpart?

Having zero mercy for your political foes, by torturing them and their family members; and poisoning, hanging, or murdering your siblings and relatives, who you suspect are against you.

Or, tweeting and taunting illegal immigrants, radical Islamists, and the LGBT community, which tends to trigger symptoms of insomnia, irrational fear, anxiety, depression, and trauma—the so-called Trump Stress Disorder (TSD)—which unconfirmed reports suggest that they’re more likely to die sooner of heart attack, or to be victims of racial or ethnic persecution.

Kim’s Digital Murder

Below is a quick-and-dirty e-card I tweeted on August 5, 2018 on dictator-murderer Kim, who had his army of hackers or digital terrorists use Photoshop to “digitally murder” his uncle.

If Kim Jong-Un were a radical Muslim-convert, North Korea could become ISIS’s new HQ! #politics #war some.ly/dCh7Y7b

Mathematical Intercourse between Trump and Kim

Another half-baked mathematical e-card I made and tweeted during the Trump-Kim tête-à-tête in Singapore is the following:

 

 

 

 

 

 

 

 

On a nonmathematical note,

and the question is: What do you get if you cross a Trump with a Kim?

and the answer is: Nothing. You can't cross a dictator with a murderer.

Or, on a mathematical note,

and the question is: What do you get if you cross a mosquito Kim with an overweight Trump?

and the answer is: Nothing. You can't cross a vector with a scalar.
Bromance of Two Dictators

Singapore as the political matchmaker.

Trump claimed that he and Kim “fell in love” after exchanging letters—it sounds like two egomaniacs trying to outwit each other with their insincere sweet words, by stroking each other’s fragile ego.

Trump-Putin, Trump-Xi, Trump-Sisi, Trump-Erdogan, and now Trump-Kim. It appears that dictators do attract each other! A political hypothesis math educators pursuing a PhD in math education might wish to test is: Dictatorship is quadratic!

From Dictator Putin to Emperor Xi to soon-to-be Pharaoh Sisi, Tweeter-in-Chief or Pinocchio-in-Chief Trump, all these power-hungry men have no limits to controlling more yes-men and yes-women, while expecting blind obedience—those who don’t toe the line are likely to be fired prematurely.

In Trump & Kim We Trust

The Symbolic Trump-Kim Meeting in Singapore

Last June, the Singapore government forked out a wallet-unfriendly $20 million to hold the symbolic meeting between President Trump and Chairman Kim.

A Political Math exercise I tweeted then was: Guesstimate how much on average each taxpayer in Singapore “contributed” to footing the $20 million bill for the Trump-Kim meeting. bit.ly/2sVT6jG

Fire and Fury on Kim and His Gang of Killers

@juche_school1

Unlike his dictatorial and murderous grandfather and father who had longed to meeting a US President while they’re still alive, Kim Jong-un is the luckiest of the unholy trinity in finding a “good friend” in Donald Trump.

Political pundits think that North Korea needs more than trade sanctions for its nuclear and missile programs and the threat they pose to the world. A regime change to deliver North Koreans from the tyranny of the Kim dynasty ought to be in the political pipeline.

Thou Shalt Not Impersonate Thy Leader

Two dictators who dream of the Nobel Peace Prize.
  Photo ©BBC & Ed Jones/Getty

Unlike Vietnam which tries to threaten Trump and Kim impersonators to stop their “mocking acts,” it’s rather surprising that Singapore didn’t ban these pseudo-tyrants from walking around in town to have some political fun with both locals and tourists.

 

Abel & Cain 4.0

Thou shalt not kill thy brother.

On the right is an e-card I wrote and tweeted around the time when Kim Jong Un wanted so badly to exterminate his half-brother, Kim Jong Nam.

And below is an approved entry I contributed on “Kim Jong-un and Kim Jong-nam,” which could no longer be publicly accessed online:

Kim Jong-un and Kim Jong-nam

The modern-day version of the biblical Abel and Cain, with the chances of the two Kims not meeting their late father and grandfather in hell near to zero.

Brothers-rivals Kim Jong-un and Kim Jong-nam serve as ideal plot characters for a Korean spy movie.

Maybe Kim’s hackers felt that the days of its publication should be numbered.

Obama vs. Kim

Unlike a dozen-odd mean tweets on Trump and Kim, any entries on Obama and Kim were in short supply. One I tweeted about them in 2014 in the aftermath of a racist comment on President Obama is the following:

An Unrighteous Deed, Indeed

If Obama is like a "monkey in a tropical forest," then Kim Jong-un must be a "fat pig in Siberia." #North-Korea (@MathPlus on 27/12/14)
Politico-Mathematica à la Singapour

Below are some politically incorrect “political math” questions that teachers could creatively tweak to pitch to their oft-politically challenged students, by conveying the message that math and politics do mix.

1. Parallelism between Two Irrational Personalities

List a dozen parallels between President Trump and Chairman Kim.

For example, Trump and Kim each have been conferred with high-sounding titles for their “contributions” to mankind.

Please call me “Dr. President Trump.”

2. Modeling with Trump and Kim

(a) Trump’s Tweets—Firing by Twitter

Model President Trump’s tweets, which provide a rich source of comedy, into a little juicy formula, which would predict his tweet-before-you-think posts in coming years (assuming that he would still be allowed to tweet behind bars should he be convicted for some political or business collusion with foreign powers).

(b) Kim’s Murders—Murder by Numbers

Formulate a “wicked algorithm” that would guesstimate the number of political critics or foes the Kim dynasty had ordered to be imprisoned, tortured, or killed every year since the Korean War.

3. [Fake] Nobel Prize Winners

What are the odds that the Tweeter-in-Chief and the Murderer-in-Chief might share the coveted the Nobel Peace Prize, if their peaceful actions are perceived to help avert World War III, which could irrationally or maniacally be triggered by pressing their nuclear button?

If someone like Yassir Arafat, who supported terrorism against Israel, could win a Nobel Prize, it’s not far-fetched that both Trump and Kim might be “honored” for fakely bringing world peace to an already-violent world, made insecure by radical Islamists.

4. Political Math

Below are some politico-mathematica questions I posted in recent months.

(a) Political Math: Guesstimate how many false or misleading claims Donald Trump will make by the time he leaves the White House in 2020 (or earlier if he is impeached and imprisoned)—7546 white lies in 700 days. #Singapore #math #politics #estimation #humor (@MathPlus on 30/12/18)
(b) Political Math: Which event has the higher odds of ever happening: Donald Trump winning the Nobel Peace Prize or being canonized as “Saint Trump”? If Arafat can win it, so can Trump! bit.ly/2IwDuP1 #Vatican #peace #sainthood #North-Korea #Singapore #math #miracle #humor (@MathPlus on 18/2/19)
(c) Political Math: What are the odds that if we had had President Hillary Clinton instead of President Donald Trump, she too would have fired the ex-FBI director James Comey, and that her opponents would now be calling for her impeachment and prosecution? #politics #math #hypocrisy (@MathPlus on 3/1/19)

How Trump Does Calculus

(d) Political Math: What are the odds that President Trump would not seek re-election in November 2020 in the aftermath of his impeachment by the House for colluding with Putin and gang? #statistics #SingaporeMath #math #odds #collusion #election #politics #Trump #Putin #humor (@MathPlus on 30/11/18)

5. Murderous Math

Here are some deadly math toughies that may not be apt for politically or religiously immature souls. Caution: Arm yourself, if need be, if you feel that you may be a victim of some form of “mathematical rebellion” from your hostile audience, who may be on a different political or spiritual wavelength as you.

(a) Murderous Singapore Math: What are the odds that there would be a coup in North Korea when Dictator Kim traveled to Hanoi for another symbolic meeting with President Trump? Is China, Iran, Syria, Russia, or Venezuela keen to take him?
Murderous Zeros: If filthy rich Saudis can buy a morally bankrupt fellow like Donald Trump to keep his silence, guesstimate how many “loyal zeros” he is worth to his murderers. #Khashoggi #MBS #murder #guesstimation #math (@Zero_Math on 21/11/18)
Murderous Math: A World Without North Korea—What are the chances that in the aftermath of a North Korean nuclear attack on the US, the Kim dynasty would cease to exist (as the US and allies retaliate to wipe out North Korea from the map)? #war #North-Korea #apocalypse #math (@Zero_Math on 6/12/18)

6. Food & Dog Diplomacy

(a) Singapore Math: What are the chances that North Korea might have a McDonald franchise before having a US embassy? #McKim #humor (@MathPlus on 15/8/17)

McKim was approved on July 13, 2017, and had since been probably “hijacked” by the hackers of the guardian deity of planet Earth.

McKim

The local burger McDonald plans to offer to middle-class North Koreans once Dictator Kim Jong Un and gang give them the green light to operate their first outlet in Pyongyang.

The Trump camp thinks that food diplomacy may be a first step to getting the Kim dictatorship to give up its nuclearization program—they've secretly approached McDonald to come up with a North Korean recipe for McKim.

(b) Dog Diplomacy: Chinese Communists give pandas; North Korean Communists give dogs. bbc.co.uk/news/world-asi… #politics #North-Korea #Communism (@MathPlus on 26/11/18)

(c) Faith in god Kim

Kim’s likely promise to Trump: “I want to denuclearize”—as the sanctions hurt and my dynasty must prevail. But like China, Iran, and Russia, where lying and cheating are in their DNA, can the world trust North Korea & the Kim dynasty? #Singapore #politics (@Zero_Math on 10/6/18)

God Has the Final Say in Trump’s Destiny—Not Men or CNN

Let me end on a positive note on how I re-christened or re-defined “President Trump” on 9/11, the date when he’s miraculously elected in 2016.

How God used an ungodly man to effect political change.

Bibliography & References

Monti, R. A. (2018). Donald Trump in 100 facts. UK: Amberley Publishing.

Pater, R. (2016). The politics of design. Amsterdam: BIS Publishers.

Defector: Kim Jong Un ordered execution by flamethrower https://www.cnn.com/videos/world/2019/02/22/north-korea-defectors-todd-pkg-tsr-vpx.cnn

Vietnam deports Kim Jong-un impersonator ahead of summit http://www.bbc.co.uk/news/world-asia-47354761

Vietnam detains impersonators of Kim Jong Un and Trump http://www.bbc.co.uk/news/world-asia-47337945

Vietnamese barber marks summit with free Trump-Kim haircuts http://bit.ly/2tu4Rij

Trump-Kim T-shirts hottest item ahead of Hanoi summit as shops cash in http://bit.ly/2EveqDV

Jim Carrey targets Trump with blunt political cartoons https://www.cnn.com/style/article/jim-carrey-trump-political-cartoons/index.html

© Yan Kow Cheong, February 27, 2019.

A Creative & Disruptive Math Title Coming Your Way*

*Agents keen to represent publishers confident enough to sell an obscene number of If Trump Were Your Math Teacher could contact K C Yan at his e-mail coordinates. A trumpillion thanks!

Pi Day in Singapore

Thousands of students around the world celebrate Pi Day today, but local math students in Singapore can only dream of being part of this annual mathematical event. Singapore math students, teachers, and parents don’t (and can’t) celebrate Pi Day, as long as they officially follow the British style of writing their dates (DD/MM/YY).

What makes matters worse is that this year, Pi Day falls on the first day of the one-week school break, which makes it almost impossible for hardcore math teachers, who want to buck the calendrical trend, to get their students excited about the properties and beauties of the number Pi.

Until Singapore switches to the American style of writing dates (MM/DD/YY), which may not happen, at least during my lifetime, however, this shouldn’t prevent us from evangelizing the gospel of Pi among the local student population.

Here are seven e-gifts of the holy Pi, which I started musing about 314 minutes ago on this Pi Day.

Pi Day vs. Abacus Day

  

A 14-Month Year for Singapore ONLY!

  

Where Are You in Pi?

  

Heavenly Pi

  

The Numerology (or Pseudoscience) of Pi

  

In Remembrace of the Late Singapore PM 

  

Biblical Pi vs. Mathematical Pi

   

Happy Pi Day!

© Yan Kow Cheong, March 14, 2016.

The 12 Problems of CHRISTmaths

Vintage Christmas—Just like Baby Jesus two millennia ago! Vintage Christmas—Just like Baby Jesus two millennia ago!

Christmas is a golden and joyful opportunity for number enthusiasts and math geeks to sharpen their creative mathematical problem-solving skills.

Here are 12 CHRISTmaths cookies that may help you shake your brain a little bit in the midst of Christmas festivities.

Warning: Refrain from forwarding this post to relatives or friends living in countries, which are intolerant of Christmas and Christianity, such as Brunei, Saudi Arabia, and Somalia, as it’s haram for “infidels” to take part in any kind of Christmas celebrations. And I assume that includes reading any on-line materials deemed un-Islamic or un-Mohammedan, which might lead believers astray from the faith.

1. Unlucky Turkeys

Estimate the number of turkeys that make their way to the supermarkets every year.

2. A Xmas Candy

Mary wanted to buy a candy that costs 25 cents. A dated vending machine would take one-cent, five-cent, and ten-cent coins in any combination. How many different ways can she use the coins to pay for the candy?

Christmastize your code!Remember to scan your Christmas item!

3. The Dimensions of a  Cross

A square of side 25 cm has four of its corners cut off to form a cross. What is the perimeter of the cross?

4. The Number of Crossings

Two lines can cross one time, three lines three times, four lines six times, and five lines ten times. If there are 25 lines, what would be the maximum number of crossings be?

5. An Eco-Xmas

If all instances of the word “CHRISTMAS” were replaced with “XMAS,” how much ink and paper (or Xmas trees) could you save every year? How much money could be channelled back to feeding the poor and the hungry during the festive season?

XMaths Tech© T. Gauld’s You’re all just jealous of my jetpack (2013)

6. Number of Xmas Cards

In an age of Xmas e-cards and video cards, how many Christmas greetings cards are still being sent worldwide? How many trees are being saved every festive season?

7. Does Xmas! have 25 digits?

1! = 1, 2! = 1 × 2 = 2, 5! = 1 × 2 × 3 × 4 × 5 = 120—a 3-digit number, and 10! = 1 × 2 ×⋯× 10 = 3,628,800—a 7-digit number.

(a) Without a calculator, how would you verify whether the number 25! has precisely 25 digits or not.

(b) Which positive integers n (other than the trivial case n = 1) for which n! has exactly n digits?

GST with no thanks to Father XmasGST (or VAT) with no thanks to Father Xmas

8. Xmas Trees

Guesstimate how big a forest would 25 million Christmas trees occupy.

9. Folding papers

Fold a single piece of paper perfectly in half, from left to right. How many creases will there be after the 25th fold, when you continue folding so that all the rectangles are folded into two halves each time?

10. Pre-Xmas Tax

Imagine Singapore were to implement a pre-Christmas tax on all kinds of Christmas marketing before the first week of December. Estimate how many extra million dollars would the Income Tax department collect every festive season.

Folding a Santa Claus© Anonymous Folding a Santa Claus

11. A Xmas Quickie or Toughie

What is the sum of the last two digits of 1! + 2! + 3! +⋯+ 24! + 25!?

12. An Ever-Early Xmas

Show that as one celebrates more and more Christmases (or, as one gets older and wiser), Christmas seems to come earlier every year.

Xmas Möbius Strips Christmas Möbius Strips

References

Gould T. (2013). You’re all just jealous of my jetpack. New York: Drawn & Quarterly.

Yan, K.C. (2011). Christmaths: A creative problem solving math book. Singapore: MathPlus Publishing.

Zettwoch, D., Huizenga, J., May, T. & Weaver, R. (2013). Amazing facts… & beyond! with Leon Beyond. Minneapolis: Uncivilized Books.

A Xmas Bonus: 25 CHRISTmaths Toughies from Singapore ?? http://tinyurl.com/q9w3ne9

 

Selected Hints & Answers

2. 12 ways. Hint: Make an organized list.

3. 100 cm. 

4. 300 crossings.

5. About 30 million gallons of ink, 500 square miles of paper, and $15 trillion could be saved.

6. Hint.

7. (b) n = 22, 23, 24.

9. 225 – 1.

11. 4.

12. Hint: Why as one gets older, time appears to fly faster.

2012-12-21 23.13.28

© Yan Kow Cheong, December 25, 2015.

 

Anything Funny about Singapore Math?

Math educators, especially stressed [often self-inflicted] local teachers in Singapore, are always on the look-out for something funny or humorous to spice up their oft-boring math lessons. At least, this is the general feeling I get when I meet up with fellow teachers, who seem to be short of fertile resources; however, most are dead serious to do whatever it takes to make their teaching lessons fun and memorable.

20140421-203849.jpg
© Sidney Harris Sea animals are mathematical, too!

It’s often said that local Singapore math teachers are the world’s most hardworking (and arguably the world’s “most qualified” as well)—apparently, they teach the most number of hours, as compared with their peers in other countries—but for the majority of them, their drill-and-kill lessons are boring like a piece of wood. It’s as if the part of their brain responsible for creativity and fun had long been atrophied. A large number of them look like their enthusiasm for the subject have extinguished decades ago, and teaching math until their last paycheck seems like a decent job to paying the mortgages and to pampering themselves with one or two dear overseas trips every other year with their loved ones.

Indeed, Singapore math has never been known to be interesting, fun, or creative, at least this is the canned perception of thousands of local math teachers and tutors—they just want to over-prepare their students to be exam-smart and to score well. The task of educating their students to love or appreciate the beauty and power of the subject is often relegated to outsiders (enrichment and olympiad math trainers), who supposedly have more time to enrich their students with their extra-mathematical activities.

Singapore Math via Humor

20140421-203921.jpg
© Sidney Harris The lost art of Roman numerals

A prisoner of war in World War II, Sidney Harris is one of the few artists who seems to have got a good grasp of math and science. While school math may not be funny, math needn’t be serious for the rest of us, who may not tell the difference between mathematical writing and mathematics writing, or between ratio and proportion. Let Sidney Harris show you why a lot of things about serious math are dead funny. Mathematicians tend to take themselves very seriously, which is itself a funny thing, but S. Harris shows us through his cartoons how these symbol-minded men and women are a funny awful lot.

Angel: “I’m beginning to understand eternity, but infinity is still beyond me.”

20140421-203941.jpg© Sidney Harris There is nothing new under the mathematical sun!

20140421-204019.jpg
© Sidney Harris Isn’t mathematics just a man-made game?

20140421-204119.jpg© Sidney Harris The world’s first “mathematical plagiarizer”
20140421-204146.jpg© Sidney Harris The aftermath of Pi addiction
20140421-204413.jpg© Sidney Harris Maybe we’d soon spot some bunnies running around!
20140421-204454.jpg© Sidney Harris Some step just needs to be accepted on faith!
20140421-204714.jpg© Sidney Harris Who says mathematicians don’t need drugs?

Mathematical humor is a serious (and dangerous) business, which few want to invest their time in, because it often requires an indecent number of man- or woman-hours to put their grey matter to work in order to produce something even half-decently original or creative. The choice is yours: mediocrity or creativity?

Humorously and irreverently yours

References
Adams, D. S. (2014). Lab math. New York: Cold Spring Harbor Laboratory Press.
Harris, S. (1970). What’s so funny about science? Los Altos, Ca.: Wm. Kaufmann, Inc.

© Yan Kow Cheong, August 20, 2015.

Check out an inexpensive (but risky) way to make a Singapore math lesson less boring: The Use of Humor in Mathematics. The author would be glad to visit local schools and tuition centers to conduct in-service three-hour math courses for fellow primary and secondary math teachers, who long to bring some humor to their everyday mathematical classrooms—as part of their annual 100 hours professional upgrading. Please use his e-mail coordinates on the Contact page.

Number Patterns on Social Media

If you had been on Facebook for some time, it’s very likely that you would have come across a certain type of numbers puzzles streaming your feed. Clearly, they’re not quite the typical numerical puzzles that often appear in school math books; rather, they’re closer to the types of questions posed in aptitude or IQ tests. One such number puzzle is the following.

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Unlike in textbooks that often present these logic puzzles in an uninteresting way, by seeing these colorful number puzzles on Facebook or Pinterest, and being hinted that only a small percent of the problem solvers apparently managed to get the correct answer, this entices readers to give it a try to see how well they’ll fare vis-à-vis their oft-mathematically challenged Facebook friends. Here’s another such number puzzle.

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Arguably, these numbers-and-words puzzles have a certain charm to it, because they often require just simple logic to solving them, unlike similar brainteasers that may require some knowledge of elementary or middle-school math. What about the following Facebook numerical puzzle?

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What is 1 + 1?

What do you make of this one?

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If these on-line numbers puzzles indirectly help promote logic and number sense among math-anxious social-media addicts; and along the way, provide them with some fun and entertainment, let’s have more of them in cyberspace!

Let me leave you with half a dozen of these numerical puzzles, stolen from my Facebook feed. Note that these types of brain-unfriendly math or logic questions may have more than one mathematically or logically valid answer, depending on the rule or formula you use—they serve as numerical catalysts for promoting creative thinking in mathematics.

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Happy Creative Problem Solving!

© Yan Kow Cheong, June 12, 2014.

Some Fun with Stewart Francis’s Puns

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www.cafepress.com

In my formative years, I don’t recall any elementary school teachers sharing some mathematical puns with us. I suppose that the arithmetic of yesteryear was often taught in the most uninteresting way by many who probably didn’t look forward to teaching it to a bunch of noisy kids.

Recently, while reading Stewart Francis’s Pun direction: Over 500 of his greatest gags…and four crap ones!,  I came across a number of numerical puns that might even be appreciated by some nerdy seven-year-olds. Stewart Francis is considered to be the best Canadian comedian from Southern Ontario. Here are two dozen odd math-related puns I’ve stolen from his punny book. Hope you enjoy them!

The number of twins being born has doubled.

They also stole my calculator,
which doesn’t add up.

Four out of ten people are used in surveys. Six are not.

Crime in lifts is on the rise.

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“QED Gravestone Small Poster” www.cafepress.com

I recently overcame my fear of calculators
It was a twelve-step program.

Women are attracted to foreign men. I’ve heard that at least uno, dos, tres times.

All seventeen of my doctors say I have an addictive personality.

There’s a slim chance my sister’s anorexic.

Truthfully, we met at a chess match, where she made the first move.

Is my wife dissatisfied with my body? A tiny part of me says yes.

I read that ten out of two people are dyslexic.

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From: wherethepunis.com

They now have a website for stutterers, it’s
wwwdotwwwdotwwwdotwwwdotdotdot.

I have mixed race parents, my father prefers the 100 metres.

I’m the youngest of three, my parents are both older.

Clichés are a dime a dozen.

I’m an underachiever 24-6.

I used to recycle calendars.
Those were the days.

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www.cafepress.com

I’ve learned two things in life.
The second, is to never cut corners.

‘Any man who lives his life in accordance to a book is a fool.’
Luke 317

I can say ‘No one likes a show off’ in forty-three languages.

I was once late because of
high-fiving a centipede.

Of the twenty-seven
students in my maths class,
I was the only one who failed.
What are the odds of that, one
in a million?

I’ve met some cynical people
in my twenty-eight years.

I was good at history.
Wait a minute, no, no I wasn’t.

I was terrible at school. I failed
maths so many times, I can’t even
count.

Reference
Francis, S. (2913). Pun direction: Over 500 of his greatest gags…and four crap ones! London: Headline Publishing Group.

© Yan Kow Cheong, March 19, 2014.

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