Posts Tagged ‘challenge’

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The Rolling Coin Paradox that drove me Crazy!

February 27, 2026

Consider the example of the coin rolling around a coin of the same size. Intuitively we think …’OK. Same circumference, so the coin will rotate once as it rolls around a same-size coin. But this doesn’t happen. It rotates twice.

TWICE!

This observation is SOOOOOOOO counterintuitive we have to know why?

Why?

The answer is interesting. The relevant point in the ROLLING COIN PARADOX is the centre of the rolling coin. The rolling coin rotates about that point. And that centre (the red dot in the gif below) moves through a circle twice the circumference of the stationary coin. It is much easier to understand when you see it. (Below)

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You vs Jannik Sinner: USA OPEN FINAL. METRIC

September 6, 2025

USA units post here.

Could you return SINNER’S serve? Do the maths!!!!!!

The ball leaves Sinner’s racket and hits the ground 0.31 secs later.

Go here to see why this simplified calculation works! 

YOUR REACTION TIME Calculators
1. Human Bench Mark here

Mathspig reaction time = 351 milliseconds

2. Just Park here

Mathspig reaction time = 565 milliseconds

3. Washington Edu Reaction Test here

Mathspig reaction time = 0.371 seconds

Convert Millisecnds to Seconds

Mathspig’s best, best, best reaction time = O.351 sec

Yannik Sinner’s Serve hits the court 0.31 seconds after leaving his racket.

The fastest serve EVER was delivered by Australian Sam Groth @ 263 kph.

That serve takes 0.25 sec to land on the other side of the court.

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Zombie MathZ 5: Zombie Trigonometry

June 7, 2025

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Fun Math: Use Google Maps to find streets with Mathsy Names

December 20, 2024

0 SOLUTION DRsign post

Reading Undiluted Hocus-Pocus, the autobiography of Martin Gardener, mathematician and magician (He wrote the puzzle column for scientific America for years), Mathspig was bemused to read that statistician William Feller lived on Random Road in Princeton.

Mathspig totally confused Google Maps by searching for so many Maths streets, roads, drives, lanes and crescents. Mr Google began to think Mathspig was stuck on Infinity Street or lost at Cartesian Place.

What place boasts the most mathematical street names in the world (so far):

1. Paris

There are nearly 100 Parisian streets, squares, boulevards etc. named after mathematicians and not necessarily French mathematicians.

1 paris

 

Street names include:

Rue Laplace

Rue Bernoulli

Rue Newton

2 Rue Fourier_2

There is, surprisingly, no street named after Fourier in Paris. But the street on which he was born in Auxerre has been renamed after this great mathematician.

.

2. Salisbury, South Australia

Surprisingly, the most ‘mathsy’ place Mathspig has discovered so far is an outer suburb of Adelaide, south Australia. Maths street names include:

3. Salisbury SA

Equation Rd

Parallell Ave

Chord Rd

Log Rd

Tangent Ave

Quadrant Ave      

Meridian Rd

Degree Rd

Decimal Rd

Latitude Rd

Co-ordinate RD

Fibonacci in Budafest Not by name, by design.

Fibonacci in Budafest
Not by name, by design.

3. New York, NY, USA

You can’t get lost in New York. It is a grid city.

5. New York

Eg. 812 East 23rd St means No. 12, block 8 East of Broadway.

6. sine curve road

There is a Sine Rd in Auburn New York,

but it’s not this one. Pity!

Here is a fun Maths exercise to get Middle School students thinking about maths.

Maths Street Challenge

…………………………………………………………………………………

Ans. 1. Massey, NZ. 2. TRIANGLE. 3. State Ave 4. 0.7 miles, 1.1 km. 5. It has 3 right angles 6. 0.4 miles, 0.6 km. 7. No. The triangle is not a right angle triangle. 8. David W Carter Hight School) 9. Only 2 ARITHMETIC CR, Landon, SC and ARITHMETIC Dr, Salem, MA. 10. O.4 miles, 0.6 km.

Advance Maths St Challenge 

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The Biggest Math Problem: Not Stupid, lazy!

August 22, 2024

Not stupid. Just, like, lazy.

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 chocolate bars at 50 cents each and, for fun, ask the shop assistant ‘how much?’

K-ching!

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.

Leigh Thomas, REUTERS reported (6 Dec, 2023) ‘On average across the OECD, one out of four 15-year-olds tested as a low performer in maths, reading and science, which means they could not use basic algorithms or interpret simple texts, the study found.’

But where you live in the world counts, right?

Yeah! But Who Cares? ….

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

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.

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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Best Ever Fun with Algebra

February 26, 2024

Mathspig gravity plane

We all know about gravity. We worry about gravity.

GRAVITY CHALLENGE

If someone holds a pen in your hand like the gif below, then drops it,

I bet, if you keep your hand in the one position, that you can’t grab it!!!!

The maths is soooo beautiful.

www.GIFCreator.me_OLwVWU

All objects and bodies drop at the same rate of acceleration, g = 9.8 m/sec2

d = distance travelled by falling object (m)

t = time taken (sec)

pen drop formula 1

pen drop formula 2

You can test your reaction time on THE REACTION TIME CLOCK HERE.

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The Cool Mathematics of Paper Planes

February 7, 2024

Mathspigs. You won’t believe this.

Takuo-Toda_Gizmodo site  Takuo Toda, a Japanese Engineer, broke the world record for the longest flight for a paper plane again when his 10cm long plane stayed in the air for  29.2 seconds. 

Scientists take paper plane design seriously. Here are some experiments involving the release of paper planes from high altitudes

Let’s Make Some Cool Paper Planes 

Origami F-16 Fighter Plane

Classic Paper Plane

10 Paper Airplanes

For more clear instructions try the 10 Paper Airplanes page

Paper planes include The Dart, The Moth and The Bat. The website also has games to play with paper planes.

Here is the very cool  Custom:

 

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The Most Amazing Math Discovery of 2023: Einstein’s Hat

January 3, 2024

The Einstein or the Einstein Tile was discovered this year. It is an asymmetrical shape that can cover any flat area in a non-repeating pattern.

Its mathematical name is ‘an aperiodic monotile’. 

From Scientific American

David Smith, a maths hobbyist, discovered it this year, and named it ‘the Hat’. The Red tile above shows why he called it ‘the hat’.

Mathematicians know a lot about periodic monotiles and the patterns produced by tessellating shapes such as squares on a chessboard or hexagons in a patchwork quilt (below).

But an ‘aperiodic monotile’ producing a non-repeating pattern is rare. This could be the simplest example ever discovered. The monotile is called ‘the hat’ or ‘the Einstein’. Obviously, it should be called Einstein’s Hat. (Below)

Eintsein 1920

Meanwhile, the National Museum of Mathematics (MoMath) in New York and the United Kingdom Mathematics Trust (UKMT) in London became so excited about this discovery, they ran a competition asking members of the public to submit creations using Einstein’s Hat. A panel of judges assessed 245 submissions from 32 countries.

Here are some of the submissions highlighted in an article by Siobhan Roberts in the New York Times ( What Can You Do With an Einstein?,10 DEC 2023):

Evan Brock,  31, Product Designer from Toronto took out one prize with his Einstein’s Hat Ravioli.

Garnet Frost, 70, of London made a 24-foot frieze with 1,500 ceramic tiles.

Nancy Clark, 11, of London, made an Einstein’s Hat hat.

What could you make?

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5. You can jump out of an airplane that is about to crash and catch the baddie who took the last parachute.

May 24, 2023

 The names Bond, James Bond. In Moonraker  with Roger Moore (1979) 007 jumps out of a plane without a parachute to avoid an assassination attempt. He catches up with, Jaws, arch-baddie, in mid-air and takes his parachute. Jaws survives his fall by landing on a big top circus tent.

In Point Break with FBI agent Johnny Utah, Keanu Reeves, leaps from a skydiving plane after Patrick Swayzes’ characer, Bohdi, who has taken the last parachute. Utah catches Bohdi in mid-air, and after a tense confrontation with a gun, both survive using Bodhi’s chute. The remake was in 2015.

There are more movie and real life stories at the  Free Fall Maths link.

Note: We’ll assume Bhodi and Utah have equal horizontal velocities (plane exit velocity plus wind) so the following calculations only involve the vertical or falling velocity. The terminal velocities used for Bhodi and Utah are realistic estimates. 

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6. If the pilot dies the control tower can talk you down.

May 22, 2023

So mathpigs, here is a small taste of what you would need to do to land a small aircraft in an emergency if the pilot is unconscious/dead.

A = Airspeed

Find airspeed indicator on instrument panel.

Instrument Panel Piper PA-28

Check speed.

Knots or mph or kph?

Avoid red zone. Too fast.

Knots outer scale. mph inner scale. Recommended velocity between blue & red.

B = Contact nearest air traffic controllers. 

1. Call MayDay MayDay MayDay

2.  Look for plane ID. It will be on instrument panel somewhere.

3. Check fuel.

On the Piper Cherokee there are 2 fuel tanks, R & L. Check both.

Check aircraft operating handbook to see fuel consumption and remaining time in air.

Quick calc.

 

C = Checklist

Follow Emergency Landing Checklist in aircraft operating handbook for Power OFF or Power ON landing.

Keep in mind, if your air speed is too low you can drop from air, but the higher the landing speed the bigger crash.

Crash energy increases with the square of speed. It’s a parabola!!!!!

The likelihood of a passenger with

NO flying experience landing a plane safely in an emergency is

very small.

The likelihood of a passenger with

NO MATHS skills landing a plane safely in an emergency is

ZERO.