Car Owner’s Puzzles

Can a specific subject provokes interest to Math?

For example, cars. How much does the gas cost in a month? What speed to choose? When do I need to change the tires? How to be on time? How much do I pay for a car during its life? . . .

 

What are other intersting subjects? Finance? Love? Sport?

Advertisements

Estimate or Calculate?

” in the real world, we constantly settle for estimates, whereas mathematics — see the SAT — demands that you get the answer precisely right.” – Andrew Hacker in The New York Times article “The Wrong Way We Teach Math

 

boy sitting on money, money concept

Estimate or Calculate?

My answer is one of them and do it fast.

Betting Math

Leslie Green’s Casino Problem

A bunch of Physicists, fresh from College, go to their local casino with plans to profit with their advanced gaming strategiesCasino Roulette - 3d render for Roulette. They have chosen a Roulette game where there are 36 numbers from 1 to 36, alternately colored black and red. There is only one green slot, which is usual in Europe but unusual in the USA. When the ball lands in the green slot, 0, all bets are lost to the House.

All participants place 223 bets. Each bet pays out at 1/1 odds, meaning you get your bet back plus an equal amount of winnings.

John bets only on RED, and only immediately after a run of 3 reds.

Sally bets only on EVEN, but only after the sequence ODD, ODD, EVEN, ODD.

Peter looks for a run of 8 events, either all ODD, all EVEN, all RED or all BLACK. He then bets against this run continuing.

At the end of the 223 bets, who is the most likely to have won?

Leslie Green’s Sports Betting Problem

736The all-male under-10 football team, the Hunky Heroes, are playing the all-girl under-12 football team, the Girly Girls. I am facilitating the betting, although this may not be strictly legal in all jurisdictions.

Buddy and his friends have put a total of $200 on the favorites, the Hunky Heroes, to win. If they win I have to pay out a total of $3 for every $2 placed.

Samantha and her friends have put a total of $50 on the Girly Girls to win. If they win I will pay out a total of $6 for each dollar placed. (Some people would call this 5/1 odds, where you win $5 for each dollar placed AND you get your $1 bet back).

Some of the parents have individually placed a total of $100 on a draw. In this case I pay out a total of $3 for each dollar placed.

Who has the greatest chance of winning?

Casino Statistics

In a casino on a Sunday,  90% of the visitors lost $200 each, # 9% of the visitors lost $1,000 each, and # the rest won $10,000 each. # If the profit of the casino is $340,000, how many people visited the casino?

The answer

Bankrupt Business

Jane and Gerry visit a casino. In one game, they have a 1/5 probability of winning $100 and 1/2 probability of losing $50. They have also a chance of no win / no loss. What is the most likely amount of money they will win (or lose) at the end of 100 games?

The answer

Gambling is bad for your health and budget!

Everyday Geek Questions

What happens once in a minute, twice in a week and once in a year?

aplusclickGeekPuzzles7

I will be X years old in year X2. How old am I?

aplusclickGeekPuzzles8

How many planes of symmetry does a cube have?

aplusclickGeekPuzzles9

“1” costs $10. “20” costs $20. How much does “100” cost?

aplusclickGeekPuzzles10

The Importance of Recreational Math

“The body of recreational mathematics that Mr. Gardner tended to and augmented is a valuable resource for mankind.” –

Aplusclick project tries to destroy the border between the Common Core and the Recreational Math.

The First Algorithm in the World

“The Euclidean algorithm is the granddaddy of all algorithms, because it is the oldest nontrivial algorithm that has survived to the present day.” – Donald Knut

What is the story about?

How to find the maximum tile side size for a rectangle floor, so that you don’t need to cut the tiles? More seriously, the Euclidean algorithm is an efficient method for computing the greatest common divisor of two numbers.
It is named after the ancient Greek mathematician Euclid, who first described it in Euclid’s Elements (c. 300 BC).
It is an example of an algorithm, a step-by-step procedure for performing a calculation according to well-defined rules, and is one of the oldest numerical algorithms in common use.

Source https://en.wikipedia.org/wiki/Euclidean_algorithm

Aplusclick Math Apps for Grades 1 Through 12 Are on Apple Store and Google Play


aplusclickApps2015

5000 A+Click Math Problems are available offline. If you have problems with Internet, Aplusclick has a solution for you. Aplusclick problems are now available on App Store and Google Play. You can solve all of 5000 problems working offline.

Aplusclick has just launched a series of apps for iPhone, iPad, and Android. It includes Math for grade 1 through 12. You can track your progress or reset your score anytime. Perfect practice makes perfect!

Where do you get it?

Online: www.aplusclick.com ,   iPhone or iPad,    Android: search for Aplusclick

aplusclickAppsStore     AplusclickGooglePlay