Quicker Maths

## Maths Theory and the Financial Markets

Posted on September 1, 2012

How the Chaos Theory is used in forex trading

The financial markets are entirely based around number fluctuations, so it comes as no surprise that mathematical theorists have attempted to map their theories to them. The end goal is of course to be able to successfully predict market movement in order to maximise profit. If you can apply a mathematical system to your method of financial trading successfully, then this becomes easier.

One of the most interesting approaches that can be applied to forex trading (currency speculation) is the Chaos Theory. The Bill Williams Chaos Theory is the most widely recognised use of the idea. Williams asserts that the results of trading are not just influenced, but determined by human psychology. The ability to reveal hidden determinism in market events (which appear to be random) therefore results in profitable trading.

## How to find the Remainder upon Division of a Very Large Number?

Posted on May 29, 2012

This is a guest post by Sudeep Shukla

The statement- "When x is divided by z, it leaves y as the remainder." is represented in modular arithmetic as-

x=y(mod z)

It can also be interpreted as "x and y leave the same remainder when divided by z." This is also known as the congruence relation and we can say that "x is congruent to y modulo z."

There is a property of this relation which is very useful.

## Brain needs Exercise

Posted on January 17, 2012

This is a guest post by Amanda Tradwick

Brain Games for Your Aging Parents

Just like any other part of the body, the brain has to be exercised to stay healthy. Just like strength training can help muscles to stay strong and running can help the heart stay healthy, regular cognitive exercise can help mental function to stay sharp and to stave off memory loss and dementia. Though the effects of age and time cannot be avoided over time, performing mental exercise can help delay those effects and keep the mind healthier for a longer period of time. Here's how brain games can help your aging parents:

Benefits

There are many benefits of brain games and other mental exercises, like learning new skills or hobbies. Here are a few of the benefits:

## Mathematics of Insurance

Posted on January 14, 2012

This is a guest post by Izzy Woods

Life Is A Gamble: Mathematics Of Expected Value And Insurance Explained

It’s always interesting when someone makes the claim that they don’t gamble. Even this early in the year most people will have made several decisions where the outcome was uncertain and those outcomes were mostly financial - just like a bet. Whether it was deciding to start the year with a new job or take out some kit car insurance on the newly built love of their lives they can’t be sure whether their financial position will be stronger or weaker as a result of their decision.

We’ll first explore the simple mathematics behind these gambles using a gambling example and explain why some decisions you should take each and every time they are offered to you. Interestingly products like insurance rely on our fear of ruin and are not always a fair gamble; we’ll explain why that is and how that leads to profit for insurance companies.

## Real Estate Math Problem

Posted on December 22, 2011

Math problems dealing with real estate, debt and income can be a little tricky, but fun and extremely useful in the real world! Check out this real estate math problem to see if you can find the solution!

This puzzle is a DTI--Debt-to-Income--problem that banks usually utilize to calculate whether or not a potential borrower will be able to pay back the loan.

Background Info: Mr. and Mrs. Abrams have a combined yearly income of \$90,000. They would like to purchase a commercial property on which to start a business for \$215,000. They have spoken with a potential lender, who indicated they can provide a \$200,000, 30 year loan at 7% interest if the Abrams can qualify. In addition to the property payment, the Abrams estimate their taxes and insurance to be \$145 per month. Mr. Abrams has a student loan payment of \$67 a month and Mrs. Abrams has a car payment of \$347 a month. Assume an amortization factor of 6.65.

## Fun with Algebra

Posted on October 18, 2011

This is a guest post by Danielle Brooksis, a regular contributor on QuickerMaths.com. If you want to write a guest post, get in touch at vineetpatawari[at]gmail[dot]com.

Algebraic Equations for Fun!

There was a lot of positive feedback about the alphametic cryptatrithms, I posted a few months ago: so here is a little game that is based on the same idea, but with a different execution. This version is fun for those with a propensity towards algebra, and geared more toward middle school or high-school ages; however, if you are an adult, please enjoy them as well. There are a few less steps here than in the cryptarithms, but I’m sure y’all will get a kick out of them all the same!

1. (DD)^E  = DEED

## Simplify Multiplication with the Lattice Method

Posted on September 16, 2011

## Simplify Multiplication using Lattice Method

Multiplication tables are a pillar of growing up no matter where you are in the world. Spending most of fourth grade learning how to multiply up to 12 x 12 was a fun and exciting time, but I was never a fan of how long it took to multiply larger numbers. I didn’t learned the lattice method until later but as a fan of matrices in calculus, this alternative method of multiplication appealed to me. Here’s how it works:

## Taking the Headache Out of Word Problems

Posted on August 12, 2011

This is a guest post by Danielle

For many math students, word problems are a cause for anxiety and stress. After all, how can you solve a math problem that is written in words, with few numbers to rely on? In my college trigonometry class, I was guilty of this, feeling like an imbecile as I struggled over the most basic of problems. However, what many don’t realize is that all of the numbers you need are contained in the puzzle; you simply have to know how to recognize and implement those numbers in order to find your solution.

The best way to do this is to draw a sketch of the scenario laid out in the puzzle—in essence to illustrate the story being told—in order to solve the problem. Below are three story problems and a step-by-step guide for finding their solutions:

## Polish Hand Magic

Posted on July 26, 2011

This is a guest post by Danielle

I learned this problem from The Puzzler’s Elusion (flipkart link) by Dr. Dennis E. Shasha. It’s called Polish Hand Magic. It’s not a method of counting faster, but it is a fun little trick to show young kids (and adults) who know their multiplication tables.

In this Magical Polish tradition, a closed fist equals 5. Let’s say you want to multiply 7 x 8.

7 is represented by …||, or three fingers down and two up. 8 is represented by ..|||, or two fingers down and three up. Find the sum of the fingers that are up, in this case, the amount of vertical lines. Then multiply the number of finger down. So:

## Alphametic Cryptarithms

Posted on June 28, 2011

This is a guest post by Danielle Brooksis

### Alphametic = Alphabets + Arithmetic

Alphametic cryptarithms are a fun way to bridge the gap between math and language, particularly good for training young people to think logically and use reasoning.

Wikipedia definition: Verbal arithmetic, also known as alphametics, cryptarithmetic, crypt-arithmetic, cryptarithm or word addition, is a type of mathematical game consisting of a mathematical equation among unknown numbers, whose digits are represented by letters.

I like to pass time figuring out math puzzles, because there is no ONLINE ANSWER SERVICE for them.