Quicker Maths
29Jan/120

Current Affairs Books 2012

Current affairs | general awareness | general knowledge section is as important as any other section in almost all government job competitive examinations. To improve our overall awareness there are lots of options like internet, newspapers, magazines, etc.  However, there are very few options for exam specific preparation. The most striking part of this section is that there cannot be any prescribed format to prepare oneself for it. Fortunately, there are some wonderful books which can help you to sail through these competitive examinations. I am listing the most trusted books on current affairs and general awareness below.

Manorama Yearbook 2012 (Free CD)This best seller has a long history of success. It is India's best General knowledge update covering almost everything that a student needs in competitive examinations Purchase Online

14Jan/120

Mathematics of Insurance

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.

20Nov/1111

Rule of 72 – Estimation of Compound Interest and Time

Effect of Compounding

The Rule of 72 is a good quick math shortcut to find out the following –

  • Time required for an amount to double itself, at a given rate of interest
  • Rate at which an amount should grow to double itself in given time

This formula can be applied for “Doubling Problems” related to money, population, etc. which grows at an annual compounded rate.

Formulae

  1. To calculate the time; T = 72/R
  2. To calculate the rate of interest; R= 72/T
18Oct/112

Fun with Algebra

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
5Sep/112

Memory Tricks for Trigonometry

In the post titled Trigonometry Formula Memorization Trick, I agreed to write about a simple memory trick for memorizing the value of all major angles of different trigonometry ratios like sin30, cos45, tan60, etc. So here you go –

Values of Trigonometric Angles

Let’s start with most commonly used angles of Sin. The angles are 0°, 30° (π/6), 45° (π/4), 60° (π/3), 90° (π/2). For these angles we’ve to make fractions for which we’ve to write 0, 1, 2, 3 and 4 in the numerators and write 4 in the denominator of each fraction.

26Aug/1112

Trigonometry Formula Memorization Trick

I learned this shortcut memory trick from my Maths teacher in school. Recently while interacting with a class X student, I realized they have to mug up all the trigonometric ratios. This can be frustrating and can create a phobia or dislike for an interesting subject like Trigonometry at the very onset.

To use this memory trick, you need to memorize this simple mnemonic -

Some people have curly brown hair turned permanently black

That’s all you need to memorize to register the trigonometrical ratios in your mind forever. So here you go,

12Aug/110

Taking the Headache Out of Word Problems

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:

29Jul/118

Quantitative Ability Question

This quantitative ability question was sent to me by Mr. Satish Kumar by mail. I generally answer the questions I get on email by directly replying to them. However, I thought this question is worth to be discussed with all QM readers. So here it goes -

Question

I have a total of rs 1000. Item A costs rs 110,item B costs rs 90, item C costs rs 70 ,item D costs rs 40 and item E costs rs 45. For every item D that i purchase, I must also buy only 2 items of B. For every item A, I must buy one item of C. For every item E, I must also buy 2 of item D and one of item B. For every item purchased  I earn  1000 points and for every rupee not spent I earn a penalty of 1500 points. My objective is to maximise the points I earn. What is the number of items that I purchase to maximise my points?

options....
a) 13   b)14   c)15   d)16

"Give me the procedure to solve this with in 2-3 mins . It takes to much time 2 solve this for me." -  Satish Kumar

Pay attention to Satish's problem and suggest time reduction techniques along with the solution to the above problem.

I would latter include the best answer(s), posted as comment, in the post itself.

18Jul/112

How to Manage Stress During Exams?

Stress management is a big challenge in our day to day life. The academic system and the pedagogy is such, that it appears very early in our life cycle. The first thing which will come to our mind after hearing about exam is tension or stress.

Through this article I would like to share certain ideas, which I gathered over the time, to reduce stress and increase efficiency during examinations. The underlying ideas can also be applied to manage stress in other aspects of our life.  I hope it will be beneficial for all the readers of QM, either directly or indirectly. The intention of writing this article is to help readers willing to increase their efficiency and perform better, by making the exam process less tiring and little more enjoyable.

How to Manage Stress before Examination?

  • Take a piece of paper and list down the main reasons of your stress and anxiety. Next to each problem, write possible solutions.  Take a break and discuss with your parents and (if possible) your teachers your fears and doubts
13Jul/111

Funny Maths Jokes

Q: Why do you rarely find mathematicians spending time at the beach?
A: Because they have sine and cosine to get a tan and don't need the sun :D
An infinite crowd of mathematicians enters a bar.
The first one orders a pint, the second one a half pint, the third one a quarter pint...
"I understand", says the bartender - and pours two pints.
Q: What does the zero say to the the eight?
A: Nice belt!
A man flying a hot air balloon got lost. So he descended and asked a woman walking in a field “Where am I?” She thought for some time and then replied. “In a hot-air balloon”. Immediately the balloonist realized she was a mathematician, for three reasons (1) She thought before replying (2) What she said was absolutely correct and (3) Her reply was totally useless.
A mathematician, statistician and accountant were finalist for a position as VP in a large corporation. The hiring committee asked them all the same last question:
The mathematician was first."How much is 500 plus 500 ?" , they asked"1000" he replied without hesitation."Thank you", they dismissed him.
Next the statistician."How much is 500 plus 500?""On the average, 1000 with 95 % confidence" replied the statistician"Thank you", they dismissed him.
Next the accountant."How much is 500 plus 500?""What would you like it to be?" responded the accountant.They hired the accountant.
Question: "How many seconds are there in a year?"Answer: "Twelve, January second, February second, March second, ..."
Q: What is the definition of a polar bear?
A: A rectangular bear after a coordinate transformation
Q: What will a logician choose: a half of an egg or eternal bliss in the afterlife? A: A half of an egg! Because nothing is better than eternal bliss in the afterlife, and a half of an egg is better than nothing.maths Math

Maths is Fun

Mathematics can be real fun but that's only probable if you like the logic, the numbers and the beauty of the subject.  However, with this post I have tried to make maths fun even for people who don't love maths. This is done by making fun of maths and mathematicians. Of course, these are not my creation and have been collected from different sources. I hope you would like these jokes on mathematicians.

Maths Jokes

Q: Why do you rarely find mathematicians spending time at the beach?

A: Because they have sine and cosine to get a tan and don't need the sun :D