Two days ago, quite early in the morning I got a message from Wild Cat on MSN quoting the exact following:

so are you doing some article about maths, maybe a puzzle for your adoring public?

Now, I am going to look like an idiot but I actually thought that Wild Cat meant about the hidden area on my portfolio website so I replied with cba and then got this reply. However I then learnt what Wild Cat was talking about World Math’s Day. Now rather then explaining what this day is about, just click – World Maths Day 2010.

Instead, here are some lovely maths problems for you to enjoy so have fun. These questions ranges from simple pure maths to some “puzzle” based ones. Okay, I lied some are maths related but actually just need common sense to answer.

Question 1

Jacob and his brother Bob both agreed to meet each other at the park. Jacob leaves in his car and goes down the main road and goes directly to the park while his brother walks and takes the back roads while walking and although it takes him an hour to get there, he finally gets to the park.

By using the information above, whom is closest to home ?

Question 2

By only using the digit 8 and only using addition, how could you get the answer 1,000 ?

Question 3

Part 1

Between the numbers 1 and 1,000, what is the most common digit ?

Part 2

What is the least common digit

Question 4

Evaluate the indefinite integral where both a and b are real positive constants.

evaluate the indefinite integral:

integral(dx(e^ax)cos^2(2bx))

Question 5

With just using your head, can you work out the following by using the information below.

• x = 11 + (-(-1)) + (-(-11)) + ((14 * 10) / (-1 000)) – (13 * 0.14) – 0.04 – 20
• 2x = 2

Work out the answer to x

Answers will be posted to all these in a few days…maybe if I can’t be arsed.

Right, today post is going to be a “simple” maths question. The person who guesses the answer right first will be getting a prize and the person that can explain why so, will get a better prize

I am giving 48 hours for this. I can rest you asure that if you look over it and think, you will see the answer. If you can’t work it out, don’t worry, alot of people can’t Well done for clicking the Hebrew link, the answer is here

Going first in this game gives you an advantage., that is the key part.

P(A) != 0.5

So, in this answer, lets p be the probability of winning if you go first.

That is the same as 1/6 + 5/6 * probability of losing if you go first, since there 1/6 chance you win first time, and 5/6 the game continues starting with the opponent turn

p = 1/6 + 5/6 * (1-p)

Which goes down to p = 6/11

So P(A) = 5/11 (since Kyle goes second)

So the answer is ( 5/6 * 5/6 * 5/6 * 1/6 ) / (5/11), which is exactly two Seventy Five / Twelve ninety six or roughly about 21.1%

Matthew and Kyle is playing a game that uses a single fair die. This die has 6 sides. The game is over once one person rolls a 6. If Matthew rolls first and he doesn’t get a 6.

Kyle then rolls and he too, doesn’t get a 6. The same keeps going until one of them rolls a 6. Kyle rolls the 6 before Matthew did.

What is the probability that Kyle rolled the 6 on this second turn ?

I am very sorry, but this article was damaged during a database move. I will re-write it soon.

The information within this page shouldn’t be used as research as it is all from memory. Arabic language pack might be needed if you are reading this.

Welcome men, womens and children alike to what the bookies are saying to be a number one fight of the year. In this fight, we have Arabic on the right hand side and Latin on the left hand side.

Without further adue, lets bring them on.

Todays fight is which is better using maths. So, lets start the fight – Which is better at maths, Arabic or Latin (Roman Numerals).

Question 1 - 5 + 3

Arabic

5 + 3 = 8

Latin

V + III = VIII

Correct Answer – Both

Question 2 – 20 * 4

Arabic

20 * 4 = 80

Latin

XX * IV = LXXX

Correct Answer – Both

Question 3 – 0 + 16

Arabic

0 + 16 = 16

Latin

Ummm, Quispiam adaugeo XVI?

Correct Answer – Arabic

Kidding aside, the above is showing you what the Arabic number system is like and why it is better then the Latin Roman ones. If you look, the Latin Roman ones get very, very long and if you think about it, what happens if you wanted to do 1000 squared ?. The Arabic answer would be 1000000. The Latin Roman answer would be MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM

See, there the problem with using the Latin one in this case. Also, the Latin Roman numbers, can’t do decimals to what I am aware off. Personally, I think they would have had to say half of II but more I or something like that. With the Arabic numbers, it would be 1.5 if we was doing it half way.

Mostly, the Arabic numbers are much more easy to work with and takes less space – Something that we need in maths.

Until next time.

While it is birthday today, I have no plans on coming online and post a blog post so I have posted this in advance. Today, is not going to be anything wacky but just some simple things you may not know about mathemactics.

Many, many years ago, I can still remember my Math’s teacher will always debate with my Science teacher about who field of expertise is the more pure.

Even to now, I have always sided that maths is the more pure (You can tell what I am best at can’t ya ). Anyway, below is a little comic that shows what I mean. (Click it to make it bigger).

This comic comes from xkcd. This comic may also have a different licence for use then Snat.co.uk.

Ingore this post as it is mearly making sure that I can post math stuff easily – It is needed for other pages

Basically, if you see an image below, it worked.

[pmath size=12]S(f)(t)=a_{0}+sum{n=1}{+infty}{a_{n} cos(n omega t)+b_{n} sin(n omega t)}[/pmath]