Another oldie. Randomly pick a number between 0 and 1. Then randomly pick another number between 0 and 1. If the latest number is greater than the previous one, game over and you made 2 picks. If the latest is less than the previous, then have another go, etc. All numbers are between 0 and 1.

On [...]

A tyre company in Namibia buys 2500 tyres per year from suppliers at an average N$500 per tyre.

The annual storage cost is about 15% of the purchase price. The ordering cost is N$250 per order.

How many tyres should they order each time???

- Alberto Engelbrecht

Show that if p is a prime greater than 3, that (p²-1)/24 is an integer.

Prove that all primes (> 3) can be written as 6n+1 or 6n-1 for some integer, n.

Show that no square integer has remainder 2 after division by 3,

Chris has just been given a new job. He is to build the monument of some architects dream. The architect plans to call his dream monument – “Stonehenge”

Chris needs to get the stones to use for this project from somewhere in deepest darkest Wales. He plans to use large wooden rollers to rolls the stones [...]

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Tom
Three friends Aura, Frost, and Frenzy go into a cafe to show each other their new iPods. They each have different kinds of iPods of different colors. As Frost and Frenzy sit down they take out their iPods as Aura gets their drinks that they have each ordered. Aura comes back and takes out his [...]

Karl is an Atheist. In his whole past life, he didn’t believe there is a God.

Once day he hiked in a forest. A huge Grisly rushed toward him.

Karl prayed, “Dear God! Please turn this bear into a Christian?”

Believe me or not! Instantly, the bear halted, on her kneess. And started to pray.

“Dear God, _____ ___ [...]

There are seven candles arranged in a septagram. That would be a 7 pointed star, a symbol of synthesis and mystery due to its links with the number seven. Seven is an integrating number, encapsulating as it does the hierarchical orders of classical mystical thought. There are seven planetary spheres governed by the seven planets [...]

The following was part of my 14 year old son’s homework.

Given a positive integer, form all unique permutations of that number, add them all up then divide by the sum of the digits (in the original number). What is the result?

Bear in mind that some of the digits may occur more than once.

e.g. Starting with [...]

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MathsChallenge