[jonathan3909]

Need help for Question 4, 6 and 8(b).Will be grateful!Paper is attached!

[SimonM]

General point, is Q3 even true?

If a > 2, b > 4, c > 6, and a + b > 8, Prove that a + b + c is divisible by a

Take a = 100, b = 5, c = 7?

And "Prove all prime numbers are odd"?

This is an interesting paper, but I think I must be missing something, many of these questions are wrong or ill defined

[jonathan3909]

Ever solved Logic's paper before!Questions like these are solved using variables such as 'x'.Need to find someone else.

[SimonM]

I don't understand what you mean? Some of those questions are wrong, I'm asking for some clarification about the paper.

[Mr M]

Originally Posted by SimonM

I don't understand what you mean? Some of those questions are wrong, I'm asking for some clarification about the paper.

This appears to be some kind of extremely elaborate hoax. The January 2009 examination code 6004 does not exist.

I prefer this paper:



Modern mathematics paper 1.gif

[SimonM]

Is it indicative of A levels that I felt it entirely reasonable for such a paper to exist and for students to be expected to learn the exam technique necessary to condition themselves to think "Prove" means "Prove or find a counterexample"

[Mr M]

Originally Posted by SimonM

Is it indicative of A levels that I felt it entirely reasonable for such a paper to exist and for students to be expected to learn the exam technique necessary to condition themselves to think "Prove" means "Prove or find a counterexample"

I'm quite inspired by it though. It would make a nice examination wouldn't it (if the questions actually worked!)?

[SimonM]

Originally Posted by Mr M

I'm quite inspired by it though. It would make a nice examination wouldn't it (if the questions actually worked!)?

Certainly accessible to A level pupils, and definitely interesting. (Well, could be made interesting at least) (Exam questions wouldn't be hard to think of)

[roguedaemon]

what is this exam? it is not on edexcel's site!

[boromir9111]

on a different note, can anyone prove that there is infinite prime numbers? if you can, please explain

[SimonM]

Originally Posted by boromir9111

on a different note, can anyone prove that there is infinite prime numbers? if you can, please explain

Most proofs of this fact derive from a contradiction, namely claim there are finitely many prime numbers and derive a contradiction. Here is possibly the most simple, attributed to Euclid:

Suppose there are finitely many primes label them

Then, take their product and add 1:

Is this a prime? No, otherwise it'd be in our list (by our assumption). But it isn't divisible by any of the primes in our list, since it is one more than a multiple of each prime! So there must be a prime missing from our list. CONTRADICTION

[Pheylan]

Originally Posted by boromir9111

on a different note, can anyone prove that there is infinite prime numbers? if you can, please explain

http://en.wikipedia.org/wiki/Euclid%27s_theorem

[boromir9111]

Euclid's theorem, i see..... never heard of it until now. Thank you so much guys for your help!!