Level 2 Further Maths - Post some hard questions (Includes unofficial practice paper)

The best thing to use is your textbook if you have one. The problem with revision resources for a topic like this is that most revision resources will be A Level and go through methods that you don't need.

I'll probably post a full solution to this question a bit later and explain all the methods. This question is harder than any matrices question that's been in a Level 2 FM paper so try those questions first.

are thetha and alpha whole numbers?

This is the hardest one I've posted so far and requires a very good undrstanding of transformation matrices. Don't worry if you can't do this one.


The transformation matrix represents a clockwise rotation of about the origin.



The unit vector is transformed by the matrix to give the vector .

Find the value of and .

So, in other words, it's today?

You should be getting whole numbers for theta and alpha. If you like I can check your working - I've got a feeling that you are close.

is theta 50 and alpha 40

Can anyone help me out with this question ?- without using the trial and improvement method - thanks

The nth term of a sequence is n^2 + n
two consecutive terms in the sequence have a difference of 32
work out the two terms

Can anyone help me out with this question ?- without using the trial and improvement method - thanks

The nth term of a sequence is n^2 + n
two consecutive terms in the sequence have a difference of 32
work out the two terms

The way you do it is by setting up the equation
(n+1)^2+n+1-(n^2+n)=32 and solve it from there

Consecutive just means next to each other, so n + 1

[(n+1)^2 + n + 1] - (n^2 + n) = 32

n^2 + 2n + 1 + n + 1 - n^2 - n =32

3n = 30
n = 10

Numbers are 10 and 11

I don't think this is right. If you are trying to use methods outside Level 2 FM then this is the wrong approach.

Lots of hints for anyone strugging with the matrices question: