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

Would a quadratic in trigonometric functions be outside the realms of FM?

Solve $\displaystyle 17= 4\cos^2\theta + 17\sin\theta$ where $0^{\circ}< \theta < 360^{\circ}$.

Hi, i tried solving yours however i only got 1 answewr within the range 0-360 and it WAS 90.

The other quadratic was undefined...

That's correct.

If @_gcx hasn't replied later then I'll take a look.

Hopefully some other students can join in with the thread. I'll continue to post questions if it's just you answering since I think this thread could be useful for future years.

could you work out the answer to what GCX posted? I want to see if i got it right.

i got 90 but not sure.
UPDATE: Don't 90 isn't the answer. I did a minor error.

I get 90 degrees too and subbing it back into the question you get 17?

could you work out the answer to what GCX posted? I want to see if i got it right.

i got 90 but not sure.
UPDATE: Don't 90 isn't the answer. I did a minor error.

I only got 90.

aye yes. Look at my other post. I thought i did an error and i got 90, but then again i redidt it and i got 90 again.

Have you done all the papers of FM?

pretty much ye.

Including practice papers?

Hi, i tried solving yours however i only got 1 answewr within the range 0-360 and it WAS 90.

The other quadratic was undefined...

Do we still get an equation sheet for Further Maths or nah?

Sequences. It's definitely grade A^ and I've seen a question like this but easier in textbooks but not in an exam (yet).

Here are the first five terms of a sequence:

$\displaystyle \frac{3}{3},\frac{20}{15}, \frac{49}{35}, \frac{90}{63}, \frac{143}{99}$

The $n$^th term of the sequence is $u_n$. Find the limiting value of $u_n$ as $n\rightarrow \infty$.

Is this correct?

Might be a bit tricky but doable:

Given that $f(x) = x^3 - kx^2 - 13x + 5k$ and $f(5) = 0$, find the other two solutions to $f(x) = 0$. (no trial and error )