Let's do the HARDEST a level further maths question!!

Let's do the hardest further maths question in a level!
What's the hardest question you have ever seen?

Thanks for watching :)

[lewisbiddle]

I would be so happy if a question like this came up on my FM A-Level Paper. Its a long question but it's all generally quite easy hyperbolic.

[Leo-sbbq]

This is a difficult question in the sense that it can be easy to mess up in your algebra, but you’re given the answer so you can easily correct it. If you can recognise to make a hyperbolic substitution then I don’t think it’s really that bad after that. There are a lot of harder questions that this in Further maths, but that’s just me being bad at other topics :)

[amazingtheperson]

it is quite hard but it is fairly straightforward if you have seen a hyperbolic substitution before why is it 15 marks? 7-9 marks seems more appropriate

[ssj_brownie]

I just used regular trigonometric substitution, substituting tangent theta and then using a Pythagorean identity and just working my way through

[jamiewalker]

It's perfectly valid just to differentiate the right hand side. This bypasses any need to use hyperbolic trig function - and it just becomes a single maths chain rule/product rule question.

[malachirichards]

Pov: Your barely passing GCSE foundation paper maths

[KaiNotebook]

loved the walkthrough of the problem!!

[hextechedits]

screams in 'just picked further maths' (looks fun tho tbh)

[fadzgaming]

It’s not that hard when u think about but the problem with integration is and trig identities u don’t know when to use which formula

[harryderick]

I did the question by integrating the LHS, but didn’t use hyperbolic substitution, but instead used trig sub. Would this still get all the marks?

[kuchbatein]

the only question i have is how you figure out what to substitute bc that's the hardest part in all substitution questions..

[oxbmaths]

Nice solution video!
Would it be also acceptable to differentiate RHS and show that it is equal to LHS?

[lijiaxuan]

Hi! May I ask where did you find question like this from? This would be very helpful for me!

[samstiles]

Starting f maths a level in September. This is terrifying 🤣

[darcash]

X+2 = 3tanu is much cleaner. Ends up w/ 9 int(sec^3u), which is very standard and nice to remember bc it is (secx derivative + anti derivative)/2 [or by parts if you can’t recall this]. From there isolate theta and find sec and tan and plug back in

[josephhalliday]

Question: I am expecting a comfortable 9 for GCSE Maths and I'm considering further maths a level. I'm not sure what I want to do with my career so do you think that maths, further maths and physics is a good option?

[two]

Damn I've never seen a 15 marker question before. The most I've seen in my exam board is 8 marks

[nosir]

I'm teaching myself AS Further Maths and then I'm formally learning AS Chemistry, Maths and Physics.

Any advice?

[chuwukie]

what paper and exam board is this question from?

[ShaneB]

This is far from the hardest a level further maths question. It may long and tedious and easy to mess up, but if you know your hyperbolic substitutions and hyperbolic identities then this should be a piece of cake as long as you are careful not to make any silly mistakes. Also, since the correct answer is already given, you'll know if you have made any mistakes or not when you've finished the question and can go back and correct your working if necessary.