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Further Maths AQA GCSE exams

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Solve the simultaneous equations

y=2x+1

y=x^3 +3x^2+5x+2

.
Hence find the geometric relationship between the line

L

with equation

y=2x+1

and the curve

C

with equation

y=x^3+3x^2+5x+2

Reply 81

Redcoats

Original post by Ano123

Solve the simultaneous equations

y=2x+1

y=x^3 +3x^2+5x+2

.
Hence find the geometric relationship between the line

L

with equation

y=2x+1

and the curve

C

with equation

y=x^3+3x^2+5x+2

2x+1 = x³+ 3x²+ 5x + 2

Therefore x³+ 3x²+ 3x + 1 = 0

Therefore (x+1)(x+1)(x+1) = 0

Therefore x = -1 and y= -1

Geometric relationship:

f '(x) = 3x² + 6x + 5

Gradient at the point x = -1 is 2

The tangent is: y - (-1) = 2 (x - (-1))

Which gives y = 2x+1 = Line L

Thus the geometric relationship is that the line L is a tangent to the curve C at the point (-1,-1)

(edited 7 years ago)

Reply 82

BobbiBlue

May seem like a stupid question but is cos^2 theta/cos^2 theta just one?

Posted from TSR Mobile

Reply 83

Notnek

Original post by BobbiBlue

May seem like a stupid question but is cos^2 theta/cos^2 theta just one?

Posted from TSR Mobile

Yes.

Reply 84

Wolfram Alpha

Hello everyone. I want to ask for those who are achieving grade A or above in further maths, would two days of constant work be effective in moving my grade up from C/B to A?

Reply 85

niamhdoesmaths

Original post by icy_typhoon

hi! I'm doing further maths but I lowkey wish I wasn't rn because both of my exams clash with ocr science ones (further bio and further physics)
I'm good at maths and I'm taking it for A level but I do find some stuff in further quite difficult...I struggle to apply things to questions.
Good thing you can get an A with like 50% :biggrin:

Same here with the OCR clashes, although I'm glad we do FM as I've really enjoyed the content and feel like it's left me pretty prepared for A Level (well the first term at least lmao)

Reply 86

niamhdoesmaths

Original post by Wolfram Alpha

Hello everyone. I want to ask for those who are achieving grade A or above in further maths, would two days of constant work be effective in moving my grade up from C/B to A?

Probably, grade boundaries are rock bottom so you'd just need to learn a few topics you didn't understand before and you'll be good to go :smile:

Reply 87

siobhanx13

Does anyone know what the grade boundaries are, specifically for an A and A* on paper 1 and overall because on the AQA grade boundaries for the previous years it doesn't have the grade boundaries for the A* distinction, so I'm wondering if the A* coordinates with an A* distinction and an A coordinates with an A* etc? Hopefully this makes sense!

Reply 88

Rao Khan

Does anyone have any predicted topics for the exam?

Reply 89

Ishan_2000

Original post by siobhanx13

http://filestore.aqa.org.uk/over/stat_pdf/AQA-IGCSE-GDE-BDY-JUNE-2015.PDF

If you use 111/175 as the A* and just calculate what you'd need on each paper, so it would work out to 44.4/70 on Paper 1, and 66.6/105 on paper 2.

Reply 90

niamhdoesmaths

Original post by Ishan_2000

That was for a paper deemed very hard by those who sat it.
Take an average from last year's and 2014's (an easy paper), to find a good guess for grade boundaries for an average-difficulty paper :smile:

Reply 91

IssyCon

Both http://www.drfrostmaths.com/resources/sow.php?year=IGCSEFM&term=All and http://www.mrbartonmaths.com/gcsefm.htm are useful fm websites. Good luck everybody for tomorrow. Hoping to get an A, but very nervous.

Reply 92

Ishan_2000

Original post by NiamhM1801

Yes, it was harder than average, as we took that for our maths mock in December! Thanks though, now I know that the grade boundaries will be kind. :smile:

Reply 93

SmithAmelia

If anyone is struggling revising AQA Further Maths GCSE, go on YouTube, and watch RawMaths' videos on the course - they are very helpful :smile:

Reply 94

niamhdoesmaths

Is everyone ready for tomorrow? I'm kinda excited not gonna lie...
Anyone else going for that A^? :tongue:

Reply 95

Jakir

I don't understand increasing and decreasing functions... what is it?

Reply 96

niamhdoesmaths

Original post by Ishan_2000

Yes, it was harder than average, as we took that for our maths mock in December! Thanks though, now I know that the grade boundaries will be kind. :smile:

Ah we did it as Easter holiday homework - I didn't like paper 1 that much (62/70) but paper 2 was honestly the best one I've ever sat!! (102/105!!)
It was hard but an amazing challenge, I adapted to it better than any other paper.
Good luck for tomorrow - hope you smash it :smile:

Reply 97

niamhdoesmaths

Original post by Jakir

I don't understand increasing and decreasing functions... what is it?

Increasing function = when the gradient of the graph is positive (ie going up)
Decreasing function = when the gradient of the graph is negative (ie going down)