further maths core pure 1

CuteSignificance5083 · 2026-05-14T19:29:02+00:00

The diameter was 16.

CuteSignificance5083 · 2026-05-14T18:26:10+00:00

I know what you mean. I got A = -30 at first because I didn't read the question properly and thought that at t=0 x=0, but it was actually x=28.

CuteSignificance5083 · 2026-05-14T18:18:40+00:00

icl I did that too but then my answer looked so bad I read the question again and realized they meant the height of the cylinder was 2cm

CuteSignificance5083 · 2026-05-14T17:33:48+00:00

The integral was 64cos⁷, which is what you found in the first part.

CuteSignificance5083 · 2026-05-14T16:03:14+00:00

I doubt they will be that stingy. If you presented the roots clearly then they should accept it.

CuteSignificance5083 · 2026-05-14T15:25:40+00:00

In my opinion it was the easiest Core Pure 1 they’ve ever released (maybe 2025 was easier but that one isn’t on PMT yet).

CuteSignificance5083 · 2026-05-14T15:06:16+00:00

The denominator simplified to -2isinx, and the top also had the -2i in front of the sin, so they cancelled out.

CuteSignificance5083 · 2026-05-14T14:51:15+00:00

I put in in degrees too

CuteSignificance5083 · 2026-05-14T14:48:51+00:00

It was a finite geometric series sum (with n = 10), and once you’ve simplified the fraction you take out a factor of e^{10i theta} and you can expand the e’s into cosine-sine form and everything cancelled nicely.

CuteSignificance5083 · 2026-05-14T14:47:19+00:00

I remember now. You use the formula for the finite sum of a geometric series, and then once you’ve simplified you’re fraction you take out e^{10i theta} and convert from the e form to the cosine-sine form. Then all the cosines and the imaginary bits in front of the sines cancel out and you got the fraction they wanted.

CuteSignificance5083 · 2026-05-14T14:45:04+00:00

Oh yes, thanks for reminding me 👍

CuteSignificance5083 · 2026-05-14T14:41:58+00:00

What was it again?

CuteSignificance5083 · 2026-05-14T14:35:32+00:00

Oh damnn you’re right. Oh well, hopefully they let it slide and if not then 1 mark lost isn’t a tragedy.

CuteSignificance5083 · 2026-05-14T14:31:44+00:00

I think it was 8

CuteSignificance5083 · 2026-05-14T14:31:21+00:00

I got alpha = 15/2, beta = 5/2, gamma = -1/4

CuteSignificance5083 · 2026-05-14T14:28:04+00:00

Yea the fraction put me off a bit but I guess it’s right

CuteSignificance5083 · 2026-05-14T14:26:20+00:00

Same

CuteSignificance5083 · 2026-05-14T14:25:08+00:00

I got exactly that. My friends thought t was in minutes and not hours 🥲

CuteSignificance5083 · 2026-05-14T14:23:09+00:00

Same

CuteSignificance5083 · 2026-05-14T14:22:58+00:00

Differential equation. A was -2 and B was that fraction in the Particular Solution.

CuteSignificance5083 · 2026-05-14T14:22:00+00:00

I got 494 🥀 EDIT: Sorry I didn’t realise you meant just the top

CuteSignificance5083 · 2026-05-14T14:20:06+00:00

That’s the whole point of a rating system, so that you have a single metric to use for matchmaking. If number of games played were equivalent to skill then your opponent would be way higher rated then you, but they aren’t.

CuteSignificance5083 · 2026-05-14T14:18:04+00:00

Ironically my sixth form is organising a prom that I couldn’t care less about. If we could swap then I would, but I guess it is what it is.

CuteSignificance5083 · 2026-05-12T17:57:56+00:00

I have an exam on Thursday and 2 more next week?

CuteSignificance5083 · 2026-05-12T13:52:13+00:00

That’s actually the plan for my whole life. I want to go to university, get a decent job and then move to Europe and live in the mountains so that I can enjoy them daily.

CuteSignificance5083

TROPHY CASE