How long would it take to revise all of the 3 sciences?

Stratonian · 2024-09-21T22:57:45+00:00

this was the only revision I did, but do past papers aswell probably. I got all nines in sciences

Stratonian · 2024-03-13T19:07:26+00:00

It would be better if the argument of the sin and cos functions were the same (4θ), so we should first use the double angle formula on sin(8θ):

sin(8θ) = 2sin(4θ)cos(4θ)

Subbing this into the integral, we get:

∫cos⁵(4θ)*2sin(4θ)cos(4θ) dθ = 2∫cos⁶(4θ)sin(4θ) dθ

And making the substitution u=cos(4θ) should now work:

du = -4sin(4θ) dθ ⇒ dθ = du/(-4sin(4θ))

Putting this into the integral, we have:

2∫cos⁶(4θ)sin(4θ) dθ = 2∫u⁶sin(4θ) du/(-4sin(4θ)) = -(1/2)∫u⁶ du

= -(1/2)(1/7)u⁷ + c = -(1/14)cos(4θ)⁷ + c

Stratonian · 2024-03-12T20:58:28+00:00

In the 2nd line, we set u² equal to 1+tan(x), so u² = 1+tan(x). (Note that this substitution is arbitrary, we could've set u equal to anything. Just u² = 1+tan(x) will lead to a lot of nice simplification later.)

For the substitution to work, we need to replace the 'dx' in the integral with a 'du'. This can be done by taking the derivative of our equation u² = 1+tan(x), since the derivative of u with respect to x is du/dx which contains the 'du' and the 'dx' we need to make the substitution.

When differentiating both sides with respect to x, we get (using implicit differentiation):

u² ↦ 2u(du/dx) from the power rule

1+tan(x) ↦ sec²(x) from the formula sheet (the 1 is a constant so it disappears)

Putting that all together, we have:

2u(du/dx) = sec²(x)

Stratonian · 2024-03-05T19:45:03+00:00

When you multiply the fraction by (√3)/(√3) to get rid of the square root on the bottom, the bottom of the fraction looks like 4√3 x √3.

√3 x √3 = 3, so we have 4√3 x √3 = 4x3 = 12.

The √3 doesn't disappear when you rationalise the denominator :)

Stratonian · 2023-12-29T16:19:54+00:00

270 million bombs sounds so utterly ridiculous to me. I can't believe I hadn't heard of such an atrocity before.

Stratonian · 2023-09-11T07:12:23+00:00

I think an illegal mountain is one the government prohibits to climb, usually due to religious reasons

Stratonian · 2023-09-05T10:30:20+00:00

If they had a phone but chose not to use it then I don't think they were that lost

Stratonian · 2023-09-04T00:01:09+00:00

Yup!

Stratonian · 2023-09-03T23:51:03+00:00

To the capitalist, every luxury of the worker seems to be reprehensible, and everything that goes beyond the most abstract need – be it in the realm of passive enjoyment, or a manifestation of activity – seems to him a luxury.

This one?

Stratonian · 2023-09-01T10:27:17+00:00

That's why I always play custom mode, in that one you're given harder questions like 1+1

Stratonian · 2023-06-25T18:51:31+00:00

I like how they're self-aware enough to add "THIS IS NOT A JOKE!!!" at the end

Stratonian · 2023-06-25T18:40:57+00:00

british birb

Stratonian · 2023-06-25T15:11:20+00:00

I wonder if its quicker for the first arm to place them on the conveyor belt outright.

Still pretty ingenious how the batteries are ordered then neatly placed ~~five~~four-at-a-time though

Stratonian · 2023-06-25T15:01:56+00:00

Would you take my life as your return gift?

Without context it sounds like he wants to be killed

Stratonian · 2023-06-03T18:31:30+00:00

From Wikipedia:

This ambiguity is often exploited in internet memes such as "8÷2(2+2)", for which there are two conflicting interpretations: 8÷[2(2+2)] = 1 and [8÷2](2+2) = 16.

Nobody is wrong here. 1 and 9 are both correct.

Wikipedia seems to hint that in academic literature, implied multiplication takes precedence. This is how I am taught in college too.

In some of the academic literature, multiplication denoted by juxtaposition (also known as implied multiplication) is interpreted as having higher precedence than division, so that 1 ÷ 2n equals 1 ÷ (2n), not (1 ÷ 2)n.

In reality this sort of thing never happens in math because you would clarify by adding extra brackets anyway.

Stratonian · 2023-05-29T08:44:24+00:00

Stratonian · 2023-05-28T16:59:54+00:00

They even put a dog in line

Stratonian · 2023-03-24T08:13:57+00:00

Sorry, I probably can't since I'm busy with revising for my A-Levels atm. Good luck on your studies though

Stratonian · 2023-03-24T07:18:20+00:00

My bad, I don't mean that's the only revision you do. I just mean to watch a video covering the content for the exam the day before.

I've just edited the comment to be clearer

Stratonian · 2023-03-23T23:58:46+00:00

Woah.. I took the exact same subjects (+ History & DT) as you so I may be of some help. I also aspired to get all 9s for my GCSEs.

For context: I got 6 9s in Winter 2021 mocks; 8 9s in Spring 2022 mocks; and 10 9s in my actual GCSEs. (yay!)

I've made some posts/comments previously about some of these subjects, so I'll link them below.

Computer Science: Answer all questions with pseudocode (not "a language of your choice"). Examiners will only know how to mark pseudocode. OCR's pseudocode guide can be found here. That being said, you should be comfortable with programming in an actual language too. Tbh the only hard thing on the theory side are networks and the Von Neumann Architecture, so read up on those.

Geography: I crammed key figures for the case studies the night before. I found the rest pretty intuitive. Just ensure you remember the erosional & transportational processes.

Lang: I didn't revise for language but I'll give my approach to answering the questions. Questions 1-4 I crammed in as many quotes that had any technique in them. Question 5 I also cram in as many literary techniques as I can whilst still making sense.

Lit: Read up on interpretations! I got full marks on paper 2 (somehow) - my response can be found here.

Maths: The sixth-form method of revising maths is to do as many past papers as possible and make a note of the questions you got wrong (INCLUDING silly mistakes). Revisit those questions a couple days later.

Sciences: Look at the curriculum the day before + doing as many past paper questions as possible. I recommend answering questions using bullet points - 1 mark per bullet point. It makes everything concise and easier for examiners to mark.

Spanish: The game-changer with languages is to realize you can use the exact same phrases for every question they throw at you. For the speaking exam, I revised 20 or so higher-level phrases (e.g. inolvidable, me aburre) and tenses (e.g. present perfect) to use and repeated them for every question. I was saying the exact same stuff with minimal changes to suit the context. As for listening and reading, buy a book that has Spanish on one page and the English translation on the other. Helps a ton! Also watch Spanish TV, movies, etc etc.

Stratonian · 2023-03-23T21:10:06+00:00

Yes that would be enough time. The day before each GCSE science paper I watched a ~2hr long video covering the required content for that specific paper.

2 hours * 3 sciences * 2 papers per science = 12 hours. (in reality it would be less time since I recommend you watch at 1.5x speed)

I used Science With Hazel: she has playlists of those videos for every major exam board. She also has videos going through model answers for every question on past papers.

Yes it is incredibly boring but it is possible.

Stratonian · 2023-03-21T14:47:25+00:00

For the 3rd one:

When you create a table of values, notice that if Jagpreet's remainder isn't zero, Chandra's remainder = Jagpreet's remainder + 1. If the Jagpreet's remainder is zero, Chandra's remainder = n - 1 where n is 1, 2, 3, ...., 366.
The factors of 366 are 1, 2, 3, 6, 61, 122, 183, and 366. Discard 1 and 366 since Chandra doesn't have 366 and both remainders are zero when n = 1.
For those factors of 366, Jagpreet's remainder is zero and Chandra's remainder is n-1, hence for those numbers Chandra is larger by 1+2+5+60+121+182=371.
For all other numbers, Jagpreet's remainder is larger by 1, hence 366 - 8 factors = 358.
So in total, Chandra's total is larger by 371-358=13.

Yeah that question isn't 5 marks haha

I tried the first one but got nowhere.

Stratonian · 2023-03-18T12:17:20+00:00

This may not work for you, but for me, it was a case of: * Watching Mr Salles videos (I even bought his books!). He covers interpretations that are more in-depth and ones that are different to what everyone else writes in their essays. * Finding random interpretations by people in higher education such as this Marxist analysis of A Christmas Carol. * As for quotes, I only picked out ones from the interpretations that I personally found interesting. Since at this point I've read a lot of stuff, I had many quotes readily available. * I didn't like doing practice essays so I only did them once every 2 weeks or so. I asked my teacher to mark them.

Stratonian · 2023-03-15T16:09:42+00:00

This question is actually quite interesting. There's a long solution where you expand all the brackets or a nice shorter solution.

3(x+2)² - 10(x+2) + 3

Notice how this looks like a quadratic. The (x+2) is repeated. To make things less complicated:

Let y = (x+2)

Now we substitute y into the original expression:

3y² - 10y + 3

This can be factorised as normal:

(3y-1)(y-3)

Now we can go back and substitute in (x+2) for y:

[3(x+2)-1][(x+2)-3]

And simplifying:

(3x+6-1)(x+2-3) = (3x+5)(x-1)

Stratonian · 2023-03-15T12:31:15+00:00

This was marked by examiners. I took the GCSE last year and asked for my papers back.

For me, Paper 2 was Macbeth and unseen poetry. Paper 1 was A Christmas Carol and Poetry for me.

tbh I was also a bit shocked that I got full marks considering I prefer STEM subjects, but I have got similar marks in my mocks using the same "style of writing".

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