Maths Extension 1 Predictions/Thoughts (1 Viewer)

[mohitmo]

is 2022 or 2023 the hardest new syllabus paper?

2022

 

[askit]

As someone who did the e1 hsc last year, don't place too much emphasis on the previous years testing - everyone was weary of another large sample proportion question but we got hit with a nasty vector proof - also look at areas which NESA hasn't tested as much since theres a high likelihood their pop up this year - gud luck

 

[Hejjwheh23]

As someone who did the e1 hsc last year, don't place too much emphasis on the previous years testing - everyone was weary of another large sample proportion question but we got hit with a nasty vector proof - also look at areas which NESA hasn't tested as much since theres a high likelihood their pop up this year - gud luck

So do you know of any areas that nesa hasn't tested a lot?

 

[Herbs!]

So do you know of any areas that nesa hasn't tested a lot?

im predicting theres gonna be a pidgeon hole q cause its being removed from the new ex 1 syllabus and they may want to test us on it before it leaves. same with t formula but theyd be the easier questions.

 

[zackbekro123]

How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)

 

[K1uggie]

How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)

Find the range of the inner function and then apply it to the domain of the outer function

 

[C2H6O]

How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)

Firstly know the range of the 'outside' function. for your first example the range of cos^-1 is 0<y<pi. the overall function cos^-1(tanx) can only be defined in this range.

Secondly look at the domain of the 'outside' function, which is -1<x<1. Compare this to the range of the 'inside' function, in this case tanx which is defined for all real y. Now know that cos^-1 will only take in numbers between -1 and 1 as input, so the overall function will only be defined where tanx (the 'input') is between -1 and 1 which we know is between the multiples of pi/4

Just to do your second example, sin is defined for all real x, and y between -1 and 1. tan^-1 all real x and y between -pi/2 and pi/2.
the overall function will have the same range as sin (-1<y<1), and the domain will be defined where x is real (bc numbers between -pi/2 and pi/2 are real)

 

[Hejjwheh23]

How do you find domain and range of inverse trig graphs within a trig graph e.g. cos inverse (tanx) or sin(tan inverse x)

Check out this vid from Hok's Tutoring on youtube:


Domain and Range of Composite Functions - Circular Functions

 

[hjsml]

What are hard 3U trials to do for practise? I've done the hsc ones already.

NSB 2022 should be illegal

 

[shoulfer]

NSB 2022 should be illegal

I did it today its not that bad besides part 3 of that one question with the circle and t , t1, t2 stuff. and I didn't spot the sine rule on part 2 of the final proj mot rest of it is pretty standard stuff

 

[afourgridbook]

nesa hasnt really tested on forces or binomial proofs yet right?

 

[RancidMathematician123]

who told you this is 2024 paper?

Ignore the bloke it is a question on the NESA sample paper lmao

 

[realjohnpork]

nesa hasnt really tested on forces or binomial proofs yet right?

They have done a few pulley questions and an 8 mark combinatorics question in 2020 (with like 3 shows) so I wouldn't count them out this year. Perhaps they will do a big thing on vector forces this year (just a thought cuz they havent put much emphasis on it in previous years)

 

[RancidMathematician123]

nesa hasnt really tested on forces or binomial proofs yet right?

Balancing of forces- No. Binomial proofs appeared heaps in the old course, but the only real year that focussed on binomial theorem was 2020. Probably worth reviewing

 

[Hejjwheh23]

Yo, I know it may be too late but if anyone wants to check this out just incase there is some binomial identity proofs tomorrow. This channel has a 4 part tutorial/lesson on them.

 

[Herbs!]

Yo, I know it may be too late but if anyone wants to check this out just incase there is some binomial identity proofs. This channel has a 4 part tutorial/lesson on them.

last minute study grind

 

[Hejjwheh23]

last minute study grind

Lol yeah, i just watched the vids in 2x speed ahaha

 

[afourgridbook]

does anyone have tips on managing time during the exam? i always struggle with this and im left with 15-20 mins to complete q14

 

[cute lil monkey]

We definitely getting trig sub integral

 

[C2H6O]

does anyone have tips on managing time during the exam? i always struggle with this and im left with 15-20 mins to complete q14

It’s different for every person, and because it works for me doesn’t mean it’ll work for you, but I like to spend a majority of reading time doing the multi choice. Also allocate 25 min MAX on each question, if you notice you’re about to go over answer as many questions as possible and jot down all your ideas for difficult questions and do the base case + assumption for any induction questions to scrape as many marks and move on. Always try to stay ahead of time without affecting quality. When you’re up to the difficult questions and there’s like less than 30 left and you’re stumped, go back over your paper and answer any easy questions you left, then go back to the hard question which might require some staring and thinking. Repeat every 7 ish min if you’re really stumped to maximise marks in easy sections and mc.