@@TheGCSEMathsTutor I have to disagree. Obviously your videos are great but the more I watch, the more I realise how less I know. They sure do help though.
Could you do Grade 9+ videos? I.e. Questions that are so hard they’re borderline Maths A Level stuff. I say this because when you’re thrown in the deep end, the once-difficult stuff isn’t as difficult anymore
@@jamsi1066 Oops I can’t copy-paste the TSR link. I’ll just write it now. Write on Google “TSR Grade 9 Maths Paper GCSE (and other difficult GCSE questions)- 2018 thread”
For the last question you can work out the value of x using simultaneous equations if you do the following: y = the multiplier between each term y(rootx-1)=1 and y=rootx+1 Solve via substitution and you get x=2. Then for the second part you can work out an equation for the nth term as we know the value of x we would do: (root2 +1) which is the value of y(the multiplier between terms) so nth term = n(root2 +1) +2 as you add 2 to (root2-1) to get (root2+1)
At 3:03 why do you rationalise the denominator by multiplying it by 2root2 +2 instead of 2root2 -2 like it is previously in the question. How do I know what I should be multiplying the denominator by.
What is the rule to simplify a fraction which has an integer as denominator and an addition or subtraction in the numerator? Until now I thought it would only possible to simplify using a common factor if we have multiplication. It was at 5:14 btw. 🤔
Don't EVER second guess what questions come up!!! That is a formula for failure!!! This guy gives you all principles / rules to pass with 9 everytime. Learn the principles!! Then the exam is super easy!!
(Im gonna use / as root) I’m a bit confused on why you added ( onto the 2/2 - 2 ) 2/2 + 2 can you please explain? Also at the end you got 16/2 + 16, why did you change it to 16( 1 + /2) where did the other 16 go?
You could do either methods, the second method you mention really over complicated something that can be rationalised in a much simpler way though, this is a very unique question which is why I highlighted it in this video 😁🙏🏼🙏🏼
he did a shortcut, the reason why is because if you multiply the 2root2 by the +2 and vice versa for the -2 then they cancel each other out. But of course, do expand them if you're not comfortable with doing shortcuts during an exam
for the last question when he got to the fractions: 1/√ x - 1 = √ x - 1/ 1 can someone explain why he multiplied the fractions like that? timestamp of this is 8:55 and he refers to it as cross multiplying
I wonder if 5b can be done using the geometric sequence formula... otherwise great video! I'm trying to revise a lot of topics in a short period of time so this video helped me a lot!
jake watkins I have done a selection of some of the hardest questions here - th-cam.com/video/NT_NPUx16_A/w-d-xo.html I am also planning on doing a few slightly slower paced videos but this should help 😁🙏🏼
Thanks for the vid, I especially enjoyed trying to work out the geometric sequence one (it was quite tough😅😂), just one question though: At 17:44, could it also just be c = a^2 d = 8 + 4a Instead of c = a^2 + 8 and d = 4a
no because a^2+(8+4a) root 2 is not the same as (a^2+8)+4a root 2. because (8+4a)root 2 = (8 root 2 +4a root 2) therefor (a^2 +8 root 2 +4 root2) is not the same as (a^2+8+4a root 2). PS. this reminds me of the questions which goes like: Saaim says "another answer is C= a^2 and D=8+4a" explain one reason Saaim could be wrong (2 marks) lol
Well I am an Indian ICSE 9th grader who solved all... Maybe it's just a matter of country syllabus that I thought these questions were included in my last year's syllabus
Im not sure if that question will come up but it Very crucial you know how to do it as it will 155% help when answering surds questions plus you never know exams are unpredictable at times so it good to be absoloutley prepeard.
i feel like he hasnt expanded this correctly. for the first two when he moves on to the bottom his quadratics he only multiplies onr by the other while on the top he multiplies everything by everythin
These ARE quoted as grade 7-9 and these are more for students that understand the topic and seek to practice or push themselves to a higher grade. If you dint understand the key concepts he has videos for them.
If anyone would like to support the channel you can buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼
@Justin Takehara LOL
@Justin Takehara why are these comments everywhere
if i somehow get a 7 then okay
Ight bro lemme get a 7 or 8 first
if i get an 8 then ill buy u 10 coffees
edit - i got an 8 but im too broke to buy u them sorry lad
these type of videos are the best ones! love the 7-9 maths series, so helpful
That’s so great to hear! I will try and do at least one of these per week for you 😁🙏🏼
With this guy I don't think we can call these questions hard anymore
Thanks for the kind words 😁🙏🏼
@@TheGCSEMathsTutor I have to disagree. Obviously your videos are great but the more I watch, the more I realise how less I know. They sure do help though.
This man has helped me so much. I can’t thank you enough. My grades have skyrocketed as a result of this channel. You are incredible!!
Could you do Grade 9+ videos? I.e. Questions that are so hard they’re borderline Maths A Level stuff. I say this because when you’re thrown in the deep end, the once-difficult stuff isn’t as difficult anymore
have you found videos like this ?
@@jamsi1066
Oops I can’t copy-paste the TSR link. I’ll just write it now. Write on Google “TSR Grade 9 Maths Paper GCSE (and other difficult GCSE questions)- 2018 thread”
@@jamsi1066
Bro I wrote you a massive paragraph of everything yet it disappeared 🗿
@@idrk1507 thank you so much !! and dw i think i can still see it is it the tsr grade 9 maths paper one ?
@@jamsi1066
My pleasure! And no it was much longer, maybe 40 lines. I’ll rewrite it again today :)
Your brain is enormous
ALPHACONIC Haha thank you! 😂😂😂
i really needed practice with surds so thank you so much for this
This is great, thank you sir!
Great to hear!! Thank you 😁🙏🏼
I got the last one correct at first try and it gave me the confidence for next week exam, THANK YOU
this has saved me for tomorrow thank you sir
Why did you use 2 root 2 +2 instead of 2 root 2 -2 on the first question at 3.05?
u reverse + or - if it's more than just a surd in the denominator
honestly quickfired ur surds videos watched them in 10 mins attempted these grade 9 questions gottem right thanks man
For the last question you can work out the value of x using simultaneous equations if you do the following:
y = the multiplier between each term
y(rootx-1)=1
and
y=rootx+1
Solve via substitution and you get x=2. Then for the second part you can work out an equation for the nth term as we know the value of x we would do:
(root2 +1) which is the value of y(the multiplier between terms)
so nth term = n(root2 +1) +2 as you add 2 to (root2-1) to get (root2+1)
At 9:22 , can't you multiply by 49 to get rid of the fraction so it matches the way they want it written? So can the answer be 1127+833root2 ?
u could only do that if it was equal to something, when getting rid of the denominator u have to multiply on both sides of an equation
these questions humbled me💀
I don't care
@@wishcom69 i dont care that u dont care
Same 😂
@@wishcom69wrd
It’s the fun part of maths whilst simultaneously scaring me because I can’t do it.
At 3:03 why do you rationalise the denominator by multiplying it by 2root2 +2 instead of 2root2 -2 like it is previously in the question.
How do I know what I should be multiplying the denominator by.
9:29 could I not just do the actual sum for this answer so actually divide 23 by 49 and divide 17 by 49 and get the answer of 0.5 + 0.35root2?
No, 23/49 is not 0.5
For the first question I got confused how you factorised 16root2 + 16 can anyone explain the steps ?
The same way you would factorise 16x+6=16(x+1) 😁🙏🏼
Pull out the 16, remove 16 from 16 root 2 and u get root 2. Remove 16 from 16 and u get 1. And j put them in the brackets
Very useful sir good job keep up your amazing work sir. Thank you for your time.
for the first question, why did you simplify the 16 down to a 1?
I was factorising 16 out to get it in the format the question wanted. So dividing them both by 16 essentially 😁🙏🏼
What is the rule to simplify a fraction which has an integer as denominator and an addition or subtraction in the numerator?
Until now I thought it would only possible to simplify using a common factor if we have multiplication.
It was at 5:14 btw. 🤔
rationalise
why did you times the top and bottom of the fraction by 2 root 2 + 2 on the first question?
Would any of these except the first one and maybe the second one actually come up in the papers?
tia 72 No reason why not! Just depends what grade of surds question the exams decide on! 😁🙏🏼
@@TheGCSEMathsTutor thanks sir
I had the last question come up in an assessment I did a few weeks ago so there's definitely a chance.
Don't EVER second guess what questions come up!!! That is a formula for failure!!! This guy gives you all principles / rules to pass with 9 everytime. Learn the principles!! Then the exam is super easy!!
on question 2, when you rationailized it you put 11+6 root 2, but i thought it would have been timsing the numerator and denominator by -11 -6 root 2
I feel relieved now sir😅.I thought surds were difficult to solve.Thank you very much
I don’t understand at 8:55 why you don’t multiply by 49 and instead choose to split the fraction.
(Im gonna use / as root) I’m a bit confused on why you added ( onto the 2/2 - 2 ) 2/2 + 2 can you please explain? Also at the end you got 16/2 + 16, why did you change it to 16( 1 + /2) where did the other 16 go?
Would these types of questions be non-calculator ?
King M these are usually always non-calculator 😁🙏🏼
Thank you so much for this video! At 10:43, why do you decide to rational the fraction using just 'root 2' rather than '1+1/root 2'?
You could do either methods, the second method you mention really over complicated something that can be rationalised in a much simpler way though, this is a very unique question which is why I highlighted it in this video 😁🙏🏼🙏🏼
My only regret is not finding your channel earlier 😢
For question 3, couldn't you just multiply it by 2-√2/2-√2 and get the answer by just simplifying?
Hello, i dont understand the 3:50 bit sir i thought we was supposed to do the 2root2 bit times the +2 but we did +2x-2 for -4 at the end
he did a shortcut, the reason why is because if you multiply the 2root2 by the +2 and vice versa for the -2 then they cancel each other out. But of course, do expand them if you're not comfortable with doing shortcuts during an exam
Can someone explain what happened at 3:03
Rationalizing... I think you should search it up on online
sir i have a question for the first surd question will you still get the correct answer even if you simplify the root 18
yeah I simplified it and still got 32 for that part
hi i just wanted to ask if you could write decimals instead of fractions for question 2 final answer.
for the last question when he got to the fractions: 1/√ x - 1 = √ x - 1/ 1 can someone explain why he multiplied the fractions like that? timestamp of this is 8:55 and he refers to it as cross multiplying
3:14 why was it 2 root 2 plus two and not minus ?
because you’re rationalising the denominator
1:52 why is it 36?
root 18 multiplied by root 2 is root 36
We are expanding the numerator.
17:18 why you cant simplify 8 to 2 root 2
Hi sir, I’m the first question why do we rationalise the number by multiplying it by +2 and not -2 ( 3:19 )
Thank you!
Because with roots you have 2 answers, for example root 25 can be either -5 x -5 or 5x5. So multiplying it by the opposite sign accounts for that
I wonder if 5b can be done using the geometric sequence formula... otherwise great video! I'm trying to revise a lot of topics in a short period of time so this video helped me a lot!
you will get in decimal ans
@@azrilhilmi952 It can be done using the Geometric formula and would give the proper answer albeit it's a fairly harder method.
at 3.52 dont you have to multiply both terms in the bracket?
can you do 3d pythagoras and trigonometry?
jake watkins I have done a selection of some of the hardest questions here - th-cam.com/video/NT_NPUx16_A/w-d-xo.html I am also planning on doing a few slightly slower paced videos but this should help 😁🙏🏼
@@TheGCSEMathsTutor could you send the link to the slower paced video`s
That last one got me but i understood in the end, just need to recap geometric sequences
24:00 3+2 how did you get the 2
i got it sorry there is always 1 before the roots
will these questions be on a calculator or non-calculator test
both
I had the first question in my mock exam, it was only 3 marks..
Which exam board is this please?
Hi in the second question how come you only did 11 x 11 and 6 root 2 x minus 6 root 2 and not 11 x 6 root 2?
Sir do these questions come often in exams? Thanks
XxUniquecornxX Quite often I’d say! But the new GCSE has only been running for a few years so we don’t have much past data to go by 😁🙏🏼
@@TheGCSEMathsTutor Thank you sir! Someone got the virus in our school, what do you think will happen to our gcses?
XxUniquecornxX I believe they will go ahead as planned 😁🙏🏼
@@Rafmee someone in my year got the virus so we had to self-isolate. at the way things are going maybe they'll get cancelled but we have mocks soon
is this calc or non calc?
Great video keep it up
Thank you! I’ll do my best 😁🙏🏼
Thanks for the vid, I especially enjoyed trying to work out the geometric sequence one (it was quite tough😅😂), just one question though:
At 17:44, could it also just be
c = a^2
d = 8 + 4a
Instead of c = a^2 + 8 and d = 4a
no because a^2+(8+4a) root 2 is not the same as (a^2+8)+4a root 2. because (8+4a)root 2 = (8 root 2 +4a root 2) therefor (a^2 +8 root 2 +4 root2) is not the same as (a^2+8+4a root 2). PS. this reminds me of the questions which goes like: Saaim says "another answer is C= a^2 and D=8+4a" explain one reason Saaim could be wrong (2 marks) lol
There we go, there we are!! No need to be a child!
Great 👌
Last minute vibes
Mock tmr 😂
Thanks
No problem 😁
9:32 that one was nasty
This was a difficult question.
who in their right mind would dislike this?!
thanks!
My pleasure! 😁🙏🏼
Make video about solving √(8-(√3)-(√2)+√(6+2(√3+√2+√6)))
thank you
So!! Brilliant
Well I am an Indian ICSE 9th grader who solved all... Maybe it's just a matter of country syllabus that I thought these questions were included in my last year's syllabus
this is very useful
Glad it was helpful! 😁😁
anyone got any answers to why 2 root 2 times root 2 is 4? shouldnt it be 8? since it becomes 2 root 4 then 2 times 4 is 8?
No because it is 2 X root 4 (which is 2) , not 2 times 4 like you say
cant believe i was doing this in year 8..
amazing
Glad you enjoyed it! 😁🙏🏼
Um.. okay so the second question when you had your answer the first fraction can actually cancel out leaving your answer to be um... 11÷23 + 17÷23√2
for the first one I got 8(2+ square root. 2)
Pls I had a squared +8+8a root 2
Hey... You can use (a-b)^2 and (a+b)^2 formula...
But you are just going to long multiplication ... 🙄
I last question, I don't actually understand the part b
Last question💀
😬😬😬
Good
i might be wrong but i think you rationalized the second question wrong
why is the fifth question so hard :(
Im not sure if that question will come up but it Very crucial you know how to do it as it will 155% help when answering surds questions plus you never know exams are unpredictable at times so it good to be absoloutley prepeard.
Can't you say some hard questions these all are very easy
i feel like he hasnt expanded this correctly. for the first two when he moves on to the bottom his quadratics he only multiplies onr by the other while on the top he multiplies everything by everythin
What do you mean?
That wasn't that bad
Too hard
this video makes no sense to me, he isnt even explaining why hes doing things he just doing them and expecting people to understand
Well maybe you are just a bit thick
These ARE quoted as grade 7-9 and these are more for students that understand the topic and seek to practice or push themselves to a higher grade. If you dint understand the key concepts he has videos for them.
Just watched one of ur other videos n this waa so easy peasy.
Thank you for ur servise, truly grateful 🫡
love gangy free ysl
Thank you