The 5 Hardest Surds Questions | Grade 7-9 Maths Series | GCSE Maths Tutor

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  • เผยแพร่เมื่อ 22 ธ.ค. 2024

ความคิดเห็น • 176

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  4 ปีที่แล้ว +30

    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! 😁🙏🏼

    • @loveyourself8458
      @loveyourself8458 3 ปีที่แล้ว

      @Justin Takehara LOL

    • @fatimaahmad3681
      @fatimaahmad3681 3 ปีที่แล้ว +1

      @Justin Takehara why are these comments everywhere

    • @mfz2856
      @mfz2856 3 ปีที่แล้ว +3

      if i somehow get a 7 then okay

    • @3mkmedo176
      @3mkmedo176 3 ปีที่แล้ว +4

      Ight bro lemme get a 7 or 8 first

    • @5kinz
      @5kinz 11 หลายเดือนก่อน

      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

  • @KK-mk8xb
    @KK-mk8xb 4 ปีที่แล้ว +236

    these type of videos are the best ones! love the 7-9 maths series, so helpful

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +39

      That’s so great to hear! I will try and do at least one of these per week for you 😁🙏🏼

  • @tpr1808
    @tpr1808 ปีที่แล้ว +27

    With this guy I don't think we can call these questions hard anymore

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  ปีที่แล้ว +3

      Thanks for the kind words 😁🙏🏼

    • @AppleApple-ux1be
      @AppleApple-ux1be ปีที่แล้ว +8

      @@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.

  • @adhalex4778
    @adhalex4778 6 หลายเดือนก่อน +4

    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!!

  • @idrk1507
    @idrk1507 2 ปีที่แล้ว +98

    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
      @jamsi1066 ปีที่แล้ว +2

      have you found videos like this ?

    • @idrk1507
      @idrk1507 ปีที่แล้ว +7

      @@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”

    • @idrk1507
      @idrk1507 ปีที่แล้ว +2

      @@jamsi1066
      Bro I wrote you a massive paragraph of everything yet it disappeared 🗿

    • @jamsi1066
      @jamsi1066 ปีที่แล้ว +2

      @@idrk1507 thank you so much !! and dw i think i can still see it is it the tsr grade 9 maths paper one ?

    • @idrk1507
      @idrk1507 ปีที่แล้ว +4

      @@jamsi1066
      My pleasure! And no it was much longer, maybe 40 lines. I’ll rewrite it again today :)

  • @sahnafthehumble7252
    @sahnafthehumble7252 4 ปีที่แล้ว +52

    Your brain is enormous

  • @geetikagupta315
    @geetikagupta315 2 ปีที่แล้ว +15

    i really needed practice with surds so thank you so much for this

  • @i4TheWinN
    @i4TheWinN 4 ปีที่แล้ว +48

    This is great, thank you sir!

  • @juliethmoreno9251
    @juliethmoreno9251 ปีที่แล้ว +5

    I got the last one correct at first try and it gave me the confidence for next week exam, THANK YOU

  • @hettysinclair9393
    @hettysinclair9393 3 ปีที่แล้ว +11

    this has saved me for tomorrow thank you sir

  • @adili2405
    @adili2405 4 ปีที่แล้ว +11

    Why did you use 2 root 2 +2 instead of 2 root 2 -2 on the first question at 3.05?

    • @axeleli6845
      @axeleli6845 3 ปีที่แล้ว +4

      u reverse + or - if it's more than just a surd in the denominator

  • @cat-crewplayz952
    @cat-crewplayz952 2 ปีที่แล้ว +3

    honestly quickfired ur surds videos watched them in 10 mins attempted these grade 9 questions gottem right thanks man

  • @Thomas-v1j4e
    @Thomas-v1j4e 9 หลายเดือนก่อน +1

    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)

  • @MAN59724
    @MAN59724 2 ปีที่แล้ว +2

    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 ?

    • @Константин-г2у7н
      @Константин-г2у7н 2 ปีที่แล้ว +2

      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

  • @rottinqangel
    @rottinqangel 2 ปีที่แล้ว +269

    these questions humbled me💀

    • @wishcom69
      @wishcom69 ปีที่แล้ว +4

      I don't care

    • @rottinqangel
      @rottinqangel ปีที่แล้ว +78

      @@wishcom69 i dont care that u dont care

    • @nadiyai7092
      @nadiyai7092 ปีที่แล้ว +1

      Same 😂

    • @al3j_ndr053
      @al3j_ndr053 ปีที่แล้ว

      @@wishcom69wrd

    • @AppleApple-ux1be
      @AppleApple-ux1be ปีที่แล้ว +11

      It’s the fun part of maths whilst simultaneously scaring me because I can’t do it.

  • @robbolewis6878
    @robbolewis6878 2 ปีที่แล้ว +3

    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.

  • @bilalshelmani2486
    @bilalshelmani2486 3 ปีที่แล้ว +3

    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?

    • @garrybeck216
      @garrybeck216 3 ปีที่แล้ว

      No, 23/49 is not 0.5

  • @15kcx34
    @15kcx34 3 ปีที่แล้ว +6

    For the first question I got confused how you factorised 16root2 + 16 can anyone explain the steps ?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 ปีที่แล้ว +3

      The same way you would factorise 16x+6=16(x+1) 😁🙏🏼

    • @abcdefghijklmnopqrstuvwyxz102
      @abcdefghijklmnopqrstuvwyxz102 ปีที่แล้ว

      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

  • @Mathspaperks1ks2
    @Mathspaperks1ks2 3 ปีที่แล้ว +10

    Very useful sir good job keep up your amazing work sir. Thank you for your time.

  • @beomgyusberry5773
    @beomgyusberry5773 4 ปีที่แล้ว +4

    for the first question, why did you simplify the 16 down to a 1?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +2

      I was factorising 16 out to get it in the format the question wanted. So dividing them both by 16 essentially 😁🙏🏼

  • @diegomandragora4327
    @diegomandragora4327 9 หลายเดือนก่อน

    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. 🤔

    • @5kinz
      @5kinz 9 หลายเดือนก่อน

      rationalise

  • @imietoadam
    @imietoadam 2 หลายเดือนก่อน

    why did you times the top and bottom of the fraction by 2 root 2 + 2 on the first question?

  • @farah-vb4ti
    @farah-vb4ti 4 ปีที่แล้ว +4

    Would any of these except the first one and maybe the second one actually come up in the papers?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +1

      tia 72 No reason why not! Just depends what grade of surds question the exams decide on! 😁🙏🏼

    • @farah-vb4ti
      @farah-vb4ti 4 ปีที่แล้ว +1

      @@TheGCSEMathsTutor thanks sir

    • @adityashijikumar1131
      @adityashijikumar1131 3 ปีที่แล้ว

      I had the last question come up in an assessment I did a few weeks ago so there's definitely a chance.

    • @magicalbabylullabies1192
      @magicalbabylullabies1192 2 ปีที่แล้ว +1

      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!!

  • @ameliaroberts9921
    @ameliaroberts9921 4 ปีที่แล้ว +4

    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

    • @SimonKissi-j9k
      @SimonKissi-j9k 9 หลายเดือนก่อน +1

      I feel relieved now sir😅.I thought surds were difficult to solve.Thank you very much

  • @Cricketbolton
    @Cricketbolton 2 ปีที่แล้ว

    I don’t understand at 8:55 why you don’t multiply by 49 and instead choose to split the fraction.

  • @millazigangirova2418
    @millazigangirova2418 6 หลายเดือนก่อน

    (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?

  • @amanmirza2002
    @amanmirza2002 4 ปีที่แล้ว +9

    Would these types of questions be non-calculator ?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +6

      King M these are usually always non-calculator 😁🙏🏼

  • @sanjanakamath3655
    @sanjanakamath3655 4 ปีที่แล้ว +10

    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'?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +5

      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 😁🙏🏼🙏🏼

  • @Kamile7899
    @Kamile7899 7 หลายเดือนก่อน +2

    My only regret is not finding your channel earlier 😢

  • @amlanbhowmik
    @amlanbhowmik 7 หลายเดือนก่อน +1

    For question 3, couldn't you just multiply it by 2-√2/2-√2 and get the answer by just simplifying?

  • @ELLIPTICALWR
    @ELLIPTICALWR 2 ปีที่แล้ว

    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

    • @yourlocalpostman
      @yourlocalpostman 2 ปีที่แล้ว +1

      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

  • @xiao7744
    @xiao7744 2 ปีที่แล้ว +1

    Can someone explain what happened at 3:03

    • @averageplayer6495
      @averageplayer6495 2 ปีที่แล้ว +1

      Rationalizing... I think you should search it up on online

  • @Gmoney-Matthew7verse21
    @Gmoney-Matthew7verse21 8 หลายเดือนก่อน +1

    sir i have a question for the first surd question will you still get the correct answer even if you simplify the root 18

    • @safiyyahbland553
      @safiyyahbland553 7 หลายเดือนก่อน

      yeah I simplified it and still got 32 for that part

  • @AyeshaNadeem-v7k
    @AyeshaNadeem-v7k 8 หลายเดือนก่อน

    hi i just wanted to ask if you could write decimals instead of fractions for question 2 final answer.

  • @EmilyHenshaw-r9y
    @EmilyHenshaw-r9y ปีที่แล้ว

    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

  • @maureensalama2390
    @maureensalama2390 3 ปีที่แล้ว

    3:14 why was it 2 root 2 plus two and not minus ?

    • @QuaternionPhysics1
      @QuaternionPhysics1 3 ปีที่แล้ว

      because you’re rationalising the denominator

  • @dearlilymusic
    @dearlilymusic 4 ปีที่แล้ว +2

    1:52 why is it 36?

    • @adili2405
      @adili2405 4 ปีที่แล้ว +2

      root 18 multiplied by root 2 is root 36

    • @atikahjadoon3282
      @atikahjadoon3282 2 หลายเดือนก่อน

      We are expanding the numerator.

  • @hosamsameh3726
    @hosamsameh3726 2 ปีที่แล้ว

    17:18 why you cant simplify 8 to 2 root 2

  • @imene7322
    @imene7322 2 ปีที่แล้ว

    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!

    • @gtee5843
      @gtee5843 ปีที่แล้ว +1

      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

  • @edenhines
    @edenhines 3 ปีที่แล้ว +4

    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!

    • @azrilhilmi952
      @azrilhilmi952 3 ปีที่แล้ว

      you will get in decimal ans

    • @michaelmwesigwa8499
      @michaelmwesigwa8499 3 ปีที่แล้ว +2

      @@azrilhilmi952 It can be done using the Geometric formula and would give the proper answer albeit it's a fairly harder method.

  • @ayushhongkong
    @ayushhongkong 3 ปีที่แล้ว +2

    at 3.52 dont you have to multiply both terms in the bracket?

  • @jakewatkins5202
    @jakewatkins5202 4 ปีที่แล้ว +3

    can you do 3d pythagoras and trigonometry?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +2

      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 😁🙏🏼

    • @mathsmadefun6484
      @mathsmadefun6484 4 ปีที่แล้ว

      @@TheGCSEMathsTutor could you send the link to the slower paced video`s

  • @glider5253
    @glider5253 2 ปีที่แล้ว

    That last one got me but i understood in the end, just need to recap geometric sequences

  • @nathanhawey294
    @nathanhawey294 3 ปีที่แล้ว

    24:00 3+2 how did you get the 2

    • @nathanhawey294
      @nathanhawey294 3 ปีที่แล้ว

      i got it sorry there is always 1 before the roots

  • @Baguette_Lord12
    @Baguette_Lord12 ปีที่แล้ว

    will these questions be on a calculator or non-calculator test

  • @trpp9586
    @trpp9586 4 ปีที่แล้ว +8

    I had the first question in my mock exam, it was only 3 marks..

  • @Salwa88324
    @Salwa88324 11 หลายเดือนก่อน

    Which exam board is this please?

  • @aaron-rs8kz
    @aaron-rs8kz 2 ปีที่แล้ว

    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?

  • @Rafmee
    @Rafmee 4 ปีที่แล้ว +3

    Sir do these questions come often in exams? Thanks

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว +2

      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 😁🙏🏼

    • @Rafmee
      @Rafmee 4 ปีที่แล้ว +1

      @@TheGCSEMathsTutor Thank you sir! Someone got the virus in our school, what do you think will happen to our gcses?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 ปีที่แล้ว

      XxUniquecornxX I believe they will go ahead as planned 😁🙏🏼

    • @aurixiaispreppy7454
      @aurixiaispreppy7454 4 ปีที่แล้ว

      @@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

  • @mariamasanneh6918
    @mariamasanneh6918 2 ปีที่แล้ว

    is this calc or non calc?

  • @INFINITY_meZza
    @INFINITY_meZza 2 ปีที่แล้ว +3

    Great video keep it up

  • @saaimnaqvi8106
    @saaimnaqvi8106 3 ปีที่แล้ว +6

    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

    • @samm9849
      @samm9849 2 ปีที่แล้ว +4

      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

  • @Ss-bt4to
    @Ss-bt4to 2 ปีที่แล้ว

    There we go, there we are!! No need to be a child!

  • @DavidGitonga-fe4el
    @DavidGitonga-fe4el 4 หลายเดือนก่อน

    Great 👌

  • @Anonymousview-s8l
    @Anonymousview-s8l ปีที่แล้ว

    Last minute vibes
    Mock tmr 😂

  • @Khaldoon.Arshad10
    @Khaldoon.Arshad10 ปีที่แล้ว +1

    Thanks

  • @calcpost3641
    @calcpost3641 3 ปีที่แล้ว +4

    9:32 that one was nasty

  • @khadija2625
    @khadija2625 3 ปีที่แล้ว +1

    who in their right mind would dislike this?!

  • @bradysmudge
    @bradysmudge ปีที่แล้ว +1

    thanks!

  • @winger_om
    @winger_om 3 ปีที่แล้ว

    Make video about solving √(8-(√3)-(√2)+√(6+2(√3+√2+√6)))

  • @cheese-hf3jz
    @cheese-hf3jz 3 ปีที่แล้ว

    thank you

  • @JosephIgwe-ig8gn
    @JosephIgwe-ig8gn ปีที่แล้ว

    So!! Brilliant

  • @sourthakjackmcober29
    @sourthakjackmcober29 2 ปีที่แล้ว +5

    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

  • @asmaa1853
    @asmaa1853 ปีที่แล้ว

    this is very useful

  • @akikabanu5885
    @akikabanu5885 2 ปีที่แล้ว +1

    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?

    • @magicalbabylullabies1192
      @magicalbabylullabies1192 2 ปีที่แล้ว +1

      No because it is 2 X root 4 (which is 2) , not 2 times 4 like you say

  • @chefpepe283
    @chefpepe283 ปีที่แล้ว +1

    cant believe i was doing this in year 8..

  • @asmaa1853
    @asmaa1853 ปีที่แล้ว +1

    amazing

  • @akirayuki5738
    @akirayuki5738 ปีที่แล้ว

    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

  • @Alkalosis
    @Alkalosis 3 ปีที่แล้ว

    for the first one I got 8(2+ square root. 2)

  • @nanakwame5688
    @nanakwame5688 2 ปีที่แล้ว

    Pls I had a squared +8+8a root 2

  • @bonnisikhag.choudhury7991
    @bonnisikhag.choudhury7991 3 ปีที่แล้ว +1

    Hey... You can use (a-b)^2 and (a+b)^2 formula...
    But you are just going to long multiplication ... 🙄

  • @AjayiIsrael-th3xt
    @AjayiIsrael-th3xt ปีที่แล้ว

    I last question, I don't actually understand the part b

  • @mustafaefe6695
    @mustafaefe6695 2 ปีที่แล้ว +3

    Last question💀

  • @quickmathswithjesse3553
    @quickmathswithjesse3553 3 ปีที่แล้ว

    Good

  • @ameliaroberts9921
    @ameliaroberts9921 4 ปีที่แล้ว

    i might be wrong but i think you rationalized the second question wrong

  • @tanzela6366
    @tanzela6366 4 ปีที่แล้ว +1

    why is the fifth question so hard :(

    • @DigitalScalingAgency
      @DigitalScalingAgency 2 ปีที่แล้ว +1

      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.

  • @marvelousgamingverse7302
    @marvelousgamingverse7302 3 ปีที่แล้ว +1

    Can't you say some hard questions these all are very easy

  • @bussinesssucessstories
    @bussinesssucessstories 2 หลายเดือนก่อน

    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

  • @SuperiourFN
    @SuperiourFN ปีที่แล้ว

    That wasn't that bad

  • @mariahoque2644
    @mariahoque2644 ปีที่แล้ว

    Too hard

  • @oscargodard5803
    @oscargodard5803 ปีที่แล้ว +1

    this video makes no sense to me, he isnt even explaining why hes doing things he just doing them and expecting people to understand

    • @toxicstorm5924
      @toxicstorm5924 7 หลายเดือนก่อน +1

      Well maybe you are just a bit thick

    • @iliketrainzes6522
      @iliketrainzes6522 6 หลายเดือนก่อน +2

      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.

  • @ninaluv1
    @ninaluv1 7 หลายเดือนก่อน

    Just watched one of ur other videos n this waa so easy peasy.
    Thank you for ur servise, truly grateful 🫡

  • @vm1429
    @vm1429 ปีที่แล้ว +2

    love gangy free ysl

  • @mdrobinbhuiyan8824
    @mdrobinbhuiyan8824 ปีที่แล้ว

    Thank you