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

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  • Опубликовано: 1 фев 2025

Комментарии • 178

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor  4 года назад +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 года назад

      @Justin Takehara LOL

    • @fatimaahmad3681
      @fatimaahmad3681 3 года назад +1

      @Justin Takehara why are these comments everywhere

    • @mfz2856
      @mfz2856 3 года назад +3

      if i somehow get a 7 then okay

    • @3mkmedo176
      @3mkmedo176 3 года назад +4

      Ight bro lemme get a 7 or 8 first

    • @5kinz
      @5kinz Год назад

      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 5 лет назад +241

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  5 лет назад +39

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

  • @tpr1808
    @tpr1808 2 года назад +31

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  Год назад +5

      Thanks for the kind words 😁🙏🏼

    • @AppleApple-ux1be
      @AppleApple-ux1be Год назад +9

      @@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 7 месяцев назад +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!!

  • @rottinqangel
    @rottinqangel 2 года назад +275

    these questions humbled me💀

    • @wishcom69
      @wishcom69 Год назад +4

      I don't care

    • @rottinqangel
      @rottinqangel Год назад +78

      @@wishcom69 i dont care that u dont care

    • @nadiyai7092
      @nadiyai7092 Год назад +1

      Same 😂

    • @al3j_ndr053
      @al3j_ndr053 Год назад

      @@wishcom69wrd

    • @AppleApple-ux1be
      @AppleApple-ux1be Год назад +11

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

  • @idrk1507
    @idrk1507 2 года назад +99

    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 Год назад +2

      have you found videos like this ?

    • @idrk1507
      @idrk1507 Год назад +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 Год назад +2

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

    • @jamsi1066
      @jamsi1066 Год назад +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 Год назад +4

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

  • @juliethmoreno9251
    @juliethmoreno9251 Год назад +5

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

  • @cat-crewplayz952
    @cat-crewplayz952 2 года назад +3

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

  • @i4TheWinN
    @i4TheWinN 5 лет назад +48

    This is great, thank you sir!

  • @geetikagupta315
    @geetikagupta315 2 года назад +15

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

  • @sahnafthehumble7252
    @sahnafthehumble7252 5 лет назад +53

    Your brain is enormous

  • @Thomas-v1j4e
    @Thomas-v1j4e 11 месяцев назад +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)

  • @shay7533
    @shay7533 28 дней назад

    You have literally helped me soo much in my maths just want to say thank you

  • @hettysinclair9393
    @hettysinclair9393 3 года назад +11

    this has saved me for tomorrow thank you sir

  • @adili2405
    @adili2405 4 года назад +11

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

  • @Mathspaperks1ks2
    @Mathspaperks1ks2 4 года назад +10

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

  • @Kamile7899
    @Kamile7899 9 месяцев назад +2

    My only regret is not finding your channel earlier 😢

  • @MAN59724
    @MAN59724 2 года назад +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 года назад +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

  • @ameliaroberts9921
    @ameliaroberts9921 4 года назад +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 11 месяцев назад +1

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

  • @diegomandragora4327
    @diegomandragora4327 11 месяцев назад

    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 10 месяцев назад

      rationalise

  • @edenhines
    @edenhines 4 года назад +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 года назад

      you will get in decimal ans

    • @michaelmwesigwa8499
      @michaelmwesigwa8499 3 года назад +2

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

  • @robbolewis6878
    @robbolewis6878 2 года назад +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.

  • @beomgyusberry5773
    @beomgyusberry5773 4 года назад +4

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +2

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

  • @amlanbhowmik
    @amlanbhowmik 8 месяцев назад +1

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

  • @imietoadam
    @imietoadam 3 месяца назад

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

  • @bilalshelmani2486
    @bilalshelmani2486 3 года назад +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?

  • @millazigangirova2418
    @millazigangirova2418 8 месяцев назад

    (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?

  • @sanjanakamath3655
    @sanjanakamath3655 4 года назад +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 года назад +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 😁🙏🏼🙏🏼

  • @farah-vb4ti
    @farah-vb4ti 5 лет назад +4

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  5 лет назад +1

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

    • @farah-vb4ti
      @farah-vb4ti 5 лет назад +1

      @@TheGCSEMathsTutor thanks sir

    • @Ningalien
      @Ningalien 3 года назад

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

    • @magicalbabylullabies1192
      @magicalbabylullabies1192 3 года назад +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!!

  • @Cricketbolton
    @Cricketbolton 2 года назад

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

  • @glider5253
    @glider5253 2 года назад

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

  • @15kcx34
    @15kcx34 3 года назад +6

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +3

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

    • @abcdefghijklmnopqrstuvwyxz102
      @abcdefghijklmnopqrstuvwyxz102 Год назад

      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

  • @booksummarystation4207
    @booksummarystation4207 15 дней назад

    solved till 18:25

  • @Gmoney-Matthew7verse21
    @Gmoney-Matthew7verse21 10 месяцев назад +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 8 месяцев назад

      yeah I simplified it and still got 32 for that part

  • @ELLIPTICALWR
    @ELLIPTICALWR 2 года назад

    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 года назад +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

  • @saaimnaqvi8106
    @saaimnaqvi8106 3 года назад +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 года назад +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

  • @EmilyHenshaw-r9y
    @EmilyHenshaw-r9y Год назад

    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

  • @INFINITY_meZza
    @INFINITY_meZza 3 года назад +3

    Great video keep it up

  • @amanmirza2002
    @amanmirza2002 4 года назад +9

    Would these types of questions be non-calculator ?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +6

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

  • @Baguette_Lord12
    @Baguette_Lord12 Год назад

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

  • @imene7322
    @imene7322 2 года назад

    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!

    • @jerondsilva5784
      @jerondsilva5784 5 дней назад

      when u rationalise surds u must change the sign so thats why he did it

  • @trpp9586
    @trpp9586 4 года назад +8

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

  • @AyeshaNadeem-v7k
    @AyeshaNadeem-v7k 10 месяцев назад

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

  • @DavidGitonga-fe4el
    @DavidGitonga-fe4el 5 месяцев назад

    Great 👌

  • @Ss-bt4to
    @Ss-bt4to 2 года назад

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

  • @hosamsameh3726
    @hosamsameh3726 2 года назад

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

  • @jakewatkins5202
    @jakewatkins5202 5 лет назад +3

    can you do 3d pythagoras and trigonometry?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  5 лет назад +2

      jake watkins I have done a selection of some of the hardest questions here - ruclips.net/video/NT_NPUx16_A/видео.html I am also planning on doing a few slightly slower paced videos but this should help 😁🙏🏼

    • @mathsmadefun6484
      @mathsmadefun6484 4 года назад

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

  • @Anonymousview-s8l
    @Anonymousview-s8l Год назад

    Last minute vibes
    Mock tmr 😂

  • @maureensalama2390
    @maureensalama2390 3 года назад

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

  • @xiao7744
    @xiao7744 2 года назад +1

    Can someone explain what happened at 3:03

    • @averageplayer6495
      @averageplayer6495 2 года назад +1

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

  • @aaron-rs8kz
    @aaron-rs8kz 3 года назад

    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?

  • @ayushhongkong
    @ayushhongkong 3 года назад +2

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

  • @dearlilymusic
    @dearlilymusic 4 года назад +2

    1:52 why is it 36?

    • @adili2405
      @adili2405 4 года назад +2

      root 18 multiplied by root 2 is root 36

    • @atikahjadoon3282
      @atikahjadoon3282 4 месяца назад

      We are expanding the numerator.

  • @winger_om
    @winger_om 3 года назад

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

  • @Khaldoon.Arshad10
    @Khaldoon.Arshad10 Год назад +1

    Thanks

  • @mariamasanneh6918
    @mariamasanneh6918 3 года назад

    is this calc or non calc?

  • @bradysmudge
    @bradysmudge Год назад +1

    thanks!

  • @Rafmee
    @Rafmee 4 года назад +3

    Sir do these questions come often in exams? Thanks

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +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 года назад +1

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

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад

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

    • @aurixiaispreppy7454
      @aurixiaispreppy7454 4 года назад

      @@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

  • @nathanhawey294
    @nathanhawey294 3 года назад

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

    • @nathanhawey294
      @nathanhawey294 3 года назад

      i got it sorry there is always 1 before the roots

  • @asmaa1853
    @asmaa1853 Год назад

    this is very useful

  • @akirayuki5738
    @akirayuki5738 Год назад

    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

  • @Salwa88324
    @Salwa88324 Год назад

    Which exam board is this please?

  • @khadija2625
    @khadija2625 3 года назад +1

    who in their right mind would dislike this?!

  • @cheese-hf3jz
    @cheese-hf3jz 3 года назад

    thank you

  • @sourthakjackmcober29
    @sourthakjackmcober29 2 года назад +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 Год назад +1

    amazing

  • @JosephIgwe-ig8gn
    @JosephIgwe-ig8gn Год назад

    So!! Brilliant

  • @calcpost3641
    @calcpost3641 4 года назад +4

    9:32 that one was nasty

  • @chefpepe283
    @chefpepe283 Год назад +1

    cant believe i was doing this in year 8..

  • @Alkalosis
    @Alkalosis 3 года назад

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

  • @bonnisikhag.choudhury7991
    @bonnisikhag.choudhury7991 3 года назад +1

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

  • @Fancynancy-h5y
    @Fancynancy-h5y 29 дней назад

    ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh thank you thank yu thank you thank you thank yu thanks yu thank yu thank yu thank you thank you, this helped alottttttt

  • @akikabanu5885
    @akikabanu5885 3 года назад +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?

  • @bussinesssucessstories
    @bussinesssucessstories 3 месяца назад

    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

  • @nanakwame5688
    @nanakwame5688 2 года назад

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

  • @AjayiIsrael-th3xt
    @AjayiIsrael-th3xt Год назад

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

  • @ameliaroberts9921
    @ameliaroberts9921 4 года назад

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

  • @quickmathswithjesse3553
    @quickmathswithjesse3553 3 года назад

    Good

  • @mustafaefe6695
    @mustafaefe6695 2 года назад +3

    Last question💀

  • @tanzela6366
    @tanzela6366 4 года назад +1

    why is the fifth question so hard :(

    • @DigitalScalingAgency
      @DigitalScalingAgency 2 года назад +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 года назад +1

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

  • @mariahoque2644
    @mariahoque2644 Год назад

    Too hard

  • @Tiktoksuperior1234yt
    @Tiktoksuperior1234yt Год назад

    That wasn't that bad

  • @oscargodard5803
    @oscargodard5803 Год назад +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 9 месяцев назад +1

      Well maybe you are just a bit thick

    • @iliketrainzes6522
      @iliketrainzes6522 8 месяцев назад +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 8 месяцев назад

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

  • @vm1429
    @vm1429 2 года назад +2

    love gangy free ysl

  • @mdrobinbhuiyan8824
    @mdrobinbhuiyan8824 Год назад

    Thank you