The 5 Hardest Algebraic Fractions Exam Questions | Grade 7-9 Series | GCSE Maths Tutor

A video revising the techniques and strategies for working with 5 of the hardest questions on algebraic fractions. (Higher Only).
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series focussed on equations and sequences.
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - • Everything for a Grade...
All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - • All The Topics You NEE...
More videos in the Equations and Sequences series:
All of Algebra in just over 1 hour!!! - • All of Algebra in just...
Part 1 - Graph Transformations - • Graph Transformations ...
Part 2 - Inverse Functions - • Inverse Functions | Gr...
Part 3 - Composite Functions - • Composite Functions | ...
Part 4 - Iterations - • Iterations | General I...
Part 5 - Algebraic Proof - • Algebraic Proof | Grad...
Part 6 - Solving Quadratic Equations - • Solving Quadratic Equa...
Part 7 - The Quadratic Formula - • How to Use the Quadrat...
Part 8 - Quadratic Simultaneous Equations - • Quadratic Simultaneous...
Part 9 - Algebraic Fractions (Part 1) - • Algebraic Fractions | ...
Part 10 - Harder Algebraic Fractions (Part 2) - • The 5 Hardest Algebrai...
Part 11 - Solving Equations with Algebraic Fractions -
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These are the new revision guides I recommend 💡
Higher - New Grade 9-1 GCSE Maths Edexcel Student Book - Higher (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/366PltG
Foundation - New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/2PpbjBF
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Пікірлер: 141

  • @TheGCSEMathsTutor
    @TheGCSEMathsTutor4 жыл бұрын

    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! 😁🙏🏼

  • @calcpost3641

    @calcpost3641

    3 жыл бұрын

    Sir, at 24:50 when would you know to do that because possibly there is a xsquared and a x and a number, so couldnt it be a quadratic? i got 12xsquared -8x-6

  • @olliecole7163
    @olliecole71632 жыл бұрын

    Maths is the only subject where you feel a great sense of achievement when you complete a question and it's correct

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    2 жыл бұрын

    I totally get that! Great feeling 😁🙏🏼

  • @Dazzletoad

    @Dazzletoad

    Жыл бұрын

    If you limit yourself to just mathematics it is.

  • @AppleApple-ux1be

    @AppleApple-ux1be

    Жыл бұрын

    @@Dazzletoad Not really. Plus maths is the only subject where you can enjoy doing questions.

  • @Dazzletoad

    @Dazzletoad

    Жыл бұрын

    @@AppleApple-ux1be Not really? Lol. As for your statement that maths is the only subject that you can enjoy doing questions, have you heard of philosophy? 🤦🏻‍♂️

  • @AppleApple-ux1be

    @AppleApple-ux1be

    Жыл бұрын

    @@Dazzletoad Yes I have. I said my own opinion. I didn’t say it’s a fact. Plus your statement is also an opinion because saying that the guy who wrote the comment is only correct if you only do maths is incorrect. It’s an opinion. What you like probably isn’t what I like.

  • @lolllhello7718
    @lolllhello77184 жыл бұрын

    I watched the full advert so you get $$$ 😂😂hahaha

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    Haha thank you 😁🙏🏼

  • @jameschester7839
    @jameschester78394 жыл бұрын

    Ouch that question 5 looks so hard and you made it seem so easy 😱😱😱 Thank you!!!! Love the extra question too that’s a great trick thanks for that

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    James Chester Great to hear! Glad it’s helpful 😁🙏🏼

  • @olliecole7163

    @olliecole7163

    2 жыл бұрын

    One thing I'd say is, if you ever see a fraction, ignore all the algebra to start with and go back to the basic rules of adding and subtracting fractions. Once you have a common denominator everything becomes so much more friendly and straightforward.

  • @nathanhawey294
    @nathanhawey2942 жыл бұрын

    I am doing A level maths A level further maths and this still helps me with proof by induction!!!The moment you are smashing these questions notice that you are doing really good.

  • @mustafatarek6739
    @mustafatarek67393 жыл бұрын

    why is this so hard, please dont tell me this is gonna come up in the gcse mock?

  • @Masowe.
    @Masowe.3 жыл бұрын

    just learnt something new...they can say give your answer as a+b knowing that b is a negative....Thank you so much for the great video

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    3 жыл бұрын

    COSTIE TV It’s a little sneaky way to lose a mark (or gain one now you know!!) 😁🙏🏼🙏🏼

  • @Masowe.

    @Masowe.

    3 жыл бұрын

    @@TheGCSEMathsTutor that's very true...i lost marks on the first question trying to make it as they asked but i have given up as i kept trying while getting the same values which i thought were wrong..Again thanks!

  • @redpanda3416
    @redpanda34163 жыл бұрын

    Thank you so so SOO much, I would pay for this quality content!!

  • @a_draw5814
    @a_draw58143 жыл бұрын

    Thx so much! My mum and I have so much fun going through and seeing who can complete the answers the quickest. You’ve made it so simple to calculate 😃

  • @GUFYP567

    @GUFYP567

    2 жыл бұрын

    who won?

  • @momtazkhanom4336

    @momtazkhanom4336

    6 ай бұрын

    me @@GUFYP567

  • @gamer-xd3eh
    @gamer-xd3eh3 жыл бұрын

    thanks for this video, i had 2, 3 markers on this topic, and they were both on the first 2 questions that you explained, thank you so much, much appreciated. 😁🙏🏼. all the questions that you've gone through have mostly been in my Yr. 11 assessment paper, looks like my school are copying questions from your video

  • @tomshuter5248
    @tomshuter52483 жыл бұрын

    thank you so much man i couldn`t thank you enough!!

  • @aaryanramani1699
    @aaryanramani16993 жыл бұрын

    End of Unit Test on Thursday, so I'm back. Thanks again for a great video on the hardest stuff in Maths...

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    3 жыл бұрын

    Amazing news hope it went ok! Glad it’s helping 😁🙏🏼🙏🏼🙏🏼

  • @unepersonneunepersonne3206
    @unepersonneunepersonne32062 жыл бұрын

    Thank you for your magic videos. So concise and clear. 👌🏼

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    2 жыл бұрын

    No problem at all! Glad you are enjoying the channel 😁🙏🏼

  • @oliviaaa2324
    @oliviaaa23242 жыл бұрын

    I love this guy with all my heart. thank you

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    2 жыл бұрын

    Thank you! 😁🙏🏼🙏🏼

  • @ashfaqchoudhury9986
    @ashfaqchoudhury99864 жыл бұрын

    Great video, the last trick was really helpful thank you

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    Ashfaq Choudhury Great to hear!! Glad it’s useful 😁🙏🏼

  • @aysen5061
    @aysen5061 Жыл бұрын

    wanted go say thankyou sooooo much bc i went from a 4 to 7 in only 1 month before gcse and came out with a 7 and 5 marks off an 8

  • @jobleboble4137

    @jobleboble4137

    2 ай бұрын

    Yo bro what did you do for this. I dont really have enough time as my first maths exam is on the 16th.

  • @tahakarim1901
    @tahakarim19013 жыл бұрын

    Best math channel ever!!

  • @Yasser-hy8tn
    @Yasser-hy8tn3 жыл бұрын

    Last minute revision coming in clutch

  • @shaheryarchishty4190
    @shaheryarchishty41904 жыл бұрын

    Hi sir, really helpful video, the question 4/2x+1 + 1/4x^2-1=3 I was confused on why you didn't multiply 1 by 2x+1 and just left it as 1 when adding 8x-4 + 1. I would appreciate the help.

  • @joshuakhamesi9277
    @joshuakhamesi92774 жыл бұрын

    You are an amazing person thank youuu

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    Joshua Khamesi thank you 😁🙏🏼

  • @cameronlittle7396
    @cameronlittle73963 жыл бұрын

    wow what an amazing video. The best thing since sliced bread

  • @jjoyi
    @jjoyi3 жыл бұрын

    at 20:48 why don't you times by 2x+1

  • @mya.tatum.
    @mya.tatum.2 жыл бұрын

    Wow amazing tysm!!!

  • @ZebecZT
    @ZebecZT4 жыл бұрын

    Thank you so much, because of you today i got 79 of 80 marks! Its foundation though and i would like to start higher now but idk if i should, what do you think??

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    That is absolutely incredible! Personally I think it’s too close to the exams to make the change now, I would prefer to just keep working hard and go into the exam super confident that you will come out with the 5! But don’t let that change your mind if you are set on pushing further, there will be a lot of new topics to learn of-course! 😁🙏🏼

  • @ZebecZT

    @ZebecZT

    4 жыл бұрын

    @@TheGCSEMathsTutor3 months ago i was getting 20 marks now im hitting 70 every paper ive revised sooo much however I would love to do higher but im super scared i will fail maths and get a U😓

  • @ninjasway9897

    @ninjasway9897

    3 жыл бұрын

    @@ZebecZT what did u get

  • @mya.tatum.

    @mya.tatum.

    2 жыл бұрын

    @@ZebecZT did you switch to higher? What did you get i need an update!! 😫💗

  • @joedk-hs7cu

    @joedk-hs7cu

    2 жыл бұрын

    @@ZebecZT hi?

  • @particleonazock2246
    @particleonazock22463 жыл бұрын

    Thanks for this and all your other splendid, spiffing videos. Thanks to you, I got 1/120 for my cohort in GCSE mocks for math. Extremely helpful and instructive videos.

  • @WardaArshadOfficial
    @WardaArshadOfficial7 ай бұрын

    thank u soo much helped alot

  • @tess6484
    @tess6484 Жыл бұрын

    hi sir i have a question what if we dont divide by 4 at 23:26 , and we factorise that would be 4x(3x=2)=0 so x=-4 and x=-2/3 is that right?

  • @user-tg1zf6ow4o
    @user-tg1zf6ow4o2 жыл бұрын

    Absolutely love that you make videos for people who are aiming for higher as most other people only make it for grade 6s

  • @theotheoth
    @theotheoth Жыл бұрын

    Dear Maths Tutor, I have a question where you are first asked to fully factorise a quadratic expression (that is equal to 0), then use the answer to solve another equation (with x-values and equal to 0). Do you have a video on that? Thanks.

  • @hybridkudaz6697
    @hybridkudaz6697 Жыл бұрын

    thanks i rteally needed this video

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    Жыл бұрын

    Glad I could help 😁

  • @sahnafthehumble7252
    @sahnafthehumble72524 жыл бұрын

    God bless you and your high IQ

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    Thank you 😁🙏🏼

  • @Ecclessia
    @Ecclessia2 жыл бұрын

    At 16:19 why do you add the double brackets instead of multiply sorry if dumb question

  • @Thrawnio
    @Thrawnio Жыл бұрын

    Thank you for this gem of a video!

  • @riyapatil3137
    @riyapatil31373 жыл бұрын

    Hi, I don't really understand the question at 20:50. Could you please explain it in a simpler way maybe in the comments? Thanks x

  • @adidgamer7045
    @adidgamer70453 жыл бұрын

    how many hours do you work for a day?

  • @darnellbailey5038
    @darnellbailey50382 жыл бұрын

    thank youuu

  • @mardinjordan8642
    @mardinjordan86422 жыл бұрын

    in question 2 why does the -8 turn into a positive 8

  • @thelegendaryracer3148
    @thelegendaryracer3148 Жыл бұрын

    You know for the last question Instead if making the first part have the same denominator (12) as the second part I instead started solving it from there and moved the fraction to make it negative then I solved and from there I factorised and got 6(3x-28) and when you solve that you get x=28/3 and x=6 did I by some chance do the wrong working and get the right answer or did I get it right but in a different way if so then what do you do with the other x (6)? I’d be really grateful if you could answer

  • @ayiza9099
    @ayiza90993 жыл бұрын

    At 13:59 shouldn't the first two fractions give you x-4/x-3 instead of x-8/x-3

  • @louiesaunders8853
    @louiesaunders88533 жыл бұрын

    By the way at 4:30 you left the answer not in final form, it ended on 4x - 6 / 3x - 9, and in the question it asks to leave it where b and d were both positive integers

  • @luvdarci

    @luvdarci

    Жыл бұрын

    it doesnt matter ! its the correct answer as to make it b and d positive you would hve to make other integers negative , which it doesnt state in the question

  • @christiviexo498
    @christiviexo4982 жыл бұрын

    Thanks for the video! Do these questions come up in calc or non calc ?

  • @Dark_kittens123

    @Dark_kittens123

    2 жыл бұрын

    Could be both

  • @christiviexo498

    @christiviexo498

    2 жыл бұрын

    @@Dark_kittens123 thank you!

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    2 жыл бұрын

    They could be in either 😁🙏🏼

  • @wiilsoojabay8046
    @wiilsoojabay80464 жыл бұрын

    Thnk u sir ...plz am doing my exams on may hw will I revise maths and where will I find some past papers?thnku u again I hope u will reply me

  • @Red14H

    @Red14H

    4 жыл бұрын

    Maths genie for exam papers and mark scheme/work solutions

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    There are so many online! If you google search maths exam 2017 or maths exam 2018 etc there are hundreds of links! Plus I am also posting practice papers into my playlist that you can check out too 😁🙏🏼

  • @fatimaalramahi9944
    @fatimaalramahi99442 жыл бұрын

    13:42. Wouldn’t you minus the denominator of (x-3) in the fractions like you did with the numerator? Why would they just become only (x-3) instead of cancelling out? I asked the same question on your other video. Edit: is it because with normal fractions the denominator stays the same. E.g 5/20 + 6/20 = 11/20?

  • @naomi6902

    @naomi6902

    Жыл бұрын

    for fractions when you add or subtract the denominator doesn’t change, that’s only for multiplication

  • @fatimaalramahi9944

    @fatimaalramahi9944

    Жыл бұрын

    @@naomi6902 lmao yeah I realised 😂

  • @memetris6971
    @memetris69713 жыл бұрын

    will the year 11 mocks be the 2019 paper?

  • @Amelia-zs1ni

    @Amelia-zs1ni

    3 жыл бұрын

    probaly not

  • @hackervhangohlee9515
    @hackervhangohlee95153 жыл бұрын

    Day before my exam

  • @mohammadhosseinasadifard9973
    @mohammadhosseinasadifard99734 жыл бұрын

    Damn you teach so well but I have a question what city do you teach in

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    4 жыл бұрын

    Thank you! I am based in the midlands 😁🙏🏼

  • @ochachako
    @ochachako3 жыл бұрын

    24:45 where did the 4 go? isn’t it supposed to be 4x(3x-2) = 0

  • @riyapatil3137

    @riyapatil3137

    3 жыл бұрын

    yh I have the same question

  • @Dark_kittens123

    @Dark_kittens123

    2 жыл бұрын

    He divided both sides by 4

  • @theredzapper8963
    @theredzapper89632 жыл бұрын

    How do you factorize everything so fast, is there any trick to it?? ❓

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    2 жыл бұрын

    Lots of practice! I only use the methods I discuss in this video: kzread.info/dash/bejne/dYSuudylY7ibd8o.html and this one: kzread.info/dash/bejne/dnmjx8t_hLKqcbg.html for the harder ones 😁🙏🏼

  • @theredzapper8963

    @theredzapper8963

    2 жыл бұрын

    @@TheGCSEMathsTutor Thanks, will surely look up to it

  • @BobBob-uv9fq
    @BobBob-uv9fq2 жыл бұрын

    Have you got the subtraction wrong example two ,5x _4x (have you done something wrong ?

  • @ieatalot4189
    @ieatalot41895 ай бұрын

    15:45

  • @5kinz
    @5kinz3 ай бұрын

    confused at 24:17 why is it 0??

  • @aurixiaispreppy7454
    @aurixiaispreppy74543 жыл бұрын

    30:33

  • @M0Hamza9
    @M0Hamza9 Жыл бұрын

    20:00 can you convert that denominator to (4x + 1)(x - 1) or no ?

  • @sk0266
    @sk02664 жыл бұрын

    i did the last bonus one and i got x as 10

  • @mariamb7706
    @mariamb77063 жыл бұрын

    9:31 whys it +8?

  • @Bannapickleonion

    @Bannapickleonion

    Жыл бұрын

    i was thinking the same thing

  • @mya.tatum.
    @mya.tatum.2 жыл бұрын

    Is it just me that vibes to the intro music while grabbing my notebook 😂😅

  • @ieatalot4189
    @ieatalot41895 ай бұрын

    10:57 difference is that its a fraction so thats why sepearteky mutliplied 11:52 wasnt the case, so corbett math and this contradicted each other

  • @Drizzz32
    @Drizzz323 жыл бұрын

    Im in year 6 and kind of understand this lol its a but complicated tho

  • @5kinz

    @5kinz

    3 ай бұрын

    man u have sats to be stressing abt

  • @humairazaman1288
    @humairazaman12884 жыл бұрын

    last 2 were the easiest ones

  • @erenyeager6668
    @erenyeager6668 Жыл бұрын

    im finished; exam is tomorrow

  • @safiah9661

    @safiah9661

    Жыл бұрын

    Same omg, good luck!!!!!!!

  • @yassinamr-eh3vi

    @yassinamr-eh3vi

    7 ай бұрын

    .

  • @Profitpoineer
    @Profitpoineer Жыл бұрын

    There's a mistake. On the first question you were suppose to write it as a positive integer you wrote it as a negative integer.

  • @user-hk4eg6iv9r
    @user-hk4eg6iv9r Жыл бұрын

    this makes me feel so stupid i still dont understand any of this and how to work this out at all either im stupid or just idk

  • @TheGCSEMathsTutor

    @TheGCSEMathsTutor

    Жыл бұрын

    Don’t feel stupid! There are about 15 topics within this video, I’d start by going back and looking at my videos on these: expanding single brackets, expanding double brackets, factorising, factorising quadratics, solving equations and solving equations with unknowns on both sides! 🙏🏼

  • @Abdd17

    @Abdd17

    Жыл бұрын

    @@f9iteeditz Oh calm down james. give it a rest will ya

  • @f9iteeditz

    @f9iteeditz

    Жыл бұрын

    @@Abdd17 me james? wht abd

  • @Abdd17

    @Abdd17

    Жыл бұрын

    @@f9iteeditz good boy for deleting your comment

  • @f9iteeditz

    @f9iteeditz

    Жыл бұрын

    @@Abdd17 i never deleted? but i am bout to

  • @particleonazock2246
    @particleonazock22463 жыл бұрын

    ASMR

  • @rayhaan7860
    @rayhaan7860 Жыл бұрын

    would this actually be in gcse though??

  • @tacendamori

    @tacendamori

    Жыл бұрын

    yes but I hope not

  • @rayhaan7860

    @rayhaan7860

    Жыл бұрын

    @@tacendamori i hope yes cuz they're easy now me 7 months later finding every gcse topic easy now due to this goat right here

  • @tacendamori

    @tacendamori

    Жыл бұрын

    @@rayhaan7860 same but still lmao

  • @eatinsomtin9984
    @eatinsomtin99843 жыл бұрын

    at 20:48 why don't you times by 2x+1