Simultaneous Equations (Higher & Foundation) | GCSE Maths Tutor

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  • Опубликовано: 16 окт 2024
  • A video revising the techniques and strategies for solving simultaneous equations.
    This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series.
    These are the calculators that I recommend:
    Casio fx-83GTX Scientific Calculator, Black - amzn.to/2P2cyGG
    Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - amzn.to/2sw2Moz
    🔹 Watch the video
    🔹 Make notes
    🔹 Practice the questions
    🔹 Mark your work
    🔹 Review what you have learnt on the exam questions
    Part 1 - Laws of Indices - • Laws of Indices (Highe...
    Part 2 - Collecting Like Terms - • Collecting Like Terms ...
    Part 3 - Expanding and Simplifying - • Expanding Single Brack...
    Part 4 - Double Brackets - • Expanding Double Brack...
    Part 5 - Factorising - • Factorising (Higher & ...
    Part 6 - Factorising Quadratics - • Factorising Quadratics...
    Part 7 - Substitution - • Substitution (Higher &...
    Part 8 - Changing the Subject Part 1 - • Changing the Subject o...
    Part 9 - Simultaneous Equations - • Simultaneous Equations...
    Part 10 - Changing the Subject Part 2 (Higher Only) - • Changing the Subject -...
    Part 11 - Expanding Triple Brackets (Higher Only) - • Expanding Triple Brack...
    Part 12 - Factorising Harder Quadratics (Higher Only) - • Factorising Harder Qua...
    Please like ✅ please comment ✅ please subscribe ✅
    Enjoy the video!
    Follow me here:
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    Twitter: / gcsemathstutor
    Music: That Day
    Musician: Jef

Комментарии • 241

  • @dusk3315
    @dusk3315 3 года назад +152

    BEST TEACHER EVER! I can NOT thank You ENOUGH! Thank you SO much! I'm ecstatic that I FINALLY mastered this after months of trying to figure it out!

  • @youtubestories101
    @youtubestories101 3 года назад +60

    U know what this is my first video im watching of you, and yea its really inspiring. Im a weak person on maths, nothing has gone correct unless i copy someone, but now im feeling that there are lot of things stuck inside of me. i will always follow. thanks a bunch. from Sri lanka

  • @adithyakarunarathne1156
    @adithyakarunarathne1156 3 года назад +147

    I had a lot of trouble doing these type of question but now I have cleared all my doubts. THANK YOU

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +8

      Amazing! So glad to hear it 😁🙏🏼

    • @hannah1234xo
      @hannah1234xo 3 года назад +4

      Me too!!! I really forgot everything. so simple is this video. Thank you!!!!

    • @reecepedro3632
      @reecepedro3632 3 года назад

      you prolly dont care but does any of you know a method to log back into an instagram account..?
      I somehow forgot my account password. I would appreciate any tricks you can offer me

    • @zxhra_117
      @zxhra_117 2 года назад +2

      @@reecepedro3632 just click forgot password its simple or just make a new account

    • @hassan.hadier
      @hassan.hadier 2 года назад +2

      @@TheGCSEMathsTutor hi there sir could you be kind enough to do an AQA Past paper walkthrough please insead of an Edexcel past paper walkthrough as i have seen on your channel you have been prominently doing that exam board but i know you are aware you have AQA students who watch your videos to so it would be a nice video if you do to proceed with the suggestion otherwise your content is very good and soon to 100k subscribers sir ;)

  • @zaaraahmed4563
    @zaaraahmed4563 3 года назад +77

    this was really helpful! the SSS and DSA part made it a breeze to remember and really cleared up my confusion :D thank youuuuuuuuuu

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +11

      So glad the method works for you!! 😁👏🏼👏🏼

  • @naebapp2390
    @naebapp2390 2 года назад +14

    You are my favorite youtube maths teacher.

  • @Matt-gb7wr
    @Matt-gb7wr 2 года назад +19

    I've spent months trying to understand these and now i finally do!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 года назад +1

      Amazing news! I’m so glad to hear the channel has helped 😁🙏🏼

  • @reisamiah462
    @reisamiah462 4 года назад +33

    to remember the signs, you could do "STOP", so "SaMe, take away" and "opposite, plus"

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +15

      “Same, Take away and Opposite, Plus”??? I like it!! 😁🙏🏼

    • @jeetskeet8162
      @jeetskeet8162 3 года назад

      Ahem
      Same
      Yeah
      He said it

    • @reisamiah462
      @reisamiah462 3 года назад +1

      @@jeetskeet8162 OH LMAO sorry its been a whole year and i just noticed the typo omg

  • @shahidmunshi5744
    @shahidmunshi5744 8 месяцев назад +1

    I had absolutely no idea how to do this in my school but your method has made it so much easier and now I absolutely fully understand how to do it all so thank you for that.

  • @salarrzinho
    @salarrzinho 2 года назад +11

    sir man how do i thank you one day out from paper 2 and i barely knew simultaneous equations until i watched your video. Absolutely class keep it up

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 года назад +3

      Amazing news!!! So glad to hear it’s been helpful! Have you checked out the practice paper I posted yesterday too? 😁🙏🏼

    • @salarrzinho
      @salarrzinho 2 года назад +1

      @@TheGCSEMathsTutor just going to rejog my memory on certain topics then will do the past paper an hour before i go to bed thanks !

    • @salarrzinho
      @salarrzinho Год назад +2

      @@TheGCSEMathsTutor now wish me luck for my resit on friday hopefully i pass man once again your vids have helped so much

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  Год назад +1

      @@salarrzinho best of luck!!!! You can do it 💪🏼 please do let me know how you get on!!!

    • @TrenSulekmoments
      @TrenSulekmoments Год назад

      @@salarrzinho did you pass

  • @birdie7344
    @birdie7344 2 года назад +5

    thank you so much! always struggled with maths but u make my life so easy, a lifesaver!

  • @emmalola465
    @emmalola465 2 года назад +5

    I never understood sequences and my maths teacher always seemed to make it complicated I have a huge assessment coming up and your other sequence videos helped so much if i get a passing score thank you

  • @Cisco...
    @Cisco... 2 года назад +3

    I dont know y im only seeing yr channel now. IT IS A BLESSING IN DISGUISE♥️

  • @umzy_yy5731
    @umzy_yy5731 2 года назад +3

    How tf do you not have 500k + subscribers the video quality is really good

  • @caliwoa6503
    @caliwoa6503 3 года назад +9

    Moving from foundation to higher LAST MINUTE so I have a shot at the grade I need for college. You're gonna be my saviour, comrade.

  • @asurekxng1129
    @asurekxng1129 Год назад +2

    Cette vidéo m’a permis de comprendre comment résoudre des équations complexes grâce à un tas de choses!!!

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 3 года назад +3

    Congratulations on getting 23k subscribers. Great job and work.

  • @rayhaan7860
    @rayhaan7860 2 года назад +2

    Thank you for helping me I had a big maths test coming up and i feel confident now.

  • @inversetc2502
    @inversetc2502 4 года назад +31

    Ur the GOAT!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +16

      TaZeReSS _SKRT Assuming that stands for ‘Greatest of all Time’ 🤣👌🏼 if so... thanks!!

    • @inversetc2502
      @inversetc2502 4 года назад +12

      The GCSE Maths Tutor yeah it stands for ‘Greatest of all time’
      Your explanations are very clear and understandable
      Thanks 😊

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +13

      TaZeReSS _SKRT Great to hear!! Thanks for the feedback! I’m on a mission to get 100 videos live and ready for the new year so it’s awesome to hear they are helping already! 🤞🏼

  • @ruyaatss
    @ruyaatss 3 года назад +4

    I love this channel so much it helped me improve so much in maths thank you so much and also I liked and subscribed!

  • @Islam-x7w
    @Islam-x7w Год назад

    omg omg thank u so much, I never understood this in class and was always confused but u made it so clear and simple. I cannot thank u enough man, keep up the good work!!!

  • @asurekxng1129
    @asurekxng1129 Год назад +2

    This video made me be able to understand how to solve complex equations thanks a bunch!!!

  • @zxhra_117
    @zxhra_117 2 года назад +2

    thnxs i understand it way better than i did before i appreciate the help u provide for everyone thank youuuuuu.

  • @not_mxciuks8081
    @not_mxciuks8081 6 месяцев назад

    im still learning but this is the best maths teacher no doubts, thank you so much man!!!!

  • @julieprior4753
    @julieprior4753 2 года назад +13

    Thank you so much. It’s the negative numbers that get me every time. You explain well and I smile when I get a question right. 😬

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  2 года назад +8

      No problem at all! It’s always the negative numbers that get people 😭 I’m so glad you like the explanations, it’s always very satisfying to get the questions correct, definitely the best part about maths.. that “eureka” moment 👏🏼👏🏼

  • @calcpost3641
    @calcpost3641 3 года назад +4

    Sir would you ever be forced to do the elimination method in an exam ? because i prefer to use the substitution method

  • @mcdonaldajayi8554
    @mcdonaldajayi8554 2 года назад +1

    I can’t believe I can solve simultaneous equation it has been my problem since I was young thank you so much

  • @Reiselei
    @Reiselei 2 года назад +3

    How do I know when to times it by something rather than adding or subtracting?

  • @Sarahgmt23-cb2tg
    @Sarahgmt23-cb2tg Год назад +1

    Thank you SO much! This was so clear and well-explained ☺

  • @Leox-xe6ip
    @Leox-xe6ip 6 месяцев назад

    I had troubles learning simultaneous Equation but after watching you video i understand a lot

  • @aisa2820
    @aisa2820 11 месяцев назад +1

    Hey, I've got a question, what if you sub your answer to the number 2 equation. Is that alright too? Will you get the same answer as subbing it into the first one too?

  • @mr.editio2004
    @mr.editio2004 11 месяцев назад +1

    thanks bro really helped me, have a nice rest of your day Sir

  • @zainailyas8335
    @zainailyas8335 2 года назад +2

    Very useful video thank you very much - I was very confused but now I am very confident with these

  • @smchutchon2689
    @smchutchon2689 3 года назад +4

    So clear and helpful, thank you so much.

  • @divinemoon2101
    @divinemoon2101 11 месяцев назад +1

    Thanks bestie❤ ur the best teacher

  • @sulaimanhanan3134
    @sulaimanhanan3134 3 года назад +4

    I literally have a test today and this has saved me thank you.

  • @everythingtv4875
    @everythingtv4875 2 года назад +3

    pls reply!! at 19:00 why couldn’t u just cancel out the 3x (since they’re both the same amount) to get 0 without timsing the top by 4?

    • @chroyoku
      @chroyoku 2 года назад +1

      you can, he just did what he was comfortable with i guess

    • @everythingtv4875
      @everythingtv4875 2 года назад

      @@chroyoku ohh ok

  • @ericboamah7636
    @ericboamah7636 11 месяцев назад +1

    hello sir when I substituted the x values first question i got something different i would appreciate it if u did video substituting x values.

  • @GCSEALevelMaths2025
    @GCSEALevelMaths2025 Год назад

    Congratulations on 178k subscribers! 178000 subscribers omg!!

  • @zae7896
    @zae7896 Год назад

    Few hours before my gcse qnd uve taught me something my maths teacher couldn't for a year

  • @Boo-vi7qi
    @Boo-vi7qi 4 месяца назад +1

    Can these have multiple solutions?

  • @mariamkhan9698
    @mariamkhan9698 3 года назад +2

    best teacher ever

  • @aaalllooohhhaaa
    @aaalllooohhhaaa Год назад

    thank you so much , your saving me from failing literally any maths based exam

  • @yumnabarhamji1700
    @yumnabarhamji1700 3 года назад +2

    most helpful channel thank you so much

  • @iivenomblox5906
    @iivenomblox5906 2 года назад +1

    Ok finally thanks so much this was so hard for me but this cleared it up

  • @thekarateninja287
    @thekarateninja287 2 года назад +2

    hi for 10:28 i did -62-(-90) which =28 and did 6-20 = -14 so i got x=2 and for y i got -5. Is this correct?

  • @ShongweSiphumelele
    @ShongweSiphumelele 5 месяцев назад +1

    When checking the values do you use the original equation

  • @scarlettalexaaa
    @scarlettalexaaa 3 года назад +5

    this was really helpful thanks, will these questions on the aqa gcse paper be the simple ones or difficult with decimals?

  • @dimitrapsoma4761
    @dimitrapsoma4761 3 года назад +2

    U much more better than my teacher

  • @iluvflutter8051
    @iluvflutter8051 2 года назад +1

    tysm for this video, in all honesty maths is my weakest point so im hoping i can pass because my exams are soon i will be using your videos! :D

    • @kreemafham
      @kreemafham 4 месяца назад

      did you get a 7/8/9? :)

  • @Ibrahim-cn8vg
    @Ibrahim-cn8vg 4 года назад +5

    Hey sir, do you know what will happen to the current YR10 for their gcse also great video

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад +1

      Ibrahim_U2040 As it stands the plans haven’t been thought that far ahead. As soon as I know anything I will post a channel update 😁🙏🏼

    • @Ibrahim-cn8vg
      @Ibrahim-cn8vg 4 года назад +1

      @@TheGCSEMathsTutor Thank you very much also do you have any tips on revision and how to improve someones grades. If possible can you make a video. Thanks.

  • @mufarobaiwa6029
    @mufarobaiwa6029 2 года назад +1

    Really helped me to learn it thanks a lot

  • @leila9139
    @leila9139 Год назад

    thank you so much! these videos are always so helpful and easy to understand

  • @myaakazara4276
    @myaakazara4276 Год назад +2

    would the ones with negative numbers most likely come up on higher paper?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  Год назад

      Not necessarily! More likely to appear - yes! But these can appear on both tiers 😁🙏🏼

  • @nobodyknows8826
    @nobodyknows8826 5 месяцев назад

    He deserves way more subs

  • @markfleming7705
    @markfleming7705 3 года назад +2

    Seriously!!! its not that complicated... been beating myself up over these, thanks for making it understandable

  • @lilywrites4357
    @lilywrites4357 4 года назад +3

    this video really helped me, thanku sir

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад

      lily writes Great to hear 😁🙏🏼🙏🏼🙏🏼

  • @barimaadomako5007
    @barimaadomako5007 Месяц назад

    Were the starting two questions elimination or substitution?

  • @ilyasali1989
    @ilyasali1989 Год назад +2

    I got 60/80 in an higher exam because of your amazing teaching

    • @gaspump2976
      @gaspump2976 8 месяцев назад

      i got 2/45 on my first test this year i have another one next month lets see if i get any improvement from him

    • @mf30349
      @mf30349 5 месяцев назад

      @@gaspump2976did u improve ?

    • @gaspump2976
      @gaspump2976 5 месяцев назад

      @@mf30349 no

  • @Annointedxx
    @Annointedxx 21 день назад

    @15:31 how did you get positive 13 when +15-+28 should = -13? and same with +90-+77 should this not be +13 not -13?

  • @charlierossetter4661
    @charlierossetter4661 5 месяцев назад +41

    Pov your gsce exam is tmr

  • @tafadzwandoro796
    @tafadzwandoro796 3 года назад +3

    Thank you sm, thus was really helpful🥺💖

  • @SherloxPro
    @SherloxPro Год назад

    this guy is incredible

  • @jacoblewis553
    @jacoblewis553 3 года назад +1

    honestly please get into teaching, so many people are out there suffering with terrible teachers. Cleared up algebra for me. Thanks

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      I am actually already a full time lead teacher of maths! I just like to produce my lessons on RUclips in the few spare moments of free time I have so that I can reach out to more than just the students in my own classroom! 🙏🏼 I’m so happy the channel has worked for you, do you have another topic in mind to work on next?

    • @jacoblewis553
      @jacoblewis553 3 года назад +1

      @@TheGCSEMathsTutor I don't know what topic is next for me in maths, but I know your probably going to help me out with it. And thank god that you're a teacher, your class don't know how lucky they are!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      @@jacoblewis553 Well do let me know! Hopefully I’ll have made it and if not I’ll add it onto my list! Aaah thank you so much for the kind words 😁🙏🏼🙏🏼

  • @ZlKRA
    @ZlKRA Год назад

    Amazing teaching! Just wondering, because I think toy have made a mistake, but I'm not sure. When it says the question '3x - 5y = -31 and 4x - 2y = -18, you said that 6x - 20x = 14 but it's actually -14. Thne you made the answer as -2. I think the answer is actually 2 because -14 ÷ 14 is -x and -28 ÷ -14 = -2 (showing -x = -2) which would equal to x = 2 instead.

  • @wooting44
    @wooting44 2 года назад

    Saved my gcses thank you

  • @misterbk1791
    @misterbk1791 Год назад

    My questions is when I do simultaneous equation how do I know which is minus which. For example in the first question her if you had times then by 4 and 3. It would be 8y-15 y and 12 x-12x
    So would I flip it for 15 -8 both y. Or just leave it how it is. This is where I fall short

  • @Evoke_Dayo
    @Evoke_Dayo 2 года назад

    do u have to do small take away big for example around 10:37 answer i got x=2 whilst u got x=-2 does it matter?

  • @redoract5534
    @redoract5534 Год назад +1

    hi GOAT, is it true you only need 14 marks out of 80 to get a 4 in gcse maths???

  • @stmunch
    @stmunch 9 месяцев назад +2

    tysm

  • @rajan5436
    @rajan5436 2 года назад +1

    20:27 wouldnt it be x=-1.5 y=0.5 if you sub it in 3x-1.5=-4.5 +0.5(y)=-4?

  • @naimajahlan4723
    @naimajahlan4723 4 года назад +3

    Does simultaneous equations come on AQA papers

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  4 года назад

      Naima Jahlan Absolutely!! All of the videos I post do 😁🙏🏼

  • @KrishKumar-uj9pg
    @KrishKumar-uj9pg 3 года назад +1

    Is this elimination or substitution method ?

  • @ivanb2712
    @ivanb2712 2 года назад +2

    Man this will really help in school thanks u legend🔥🙌🏾

  • @mustafatarek6739
    @mustafatarek6739 3 года назад +2

    At 19:00 why couldnt you just cancel both the 3x's, because I done it and it gave me another answer

  • @harrietslife4687
    @harrietslife4687 2 года назад +2

    really helpful thank you !!!!!

  • @robamohamed1801
    @robamohamed1801 3 года назад +1

    Thank you so much for this incredible video♥️

  • @fozyleen9737
    @fozyleen9737 3 года назад +2

    Thank you so much for this

  • @holthofertv1998
    @holthofertv1998 2 года назад +1

    I couldn’t solve the question 2x + 3y = 14
    x + 3y = 10
    Since it doesn’t get rid of x or y making it difficult to find the value of either is there any help on this?

    • @GCSEALevelMaths2025
      @GCSEALevelMaths2025 Год назад

      If you multiply the second equation by 2 you get 2x+6y=20 and then you would subtract 2x+3y=14 so you would get 3y=6 therefore y=2. sub in y=2 to work out value of x. x is 4 x=4 hope it made sense sorry for the late response.

    • @excie5643
      @excie5643 Год назад

      😂😂

    • @excie5643
      @excie5643 Год назад

      3months later

  • @SVRoquetta
    @SVRoquetta 2 года назад +1

    This was brilliant, thank you.

  • @StephenPearce-d3s
    @StephenPearce-d3s Год назад

    Cheers buddy!! Big help 😊

  • @sandramoh1763
    @sandramoh1763 Год назад

    thanks a lot for uploading videos!!!

  • @toxicology5547
    @toxicology5547 4 года назад +4

    Great videos!

  • @jamesmading4676
    @jamesmading4676 2 года назад +1

    I appreciated you master

  • @trag1kmadethis
    @trag1kmadethis Год назад

    U changed my life bro istg 😂

  • @fimpero994
    @fimpero994 3 года назад +5

    POV- your mock exams are in a few days

  • @jackieblake6368
    @jackieblake6368 3 года назад +2

    GCSE Maths Tutor how would I know what number to multiply by?

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +1

      You have to spot the lowest common multiple 😁🙏🏼

    • @jackieblake6368
      @jackieblake6368 3 года назад +2

      @@TheGCSEMathsTutor what do you mean. explain a bit more pacifically

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад

      @@jackieblake6368 if you watch the video you’ll notice that the number infront of y is the number that I choose to make the same in both equations, I do this by looking for their lowest common multiple so that I know what to multiply each equation by!
      Here is a quick video I did on lowest common multiples: ruclips.net/video/4YVK8RhgIN4/видео.html 😁🙏🏼

    • @jackieblake6368
      @jackieblake6368 3 года назад

      @@TheGCSEMathsTutor Also I am having trouble understanding Quadratic Equations. I mean I think I am understanding it a bit but I need to really understand it.

  • @nuyihsil301
    @nuyihsil301 Год назад

    what if the x is on the left side of an equation but on the second one its on the right side?

  • @janah-gr2kp
    @janah-gr2kp Год назад

    I actually love you

  • @veluria7375
    @veluria7375 Год назад +1

    tysm this helped a lot

  • @7elo417
    @7elo417 2 года назад

    in the last question that u gave us to do why did you not just divide 15 by 10 instead u did 2/3why????

  • @prozxyn
    @prozxyn 2 года назад +1

    Can you always subtract the bottom one from the top one?

    • @GCSEALevelMaths2025
      @GCSEALevelMaths2025 Год назад

      It depends on the signs, if it’s both the same you would subtract if the signs are different you would add them!

  • @samialsadig8610
    @samialsadig8610 Год назад +1

    Thank you ❤

  • @Georginachester
    @Georginachester 2 года назад +1

    Thank you!

  • @user-yu2xn1np4v
    @user-yu2xn1np4v 2 года назад +1

    16:36 how come you add it instead of takeaway?

  • @karamsingh3717
    @karamsingh3717 2 дня назад

    i dont know if you remember me but you used to teach me at you old school

  • @ashtonhallows8513
    @ashtonhallows8513 3 года назад

    I doubt you will reply but for the last question at the end of the video, the ( 3x+y=4 and 3x-4y=6) for x I got -2thirds but when I put that into 3x+y=4 I got y=6? But I double checked the answer online and it is definitely y=-2. Please help!!

    • @TheGCSEMathsTutor
      @TheGCSEMathsTutor  3 года назад +2

      Double check all of your steps, it’s hard to tell without me seeing the working! 🙏🏼🙏🏼

    • @nehajiji
      @nehajiji 3 года назад +1

      You added 4+2 which gives 6, but you are meant to do -4 + 2 which gives you -2. So y=-2. Just double-check your working out, I had the same mistake! Hope that helps!

    • @ashtonhallows8513
      @ashtonhallows8513 3 года назад +1

      @@nehajiji thanks so much, I’m only in yr 10 ( one year before GCSEs ) so I’m tryna get any revision in, I’ll triple check my answer so thank you!

  • @nothingglklggggklolokay
    @nothingglklggggklolokay 10 месяцев назад

    OMG THANK YOU SO MUCH

  • @enhlenxele6878
    @enhlenxele6878 2 года назад

    Thank you very much

  • @airbusgaming
    @airbusgaming Год назад

    Thanks!

  • @quinamasarira2116
    @quinamasarira2116 3 года назад

    thank u, seating for CIE IGCSE exams MAY/JUNE 2012