Iterations | General Iterative Processes | Grade 7-9 Maths Series | GCSE Maths Tutor

[@mathsmadefun6484]

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[@TheGCSEMathsTutor]

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[@anisageesle4857]

U r the best math tutor ever, I am really impressed the way you teach, keep going sir never look back I only watch ur math videos because u r the only one that covers every topic completely, u r a blessing to us🥰

[@bud1689]

two weeks before my mocks revising over everything and I've always had trouble with this, tysm for making this vid

[@Adam-tj3yx]

For the first time, I actually understand maths, Thank you!!!!!!

[@intuitive1133]

i got 20/20 on my end of unit assessment purely because of this video thanks so much

[@user-tg1zf6ow4o]

Literal life save thanks to you I’ve been realising that my grades have been improving due to your videos❤️❤️❤️

[@nuzhahussain4981]

Hi Sir, I have my mocks in a few weeks could you possible do an entire video covering all grade 7-9 topics?

[@TheGCSEMathsTutor]

No problem at all! Here you go: kzbin.info/www/bejne/pWq5po2eeNaFaLc 😁🙏🏼

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[@TheGCSEMathsTutor]

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[@andria_x1994]

@@TheGCSEMathsTutor more than working, it's my only source of learning

[@TheGCSEMathsTutor]

@@andria_x1994 well in that case I’m overjoyed that I am able to help you through on your maths journey! 👌🏼👌🏼

[@mayalong3678]

video is amazing asked my tutor to explain this and i was more confused, i watched this video and i feel super confident to answer iteration exam questions !! thanks

[@rm9994]

It would be a massive help if you could get a calculator on the screen to show buttons pressed.

[@dhsjakhdsajk]

you are an absolute life saver! i feel like my teachers dont go into details with their solutions so this makes it all make so much more sense

[@momtazkhanom4336]

thanku for the comment##

[@quietdragon247]

SOOOOOOOOOOO much help you deserve much much more really helped me in my GCSE maths! before discovering your channel, I kept procrastinating from maths saying it was really easy but then as time went on -and I lost focus- I really began to struggle in maths. i cannot thank you enough for you help. truly amazing :)

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[@KKMDB]

Hi, for the last question, forgive me if I'm wrong, but I'm pretty sure it's meant to be the square root of 1-(x)cubed over 4. I tried to rearrange the equation and there is an (x)squared that needs to go somewhere. The estimates for the solution still fall between 1 and 0. Thank you so much for this channel, it has been enlightening for me.

[@polka678]

I thought the iteration formula would be: x = root 1 / x+4

[@sanmus100]

Yeah I got the same thing

[@sanmus100]

@@polka678 You are also right, but we can arrange it to form x^2 = (1-x^3)/4 as well. However the formula given is x = (1-x^3)/4, which is actually wrong

[@StuartRadcox]

Yes there's an error in it. You can check by plugging his answer back into the original formula and it shows it's wrong. The sq root of his answer is correct.

[@alishaanimations3058]

Thank you! My teacher (who’s a fast explainer) advised us to teach ourselves the topic beforehand. Hopefully I can do some questions in the morning so I don’t have to sit their feeling dumb from his faster than light teaching :p

[@gameover840]

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[@vaed1651]

absolute banging video genuinely helped me, have nothing but good things to say about this video

[@TheGCSEMathsTutor]

Glad you enjoyed it!! Thank you for the kind words I’m so glad the channel is helping 😁🙏🏼

[@husnapardis836]

This was the most helpfull video ever!! Very thankful for your help!!

[@FailureRLBrothers]

YOU HAVE MADE THIS SOOOOO EASYYYYYY🎉

[@GCSEALevelMaths2025]

Congratulations on 18k sir great job!!

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Wow he’s jumped up 102k in a year :0

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@@amyrei7897 he’s nearly on 150k now (As of December 2022)

[@GCSEALevelMaths2025]

@@abdeboyeh_zr6717 nearly 150k now at December 2022!

[@asmaa1853]

Thank you a lot 😊

[@mayatambito]

this is the only video that made sense to me, thank you! what you're doing is amazing

[@rm9994]

Is recursion the same as iteration? Thanks

[@IqraCh-s6e]

Thank you sir for making it so easy

[@jessfinn5560]

19:25 on the questions where it says ‘use the iteration formula twice’ does that mean, if you had to write something in an answer box, would your answer be both of the solutions you found or just the second solution? thank you!!

[@UJLMAO]

For the question at 16:59, if you were given that equation and asked to rearrange the formula to make x the subject, how would you get x=1-xcubed/4. Please could you explain how rearranging that equation would equal to that iterative formula, as i cant seem to understand. thanks

[@catherinejohnson2885]

the equation has been rearranged incorrectly. the right side of the equation should be square rooted, giving x= sqrt(1-x^3/4). You can check the values at the end as well by substituting them back into the original question. If you use the iteration formula given (the non-square rooted one) and keep pressing the equals button on the calculator until it doesn't change, it gives you something like 0.25, which really is nowhere near 1. If you use the value from the square-rooted iteration formula, it gives you 1.

[@ahmadalmohamad2610]

Great Video!!! 🙂

[@TheGCSEMathsTutor]

Thanks 😁👌🏼

[@russell4658]

I have a KPI tomorrow, I want to impress my teachers especially after one of them have put their job on the line by moving me up to higher when they shouldn’t have. A lot of pressure but I’m sure I can make it 😂.

[@mehzgirl5044]

Loved the video, thank you very much sir

[@KK-mk8xb]

for the questions where it says show a solution lies between x and x, aren't you meant to look for a change in sign when substituting?...or can you also use your method? thanks

[@TheGCSEMathsTutor]

You are only looking for a change in sign of the equation in question is equal to zero, then Ofcourse you would be looking for one above zero and ne below zero, this is only one example of one specific question that appeared on an exam recently, the equation in question does not have to be equal to zero to apply an iterative method so watch out for this. If the equation is equal to 5 for example you would be looking for a number above and below 5. Hope this helps! 😁

[@vinaybhardwaj7811]

@@TheGCSEMathsTutor Hi Sir, For this question could we rearrange the equation to equal it to 0 and then if the sign is changing say that the solution is between the two given x values? Thanks Sir.

[@Sup7569]

I need to watch this video for maths at some point

[@jackysbin3860]

Great video For the last question, can you explain why the iteration formula isn’t 1/Xn+4? I understand how the formula 1-Xn^3/4 was reached I just don’t understand why they are so marginally different (1/Xn+4 gives the answer 4/17 or 64/272 as opposed to 63/256)

[@Sym1iot3]

Thanks!

[@sabanadeem1206]

For the last question If it was in the exam would I keep doing it until I get to 1 ???

[@nadzedha0143]

for 17:00, i thought you needed to make it equal zero before substituting? also when i tried to rearrange it i didn't get that because i ended up with x^2 = 1-x^3/4. Could you please explain how it should be rearranged?

[@chriskemp466]

if you were just asked to create your own iteration formula can you do it in a number of ways as long as you have a single x on the left and everything else on the right in the appropriate form? e.g. if you isolate the x squared term and then square root x = square root(2xcubed - 3)

[@rubenraccoon2584]

are iterations and quotients the same things? also this was really helpful thank you!

[@PCU343]

At 13:00, there may be a mistake with the first part of the question. Sir, you put 2(2)^3-2^2-3 to get 9. Is it not supposed to be 2(-2)^3-(-2)^2-3 = -23? Or have I done something wrong in writing out the equation to get a different value?

[@nuzhahussain4981]

At 11:08 why do you write x3 with the whole number shown on the calculator why don’t you round it up (for example to 3 s.f. Or 2 d.p.)?

[@xyeonjvnzx]

Thank you!

[@meerkatking5521]

on the question at 11:37 do you have to write all the beginning working out or can you just skip to the end bit where you sub the numbers into the formula.

[@TheGCSEMathsTutor]

The first part is a stand alone equation, it’s vital to always show the working out for both parts though, particularly when it says “show that...” as this indicates that it wants to see the methods 😁🙏🏼

[@jharanmehta403]

Hi sir just wanted u ask u whether the mock’s grade boundaries are the same as the real gcse grade boundaries

[@TheGCSEMathsTutor]

It’s entirely dependent on the school but most schools will use the 2019 grade boundaries give or take a few marks! 😁

[@jharanmehta403]

The GCSE Maths Tutor thanks sir was it possible for u to send me the link to the 2019 geography Edexcel a paper1

[@Rafmee]

@@TheGCSEMathsTutor Sir I thought they create the grade boundaries from how well the school did? (most schools)

[@TheGCSEMathsTutor]

XxUniquecornxX Every School is different! Most will use previous grade boundaries adjusted slightly 😁🙏🏼

[@sivikasi]

For the questions - eg: "prove the solutions is between 1 and 2" - I've seen a method where you make the equation equal zero and then as long as your two solutions are either side of 0 that's proof (the sign has changed). Is that an appropriate method?

[@jinethweragama1218]

On the last question, I rearranged the iterative formula and I got x^2 = 1-x^3 /4. So arent the solutions that you found the square roots of the actuall solutions?

[@Hydro_070]

Sir for this question do we always have to show our working or can we just do it on a calculator

[@amzykaur9843]

What does it mean if the iteration is giving me the same two roots?

[@shanicetylersvlogs8554]

thank you sir

[@hamadaslam8384]

Hey sir in my maths paper 2 for the iteration question i accidentally rounded to 1.67 will i still get all 4 marks or lose a mark

[@jeevangeorge1961]

Iteration, last question shouldn't the whole iteration formula be rooted? I checked the roots to the equation in the final question and I'm afraid your estimate isn't anywhere near it and I think that's because the question is incorrect.

[@TheGCSEMathsTutor]

Sometimes the iterative solution will be nowhere near the actual solutions after 1-3 attempts, it depends how many times the iterative process needs to be repeated for! 😁🙏🏼

[@crazykid073]

Hello, I have a question based on iteration for GCSE level. A question I have been given for practice tells us to re arrange the equation to the correct equation. How do you know what to re arrange the equation too?

[@crazykid073]

I'm not too sure if this was just a challenge question, if it was could you let me know if we will ever have to work out the equation ourselves or will it provide the equation that we have to show it re-arranges too?

[@interimterminal]

you just rearrange it to equal one of the Xs

[@s.m0690]

The fact that an ad had the audacity to reccomend me math help when I'm already watching the answer to my GCSE'S.

[@TheGCSEMathsTutor]

Haha can’t blame them for trying hey! 😂👏🏽

[@alessiaazzopardi2043]

i'm super confused, for the third to last question you used the equation to find x, but for the last question you didn't, even though it was the question was the same type of format. how do you know which method you're supposed to do? please help : (

[@qurantranslations2272]

how do you draw on screen like that

[@TheGCSEMathsTutor]

Quran Translations Using an Apple Pencil on an iPad 😁👍🏼👍🏼

[@qurantranslations2272]

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[@ssouIz]

TYSMM

[@sh3llie]

THANK U

[@heheboy8966]

Thx

[@manmeh4r]

ty

[@inaayaahmed1835]

you sound so tired in this hope youre doing okay

[@nz1229]

I think there is a square root missing in the last iterative formula.

[@hulag4494]

Hi Sir, I was just doing the iGCSE Pearson Edexcel January 2019 Paper 4HR Higher tier maths paper as practice for my exam next week and i was just wondering how you do question 20. It says, Find the value of n such that 4n x 8n+1 = 16? (the n's are meant to superscript). It looks as though its probably quite simple but i just don't know what to do. PS, I have been watching your videos lately and they have been a huge help, especially the one covering all the Grade 6-9 questions.

[@Cameronbacn]

Surely I’m sorry this is too late but would it not just be 8n x 4n which is 32n^2 square root the 16 so it looks like 32n+1=4then divide 3/32?

[@annoyingloudmicrowaveculti4373]

For the last question: I'm aware it's probably that the formula was just rearranged incorrectly (since it would be the formula for x² not x), but if we DID get a question like that would we need to square root the answers we got for x₁ and x₂ to find the estimate? Thank you sir for everything you do, I can't imagine how many people's grades you've saved (mine included)! Edit: figured out my mistake

[@TheGCSEMathsTutor]

The formula is rearranged correctly! In order to make an x the subject part has been factorised by x which has reduced the powers. You don’t need to do any form of rooting though as it’s x= 😁

[@annoyingloudmicrowaveculti4373]

@@TheGCSEMathsTutor Wouldn't factoring x³ by x result in x²? Maybe I just need to run over it again, I'll see if I can figure it out on my own.

[@annoyingloudmicrowaveculti4373]

Nevermind, I was reading x³ as x² 😅 thank you for your simple explanations and your patience

[@itshappyonline]

Tysn

[@alishaanimations3058]

8:16 -do tomorrow

[@enebenzer-p6t]

the 4x^2 should be 4x on the final question. idk how that got messed up

[@rasenganjutsu1387]

I think the last question is wrong. As it should be square root 1 minuse x cubed other 4

[@hxxx7451]

cant u just keep it in decimals

[@YourDeparture.]

At this point in maths idk what the hell im doing

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[@wiseworlds9663]

You know the last question wouldn’t you take away 1 to have 0 on Boths sides.

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Go through all the basics first just start from the first video in his playlist and work your way up this does require some knowledge from previous topics so if you say you dont know Thats the reason why?😀

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[@anisageesle4857]

U r the best math tutor ever, I am really impressed the way you teach, keep going sir never look back I only watch ur math videos because u r the only one that covers every topic completely, u r a blessing to us🥰

[@TheGCSEMathsTutor]

Thank you so much for your kind words! I’m so glad to hear that my channel is working for you, I have no intention of stopping so there is no worry there 😁🙏🏼🙏🏼

[@mouadai2235]

thanks

[@TheGCSEMathsTutor]

You're welcome!