Bounds - Upper and Lower Bound Calculations | Grade 7-9 Maths Series | GCSE Maths Tutor

A video revising the techniques and strategies for looking at bounds calculations (Higher Only).
This video is part of the Bounds 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
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
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - kzbin.info/www/bejne/bnKWlKWngMdkaas
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - kzbin.info/www/bejne/pWq5po2eeNaFaLc
The 10 Hardest GCSE Maths Questions & How to Solve Them | Grade 9 Maths Series | GCSE Maths Tutor - kzbin.info/www/bejne/b4nEY2ykjMSKj6M
More videos in the series:
Bounds and Error Intervals - kzbin.info/www/bejne/rpSye6uhrdaBmLc
Upper and Lower Bound Calculations (Higher Only) - kzbin.info/www/bejne/oWnZgZeXjqaFf7s
🔹 Watch the video
🔹 Make notes
🔹 Practice the questions
🔹 Mark your work
🔹 Review everything you have learnt
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[@aaryanramani1699]

I would rather have these lessons on KZbin, which are more educational, than have an hour lesson with my maths teacher. She takes 3 lessons to explain half of this video. You are amazing The GCSE Maths Tutor

[@TheGCSEMathsTutor]

Aaryan Ramani How great to hear that these are really working for you then! Keep up the fantastic work taking it upon yourself to further develop your knowledge on these topics! Don’t forget that your teacher will have helped build the fundamentals so the video will seem easier after that too! Thank you for the kind words though it’s much appreciated 😁🙏🏼

[@Kevin-zf9om]

Your teacher has 20 students to teach to. Because not everyone understand something at the same time.

[@vastbard9829]

@@Kevin-zf9om your*

[@vastbard9829]

@مريومة it's a joke lmao

[@Unknwonhhsha]

@@Kevin-zf9om and he have 177k students,

[@omaralayashi]

OMG I've been searching for videos on upper and lower bounds for days and I came across your video....This was sooooo helpful, I finally understand this topic. You literally explained this topic in less than an hour which my teacher couldn't do in weeks. And yet you explained it much better than him. You are a really GREAT teacher and u just gained a subscriber!!!!!

[@TheGCSEMathsTutor]

Amazing news!! I’m so glad to hear that you have find a resource that works for you, always nice to hear so thank you for the kind words 😁🙏🏼

[@alizariaz98]

Sameee

[@oliviaaa2324]

in my exam ill be like "well this is particularly nasty" HAHAHAH

[@idrk1507]

Hello sir. I don’t think you remember me, but you asked me to tell you my final GCSE Maths results to a comment I made about how I followed you since Year 9. I got a grade 9!

[@No.Handle.]

I know I am not Sir, but congrats!

[@abcdefghijklmnopqrstuvwxyz937]

congrats man

[@user-jb7ee2fy3q]

Congrats

[@user-hn6jj8gt2i]

i’ve got my 2022 GCSE’s this morning and this youtube channel has helped me more than my teachers! I learn the topic so much better and quicker by watching your videos😀Thank You for making these videos!

[@TheGCSEMathsTutor]

I’m so glad to hear the channel has been so helpful for you and the format of the lessons has obviously worked for you! Amazing news, please do let me know how you get on and I’ll finish by wishing you the best of luck in your exam today! You’ve got this 😁💪🏼

[@mochaxbear]

im so glad i discovered your channel- i was really struggling with maths especially now that our gcse's are all predicted and ive just been using your videos to revise so again thankyou so much!

[@everythingtv4875]

how did it go?😊

[@mochaxbear]

@@everythingtv4875 heyy i got an 8 and im also taking maths and further maths at alevel

[@everythingtv4875]

@@mochaxbear omg that’s amazing well done! i’m so happy for you

[@mochaxbear]

@@everythingtv4875 thankyou so much

[@birdie7344]

@@mochaxbear thats really impressive! how many years of past papers did you do?

[@Sophia-ok4ce]

Just wanted to say, your videos are my revision :) honestly don’t know how I would revise without these

[@Phillips1758]

You are such a great teacher. From your walk through of past papers to your topics like above. Thank you 😊

[@TheGCSEMathsTutor]

Thank you so much! Glad to know they are working for you 😁🙏🏼

[@Masowe.]

thank you so much,,,,i have been struggling with these bounds especially when it comes to "by considering bounds"

[@TheGCSEMathsTutor]

COSTIE TV My pleasure!!!! Sounds like you are working extremely hard so well done!!! 😁🙏🏼

[@to_discover_life]

U literally can take full credit for my grade 9 lol you helped so much, keep it up u legend.

[@TheGCSEMathsTutor]

You put the work in, I’m just glad I was a part in your journey to that grade 9, what an achievement! Congratulations 🥳🥳

[@to_discover_life]

@@TheGCSEMathsTutor Yeh honestly I didn't expect such a good result, it was your guidance that helped me along the way and to that I am deeply grateful.

[@birdie7344]

@@to_discover_life thats soo good! any tips?

[@to_discover_life]

@@birdie7344 Yeh course so what worked for me was scheduling my day and staying motivated. I know that sounds like a bore but it pays of in the long run and it's all a choice. For example waking up early helped me get a lot of work done. I also made sure to cover all topics and I was doing some past papers to get an idea of the kind of questions asked.

[@birdie7344]

@@to_discover_life oh! also, if you don't mind me asking, how many years of past papers did you do?

[@xuleagar3977]

I would rather have u for my maths teacher Your the best teacher i learnt alot from you

[@TheGCSEMathsTutor]

Xula. io Amazing news! So glad to hear that the channel is obviously working for you 😁🙏🏼🙏🏼

[@charismaticj3972]

Um in love with this man's work ❤️🤭I forever appreciate it

[@erwin5731]

I’m now fully confident with this topic thanks to this

[@adityashijikumar1131]

I have my maths test in 2 hours and this video just helped me revise the whole topic in a matter of minutes…. Thank You so much The GCSE Maths Tutor! Your videos are amazing man!

[@jibrilmustapha942]

Sensational Aditya!!!! Absolutely sensational!!!

[@farhanafzal4483]

Don’t lie the vid is 45 mins long. Jokeman

[@shahla7054]

Ur a life saver bro! Keep up the noble work

[@mzhd3136]

Wow, you make the method look so easy and simple.....Thanks for the great video! I am watching this at the last minute before my end-of-term Maths Exam! XD

[@helenedesilva6866]

This is amazing, thank you so much for your hard work!

[@sahityavenkat8787]

omg I really have to thank you so much for this video, I have my maths exam tomorrow and this really helped!^^ all this time I thought this topic was a nightmare, and after I've seen this video, it isn't so bad after all! thanks a lot again :)

[@lokid6125]

When I tell you you actually saved me from almost breaking down in tears, thank you so much for this!!

[@TheGCSEMathsTutor]

So glad to hear that! I’m always glad to know my channel has helped in some way or another 😁🙏🏼

[@Sup7569]

Oof my man said breaking down in tears

[@vaexal9398]

TYSM I FINALLY FEEL SMART FOR ONCE IN MY LIFE

[@LewisMusic17]

Your videos are incredibly helpful

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you deserve so much more hype

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Honestly UR A LIFE SAVERRR!!!

[@HydroInvalid]

THANK YOU FOR HELPING ME UNDERSTAND I WAS SO CONFUSED

[@user-ro3yb6hq2v]

this has helped me to understand this brilliantly thank you so so much

[@user-kf6um2xd2m]

thank you TT i have my mocks tmr and you elaborate stuff so well...

[@TheGCSEMathsTutor]

So glad to hear it 😁🙏🏼

[@inayahaslam4111]

Big up gscse maths tutor 😂

[@habibadiamond6860]

That was very useful 🙂 Thank you ☺️

[@Alaia1420]

Thank you so much.Really appreciated for the hard work and effort you put in solving these tricky questions. You are absolutely genius.

[@TheGCSEMathsTutor]

So glad you are enjoying them! Thank you for the kind words!! Let me know how you get on 😁🙏🏼

[@effexmist6365]

I have a maths test tomorrow and I was really struggling on bounds. This video has helped alot

[@sulaimaimad5843]

SAME ISTG

[@andrewmonson9872]

verry helpful thank you for the video.

[@underscore2708]

thank you so much! I honestly don't get why your so underrated- you help me out so much :'D I'm in year 9 early revising for GCSE's, doing stuff our teachers haven't covered yet so your video really explains how to do everything. I'm aiming for a grade 9 and your making it really easy to learn all the topics thanks :3

[@na092]

same, I’m in year 9 and terrible at maths

[@underscore2708]

@@na092 yuh i'm trying to get a lot better so that i can come up to my teachers with my good grades and be like YoU WErE DeLuSiOnaL i wAs NeVeR bAd aT mAths

[@na092]

@@underscore2708 exactly, except I’m trying to get good in every subject especially English and history because I’m hon3stly so bad at them 😀

[@etheralic]

@@underscore2708what did u get on ur gcses

[@underscore2708]

@@etheralic forgot ab this comment lmao but ended by getting an 8 in maths, 8s in physics, biology, chemistry, 9s in english lit and lang, 9 in history, 9 geography, 8 art and 8 french.

[@frosty_Xy]

This is much better than listening to my teacher trying to explain this to me Thanks a lot for all of these questions you really are helpful ❤️

[@TheGCSEMathsTutor]

So glad to hear the channel is working for you! Sometimes all you need is that period of independent study time! Thank you for the kind words 😁🙏🏼

[@frosty_Xy]

@@TheGCSEMathsTutor you are welcome keep staying a good teacher 😁❤️

[@exl4shiro226]

Thank u this helped a lot

[@vikramseth6676]

Thankyou so much sir! I’ve seen your videos and all of them helped me in my exams! Thankyou again!

[@TheGCSEMathsTutor]

So glad to hear that! 😁🙏🏼🙏🏼

[@emeerueben3332]

​@@TheGCSEMathsTutor Please what app do you use to teach in your videos?

[@s7haani]

you are of tremendous help. thank you so much for your contribution!!

[@user-yb9of4tq1c]

absolute god bro

[@mako.chiwariro9978]

Great video thanks sir

[@Sam-nu6sl]

TYSM!!

[@huzaifayounus6896]

Thank you.

[@taj_is_bored]

THANK YOUUUUU

[@a.a1061]

THANK YOUUU

[@user-yq6fi5qs5o]

Thank you sir

[@shabadkaur6465]

at timestamp 14:35, why do we need to round both lower and upper bounds to the same value.[ Same degree of accuracy]

[@tayseeralhameed6572]

life changing.

[@TheGCSEMathsTutor]

So glad to hear that! 😁🙏🏼

[@francoclayton6900]

thank you very much !!!!! liked and subbed

[@TheGCSEMathsTutor]

My pleasure! Thank you 😁🙏🏼

[@daggerman4303]

thanksman you hleped alot

[@rabiiiii]

Thanks bro

[@9I09I90]

32:50 i got the answer in miles per minute, is that still ok?

[@playtoday572]

U should have more subs i subbed to ur channel!!!

[@a.a1061]

32:49 isnt it better to find the mean? thats what my teacher taught me. i feel like thats more accurate no?

[@mayaahhmedd]

That’s what I thought too!! Hoping both ways are correct approaches 😭

[@aymanhalim990]

Thanks a bunch for making a helpful video on this topic! 😃 Well, is it really necessary to change the unit from minutes to hour can't I just keep it to minutes if I give answer in miles per minute?

[@TheGCSEMathsTutor]

Glad you enjoyed it! It entirely depends on which units the question asks for! But you could leave it in miles per minute if it’s unspecified for sure 😁🙏🏼

[@gsmtngsmtn8787]

thank you for sharing this you are a good teacher

[@sid4931]

The intro's a vibe.

[@TheGCSEMathsTutor]

Glad you like it! 😁🙏🏽

[@hushpupilavish5115]

If it was like 75 and 84, which can be rounded to 80 if u round it to 100 would it still be right or would it be wrong?

[@Goldi3loxrox]

i did gcse 30 ys ago and i dont ever remember the word upper and lower bound calculations. perhaps it was known under a different name. ?

[@TheGCSEMathsTutor]

Jade As far as I am aware it’s always been called bounds but then it wasn’t on the GCSE when I was at school so it may well have not been included! 😁🙏🏻

[@hellothere-bx8cf]

I think u mean limits of accuracy

[@kenny-qo4qx]

Big thank you!! One question: How would you work out the UB and LB of a question involving subtraction & powers? Eg 2.4 - 1.1 correct to 2 d.p.

[@ayaanrahman3978]

Legend

[@de_me_in_hasty2303]

Hi,do you A-levels maths topic videos?

[@GCSEALevelMaths]

Good video sir great job sir.

[@ryze5436]

Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi Hi Hi hi hi hi

[@user-si3jr3nn7o]

Thank you so much, your videos are very helpful.❤

[@TheGCSEMathsTutor]

Sonia Galiza Thanks for the feedback 😁🙏🏼 I’m so glad you are finding them useful! Let me know if there are any topics you’d like pushing to top of the to-do list!

[@user-si3jr3nn7o]

@@TheGCSEMathsTutor thank you. could you do mutually exclusive events plz

[@TheGCSEMathsTutor]

Sonia Galiza I’ve started this series today - Probability Trees (Independent Events) | Higher & Foundation | GCSE Maths Tutor kzbin.info/www/bejne/pIScgHyaodp1rdk

[@hxvoc_7708]

why do we do time different, why 2.5? i thought it said to the nearest 5 so 175 and 185?

[@ajgmz]

Legend man love bro

[@TheGCSEMathsTutor]

👊🏼

[@ajgmz]

@@TheGCSEMathsTutor Thanks for the heart bro but for real you deserve the good comments because you do help us 👊

[@TheGCSEMathsTutor]

@@ajgmz Thank you so much! I try my best 😁🙏🏼

[@ajgmz]

@@TheGCSEMathsTutor 👍 Just keep up the hard work and let's end this conversation 🤣

[@ghazanjazz8689]

Would this help for the GCSE Exams in grade 10? am asking it says 7 to 9

[@Abdullah-pp3rh]

Can i use these videos to prepare for igcse maths ?

[@tombaker1643]

In the exam, could we be asked addition, subtraction and multiplication or would it just be division? Thank you btw, these videos are amazing.

[@TheGCSEMathsTutor]

Tom Baker Absolutely! I’m actually just in the process of putting together a ‘5 hardest bounds questions’ video that should be going live tomorrow so keep an eye out for that! Glad they’re helpful 😁🙏🏼🙏🏼

[@tombaker1643]

@@TheGCSEMathsTutor Hi, another question, can you make a video of area of trapizium and completing the square without the graphy thing.

[@TheGCSEMathsTutor]

Tom Baker Completing the square: kzbin.info/www/bejne/nH6ke4l-eJeZr8U and further completing the square is in the description! What kind of trapezium work? Just basic area of a trapezium or using it to find the area under curves etc? 😁🙏🏼🙏🏼

[@tombaker1643]

The GCSE Maths Tutor just basic area please

[@TheGCSEMathsTutor]

Tom Baker I’ll see what I can do! 😁🙏🏼🙏🏼

[@exonanimations1234]

Amazing video as usual! Out of curiosity though, what happened to the 2019 paper walkthroughs?

[@TheGCSEMathsTutor]

exon animations Thanks! That’s much appreciated!! 😁 all the exam walkthroughs will go live closer to the exams!

[@exonanimations1234]

@@TheGCSEMathsTutor oh ok, makes sense, thanks!

[@farahnaznasirahmad8964]

Can you please please put some more accuracy problems. I don’t know why there isn’t answer for variety of questions.

[@curious6678]

I don't quite understand why the answer would be 100 at 33:10. Pls clarify

[@tahamuhammadismail329]

Please can you make videos on A level maths thanks

[@mazvitax6511]

hi sir how do you know if its decimal place or signifiant firgure for the explanation

[@TheGCSEMathsTutor]

When considering bounds you can use either, whichever works for the question 😁🙏🏼🙏🏼

[@elhunchom3299]

But how do you get the upper and lower bound of 43.53

[@riapkl1912]

wait at 30:00 how did u do with calculator

[@user-gi3yr1gl7j]

hi sir, i have a question: when it says 3 d.p but its 8.00764 do you consider the 0's or not?

[@TheGCSEMathsTutor]

sleep Absolutely! That would round to 8.008 to 3dp. The interesting part comes when it’s something like 2.000456 to 3dp as this would round to 2.000 and you would have to include the 0’s 😁🙏🏼🙏🏼

[@seyhi7616]

I am in love with you, not even gonna lie

[@ButtChinsAreHereToStay]

16:00 How about truncating to 1 decimal place ie 5.6. Would they accept this answer as it is closer?

[@Angelinaaa-vc4zx]

nah cuz then the upper bound would round to 5.7

[@DWilz]

my weakness is error intervals. thanks!

[@mksoccer1403]

Breaking news you again saved one student from failing

[@JP-xk3zu]

Thank you...Can you make a video on how to revise for maths (flashcards, mindmaps etc) and how many hours a week should I revise if I want a grade 9 in maths?

[@bobsham9136]

J P you can’t really revise maths. Maths is always new, there will always be questions on a test that you have never seen. There will be an approach to that question that you have done, but it will be worded differently

[@TheGCSEMathsTutor]

J P I will put a few videos together in the run up to the exams 😁

[@JP-xk3zu]

@@TheGCSEMathsTutor thank you

[@sahilaziz5718]

J P tbh to revise maths i think you should get a notepad take notes on each topics then solve questions on them topics as their really useful.You can also go on the maths genie website and print out topic exam style question worksheets as their really useful

[@pkg808]

legend

[@TheGCSEMathsTutor]

Thanks 😁👍🏼

[@aymanhalim990]

Can I write 80 mph to nearest ten?

[@fizzah4619]

i wanted to ask if you will be able to upload all the vidoes for each topic and subtopic for maths higher by this years Gcse

[@TheGCSEMathsTutor]

Ariaa Absolutely! I’m already a good chunk of the way through! 😁 So I should be able to get them all done...that’s the plan 👍🏼

[@zsr0683]

hi, for your 3rd example you rounded 5.6 to 6 but for the 4th example you didnt round 0.4 to 0 - I know its probably because 0 isnt sufficient answer or something but just wanted to check on why that is and in exams if the answer isnt 0 when we round the number should we always round the number? thanks so much for this video and sorry if my comment is abit confusing

[@aedancraig3136]

Well basically, why he did this is because 5 in UB is a higher number for rounding And 4 in LB is a less number for rounding So basically if both numbers are in a level whether higher or lower, you can consider 5.6 For example: UB = 5.68 LB = 5.65 As you can see 8 and 5 are in a higher level, so you can consider it to be 5.6 And goes same with the lower

[@killz7225]

bro i spent 3 sessions straight to fail to understand it compared to 5 minute of watching this video and understanding the whole thing LMAO.

[@Szsk3810]

33:38

[@dulnethbernard5844]

Sir is it possible for you to Do congruency. . It’s a bit hard.

[@khattakjarir3399]

i agree

[@Ali-pu7ps]

for the last question my reason was to one decimal place would that be correct?

[@TheGCSEMathsTutor]

If they both round the same to 1 decimal place then absolutely 😁🙏🏼

[@Ali-pu7ps]

@@TheGCSEMathsTutor the goat replies 🥲 appreciate it

[@TheGCSEMathsTutor]

@@Ali-pu7ps I try my best! 😁🙏🏼

[@bobsham9136]

Where do you get these practise questions from? Do you make them up?

[@TheGCSEMathsTutor]

Bob Sham I’ve been teaching for ages.. they are mostly made up but I forget over the years where certain questions have come from 🤣 they are all in line with exam style questions and other bits I put together! These are all just straight from my lessons!

[@bobsham9136]

The GCSE Maths Tutor ahah okay. Thanks😁

[@mohamedfaisal7587]

thanks from maths genius boy

[@nashparbhu]

will this be in maths paper 2 2022??

[@TheGCSEMathsTutor]

Please check the checklists that you can download in my description 😁🙏🏼

[@althaiajuzame8014]

Thank you so much! I’m doing homeschooling, and my igcse’s are in may/June 2024. I took Extended mathematics, because I am also doing Computer Science (I need it to take Computer Science A level). I am struggling with maths, but thanks to your videos , I get the hang of it really quickly!😁

[@Lea-sroga]

at timestamp 16:30 , is the answer meant to be 5.6? also your videos help me

[@fortnitetryhards8459]

no 6

[@lolllhello7718]

I’ve liked All ur vids 😁👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍👍

[@TheGCSEMathsTutor]

Lolll Hello Amazing! 😁🙌🏼 thank you!!!!!!

[@lolllhello7718]

The GCSE Maths Tutor Your welcome These videos are what keep me going I ask you please to continue making GCSE videos for more years to come as I am aware maths changes Could I also request that you make more videos that focus on exam walkthrough and solution I recommend this channel to everyone 👍👍 Please listen to my requests Thank you for taking the time to read this👍

[@TheGCSEMathsTutor]

Lolll Hello that’s so great to hear! 😁 I will absolutely continue you needn’t worry about that! I have the whole curriculum to get through over the next 5 months! I will do a lot more exam walkthroughs, I just have other bits to get finished ASAP and then it’s all I will be doing! 👌🏼 thank you for sharing it, it really helps the channel out!!

[@lolllhello7718]

The GCSE Maths Tutor Your welcome thank you for the great vids Also I’m not doing GCSE yet so please make videos for more years to come as they will help me when it comes to the time I will do my GCSE

[@TheGCSEMathsTutor]

Lolll Hello Well hopefully the channel is successful this year! If it keeps growing then I will keep posting videos 😁 your support is really appreciated!

[@liammay4465]

Today I got a question and it asked the lower and upper bound of an angle in a triangle can you help

[@ryze5436]

Idk

[@ryze5436]

:/

[@NotBigGTime]

poggers 👍

[@walareyaan7864]

yo ik it prob save s time thats y u go quick but would u mind slowing down and explaining the questions more

[@TheGCSEMathsTutor]

If I’m going too fast change the setting to x0.75 speed! 😁🙏🏼

[@Victoria-gr3wn]

Voy por el minuto 25:50

[@xkhanz777]

How many marks would these questions be?

[@khattakjarir3399]

4 or 5 id say

[@Idklol993]

Why do we stick a 5 at the end..

[@akankhya1644]

We stick a 5 at the end because, if the question asks for nearest 1 decimal place (d.p) 0.1 divided by 2 is 0.05. Another example- if the question asks for 2 d.p then 0.01 divided by 2 is 0.005. Did you understand?

[@user-lq1gp8cp6b]

Umm….y did you add 2.5 and take away 2.5 for the lower and upper bounds….?

[@User.19651]

Do yk the answer to this yet bc I still don’t know