The 5 Hardest Indices Exam Questions | Grade 7-9 Series | GCSE Maths Tutor
A video revising the techniques and strategies for completing 5 of the hardest questions on indices - Higher only (Grade 7-9)
This video is part of the Number module in GCSE maths, see my other videos below to continue with the series focussed on indices.
Useful videos to watch before this one:
Negative and Fractional Indices - Part 2 (Higher & Foundation) | GCSE Maths Tutor - • Negative and Fractiona...
Negative and Fractional Indices (Higher Only) | GCSE Maths Tutor - • Negative and Fractiona...
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 - • 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...
The 10 Hardest GCSE Maths Questions & How to Solve Them | Grade 9 Maths Series | GCSE Maths Tutor - • The 10 Hardest GCSE Ma...
More videos in the Number series:
All of Number in Less Than 1 Hour!! Foundation & Higher Grades 4-9 Maths Revision - • All of Number in Less ...
Part 1 - Multiplying Decimals - • Multiplying Decimals (...
Part 2 - Product of Prime Factors - • Product of Prime Facto...
Part 3 - Highest Common Factor (HCF) - • Highest Common Factor ...
Part 4 - Lowest Common Multiple (LCM) - • Lowest Common Multiple...
Part 5 - Laws of Indices - • Laws of Indices - Part...
Part 6 - Fractional and Negative Indices - • Negative and Fractiona...
Part 7 - Fractional and Negative Indices (Higher Only) - • Negative and Fractiona...
Part 8 - Standard Form Conversions - • Standard Form Conversi...
Part 9 - Standard Form Calculations - • Standard Form Calculat...
Part 10 - Recurring Decimals (Higher Only) - • Writing Recurring Deci...
Part 11 - Fraction Calculations with Mixed Numbers - • Fraction Calculations ...
Part 12 - The Product Rule for Counting (Higher Only) - • The Product Rule for C...
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Thank you so much. I'm really trying to turn myself around in all subjects this year. unfortunately, it's so close to my GCSE'S now, only a few months away and it's really stressful and scary since I never even tried in my previous years. I find these videos so useful, and I really appreciate what you're doing, so from the bottom of my heart, thank you so much. You're changing my life
@Rafmee
3 жыл бұрын
Gabsone Saneee!! I did nothing in the previous years I regret it so bad.
@memetris6971
3 жыл бұрын
@@Rafmee I personally think your in an alright position... cause i frequently see people that study 2 weeks before the exam
@askhfbfns67589
3 жыл бұрын
how coincidencial is that, im in the exact same situation :3
@samsolo-os9ie
2 жыл бұрын
howd you do
@nightsoulco
2 жыл бұрын
@@samsolo-os9ie I did good actually, I got a 6 (I live in the UK) which is equivalent to a US grade B or something. (Idk where you live)
give this man a raise
there's actually an easier way to calculate b in the last question. if you know that 9= 3^2, and square root of 3 =3^1/2, that means 3^2 x 3^1/2, then you can just add the powers to get 3^2.5
@AB-ku8du
3 жыл бұрын
You’re right! This method is much simpler and makes much more sense ( at least to me), thought process wise.
@drillman221
2 жыл бұрын
ur a genius
@everythingtv4875
2 жыл бұрын
wow thanks so much!
@adeshewaadebayo7480
2 жыл бұрын
omg thats what i did
@nads0907
Жыл бұрын
i did that too i couldn't do all the other ones by myself but i somehow did the last question onmy own
you're saving my GCSEs! thank you.
@TheGCSEMathsTutor
4 жыл бұрын
That’s so great to hear that the channel is having a positive impact! Keep up the great work!! 😁🙏🏼
I always got these wrong on tests but I finally get them!!! These are still really difficult though 😬 Thank you again for another brilliant video
@TheGCSEMathsTutor
4 жыл бұрын
James Chester Great news! These are certainly very difficult questions though! Keep up the great work 😁🙏🏼
@Demi305
2 жыл бұрын
mol da
Thank you so much for all the effort you’re putting into these fantastic and really helpful videos. Because of you I was able to go from a 6 in November to a 9 in the February mocks. Thank you!!!
@TheGCSEMathsTutor
4 жыл бұрын
Tom WOW that is spectacular!!! That is serious progress well done! 🙏🏼 make sure you keep up the great work now to maintain it but hats off to you that is incredible! Thank you for the kind words 😁🙏🏼
@shanejoy6461
3 жыл бұрын
how did you revise please help!
@aurixiaispreppy7454
3 жыл бұрын
i wish i'd have revised more from november to now so I could've improved more
Really love the calm intro and overall explanation can not be underestimated. Keep it up!!!
@TheGCSEMathsTutor
4 жыл бұрын
Amazing I’m glad you like it as it took me ages to make!! Great to hear it’s all working out so well for you! I will do my best 😁🙏🏼
@Sol4rOnYt
Жыл бұрын
@@TheGCSEMathsTutor who doesn't love that intro?
@paulcazza
Жыл бұрын
I think the whole approach of calmness is a part of the key. It says - "Look Sticky Question coming up - these are the tools to crack it open and have it gurgling happily on your lap. It's just like changing nappies!" Thank you TGMT
Looking at these questions hurts my head
The really low and calm piano in the background actually helps a lot
I love everything about the format of your videos. Your subtle explanations, the gentle justifications of your answers and to mention.. the peaceful music in the background.
you are a literal lifesaver thank you so much for this video
@TheGCSEMathsTutor
4 жыл бұрын
My pleasure! Just glad it’s helpful 😁🙏🏼
Thank u so much sir for all ur help i am year 11 and due to your awesome videos in my mocks i moved from a grade 4 to grade 7. THANK YOU
@3chxui220
Жыл бұрын
so proud of you x
Thanks for this sir I went from a 5 in September to getting 8s in a lot of my tests now
@dilpreetnagra8097
2 жыл бұрын
what did u get in ur gcses
@TypicalSullyEditz
Жыл бұрын
@@dilpreetnagra8097 lol good question
@3chxui220
Жыл бұрын
well done im proud of you
nah if my teacher gives us these questions in my maths test on monday im gonna CRY. congrats on 60.5k subscribers by the way!!
thank you soo much im aiming for an 8 at igcse and youve helped go from a 5 to a 7/8. Thanks you
@beamboy07
Жыл бұрын
penois spagetti
Many thanks. With the last question, I thought it was just testing your knowledge of indices rules, i.e 3a x 3b x 3c = 3a+b+c. So you multiply the 3 together and as the 9s and root 3 cancel, it works out as 1. And if 3 a+b+c = 1, then a + b - c must = 0 because any number to the power of 0 =1
There is a quicker solution to question at 19 minutes. Note that 3^(a+b+c) is the result of the multiplication of the three given terms. When you multiply the 3 terms they all cancel so 3^(a+b+c) =1. Hence a+b+c = 0 (because 3^0 = 1)
@TheGCSEMathsTutor
2 жыл бұрын
Very well spotted and you’re absolutely right, I wonder how complex this would be however if they didn’t sum to 1. The method I’ve applied here would ensure marks were collected on an exam paper no matter the numbers in question but you’re method is definitely a viable alternative! Also, very well explained via a KZread comment so I take my hat off to you 😁👏🏼👏🏼
There's a much easier way to find what b is on the last question. Separate the 9 and sqrt(3) and make them both 3 to the power of something. So 3^1/2 = sqrt(3) and 3^3 = 9. They are both multiplying together so (3^1/2 x 3^2). Then add the powers and you get 3^5/2 so b =5/2.
@TheGCSEMathsTutor
2 жыл бұрын
Love it! 😁🙏🏼🙏🏼
@tess6484
Жыл бұрын
tyyy!!
@everythingtv4875
Жыл бұрын
thank u smm
Thanks for making these mate, they help me so much considering I have a mock on Monday and another at some point in the week. Do you recommend any ways to remember certain things/ any revision strategies?
@nawaladawe1640
Жыл бұрын
Active recall for sciences and any humanity. What i mean by this is take a look at your specification and then make the requirements into questions for you flashcards (i recommend anki its WAYY better then quizlet and it uses active recall!) for example students must know the definition of active transport. using bbc bitesize or a revision book (both are great tbh) make an answer to that question and revise that deck of flashcards for 7 days after that search up topic questions (gcse biology movement in cells or gcse physics energy past paper questions) and some lovely people on the internet would have already compiled it for you! For maths i would recommend doing questions from a topic like algebra from corbett maths or maths genie and then the questions you got wrong or werent able to get at all just search it up on youtube like fractional indices gcse maths and you will get lots of vids doing examples and giving you questions to do at the end. Hopes this helps xx
i cant seem to find any practice worksheets online for this. can you make some or let me know if there are any? found this video very useful!!!!!!
Thank you so much for the video please keep uploading you make my study life so much easier please upload more i really appreciate it like it makes so much easier for me to understand then learning from my teacher
@TheGCSEMathsTutor
4 жыл бұрын
Amazing to hear! I will do my best for you and thank you for the kind words, it’s great to hear that the channel is working out so well for you! 😁🙏🏼
dose anyone know where to find practice questions about this topic?
This channel could give me the grades I want for maths as I struggle with it a lot thank you so much 🤝🤝
@TheGCSEMathsTutor
4 жыл бұрын
Khan channel Fantastic! I certainly hope it will 😁🙏🏼
@jahink
4 жыл бұрын
@@TheGCSEMathsTutor also Maths tutor i would also like to ask what other way should I revsie for maths other than using your marvellous videos
@TheGCSEMathsTutor
4 жыл бұрын
Khan channel I would focus on past papers, identify topics you don’t know yet and then target these with the videos, and when you do watch a video, make a revision card, keep your notes in order with titles, keep them filed, make a revision pack from them! There is so much you can do using a video beyond just watching them that will benefit you to no end! I may try and make a video on this soon 😁🙏🏼
@jahink
4 жыл бұрын
@@TheGCSEMathsTutor thank you ever so much for this advice means a lot if I have any questions may I put it on here sir🤝🤝
@TheGCSEMathsTutor
4 жыл бұрын
Khan channel Absolutely! I will always do my best to help 😁🙏🏼
the last question is very funny.....after all that working and get 0
@everythingtv4875
2 жыл бұрын
i hate when that happens it feels like i wasted my time 😭
for the question on 10:36 can you 3-n = 1/3n which equals 0.2 and 0.2 is 2/10 which is 1/5 so then u flip 1/5 to get 5 which gets of the negative?
does 13:33 come up in a calc paper or non calc?
The second last one was way harder than the last. Working in powers of root3 made it way more complicated than necessary. Still great video as always
@TheGCSEMathsTutor
2 жыл бұрын
Glad to hear you found the last one ok! Always like to hear different methods did you do it in a different way? 😁🙏🏼
Do you have any practice questions similar to these so we can practice further our understanding?
at 9:15 it says 2 to the powr of blah multiply 2 to power of blah but its rearranged itno addition? i thpught that if you were to rearrange it itd be division
Omg I would struggle so much with these questions in my mocks u made it soo easy thanks so much !
@beamboy07
Жыл бұрын
mok
@beamboy07
Жыл бұрын
how did your exams go in the end ? :)
@beamboy07
Жыл бұрын
mok wok mok
@beamboy07
Жыл бұрын
mok wok
@beamboy07
Жыл бұрын
wok mok
can any1 please tell me which paper did the last one come in. like which year thank you
woah, i get through this video and realized indices is really that hard omg
@TheGCSEMathsTutor
2 жыл бұрын
Hope you’ve managed to figure it all out 😁🙏🏽
wow i actually understood something in maths, that felt strange!
Do you do any other subjects apart from maths?
I'm starting to find these easy thank you very much
@beamboy07
Жыл бұрын
isis is bad 123456789
@beamboy07
Жыл бұрын
10 moth a go a fly losd
I got all 5 right!!!! Anyway thanks for the somewhat challenging questions, this is a definite exam booster prep for my next week End Of Years
i remember getting the question at 14:05 on a practice paper, it hurt my head so much lmao, i thought it was meant to be an easy one, but realised its actually quite annoying for others as well.
@doyouknowdawae2625
3 жыл бұрын
and all i needed was the methods you taught in the video, which was like 2 minutes of my time. Thank you very much sir!
TO BE HONEST YOU GOT A BEST TEACHING SKILLS EVER! THANK YOU SO MUCH MY BESTFRIEND AND I HOPE I'LL GET A 1ST RANK BY WATCHING YOUR VEDIOS IN'SHA'AALAH😁🦋
@TheGCSEMathsTutor
Жыл бұрын
So glad to hear I could help 😁🙏🏼
Sir just wondering for the last question and for calculating b what are the indications that show we need to keep multiplying the root 3's because I dont understand how you would realise to use that in an exam
@beng5111
3 жыл бұрын
These videos are excellent ....on this one you may find an easier way to think about it to be.....write the product of the rhs of each equation to be equal to 3 to power x...simplify to give 1 equals 3 to power x.....or, alternatively, write each term as base 3 and solve the equation of the powers by adding
@sinistergaming1418
3 жыл бұрын
Just think it this way 9=3^2 And √3=3^1/2 the base is same so when u multiply the base u add the powers hence 3^2+1/2=3^5/2
Last question can be done more simpler using formula 3 power a * 3 power b * 3 power c = 3 power a+b+c 3 power a * 3 power b * 3 power c = 1/9 * 9*sqrt(3) * 1/sqrt(3) => 3 power a+b+c = 1 => 3 power a+b+c = 3 power 0 => a+b+c=0
i moved up a set because of you. Thanks
@skykingtenz1232
2 жыл бұрын
i am now top set!!!!
@TheGCSEMathsTutor
2 жыл бұрын
Wow!!! Fully smashed it 👏🏼👏🏼 well done!! Keep it up now that’s amazing news 🥳
@skykingtenz1232
2 жыл бұрын
@@TheGCSEMathsTutor thanks
Is there anywhere to practice these questions online?
thanks quite handy stuff
@TheGCSEMathsTutor
Жыл бұрын
So glad it helped! 😁🙏🏼
I did all of them easily but the last was interesting. BTW, what are you using to write?
@TheGCSEMathsTutor
2 жыл бұрын
Glad to hear it! I use an Apple Pencil or another stylus depending on which device I’m using 😁🙏🏼
Holyyy these are hard 😅😅 but practise makes perfect
this man is a genius
@TheGCSEMathsTutor
2 жыл бұрын
Haha thank you for the kind words 😁🙏🏼
@oliviaaa2324
2 жыл бұрын
@@TheGCSEMathsTutor please you deserve it you've literally been a saviour for so many students around the world!! I just wanted to ask if you'll start making videos for further math content?
@TheGCSEMathsTutor
2 жыл бұрын
@@oliviaaa2324 thank you so much I’m so glad to hear that! I’m just finishing the last few videos for the GCSE course and then I’ll be moving onto the next stages of the AS pure content 🙏🏼🙏🏼
@parthjain29
Жыл бұрын
thank you Olivia
@oliviaaa2324
Жыл бұрын
@@parthjain29 ur welcome parth
For the last question I just did 3^2 x 3^1/2, which is just 2 + 0.5
for the last one, just treat the 9root3 as two separate terms so 9 times root three
All ques were easy thank u
@TheGCSEMathsTutor
Жыл бұрын
Well done! 😁💪🏼
Can you please help me solve this question step by step. 9( to the power of minus one half)= 27(to the power of one fourth) divided by 3(to the power of x+1)
@muneebs1123
3 жыл бұрын
9^-1/2 is equal to 3^-1. 27^1/4 is equal to 3^3/4. Because 27^1/4 is being divided on the right side, we multiply it on both sides. 9^-1/2 x 27^1/4 = 3^x+1 However we know what 9 and 27 is to the base of 3 so we rewrite it as, 3^-1 x 3^3/4 = 3^x+1 Its multiplication so the powers add to x+1, -1 + 3/4 = x+1 -1/4 = x+1 x = -5/4
kinda off topic but what ipad do you use because i want a similar one with good value for note taking also thanks for ending my procrastination as soon as i saw this vid i grabbed my textbook and started practicing
@TheGCSEMathsTutor
2 жыл бұрын
Amazing news! Glad this video gave you that last kick you needed 👏🏼 I use both an iPad Air and an iPad Pro, I’d say the air is perfectly fine for note taking but I teach all my lessons in the classroom via an iPad Pro and it’s far superior to the air for intensive use, hope that helps 😁🙏🏼
@cali5635
2 жыл бұрын
@@TheGCSEMathsTutor yeah if I get a lot of 9s in gcss inshallah parents will get me ipad pro as I heard its helpful for medical school and a levels And it just looks so satisfying that I can literally go through a past paper without printing (correct me if I'm wrong)
@TheGCSEMathsTutor
2 жыл бұрын
@@cali5635 it’s so useful for that! You can’t beat it.. now you just need to get those 9’s 😁🤞🏼🤞🏼
hi, what year do you aim these videos at? i'm year 9 and i was wondering if these are the sort of questions that i should be aiming to be at already?
@TheGCSEMathsTutor
2 жыл бұрын
Year 9 onwards! I mean.. a lot of year 9 students may not see questions this tough, but I'd teach these for the first time to year 9 and revisit them again in year 11!
@anjaliacharya9672
2 жыл бұрын
@@TheGCSEMathsTutor Thank you!
I regret not doing anything in the past years because it’s my exam year now and I can’t pull myself back up in lesson cos of corona and now where I live they are doing teacher assessed grades and all my teachers think I’m dumb. No hope, honestly. :p
@khadija2625
3 жыл бұрын
hahaa what exams.. other than the boat load of topic tests they're giving us instead now... what exams??😁😂😂
@ytfresh4741
3 жыл бұрын
@@khadija2625 I just did a set of mock exams and doing another set in 2 weeks
@khadija2625
3 жыл бұрын
@@ytfresh4741 ouch
I did it this way before I saw your answer - does it still work? 3^2x=1/81 3^2x=1/3^4 3^2x=3^-4 (cancel out 3's) 2x=-4 x=-2
Hi how do you know if it’s a negative or not could you please explain?
@TheGCSEMathsTutor
2 жыл бұрын
Could you explain further? Possibly time stamp the moment you are referring to 😁🙏🏼
hello, I have been trying to find out this question 9260=5nx7x11 find the value of n Any Help
@irc7504
3 жыл бұрын
thats really easy..
@J.246
3 жыл бұрын
u do 9260/77=120.26 and then 120.26/5=n = 24.05 i think...
@aqacquires4243
2 жыл бұрын
you multiply 5n x 7 x 11 = 385n. Then you divide 385n/385 = 1n and on the other side 9260385 = 24.05 THEREFORE n = 24.05. hope this helped
@aqacquires4243
2 жыл бұрын
@@irc7504 🥇
for the first question, could I use the log button on my calculator and still get full marks?
@riaasx
2 жыл бұрын
How would you do that x
how many marks is the last one?
would these be on a non-calc? - thanks
@TheGCSEMathsTutor
2 жыл бұрын
It could be on either 😁🙏🏼
I need more explanation on this
When u relies this man can teach better then ur teacher
the math is mathing a bit too much
I do wish you put the amount of marks each question would be worth. I there any chance you Could put their marks in the description ??
@TheGCSEMathsTutor
2 жыл бұрын
It’s unlikely I’ll have time and unless they are from an exact paper any marks would only be estimates of which they will all be 2-3 marks! I don’t tend to teach using marks in a classroom so it’s not something I’d probably plan to incorporate into a video 😁🙏🏼
Very useful sir great job!! I’m nearly at 1000 subscribers!!
@beamboy07
Жыл бұрын
INCredibke thast very ainm pressuve!!! iamn bvery jeouloyus
That zero though
are GCSE cancelled or just delayed ?
@TheGCSEMathsTutor
4 жыл бұрын
At the moment it’s very uncertain and I don’t want to speculate, I will update on the channel when we have concrete information 🙏🏼🙏🏼
Great video
@TheGCSEMathsTutor
2 жыл бұрын
Thank you! These were tough… how did you find them? 😁
@skykingtenz1232
2 жыл бұрын
@@TheGCSEMathsTutor yeah they were difficult so I hope they don't come on my test. But I will watch again and understand it better each time. Thanks!
@TheGCSEMathsTutor
2 жыл бұрын
@@skykingtenz1232 great idea! And then you’ll be hoping it does come up on the test… hopefully! 🙏🏼🙏🏼
I’m confused by the second one. With your workings out you got 300 but double checking this on a calculator it says the answer is 360,000
Sup 2023 gang
17:45 for anyone who doesn't understand his method of finding out b, i know an easier way. since we know that sqrt(3) is the same as 3^1/2 and 9 si the same as 3^2, we can write it as 3^b= 3^2 * 3^1/2 now its much eaasier since we can just cut out the two 3's and add the powers and we get 2+1/2 which equals 5/2 so the answer would be b=5/2 well I hope this helped. have a good day
@anyonymous9145
2 жыл бұрын
how does 2 + 1/2 = 5/2 or have u just done 2 denominator times by the 2 and then added 1?
Idk why, but I found the last one quite easy
@TheGCSEMathsTutor
2 жыл бұрын
Always a nice moment when you get the hardest one right? 😁👍🏼👍🏼
I didn't understand why it is 3 to the power of - 4 2:41
👌
10:25
when ur video ends its so saddening :( no more challenging questions
@TheGCSEMathsTutor
2 жыл бұрын
Ahhh glad to hear you enjoy them! Lots more in the series though 😁🤞🏼🤞🏼
All right only last one a liitle tine mjsyake
👍🏽👍🏽👍🏽👍🏽
@TheGCSEMathsTutor
4 жыл бұрын
aaron janjuha 😁🙏🏼🙏🏼🙏🏼
Nice video
@TheGCSEMathsTutor
4 жыл бұрын
Turbiyo Thank you 😁🙏🏼
This is super difficult 😓
why isnt b= 9/2, why 5/2- HELP
@MoldingMatty
2 жыл бұрын
He did it by seeing how many times you need to multiply it in order to get sqrt(-3) * 9. But you can also just do 3^1/2 * 3^2 and get 2.5,
lol i have to learn this in grade 6
I will never understand that
16:54 what the hell are you doing, there is a much easier way, 9√3 = 3^2 x 3^1/2 = 3^5/2 from adding powers
i already did my gcses but reviewing these for a levels. these suck
@jackmister1258
3 жыл бұрын
Bruh
try to be more clear in your speaking and explanation. Not everyone is capable of understanding a British accent
@TheGCSEMathsTutor
2 жыл бұрын
Sorry that you are struggling to understand my accent. This is the first comment that has ever mentioned this out of tens of thousands of comments so I’m quite shocked as my clarity of speaking is one of my primary goals on the channel, but my only advice to fix this would be to turn on the captions so that you have subtitles, I hope this helps! 😁🙏🏼
The 2nd is disgusting.
I'm living in an Asian country and it's both funny and heartbreaking that he's calling those easy questions nasty 🥲🥲🥲 feels like our maths is over complicated...