A Difficult Inverse Proportion Question (Rate of Output) | GCSE Maths Exam Paper 2 November 3rd 2022

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Here is a difficult exam question on Inverse Proportion in Context that I have selected to help with the 2022 GCSE maths paper 2 exam. I hope you enjoy it!
For more difficult questions, see the videos below:
The 5 Hardest Topics On the 2022 Maths GCSE Exam Paper 2 (Calculator) June 7th | TGMT - • The 5 Hardest Topics O...
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💡 Topics featured in this video💡
Inverse Proportion in Context - • Inverse Proportion in ...
Direct Proportion in Context - • Direct Proportion in C...
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13 окт 2024

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Комментарии : 68

@TheGCSEMathsTutor 2 года назад

💎 Last Day Revision Predicted Paper 2 - 7th June 2022 | Higher Exam Walkthrough - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-aWOqluvnWYE.html 💎 Every Topic on the Paper 2 Exam Advanced Information List 7th June 2022 - Paper 2 June 7th 2022 - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-iuuBKnknfRM.html 💎 The 5 Hardest Topics on the Paper 2 Exam June 7th 2022 - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-b3vk2umK10o.html 💎 Check out the NEW website now - www.thegcsemathstutor.co.uk 💡Revision videos: 💎 The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-8A3crqKb13I.html 💎 Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-o9VuZhCqR2U.html If anyone would like to support the channel you can buy me a coffee ☕ here: www.buymeacoffee.com/gcsemathstutor Check out the new shop 👕 here: the-gcse-maths-tutor.myspreadshop.co.uk/ Thank you for all of your support! 😁🙏🏼

@musictheme6625 2 года назад

This is difficult grasping, but I discovered a way to make it really simple. In terms of making 40 total bottles instead of 40 days. 1) 8 x 5 = 40 total bottles to make 2) 2 x 4 = 8 total bottles (already in the bag, we've made or established & 32 left of the total) 3) 40 - 8 = 32 bottles still to go. (& we now know 2 days of work makes the 8 bottles) 4) 32 ÷ 8 = 4 extra days (of making 32 bottles with 2 machines) 5) Thus, add the 2 days + the extra 4 days to get 6 days Or 6) Thinking if 2 days make 8 bottles. 32 still left. 32 (left) -8 (established bottles) = 24 bottles to make within every 2 days 24÷8= 3 2x3= 6 days. Such as from 8 to 16 is 1 hop (multipled by 2 days) 16 to 24 is 1 hop (multipled by 2 days) 24 to 32 is 1 hop (multipled by 2 days) And 3 total hops together Each hop worths 2 days. 3 x 2 = 6 days in total. Hope this helps!

@TheGCSEMathsTutor 2 года назад

Love it! These topics that spark different methods are fantastic! Great method there 😁🙏🏼

@estheromoyele3321 2 года назад

This comment helped sooo much- thx x

@musictheme6625 2 года назад

@@estheromoyele3321 ur welcome, check my latest comments on the community post of this channel, b4 u complete ur 2 calc exams.

@lola7172 2 года назад

Thank you so much for this I am truly grateful

@Tia-dd3qs 2 года назад

Thanks

@GCSEALevelMaths2025 2 года назад

Looking forward to this video sir. You're a fantastic teacher and tutor. We need more people like you and rate my takeaway in this world.

@TheGCSEMathsTutor 2 года назад

Thank you for the kind worlds 😁🙏🏼

@Saadali-up1hx 2 года назад

@@TheGCSEMathsTutor 😀 thx youve helped me so much if it wasnt for you i wouldve got a grade 4-5 instead of a grade 8-9 thx so much i appreciate it so much thx.

@quervy4097 2 года назад

I let the total number of bottles = 100 8 machines -> 5 days 1 machine -> 40 days 4 machines -> 10 days 100 / 5 = 20 bottles 100 - 20 = 80 bottles if 8 machines -> 5 days in 1 day they can complete 20 bottles 80 / 20 (per day) = 4 days first 2 days + reamining 4 days = 6days

@TheGCSEMathsTutor 2 года назад

Love it! Another fantastic method, great to see so many different methods being applied this is fantastic 😁🙏🏼

@atkanku 2 года назад

wait where did 100 come from?

@beomgyusberry5773 2 года назад

@@atkanku it was assumed to help answer question

@sands_12120 2 года назад

the way i worked it was using the second line to come up with n=8m*5 so n=40m then i wrote first 2 days = 4m+4m where the total = 8m third onward= 8m where the total is 16m fourth day total = 24m fifth = 32m and sixth = 40m showing me it took 6 days in total to get 40m which equals the number of bottles

@TheGCSEMathsTutor 2 года назад

Love it!!!! 👏🏼👏🏼👏🏼

@jemimat637 2 года назад

I’ll be needing your help with Alevels very soon !

@TheGCSEMathsTutor 2 года назад

Good job I’ve started the a level playlist 😁🙏🏼

@sharvaaniramkissoon1720 2 года назад

Could use fraction to solve this. In first 2 days 1/5 of number of bottles finished. If in 5 days, 8 machines complete all bottles, which is 5/5, then 8 machines take 4 days to complete 4/5. So total of 2+4, 6 days.

@TheGCSEMathsTutor 2 года назад

Absolutely!!! I really like this method 😁🙏🏼

@sharvaaniramkissoon1720 2 года назад

@@TheGCSEMathsTutor thank you 😊

@jemimat637 2 года назад

You’re fantastic at what you do keep it up and thank you

@TheGCSEMathsTutor 2 года назад

Thank you so much! Really appreciate the kind words 😁🙏🏼

@glebkachur8033 2 года назад

8m do 1 job in 5 days 8m do 1/5 jobs in 1 day 1m does 1/40 jobs in 1 day In 2 days, 4m do 1*2*4/40 jobs =1/5 jobs So 4/5 job left. 8m will do 4/5 jobs in 4*1=4 days, therefore total time =2+4=6

@sebastianleonte8841 2 года назад

Sir, could you do a video covering a pressure question in the same style as this video.

@TheGCSEMathsTutor 2 года назад

Check out my next scheduled video for tomorrow morning 😁🙏🏼

@darthsidious9270 2 года назад

I mean only bc this problem was simple i just said there were 40 bottles done in 5 days by 8 machines .So 1 bottle per machine per day and then that was it

@aminakamil6491 2 года назад

is there no way you could use the x = ky or the usual way?

@stezb6379 2 года назад

^^^^

@yourlocalpostman 2 года назад

yeah you can but you need to be wary of the new variable introduced which is the number of days. Here's the way I worked it out using the conventional a = k/b (inverse proportion equation) : 8 = k/5 k = 40 2 = k/4 ---> remember 2 here = number of days k = 8 k is now = 40 - 8 = 32 8 = 32/x --> where x = number of days 8x = 32 x = 4 4 + 2 = 6

@river7252 2 года назад

@@yourlocalpostman this makes sm sense ty😭

@yourlocalpostman 2 года назад

@@river7252 np man glad I could help

@aminakamil6491 2 года назад

@@yourlocalpostman i dont get it😭

@artemisa1379 2 года назад

we know that 8 machines in the factory could make all the bottles in 5 days so 100%-----------> 5 days 1 day------------> 100%/5------> 20% with 8 machines 1 machine work at the rate-------> 20%/8-----> 2.5% per day day 1---------> 4 machines are used to make the bottles-----> 4*2.5%---> 10% day 2--------> 4 machines are used to make the bottles-----> 4*2.5%---> 10% day 3-------->8 machines are used to make the bottles-----> 8*2.5%---> 20% day 4-------->8 machines are used to make the bottles-----> 8*2.5%---> 20% day 5-------->8 machines are used to make the bottles-----> 8*2.5%---> 20% day 6-------->8 machines are used to make the bottles-----> 8*2.5%---> 20% total work in 6 days=[10+10+20+20+20+20]------> 100% the answer is 6 days this is also another method

@TheGCSEMathsTutor 2 года назад

Amazing!! Love this 😁🙏🏼

@hamdih2004 2 года назад

Is this going to be on the paper 2 aqa higher?

@stezb6379 2 года назад

he doesnt know

@mrsjames7544 2 года назад

Which exam board is this specific to please?

@TheGCSEMathsTutor 2 года назад

Check your exam boards topic list (you can download them in the description!) every topic is targeted to all the exam boards but this year there are different topics that we know are on different exam boards! This particular video is targeted to Edexcel paper 2 😁🙏🏼

@MegaBanannaman 2 года назад

Hey everyone- If this is inverse proportion can we somehow use A=K/B ? I find algebraic inverse easy which is apparently grade 7 but then I find this extremely difficult and its classed as grade 4!

@yourlocalpostman 2 года назад

@layer1087 2 года назад

A question.... could u solve this algebraically?

@layer1087 2 года назад

Nvm I did it algebraically

@urrnothim 2 года назад

@@layer1087 did u use y=k/X? if so, can i ask how

@_.x3no._ 2 года назад

@@urrnothim Start off by subbing the values so 8=k/5 which gives 40 as k. Then just follow the rest as shown in the video. That's how I did it :)

@adnanhossain2170 2 года назад

@@_.x3no._ Ayy same!

@_.x3no._ 2 года назад

@@adnanhossain2170 Respect for the late night revision bro. 😁

@abifryer7521 2 года назад

I don't really understand-why did you divide and add at the end?

@wqerfdwsqfqwe7662 2 года назад

8 (machine) x 5 (days) = 40 (Bottles) 4 (machine) x 2 (days) = 8 (Bottles) 40 (Bottles) - 8 (Bottles) leaves 32 (Bottles) We now know that all 8 machine's are working, therefore we can use the 8 machine's to get to 32. 8x?=32 32 is divisible by 8 4 times. 8x4=32 2+4=6 Therefore 6 (days)

@fortniteu34 2 года назад

@@wqerfdwsqfqwe7662 BUT HOW DO YK four machines make 8 bottles

@DadgeCity 2 года назад

Trouble is, it took me a few seconds to see the answer. I'd have to take a few minutes to invent some working-out for the rest of the marks.

@yourlocalpostman 2 года назад

If you know the equation for inverse proportion (a = k/b) then you can answer this question as follows: 8 = k/5 k = 40 2 = k/4 ---> remember 2 here = number of days k = 8 k is now = 40 - 8 = 32 8 = 32/x --> where x = number of days 8x = 32 x = 4 4 + 2 = 6

@infinityvald 2 года назад

Is this Higher paper or Foundation paper?

@GCSEALevelMaths2025 2 года назад

I wanna say higher tier!! I saw a question like this in an aqa prediction!! It was pretty nasty!! Dead hard question!!

@infinityvald 2 года назад

@@GCSEALevelMaths2025 what's the difference between Aqa and Edexcel?

@abuzarl8657 2 года назад

@@infinityvald Edexcel is harder

@GCSEALevelMaths2025 2 года назад

@@infinityvald its very very little difference, the way exam questions are presented are slightly different and written differently but as a whole its just different exam boards rewriting the same questions but in a different form that's all.