GCSE Maths AQA Practice Paper Set 1 - Higher Tier - Paper 3 - Walkthrough with Full Solutions (*)

[@treehousea971]

How did Adam win in question 11 mean time question if he had 9.67 and others had higher times than him?

[@MrTompkins]

Because the winner of the race is the one with the fastest, ie smallest, time. 9.67 is the smallest in the list and therefore Adam must have won the race. This is a VERY COMMON mistake by students in tests! If you did the November 2023 papers for your mock, you might remember there was a box plot of running times and you were expected to find the fastest time. About a third of my top set maths class picked the right hand (highest) value as their answer! >.

[@winkfish]

Thank you sir 😳 Nice to see you still reply......going to subscribe bcos of that!

[@MrTompkins]

I try to respond to every comment - it can be a lot, but I think it's worth the effort! Thanks for the sub!

[@vivekprajapati76]

hello, I have a doubt, and doubt is on the question 7(b) it ask for a odd number and 12 is not an odd number but you have used 12.

[@MrTompkins]

Hey Vivek - 12 is the number of times that 3 came up, and 3 is an odd number! Best of luck on your last paper!

[@transitvandoors]

Another great lesson. Watched and liked.

[@MrTompkins]

Thanks for supporting!

[@dis9323]

52:03 why is the multiplier 1.025 ?

[@MrTompkins]

When doing any percentage increase (including compound interest), you start with 100% and then add your increase to it. Here the interest rate is 2.5%, so our original 100% + 2.5% = 102.5%, which written as a decimal gives the multiplier 1.025. Does that make sense?

[@dis9323]

ah yeah thank you!

[@alexcaldicott8811]

Just subbed. Great video

[@MrTompkins]

Welcome along TheRealAlex 23! Its a great time to subscribe, as I'm planning to get the June 2018 paper series out very soon!

[@alexcaldicott8811]

I am only in year 9 but i love maths

[@MrTompkins]

Hey - I love maths too!

[@AlfredoL1]

Great work watched liked full

[@MrTompkins]

Thanks for the positive feedback Alfredo!

[@wav3y_ta565]

Amazing vid helped a lot

[@MrTompkins]

Thanks for the feedback! There are plenty more to go through, and its a great way to prepare for your exams. Try to go through them all!

[@SanaKhan-wf4ec]

Keep up the great work!

[@MrTompkins]

Thanks Sana! I'm super happy right now as I've just noticed I reached 1000 subscribers today! Yay!

[@SanaKhan-wf4ec]

What if I make that 999? Only joking haha, your maths videos are the best on yt! Someone told me you were doing June 2017 papers, the specimen papers for paper 2 and 3 and even the November papers. (Nah, that's only my wishful thinking). Jokes aside, you're really helping all of us out and I hope more students discover this channel!

[@MrTompkins]

Noooo! Dont make me go back to 3 digits! KZbin is a great example of an exponential function in action, and it feels like I've been bumping along the long flat part for quite a while. Reaching this milestone feels pretty awwsome :-)

[@HangWithTheBangs]

thats awesome you enjoy math!

[@MrTompkins]

Yup - ❤️ the maths!

[@HangWithTheBangs]

:) Have a fun week!

[@nehamohan5594]

hi sir sometimes I get confused with idientities because I don't know which terms to put together like 2x^2 = a^2 meaning 2 = a but do we just read the coeffient and compare because the value of x is not compared so I'm confused and then the minus sign disappeared from 20

[@MrTompkins]

Neha Mohan we compare like with like. If they are identical, each term must match up exactly, so the 2x^2 term must match exactly with the ax^2 term, which means a=2. You can do the same thing with the term in x and the constant.

[@nehamohan5594]

hi Mr Tompkins is the identity for question 26) -b squared because of the minus in the bracket also thankyou for another great video

[@MrTompkins]

Hey Neha! When multiplying out a - b)(a - b) , the b squared term is positive. It comes from multiplying -b x -b, and a negative times a negative is positive. Good luck in your studies 😀

[@CucaPatada]

Great lesson!

[@MrTompkins]

Thanks for that!

[@admmm_]

Thanks a lot, i got 89% correct

[@MrTompkins]

That should be a comfortable grade 9! I hope you perform that well in June! Make sure you do all the past papers so that you dont get any nasty surprises. ;-)

[@admmm_]

Oh really wow!! Yep watched tonnes of your videos, thank you for the content!

like 4 Saludos Mr Tompkins Ed Tech

[@MrTompkins]

Thanks Raul!

[@jfishy247]

thankyou

[@MrTompkins]

You're welcome!

[@Vik-rs5sz]

10 c would be negative 6 and 2?

[@MrTompkins]

The roots are where the curve cuts the x-axis., so -2 and 6.

[@Vik-rs5sz]

Mr Tompkins EdTech ohhhh I see thank you very much and if you have any available time are you able to explain vaguely how to do q26 I spent much time attempting to understand it however I haven’t studied it yet but I’m very sure i could easily understand it with little guidance

[@MrTompkins]

Q26 - Function notation is simply another way of writing equations linking y and x. So rather than writing y = 2x +3, you write f(x)=2x+3 instead. If I have a second equation, eg y = 6 - 3x, I can use another letter to represent that function, so g(x) = 6 - 3x. Some common things asked in exams are to find things like fg(x), which is a composite function. Basically, you take a value of x, and input it into the first function, take the output and feed it into the second function. Think about chaining 2 function machines together and you get the idea. To find fg(x) you need to find the algebraic equation that takes you all the way through. f-1(x) is the inverse function. Again, think about function machines and working backwards from the output back to the input by using inverse operations.

[@Vik-rs5sz]

Mr Tompkins EdTech thanks you so much this gave me a miles better understanding very appreciated thanks for giving your time

[@ImranKhan-kz9qo]

for question 25 the upper bound for 160 is 165 wouldn’t that round to 170 though ?

[@MrTompkins]

Technically yes, but regardless it is still the boundary. When dealing with continuous quantities such as distance, speed or time, then 164.9999999999 is pretty much the same number as 165, so you might as well use 165 in your calculations.

[@ImranKhan-kz9qo]

Mr Tompkins EdTech thanks

[@felixserra6242]

thx ur saving me XD

[@MrTompkins]

Glad to have helped! I've just started on a new series of topic tests you might also like: kzbin.info/aero/PLxp90x5c0ttZJlDrO4TLdtyp-uwzp7xHw

[@felixserra6242]

@@MrTompkins Thank you !

[@mcdonaldshappymeal8944]

Mr Tompkins is a qualified teacher with 20+ years classroom experience. BSc (Hons) Mathematics, Post Graduate Certificate in Education, Certified Apple Teacher, Microsoft Certified Educator, and Microsoft Innovative Educator Expert. MrTompkinsEdTech is a participant in the Amazon Services LLC Associates Program, an affiliate advertising program

[@shamailasahraouei2942]

I got 71out of 80

[@MrTompkins]

That's a big improvement! Well done Shamaila!

[@AileeneYusuf]

I hate math lol

[@MrTompkins]

Maybe this video helps you learn to love it! ;-)

[@shamailasahraouei2942]

How old are u