GCSE Maths AQA June 2018 Paper 3 Higher Tier Walkthrough

[@MrTompkins]

I release new papers to members first - tap JOIN for details: kzbin.infojoin Need a tutor? mr.tompkins.online/tutors Get all your AQA past papers, mark schemes and video walkthroughs in one handy place! - mr.tompkins.online/aqa Timestamps for mobile users: 0:00:00 - Intro 0:01:45 - Q 1 - Fraction to decimal conversion 0:02:32 - Q 2 - Inequality ranges 0:03:03 - Q 3 - Recurring decimals 0:03:40 - Q 4 - Exterior angles of a polygon 0:04:44 - Q 5 - HCFs and LCMs 0:08:46 - Q 6 - Similar shapes 0:10:26 - Q 7 - Percentage increase and compound interest 0:15:16 - Q 8 - Equations of parallel lines 0:19:42 - Q 9 - Reverse percentages 0:21:24 - Q10 - nth term with prime numbers 0:24:09 - Q11 - Operations with column vectors 0:27:44 - Q12 - Substituting into a Formula with Compound units 0:29:00 - Q13 - Properties of shape - rhombus 0:30:07 - Q14 - Plotting exponential curves 0:34:06 - Q15 - Forming algebraic expressions 0:34:48 - Q16 - Finding the coordinates of a point of intersection 0:36:05 - Q17 - Selection 0:40:37 - Q18 - Algebraic fractions 0:43:13 - Q19 - Finding intercepts of a linear graph 0:44:06 - Q20 - Pythagoras theorem with ratios 0:46:43 - Q21 - Proportion 0:49:46 - Q22 - Circle theorems 0:52:17 - Q23 - Iterative sequences 0:54:18 - Q24 - Estimating distance as area under a Speed-time graph 0:57:51 - Q25 - Pythagoras and trigonometry in 3D shapes 1:06:39 - Advertisement Break! 1:07:20 - Q26 - Histograms 1:13:00 - Q27 - Dependent probability 1:17:24 - Advertisement Break! 1:17:50 - Q28 - Finding the equation of a tangent of a circle 1:25:08 - Outro

[@davidhill8163]

any thanks for these videos, they are so helpful in improving my maths skills.

[@MrTompkins]

Glad you think so! There are lots more and I do recommend going though as many as you can before the exams.

[@juweiriahussain1397]

thank you for this video! However,i dont understand why you multiplied for question 17 method A instead of adding

[@MrTompkins]

In probability /selection, "or" generally means add, "and" means multiply. Here you need to pick an odd number AND a multiple of 11, hence multiply.

[@CamMathsTutor]

Fantastic explanation, keep up the great work!

[@MrTompkins]

Thanks a lot!

[@mocs76]

Hello Mr Tompkins! On question 27: 10/30 when we start, 9/31 for the first pick, 8/32 for the second pick I can understand. My question is for when "another disc is taken at random". Should we not proceed to this step? Should we not have 7/31 at this point? Thank you.

[@MrTompkins]

Hey Marco! I think you are 1 pick ahead of yourself here. The first pick occurs when there are 10/30 reds. The 2nd pick is when there are 9/31 reds,. The final "another disc is taken at random" is the 3rd selection - so it is when there are 8/32. If we played the same rules of adding two blues after the 3rd pick, then the 4th pick would have 7/33, and if not it would be 7/31 as you say. But we are only considering the first 3 picks, so we dont actually get this far!

[@mocs76]

@@MrTompkins Of course it is. I was actually 1 pick ahead . Thank you!

[@Alaia1420]

Hello Mr Tompkins Ques 17 why did you use number 9 If it is eoeo This should be Even no. 2,4,6,8=4 Odd no. 1,3,5,7=4 4×4×4×4=256

[@MrTompkins]

What's wrong with using 9? It is an odd number after all. I'm not sure why you think it wouldnt be one of the options...If you explain your thinking a little more, I might be able to help you further =)

[@alexplayz1037]

Great video, helped so much thanks alot

[@MrTompkins]

You're welcome Alex! Good luck with your exams.

[@gabrielasoares3202]

Do you know what is going to be the questions for the new paper for mocks next week? Aqa math higher , and what papers they gona use to base the questions , thank youu

[@MrTompkins]

Every school is doing their own thing, so unfortunately I can't help you with this. What have your teachers told you about it? Most schools will likely use one of the more recent paper sets though, or maybe they sample from more than one paper set.

[@gabrielasoares3202]

@@MrTompkins will they use 2020 paper or the 2019/2018 to base the questions ? My teachers said that they federation was creating a new set of papers based on what we learned, thank you for replying

[@gabrielasoares3202]

@@MrTompkins do you alsi have the 2019 walkthrough?

[@MrTompkins]

@@gabrielasoares3202 you can find them in the channel members area here: kzbin.infojoin

[@kadivkida]

question 23 - do the answers have to be in fraction form. i got the equivalent of the fractions you wrote, but in decimal form. would i still get the mark?

[@MrTompkins]

That's totally fine! Unless the question says otherwise, then you can use fractions or decimals as your answer.

[@kadivkida]

@@MrTompkins thanks. just gotten to the end of the video as we speak, it was very helpful.

[@nothanksthankyou6002]

just completed this paper to practice exam skills, is 40 marks ok?

[@MrTompkins]

If you got a similar grade on the other two papers, you'd be looking at a grade 6.

[@nothanksthankyou6002]

@@MrTompkins happy days

[@michaelbarker2243]

This is so brilliant, thanks so much.

[@MrTompkins]

You're very welcome! There are lots more of these, and I do recommend you work through as many as you can before the exams!

[@TalhaConh]

On minute 18:18 why did you specifically choose -5 I don't understand

[@MrTompkins]

Hey Talha - you can think of the equation of a line as the rule that links the x-coordinates to the y-coordinates. If you substitute a value of x into the equation, it will give you the corresponding y value. Here though, we are testing whether a particular point lies on the line or not. I do that by taking the x-coordinate from the point we are given(-5), subbing this into the equation and see if the y-coordinate matches the one we were given (-6). In fact, we get the value -8, so (-5.-6) cannot lie on the line. I then compare the point I was given (-5,-6) with the one I actually calculated, which was (-5,-8), and I could see this must lie above the line.

[@TalhaConh]

@@MrTompkins Thanks, you are the best maths teacher ever, not even my teacher could explain it that good 😁

[@spoop6803]

"fun times" 😂 yes, very much so

[@MrTompkins]

Fun times indeed! Good luck with your mocks =)

[@champagnemam]

in @1:09:26 i don’t understand how the middle bar is 6.6 x5

[@champagnemam]

@@ussai1796 😂😂😂😂😂😂😂😂

[@MrTompkins]

Are you two friends? Small world! Are you still stuck on this Andrea? We dont know the scale but we do know that the total is 480. So I counted the number of the squares along the y-axis for each of these bars and called it for example 5x for the first bar. I then worked out all the areas, which came out to be 120x. Comparing this with the total of 480 cars allowed me to work out that x must be 4. This means that the 5x on my first bar must actually be 5 x 4 = 20.

[@champagnemam]

@@MrTompkins thanks for this i got full marks for a question like this in my mocks 😁

[@MrTompkins]

@@champagnemam woohoo! Grats!

[@boxing3653]

Why did you delete your other walk through papers?

[@MrTompkins]

I had to unlist them due to a copyright claim from AQA. They objected to me showing their actual papers. I am in the process of re-editing all my walkthroughs so they no longer feature AQA's logo and papers. It's going to take a while, sorry!

[@MrTompkins]

if you click on the links within the video (either the end screen or the in-video cards, you might discover an old playlist or two that might help you... ;-)

[@boxing3653]

Mr Tompkins EdTech ok thanks. I just needed them because my teacher gave us so past papers to do during the holiday and I can’t find any walk throughs and usually I go to your channel

[@boxing3653]

Mr Tompkins EdTech and how long do you think will take because I would like to know what subjects are my strong and weak points

[@MrTompkins]

@@boxing3653 try this: kzbin.info/aero/PLxp90x5c0ttb-W-mdpSIoN3hUzephpjqk

[@Lovely30xa]

on question 17 it dosent say the number a which the even and odd go up to so are we just meant to assume

[@MrTompkins]

We do know what all the even and odd digits are though - Even digits are 2,4,6,8, and the odd digits are 1,3,5,7,9 (zero is excluded). The code needs to be in the form EOEO, so essentially we need to pick two even digits from our set of 4 even digits, and two odd digits from our set of 5 odd digits. Selecting our two even digits first, we have 4 choices for the first even digit and 4 choices for our second choice. That's 4x4=16 different possibilities. For the odd digits, I have 5 choices for the first odd digit and 5 choices for our second choice. That's 5x5=25 different possibilities. So altogether, that will be 16x25 = 400 different codes.

[@ToonOfLancing]

Q8a has y = 3 + 7 instead of 3x + 7

[@MrTompkins]

Thanks Howard! I should get you to proof read these for me before I publish! If it's just this one error, I think I might leave the video up and just add a card this time, giving the corrected equation.

[@ToonOfLancing]

@@MrTompkins I simply admire the effort you put into all this - Thank You.

[@MrTompkins]

@@ToonOfLancing having to re-edit them in this way feels like a bit too much effort, and so I am very pleased for your help spotting any slip-ups! But we are where we are, I suppose. To be perfectly honest, I didnt expect AQA to assert their copyright in the way they did. These videos are clearly beneficial to students sitting their exams and presumably paying them fees for the privilege. It's a big setback for my channel, but I either quit or just get on with it....

[@Bex2222]

why times 39:00

[@MrTompkins]

Consider if the first 2 digits were 31, then the last two could be 11, or 22, or 33 or ... or 99 - so 9 possible codes that start with 31. Now consider if we started with 33. Again 9 possible codes. So for each starting pair, there are 9 possible codes. Given there are 35 different starting pairs, there must be 35 x 9 possible codes altogether.