Maths A Level • 2020 Pure Paper 2 (A2) • Edexcel • 📝
This exam walkthrough will show you how to do the questions from the exams that were originally intended to be sat in the summer of 2020. To learn the topics more deeply, explore the playlists on my homepage.
Grade Boundaries:
A* - 71
A - 54
B - 43
C - 33
D - 23
E - 12
Exam Paper: qualifications.pearson.com/co...
Mark Scheme: qualifications.pearson.com/co...
PDF of my solutions: drive.google.com/drive/folder...
0:00 Intro
0:50 Q1 Trapezium Rule
4:45 Q2 Vectors
6:45 Q3 Log Equations
9:06 Q4 Binomial Expansion
10:57 Q5 Equations with Exponentials
12:48 Q6 Algebraic Division, Integration
16:51 Q7 Differentiation, Iteration
28:07 Q8 Curve Problem - integration, factor theorem
31:44 Q9 Exponential Modelling
36:04 Q10 Addition Formulae, Trig Equations
42:23 Q11 Modulus Graphs
49:03 Q12 Parametric Integration
58:37 Q13 Differentiation, Range
1:06:08 Q14 Circles and Tangents
1:12:50 Q15 Geometric Series
1:17:23 Q16 Proof by Exhaustion
1:21:18 Outro
Пікірлер: 113
Thank you so much for taking time to go through this paper. My exam is tommorrow and this vid helps a lot 👍
i think this is the hardest year of papers p1 and p2
@humzino6630
25 күн бұрын
you must be joking
@tahmidhossan9757
22 күн бұрын
@@humzino6630 what would you say are the hardest?
@humzino6630
22 күн бұрын
@@tahmidhossan9757 not sure but I got 92 in this one when I usually get like 75 ish. Maybe it’s just suited me well. I haven’t done it but apparently paper 2 2019 is hard idk tho
@_NinjaMeloN
19 күн бұрын
@@humzino6630 2019 is aids
@Black_VoidXx
15 күн бұрын
@@humzino6630lord. I got 47/100 lmao
Finished maths this summer but still love your videos.
@BicenMaths
Жыл бұрын
Ahhh thank you! I hope you’re enjoying the next chapter of your life!
@aqa195
Ай бұрын
Are you crazy
@henryindia8195
28 күн бұрын
@@aqa195 😂
so helpful explained beautifully love u
Hi sir, at 1:06:59, is the general equation for a circle that 'touches the x axis and touches the y axis' always going to be (x - r)^2 + (y - r)^2 = r^2 (as long as its in the first quadrant? If so, you can adapt it to suit the other quadrants right? Thanks
@BicenMaths
Жыл бұрын
Yes, that's correct!
@wel_r
Жыл бұрын
@@BicenMaths thanks so much and for replying so quick. do u see this question possibly being assessed in a similar way this summer?
@BicenMaths
Жыл бұрын
I don’t expect something too similar to this - it feels very specific! They tend to mix it up a bit, but by doing this Q you’ve hopefully deepened your understanding of this topic! Good luck in the summer!
@wel_r
Жыл бұрын
@@BicenMaths thanks so much! gonna need it if the papers gonna be like this…😭
Hi Mr Bicen, I hope all is well. I would like to ask: I tend to get stuck on some questions due to the working. I look at obvious steps but think that they're wrong, but then find out that they're right (e.g. expanding brackets when it seems wrong). How do I stop this? Should I go with it and see how it goes always? Thanks.
@BicenMaths
Жыл бұрын
I would advise sticking with it and seeing how it goes, but monitoring it - if it feels like it strays too far from what you're aiming to do, or gets way to complicated, you'll need to return to the start and see if an alternative approach might have been better!
@eagle1341
Жыл бұрын
@@BicenMaths You are the best, thank you Sir!
im trying to find the method of quotient rule for q7 because thats what i was initially doing snd im getting it wrong but everyones doing indices way😭😭
@marissa4154
Жыл бұрын
same...
I’m in 13 currently, haven’t covered integration, iteration, vectors, differentiation and parametric equations so this paper looked absolutely horrible to me but I thought I was the only one, as this looks even worse than the 2021 papers
@BicenMaths
Жыл бұрын
These papers are all so tough! It’s about developing resilience and getting every mark you can - you do not need full marks to get top grades!
44:41 is that the method you always use when finding intersection of a line w a modulus graph? Trying to put LHS equal to RHS?
@BicenMaths
22 күн бұрын
Yes - and then you just check your answers by subbing in if necessary!
Hello, For the longest time now, I've had an issue with Q3) b) ii), because I'm convinced that the answer of x=8 not being a solution is actually incorrect! Using laws of logs, we can know we can square the value inside the brackets of a log equation, so shouldn't this mean the 2log(-4) we get, becomes log(16), and so making the solution of x=8 valid. Furthermore, when inputting this equation into Desmos to verify, their graphing software favours x=8 over x=1!
@BicenMaths
Жыл бұрын
BUT the equation says 2log(4-x), it doesn't say log(4-x)^2. So whilst they are equivalent, the original equation would not allow you to sub it in. That's what you should be checking.
@Leon_George
Жыл бұрын
@@BicenMaths Hello, thanks for replying! I'm going to sound a bit critical but I want to argue my point: in the past we have been required to be able to use these imaginaries values, there have been integration questions that require you to interact with ln(-x)-ln(-y) to get ln(X/y), which is real. This also doesn't resolve the fact that desmos allows x=8 as a valid solution? Also, why would mathematics stop us from squaring the value in the brackets?
@BicenMaths
Жыл бұрын
@@Leon_George I hear what you're saying! But for the given equation, a negative value wouldn't satisfy it. There are equivalent equations where it does satisfy. I get that it is frustrating, but it's how it would be assessed in the exam I'm afraid!
Hi Sir, for Q11 part a, I did a transformation to find what point P was. When doing the transformation, there is a scale factor of 2 and a +5 for the y values. Which one would you do first since the initial Y coordinate is 0. If you subtract 5 then multiply by 2 you get -10. If you multiply 2 by 0, then subtract 5 you get -5. In which order would you do this as they give different values.
@BicenMaths
Жыл бұрын
Works like BIDMAS! Multiplication before addition.
Hellooo where do you get the grade bounds for each specific paper? Tank you very much
@BicenMaths
Жыл бұрын
You can just google search for them! Or alternatively search on Pearson Edexcel’s website 👍🏼
@abzyx
Жыл бұрын
@@BicenMaths thank you, I hope god blesses you 🙏
Hello, in question 10, how did you obtain the -90 degree answer I seemed to miss it out and I don't understand how you worked it out. Thanks.
@BicenMaths
4 ай бұрын
I know that for cos equations, you always have the negative versions of the positive solutions, too. e.g. if you had x=30, -30 is also a solution. Another way of seeing this, is knowing that is 90 is a solution, then 360-90 is also a solution (standard result for cos is 360 - answer), which is 270. If I then do 270 - 360 (as it repeats every 360) then I get -90. Hope that helps!
@user-pb6pr8lt2p
4 ай бұрын
thank you@@BicenMaths
Hi Sir, For question 2 is there any indication whether the question is about 2D or 3D vectors ? When i first did the vectors i thought it was 3D until i searched up the answer
@BicenMaths
Жыл бұрын
It doesn't actually matter - the vector letters I've used could be any number of dimensions and it's true!
Regarding the method for the last proof question, will it work for all numbers? eg if it asked for multiples of 8 or 9. I can set k = to a multiple, 1 more , or one less
@BicenMaths
12 күн бұрын
You may need to adapt depending on the question - sometimes it is even/odd, sometimes this approach, potentially even 1 more, 2 more, 3 more, etc.
would you need to show workings out for when using graphics calc for modulus graphs?
@BicenMaths
14 күн бұрын
Nope, you could just draw it!
So for question 11b when it asks to "solve the equation" does that mean just find the x coordinate?
@BicenMaths
Жыл бұрын
Yes that's correct!
Hello sir, are we allowed to use the 1+no formula for these binomials also? 17:06 might be a coincidence or can you use it all the time Factorised out the a
@BicenMaths
24 күн бұрын
Yeah you can use that formula all the time as long as you factorise to get the 1!
Hi sir at 44:51 I understand that it doesn’t work with the positive version but the why are you allowed to use the negated version?
@BicenMaths
3 ай бұрын
Because modulus graphs take the negative parts and flip them upwards on a graph, so we can consider both the negated and non negated parts! If you go on Desmos and type the graph in, it might develop your understanding of it too :)
@user-qv6pk5ox9k
3 ай бұрын
Quality Teacher 💯 @@BicenMaths
Hi Mr Bicen, Hope you are well. For Q7 B) Why do you not find the second derivative as it is a minimum? What is the difference between a local minimum/ just a minimum - do you just differentiate once?
@BicenMaths
29 күн бұрын
Local minimum means it's the minimum in that area of the graph - it might get lower elsewhere.
legend
For question 7 is quotient rule a good method to use
@BicenMaths
Жыл бұрын
Not really - you should recognise that with a single term in the denominator it can all easily be simplified. You can try with quotient rule but it might take longer!
Hi Sir, Do you have a video on set notation in pure ?
@BicenMaths
Жыл бұрын
Not specifically!
For Q4 Binomial Expansion I actually ended up taking 'a' out of the bracket by setting the square. Its a longer method but i still got the same answer.
@BicenMaths
6 ай бұрын
Nice! Pleased it still worked out!
@TheOne-ek1if
Ай бұрын
i keep getting my answer as 1/3 and i dont know what im doing wrong
Hi Sir, for Q16 is it possible to do even/odd exhaustion using even=6a and odd=6a+1 ? I did that and got the answers it was looking for but not sure if that's a valid method (I know it's not on the mark scheme)
@BicenMaths
Жыл бұрын
The trouble with your method is that it doesn't cover all the numbers, it only covers those numbers which are a multiple of 6, and those which are one more than a multiple of 6, so it doesn't exhaust all the possible options! For example, 14 cannot be written in the form 6a or 6a+1, only 6a+2.
@bob820
18 күн бұрын
@@BicenMaths would it be possible to do the question with 2n and 2n+1 ?
@BicenMaths
14 күн бұрын
@@bob820 No, it wouldn't - try it and see what happens!
hi, on question 12 when u differentiated cost why didnt u add the negative sign?
@qal4real372
15 күн бұрын
my bad i should've continued watching😂
For 1:12:15 wouldn’t you have to complete the square (mark scheme gives a mark for it dM1)- I assumed you would be penalised just by using the calculator to solve it
@BicenMaths
2 ай бұрын
Not 100% sure on this one, usually best to do more algebra rather than less I suppose!
Teacher Is paper 2 harder than paper 1 and i did paper 1 this week i got 12 questions correct but the rest i couldn't do them because the time finish so i missed only 3 questions
@BicenMaths
Жыл бұрын
I expect Paper 2 this year to be harder than Paper 1 because of the remaining topics that haven't been assessed yet. But in general, there's no difference between the papers! Good luck!
for the last question, how do you know to use to use proof by exhaustion instead of testing even numbers and odd numbers?
@BicenMaths
24 күн бұрын
Testing even numbers and odd numbers is the same as proof by exhaustion! If it works for all evens, and for all odds, we've exhausted all the numbers, so have proven it :)
@laiilaaaaaaa
24 күн бұрын
@@BicenMaths but for this question it wouldnt be possible to solve with even and odd right?
@BicenMaths
24 күн бұрын
@@laiilaaaaaaa Oh yeah I'm sorry I didn't check the actual question haha. We can exhaust numbers by splitting them into different groups - the easiest is just odd and even, but we can also do it in this way, too!
@laiilaaaaaaa
23 күн бұрын
@@BicenMaths ohhh okay thank you so much!!
For 34:40 could you solve for t and explain that the value is negative?
@BicenMaths
3 ай бұрын
Yes, you could - I am not totally sure that this is accepted in a mark scheme, it would require an explanation with it to convince them I should imagine!
@michaelvanoss6393
3 ай бұрын
Nice one thanks@@BicenMaths
Hi, there is one thing I don't quite understand. For Q9, why these two different equation are both equal to 18??
@jimmyneutron9525
18 күн бұрын
Its the same equation he just wrote it again because e^0 is equal to 1
in 9a - would any working marks be lost by just using working out the simultaneous equation on the calculator
@lukesampson8181
Жыл бұрын
check ms
@BicenMaths
Жыл бұрын
If it says 'using algebra' then you would lose marks, but if not it should be fine. Check the MS though!
Question 5 where does the 2x on the right side go?
@BicenMaths
Жыл бұрын
It gets added to the other side, as there are -3 of them!
@dampmaky
Жыл бұрын
kuze !
@Xaverrrrr
Жыл бұрын
@@dampmaky KIRYUUUUU!!!!
i keep noticing in papers i get these quotient rule simplification questions wrong i guess i just gotta keep trying
@BicenMaths
25 күн бұрын
This is one of the most demanding algebraic skills in the entire A-Level!
The 2020 and 2021 papers are harder than others time.
@yun1666
Жыл бұрын
Lot of calculations , unusual questions mninium marks. When most of the exam were cancelled they expect people who really did the exam to do those.
@AyumiOTB
Жыл бұрын
@Anon what r u on 😂
@fatmabatmaz2
Жыл бұрын
@@yun1666 nah 2019 was hardest
@inkmaster4715
Жыл бұрын
@@AyumiOTB 2019 is by far the hardest pper2 from 2018-2022
1:18:55 so does one not count as a square number?
@BicenMaths
Жыл бұрын
Yes it does - not sure where I’ve contradicted this though?
@ys92legand24
Жыл бұрын
@@BicenMaths because surely 1 is not a multple of 3 or one more tthan a multiple of 3 ? unless 0 is a multiple of 3
@TK-mc5un
Жыл бұрын
@@ys92legand24 yeah that was my line of thought
@BicenMaths
Жыл бұрын
@@ys92legand24 0 is a multiple of 3, as 3 x 0 = 0
@ys92legand24
Жыл бұрын
@@BicenMaths ahh okay thanks Makes sense
Noice
nice teaching, next time is it ok if you could increase your microphone volume, thanks!
@ali24ssh58
Жыл бұрын
invest in a new laptop buddy
@akashif._1
Жыл бұрын
@@ali24ssh58 i literally have to put my volume to 70 to hear mr bicen whisper
@BicenMaths
Жыл бұрын
I have had trouble finding a mic that works with screen recording on my iPad since I upgraded to a new model. I’ve tried 3 (all have been quiet) and have got my 4th one on the way, so future videos (hopefully) will be louder! I know it can be frustrating. Also - there’s browser extensions that do volume boost too - check them out for Chrome/Edge.
@akashif._1
Жыл бұрын
@@BicenMaths ohh ok that makes sense, thank you!
Has anyone else incurred three batches of double 20 second unskippable ads over questions 14 and 15 alone
@BicenMaths
Жыл бұрын
Yes, it would!
for question 6 could you not do partial fractions?
@BicenMaths
Жыл бұрын
It’s the same method, but we wouldn’t call it partial fractions as there’s only one linear factor in the denominator rather than 2, so that’s why it’s called algebraic division instead.
this guy got 1a wrong he didn't close the bracket between the 0.8452 and the +2
@BicenMaths
Жыл бұрын
-pi/2 < t < pi/2 is the input range for the parameter (sort of like the domain of the parameter really!). But the domain of the whole function is the range of the x values - so although you’re finding a domain, you’re actually considering the range of the x function it has given you, given that t is between -pi/2 and pi/2. Hope that helps!