Everything You Need to Pass Your A Level Maths Exam! | Pure Maths Revision | Year 1 |Edexcel AQA OCR

A video revising the techniques and strategies for all of the topics that you need to achieve a grade A in AS Pure Mathematics.

These topics are all of the essential topics that appear on the AS Pure Maths curriculum. This however is not ALL of the question styles within the A Level. Further videos can be found on the channel for a more in depth look at some of these topics.

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🚨 Timestamps🚨

00:00 What topics are covered?
01:09 How to use the video
02:27 Intro
02:45 Expanding Brackets
04:55 Simplifying Algebraic Fractions
07:17 Factorising Quadratics
09:02 Index laws
11:47 Harder Index laws
16:04 Surds
18:45 Rationalising the Denominator
20:42 Solving Quadratics
22:31 The Quadratic Formula
25:37 Completing the Square
28:45 Solving Equations by Completing the Square
32:05 Negative Quadratics
37:20 The Discriminant Explained
42:19 Solving Problems with the Discriminant
48:47 Modelling with Quadratics
57:19 Linear Simultaneous Equations
59:39 Quadratic Simultaneous Equations with a Circle Meets a Line
01:06:06 Quadratic Simultaneous Equations with a Curve Meets a Line
01:11:08 Graphical Simultaneous Equations
01:20:31 Linear Inequalities using Set Notation
01:28:24 Quadratic Inequalities
01:31:02 Regions
01:35:35 Sketching Cubic Graphs
01:38:15 Sketching Quartic Graphs
01:41:27 Reciprocal Graphs and Asymptotes
01:45:22 Intersecting Graphs Problems
01:53:34 Using Desmos Graphing Calculator
01:55:13 Graph Transformations Explained
01:59:42 Translating Functions
02:04:16 Equation of a Line
02:06:16 Perpendicular Lines
02:08:27 Area with Coordinate Geometry
02:13:48 Modelling with Linear Graphs
02:19:02 Midpoints and Perpendicular Bisectors
02:23:13 Equation of a Circle
02:25:25 Equation of a Circle to Find the Centre
02:32:44 Intersections of Linear Graphs and Circles
02:36:16 Tangents to a Circle
02:39:53 Chord Properties
02:43:31 Algebraic Fractions
02:44:51 The Factor Theorem
02:49:12 Methods of Proof with Inequalities
02:52:39 Methods of Algebraic Proof
02:58:13 Binomial Expansion Explained
03:07:38 The Binomial Expansion
03:12:47 Solving Binomial Problems
03:17:25 Binomial Estimation
03:24:17 The Cosine Rule
03:28:39 The Sine Rule
03:33:41 Areas of Triangles
03:36:08 Solving Triangle Problems with Bearings
03:44:58 Transforming Trigonometric Graphs
03:48:04 Graphs of Sine, Cosine and Tangent
03:55:12 Exact Values of Trigonometric Ratios
03:56:18 Trigonometric Identities
03:58:28 Trigonometric Equations
04:04:39 Equations and Identities
04:14:22 Harder Trigonometric Equations
04:27:49 Vectors
04:32:18 Representing Vectors
04:35:56 Magnitude and Direction of Vectors
04:40:10 Position Vectors
04:50:04 Solving Geometric Problems
04:57:15 Modelling with Vectors
05:10:53 Differentiation Explained
05:13:19 Differentiation from First Principles
05:15:59 Differentiating Quadratics
05:17:08 Harder Differentiation
05:19:43 Gradients of Tangents and Normals
05:22:34 Increasing and Decreasing Functions
05:24:54 Second Order Derivatives
05:25:34 Stationary Points
05:31:39 Modelling with Differentiation
05:41:20 Integration Explained
05:45:08 Indefinite Integrals
05:47:29 Finding Functions by Integrating
05:52:55 Definite Integrals
05:56:09 Areas Under Curves
06:00:40 Areas Under the x-axis
06:08:17 Areas Between Curves and Lines
06:14:08 Logarithms Explained
06:17:27 Laws of Logarithms
06:19:30 Solving Simple Equations Using Logarithms
06:21:10 Laws of Logs (Adding)
06:25:53 Laws of Logs (Subtracting)
06:30:02 Laws of Logs (Multiplying)
06:34:36 Solving Harder Logarithmic Equations
06:39:21 Exponential Functions
06:41:29 Differentiating e^x
06:42:35 Solving Exponential Equations using Natural Logarithms
06:44:17 Solving Exponential Quadratics with Natural Logarithms
06:46:39 Modelling with Exponentials
06:54:49 Well done, Please Like, Comment and Subscribe
06:54:49 Outro

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Disclaimer: It would be impossible to cover every single topic in the maths curriculum in this timeframe, the topics chosen here are the fundamental topics that I work on with my own students studying for the AS Pure exam. You should always conduct your own subject analysis using your revision guides and teachers to ensure that you cover any aspects of topics not mentioned in this particular video.

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[TheGCSEMathsTutor]

Small correction! At 25:30 the negative solution should be -0.941 I must have pressed the wrong button whilst recording! 🤦🏽🤦🏽

Also at 1:38:15 the quartic equation should read as x(3-x)(x^2+4x+4) I must have typed a 2x by accident! Sorry 😬

[TheGCSEMathsTutor]

It's finally here! 50+ hours of work has gone into this! 8 days of recording, editing and exporting/uploading content to create the most complete AS Pure maths video out there! Hope you all enjoy it! 😁

[bibleisdad]

From GCSE to A-level you have been a massive help, a boost in confidence and an amazing tutor. Thank you so much for taking time out of your life to make things easier for us.

[mohamedmumin]

This couldn’t have come at a better time Thank you so much as I am going to do AS Pure Mathematics exam in May 2022 Wish me luck I am currently revising and this was very helpful Love from Kenya

[tonkzs]

Achieved a grade A in my AS exam at the end of Year 12 - many thanks for all of your videos

[wolowizard]

Thank you so much for doing this. Back in 2010 when i was doing my GCSEs there were no videos on Yotube helping with maths or science. When I retook my GCSES in 2019 and alevels in 2020, I’ve got myself into Bristol Uni studying Physics with Astrophysics 😁 Your videos help immensely!

[footballfreestyle]

Great video. Currently in year 12 and got a big topic test in a couple of weeks so thanks for this. I watched a lot of your gcse tutorials and they were quality. Keep up the good work!!!

[technologicgirlomg]

Oh my- This is the best math video ever! It's insanely helpful to revise! Im currently in year 12 doing AS and during the summer I will 100% watch the whole thing to refresh my mind for A levels! Thank you SO MUCH!!

[tigress]

You are the best! Saving everybody’s exams for free - what a kind-hearted person, genuinely super grateful to you, thanks :)

[jameschester]

This is legendary! Literally can’t wait for this, I’ll leave another comment once I’ve finished it all today 🔥🔥🔥

[Mochi-hzou]

I have been watching ur videos since I was in y10 and I got a 8 at gcse thanks to you, now I’m doing Alevel maths and I’m sure I will pass thanks to you again !!!! I really appreciate ur work thanks !🥺🥺🥺

[Aisha-gddq]

I’m in year 9 I have no idea why I’m watching this but hopefully when I get an A* for my gcses I will proceed with A level math if not then I’d leave it since I’m not smart enough 😭😭

[jameschester]

Students: “There isn’t a good enough video covering all of the AS maths content and we’re at such a disadvantage after lockdowns…”

TGMT: “Somebody hold my coffee…”

[nathanhawey]

Welcome legend!Have been waiting this for so long.

[alitoto]

Actually thank you so much. you are the only one who have done this for AS, no one else has. i was really waiting for a vid like that and here it is thank u so much for all of the good work. God bless u

[haseebawan]

This has been insanely helpful, thank you so much. Will you ever make a lengthy video like this for Mechanics, Stats, 2nd year Pure?

[ofnbsn]

doing a resit year at the moment
anyone coming here after doing gces prepare for a level, especially if you have 2 or more very difficult subjects
summer hols is the best time to get ahead

[yusufkarim]

Absolutely Insane video. Watched ur vids for GCSE maths and am now studying maths and fm for a level. I thought I would have to make do without ur vids for a levels, but I was wrong. Thanks so much and keep up the good content!!

[neemangaari]

THANK YOUUU, this video is so well organised and explained, , I've been using your channel since yr10 and now I'm in AS level in Kenya and you are still my saving grace. Thank youuuu, ,

[Elliecht]

These videos are great, sitting my AS in the summer and these have helped massively in my class mocks. for anyone looking for stats and mechanics videos id suggest bicen maths he does a great job at explaining it