ALevel Mathematics
lucagupta.com/maths
Mayfield Grammar School
Hello and welcome to this revision page on Luca's site for all other Mayfield Grammar School sixth formers studying ALevel Mathematics. This page has most of the content for the qualification in note format which has been gathered in class, from Wills library's books or from other sites on the internet.
All key terminology is in green, advanced vocabulary is in blue and links are in purple.
If any information on this page is incorrect please approach me in the common room or email me at 18GuptaL@mgsg.kent.sch.uk
About the ALevel
Here at Mayfield Grammar School, Edexcel is the selected exam board for ALevel Mathematics which requires pupils to study Pure Maths, Statistics & Mechanics and is examined in three papers taken in May and June.
The ALevel's Content:
• Pure Maths
• Statistics
• Mechanics
Qualification Aims & Objectives
The aims and objectives of this qualification are to enable students to:
● understand mathematics and mathematical processes in a way that promotes confidence, fosters enjoyment and provides a strong foundation for progress to further study
● extend their range of mathematical skills and techniques
● understand coherence and progression in mathematics and how different areas of mathematics are connected
● apply mathematics in other fields of study and be aware of the relevance of mathematics to the world of work and to situations in society in general
● use their mathematical knowledge to make logical and reasoned decisions in solving problems both within pure mathematics and in a variety of contexts, and communicate the mathematical rationale for these decisions clearly
● reason logically and recognise incorrect reasoning
● generalise mathematically
● construct mathematical proofs
● use their mathematical skills and techniques to solve challenging problems that require them to decide on the solution strategy
● recognise when mathematics can be used to analyse and solve a problem in context
● represent situations mathematically and understand the relationship between problems in context and mathematical models that may be applied to solve them
● draw diagrams and sketch graphs to help explore mathematical situations and interpret solutions
● make deductions and inferences and draw conclusions by using mathematical reasoning
● interpret solutions and communicate their interpretation effectively in the context of the problem
● read and comprehend mathematical arguments, including justifications of methods and formulae, and communicate their understanding
● read and comprehend articles concerning applications of mathematics and communicate their understanding
● use technology such as calculators and computers effectively and recognise when their use may be inappropriate
● take increasing responsibility for their own learning and the evaluation of their own mathematical development.
Content
Here are all the content and their notecode. Click on your desired paper or topic that's listed below which will redirect you to all the lessons and notes written about the subject.
Pure Maths

A. Proof

B. Algebra and Functions

C. Coordinate Geometry in the (x, y) Plane

D. Sequences and Series

E. Trigonometry

F. Exponentials and Logarithms

G. Differentiation

H. Integration

I. Numerical Methods

J. Vectors
Statistics

K. Statistical Sampling

L. Data Presentation and Interpretation

M. Probability

N. Statistical Distributions

O. Statistical Hypothesis Testing
Mechanics

P. Quantities and Units in Mechanics

Q. Kinematics

R. Forces and Newton's Laws

S. Moments
Pure Maths
There are two compulsory papers for this component: Pure Mathematics.
Pure Mathematics
Pure maths is the branch of mathematics most concerned with mathematical concepts. It is the most abstract area of mathematics, but it still has many areas which are applicable in everyday life.
There are ten content areas in Pure Maths:
A. Proof
B. Algebra and Functions
C. Coordinate Geometry in the (x, y) plane
D. Sequences and Series
E. Trigonometry
F. Exponentials and Logarithms
G. Differentiation
H. Integration
I. Numerical Methods
J. Vectors
Skills
• If you're still alive and studying ALevel Maths, the skill you have learnt is resilience and perseverance as you still put yourself through this subject every day without topping yourself
Paper 1
Written examination: 2 hours
33.3% of the qualification
100 marks
Assessment overview
The paper may contain questions on any topics from the Pure Mathematics content and students must answer all questions. Calculators can be used in the assessment.
Paper 2
Written examination: 2 hours
33.3% of the qualification
100 marks
Assessment overview
The paper may contain questions on any topics from the Pure Mathematics content and students must answer all questions. Calculators can be used in the assessment.
A. Proof
A01  Current Systems of Representative Democracy and Direct Democracy

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A02  A Wider Franchise and Debates Over Suffrage

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A03  Pressure Groups & Other Influences

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A04  Rights in Context

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B. Alegbra and Functions
B01  Current Systems of Representative Democracy and Direct Democracy

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B02  A Wider Franchise and Debates Over Suffrage

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C. Coordinate Geometry in the (x, y) Plane
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Statistics
There are two sections within this component with Section A being Statistics.
Statistics
Statistics is the science of interpreting data, influencing and governing our daily lives. They are used to predict the weather, determine the effectiveness of medicine and are an important process in making scientific breakthroughs.
There are five content areas in Statistics:
K. Statistical Sampling
L. Data Presentation and Interpretation
M. Probability
N. Statistical Distributions
O. Statistical Hypothesis Testing
Skills
• You'll learn the skill of working out the statistics of how screwed you are in the exams
Paper 3
Written examination: 2 hours
33.3% of the qualification
100 marks
Assessment overview
Section A: Statistics
The paper will contain questions on topics from the Statistics content in Section A and students must answer all questions. Calculators can be used in the assessment.
Section B: Mechanics
The paper will also contain questions on topics from the Mechanics content in Section B and students must answer all questions. Calculators can be used in the assessment.
K. Statistical Sampling
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L. Data Presentation and Interpretation
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Mechanics
There are two sections within this component with Section B being Mechanics.
Mechanics
Mechanics is the area of study in physics and mathematics that examines how forces affect a body and its motion. It deals with the movement of physical objects and the relationship between force, mass, and motion. So mechanics studies stationary objects, where the forces acting over them are in equilibrium.
There are four content areas in Statistics:
P. Quantities and Units in Mechanics
Q. Kinematics
R. Forces and Newton's Laws
S. Moments
Skills
• The skill obtained from Mechanics will be the art of questioning everything and thinking about how Physics is a load of BS
Paper 3
Written examination: 2 hours
33.3% of the qualification
100 marks
Assessment overview
Section A: Statistics
The paper will contain questions on topics from the Statistics content in Section A and students must answer all questions. Calculators can be used in the assessment.
Section B: Mechanics
The paper will also contain questions on topics from the Mechanics content in Section B and students must answer all questions. Calculators can be used in the assessment.
P. Quantities and Units in Mechanics
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Q. Kinematics
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