Overview

TODO

Worksheets & Past Paper Tracker

• 12/02/25 GCSE Paper
• 12/02/25 Quadratic Inequalities
• 12/02/25 Changing the Subject (Advanced)
• 12/02/25 Simultaneous Equations
• 12/02/25 Expanding two Brackets
• 22/02/25 Completing the Square
• 24/02/25 GCSE Paper Edexcel (Paper 2) Thursday 4 June 2020
• 27/02/25 Algebraic fractions worksheet
• 02/03/25 Non-linear and linear simultaneous equations worksheet
• 03/03/25 GCSE Paper Edexcel (Paper 3) Monday 8 June 2020
• 21/07/25 AS paper pure maths paper 1
• 28/07/25 AS paper stats and mechanics paper 2

Sessions with Kingsley

1. 10/02/25 - Session 1
   1. GCSE past paper
   2. Open up the types of things I need to learn
   3. Setting A-level as the objective
   4. Ditching parts of GCSE that are not useful further on
2. 17/02/25 - Session 2
   1. Started at 5:45 instead this week
   2. Going through some key elements of algebra
   3. Worksheets
3. 24/02/25 - Session 3
   1. GCSE Past paper
4. 03/03/25 - Session 4
   1. GCSE Past paper
   2. I will bring up the coefficient of the exponent
5. 10/03/25 - Session 5
   1. Quadratic Nth terms
   2. Assignment
6. 24/03/25 - Session 6
   1. Going through the assignment number 1
7. 31/03/25 - Session 7
   1. Going through the assignment number 2 and a small bit of 3
8. 07/04/25 - Session 8
   1. Going through the assignment number 3 and 5
9. 14/04/25 - Session 9
   1. Going through the assignment number 5
10. 21/04/25 - Session 10
11. Going through the assignment number 5
12. 12/05/25 - Session 11
13. Going through the assignment number 7
14. 19/05/25 - Session 12
15. Algebraic methods & (derivatives) all in the pearson pure maths book
16. 26/05/25 - Session 13
17. Binomial Expansion and Trigonometry

- Work for next week
  - Chapter 1 Algebraic Expressions
  - Chapter 9 Trig Ratios
  - Chapter 10 Trig Identities and Equations
  - Chapter 7.4 & 7.5 Proof

14. 02/06/25 - Session 14
15. 09/06/25 - Session 15
16. 23/06/25 - Session 16
17. 30/06/25 - Session 17
    • Area under a curve
18. 14/07/25 - Session 18
19. 21/07/25 - Session 19 - AS level paper 1, next session going over paper 2
20. 28/07/25 - Session 20 - AS level paper 2
    • Tasks for next session [x] - What maths do I need for computer science [x] - Book 1 topics to go over, find specific questions [x] - Look in my notebook at the questions which I couldn't answer [x] - Chapter 12 Mixed Questions Q 27a
    • Focus [x] - Finish the differentiation chapter EVERY OTHER QUESTION [x] - Work through Algebraic Expressions EVERY OTHER QUESTION [x] - Start working on Data collection in the stats and machanics book EVERY OTHER QUESTION
21. 11/08/25 - Session 21
    • Tasks for next session [x] - Finish Data Collection EVERY OTHER QUESTION [ ] - Finish Quadratics EVERY OTHER QUESTION [ ] - Start Integration EVERY OTHER QUESTION [ ] - Work on partial fractions EVERY OTHER QUESTION [ ] - Collect questions which are confusing
22. 18/08/25 - Session 22
    • paid [x]
    • Tasks for next session [ ] - Finish PM Book 2 Chapter 2 Functions and graphs [ ] - Finish PM Book 1 Chapter 2 Quadratics [ ] - Finish SM Book 1 Chapter 2 Measures of location and spread
23. 01/09/25 - Session 23
    • paid [x]
    • Questions to go over
      • Challenge page 32 pure maths book 1
    • Homework
      • FINISH pm b1 quadratics
    • Working list
      • PM Y2 - Ch.4. Binomial expansion [Year 2 lessons]
      • PM Y1 - Ch.3. Equations and inequalities [Year 1 revision]
      • PM Y2 - Ch.1. Algebraic Methods [Year 2 revision]
      • PM Y2 - Ch.3. Sequences and series [Year 2 lessons]
24. 09/09/25 - Session 24
    • Paid
    • Questions
      • Challenge page 32 pure maths book 1
      • Example 8b p.166
      • Q 5.a. p166 y1
    • Working list
      • PM Y1 - Ch.8. Binomial expansion
      • PM Y2 - Ch.4. Binomial expansion
      • PM Y1 - Ch.9. Trigonometric ratios
      • PM Y1 - Ch.10. Trigonometric identities and equations
      • PM Y2 - Ch.5. Radians
      • PM Y2 - Ch.6. Trigonometric functions
      • PM Y2 - Ch.1. 1.3 Partial fractions - find the chapter and revise
      • PM Y2 - Ch.1. 1.4 Repeated factors - find the chapter and revise
      • PM Y1 - Ch.3. Equations and inequalities
      • PM Y2 - Ch.1. Algebraic Methods
      • PM Y2 - Ch.3. Sequences and series
25. 16/09/25 - Session 25
    • Paid
    • Questions
    • Working List
      • Degrees to radians, learn how to do this on your calc
      • Buy a better calculator which does quadratics
      • CAST diagrams
      • PM Y2 - Ch.1. Algebraic fractions
      • PM Y1 - Ch.7. Dividing polynomial
      • PM Y1 - Ch.14. Exponentials and Logarithms
      • PM Y2 - Ch.4. Binomial expansion
      • PM Y1 - Ch.9. Trigonometric ratios
      • PM Y1 - Ch.10. Trigonometric identities and equations
      • PM Y1 - Ch.11. Vectors
      • PM Y2 - Ch.5. Radians
      • PM Y2 - Ch.6. Trigonometric functions
      • PM Y1 - Ch.3. Equations and inequalities
      • PM Y2 - Ch.1. Algebraic Methods
      • PM Y2 - Ch.3. Sequences and series
26. 29/09/25 - Session 26
    • Paid
    • Questions
      • y1 ch14 mixed exercises p335 q 13.c.
    • Homework
      • PM Y1 - Ch.14. Exponentials and Logarithms [x] - 30/09/25 - Up to 14.4 [x] - 02/10/25 - Up to 14.5
27. 07/10/25 - Session 27
    • Paid
    • Homework [x] - finish paper/go over the paper [ ] - do some mp1 questions on madasmaths.com [ ] - PM Y1 3. Equations and Inequalities
28. 27/10/25 - Session 28
    • Paid
    • Questions SEND AHEAD OF TIME
      • mp1_c paper from last lession Question 11 b.
    • Week
      • Monday: Lesson
      • Tuesday:
      • Wednesday: 1hr Lunch doing y1ch3 ex3e
      • Thursday:
      • Friday:
      • Saturday:
      • Sunday:
29. 03/11/25 - Session 29
    • Paid
    • Y1 CH3 Equations and Inequalities FINISH
    • Y2 CH READ AHEAD
    • Exam prep - Do the mp1_b exam https://madasmaths.com/archive_iygb_practice_papers_mp1_practice_papers.html
      • QUESTION FOR KINGSLEY: mp1_b question 3 https://madasmaths.com/archive/iygb_practice_papers/mp1_practice_papers/mp1_b_solutions.pdf
    • Y1 CH4 Graphs and transformations
30. 10/11/25 - Session 30
    • Paid
    • 4hrs Y2 CH10 Numerical Methods
31. 17/11/25 - Session 31
    • Paid
    • Questions:
      • Iteration: there are multiple ways to get a single x on the left and the rest on the right, is there a right way? I imagine some will converge quicker than others. So is there an optimum which is obviously recognizable.
      • Newton-Raphson method: 10C question 4.a. why does cos(x^2) then get translated into cos(x)^2 on the outside of cos in the answer?
32. 24/11/25 - Session 32
    • Paid
    • Rest of the questions
33. 10/12/25 - Session 33 This session was on Wednesday.
    • Paid
34. 15/12/25 - Session 34
    • Paid
    • Finish paper
35. 22/12/25 - Session 35
    • Paid
36. 05/01/25 - Session 36
    • Paid
    • Organize next lesson
37. 12/01/26 - Session 37
    • Paid
    • Order Stats and Mechanics Book 2
    • Moments
    • Chapter 12. Vectors
      • 12D Q5e - angle of the vector
    • Chapter 11. Up to 11.10
    • B2CH12 12C Question 8 - I kind of follow, not sure about why you are taking away the vectors

A-level Math (Pure Math Year 1 Pearson Book)

6/12 Chapters studied completely

• 1. Algebraic Expressions
  • Index Laws
  • Expanding Brackets
  • Factorizing
  • Negative and Fractional Indices
  • Rationalizing Denominators
  • Mixed exercises 1
• 2. Quadratics
  • Solving quadratic equations
  • Completing the square
  • Functions
  • Quadratic graphs
  • The discriminant
  • Modelling with quadratics
  • Mixed exercise 2
• 3. Equations and Inequalities
  • Linear simultaneous equations
  • Quadratic simultaneous equations
  • Simultaneous equations on graphs
  • Linear inequalities
  • Quadratic inequalities
  • Inequalities on graphs
  • Regions
  • Mixed exercises 3
• 4. Graphs and transformations
  • Cubiuc graphs
  • Quartic graphs
  • Reciprocal graphs
  • Points of interserction
  • Translating graphs
  • Stretching graphs
  • Transforming functions
  • Mixed exercise 4
• 5. Straight line graphs
• 6. Circles
• 7. Algebraic methods
  • Algebraic fractions
  • Dividing polynomials
  • The factor theorum
  • Mathematical proof
  • Methods of proof
• 8. The binomial expansion
  • Pascal's triangle
  • Factorial notation
  • The binomial expansion
  • Solving binomial problems
  • Binomial estimation
  • Mixed exercise 8
• 9. Trigonometric ratios
  • The Cosine Rule
  • The Sine Rule
• 10. Trigonometric identities and equations
  • Angles in all four quadrants
  • Exact values of trigonometric ratios
• 11. Vectors
• 12. Differentiation
  • Gradients of curves
  • Finding the derivative
  • Differentiating x^2
  • Differentiating quadratics
  • Differentiating functions with two or more terms
  • Gradients, tangents and normal
  • Increasing and decreasing functions
  • Second order derivatives
  • Stationary points
  • Sketching gradient functions
  • Modelling with differentiation
  • Mixed exercise
• 13. Integration
• 14. Exponentials and Logarithms
  • Exponential functions
  • y = e^x
  • Exponential modelling
  • Logaithms
  • Laws of logarithms
  • Solving equations using logarithms
  • Working with natural logarithms
  • Logarithms and non-linear data
  • Mixed exercise 14

A-level Math (Statistics and Mechanics Year 1 Pearson Book)

1/11 Chapters studied completely

Statistics

• 1. Data collection
  • Populations and samples
  • Sampling
  • Non-random sampling
  • Types of data
  • The large data set
  • Mixed Exercise 1
• 2. Measures of location and spread
  • Measures of central tendancy
  • Other measures of location
  • Measures of spread
  • Variance and standard deviation
  • Coding
  • Mixed Exercise 2
• 3. Representations of data
• 4. Correlation
• 5. Probablility
• 6. Statistical distributions
• 7. Hypothesis Testing

Mechanics

• 8. Modelling in mechanics
• 9. Constant accelleration
• 10. Forces and motion
• 11. Variable accelleration

A-level Math (Pure Math Year 2 Pearson Book)

2/12 Chapters studied completely

• 1. Algebraic methods
  • Proof by contradiction
  • Algebraic fractions
  • Partial fractions
  • Repeated fractions
  • Algebraic division
  • Mixed exercise 1
• 2. Functions and graphs
• 3. Sequences and series
• 4. Binomial expansion
  • Expanding (1 + x)^2
  • Expanding (a + bx)^2
  • Using partial fractions
  • Mixed exercise 4
• 5. Radians
• 6. Trigonometric functions
• 10. Numerical methods
  • Locating roots
  • Iteration
  • The Newton-Raphson method
  • Applications to modelling
  • Mixed exercise 10
• 11. Integration
  • Integrating standard functions
  • Integrating f(ax+b)
  • Using trigonometric identities
  • Reverse chain rule
  • Integrating by substitution
  • Integration by parts
  • Partial fractions
  • Finding areas
  • The trapezium rule
  • Solving differential equations
  • Modelling with differential equations
  • Mixed exercise 11
• 12. Vectors
  • 3D Coordinates
  • Vectors in 3D
  • Solving geometric problems
  • Application to mechanics
  • Mixed exercise 12

Past Papers Results

• June 2018 Paper 1: Non-Calculator (Higher) (QP)
  • 31/80
    • Wrong answers (areas):
      • [Easy questions SME] ratios
      • [Jippity Questions] long division
      • [work on failed questions] surds
      • converting surds to reciprocals
      • [Need to do more] circle theorums
      • Prove that the square of an odd number is always 1 more than a multiple of 4
      • proportional relationship
      • Factorise a^2-b^2
      • 15b simplify fully (x2 + 4) - (x^2-2)2
      • sine wave translations
      • straight line equations and perpendicular lines
      • quadratic inequalities
• June 2018 Paper 2: Calculator (Higher) (QP)
  • ?/80
  • Weaknesses

    - Timing on the questions
    - Tactics for answering questions
    - Wrong answers
      - Circles
      - Probability
    If you have a completed square with the coefficient a which is a negative, why does this change the signs of the turning point. −4(x−2)^2+26 => turning point is 2, 26pl

If you have a completed square with the coefficient a which is a negative, why does this change the signs of the turning point. −4(x−2)^2+26 => turning point is 2, 26pl

OLD

Process for Learning

• Watch a video on the topic
• Write up some notes
• Flash cards
  • Describe the topic
  • Define the keywords
  • What process or technique is used to solve the problem
  • Do 2 hard GCSE problems
  • Name or recite parts of the equation
  • Write the equation
• Kingsley worksheets

Study Session

1. Flashcards (20 mins)
2. Weak topic
3. New topic
4. Write up flashcards