# A2 Mathematics

## Past mock examinations

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U6 Ma Mock Teacher X 18-19 U6 Ma Mock Teacher X 18-19 SOLUTIONS
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U6 Ma Mock Teacher Y 18-19 U6 Ma Mock Teacher Y 18-19 SOLUTIONS
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U6 Ma Mock Teacher X 19-20 U6 Ma Mock Teacher X 19-20 SOLUTIONS
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U6 Ma Mock Teacher Y 19-20 U6 Ma Mock Teacher Y 19-20 SOLUTIONS
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U6 Ma Mock Teacher X 21-22 U6 Ma Mock Teacher X 21-22 SOLUTIONS
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U6 Ma Mock Teacher Y 21-22 U6 Ma Mock Teacher Y 21-22 SOLUTIONS

### Teacher X (Mechanics)

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#### Topic X5: Numerical methods

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##### Lessons
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Locating Roots of Functions
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The Newton-Raphson Method
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Limitations of the Newton-Raphson Method
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Fixed-Point Iteration
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Limitations of Fixed-Point Iteration
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Upper and Lower Bounds of Integration
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Trapezium Rule
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##### Topic test preparation
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X5 (Pre-TT) Numerical methods X5 (Pre-TT) Numerical methods MS
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X5 (Post-TT) Numerical methods X5 (Post-TT) Numerical methods MS

#### Topic X6: Further differentiation

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##### Lessons
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Derivative of e^x and ln x
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Derivatives of Trigonometric Functions
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Integration of e^x and 1/x
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Integrals of Trigonometric Functions
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Chain Rule (brackets)
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Chain Rule (exp/ln)
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Chain Rule (trigonometry)
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Product Rule
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Quotient Rule
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Implicit Differentiation
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Differentiation of a^x
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##### Topic test preparation
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X6 (Pre-TT) Further differentiation
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X6 (Pre-TT) Further differentiation MS
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X6 (Post-TT) Further differentiation
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X6 (Post-TT) Further differentiation MS

#### Topic X7: Further calculus

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##### Lessons
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Integrals of the form f'(x)/f(x)
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Integrals involving Brackets
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Integrals leading to Exponentials and Logs
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Integrals involving Trigonometry
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Indefinite Integration by Substitution
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Definite Integration by Substitution
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Integration by Parts
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Repeated Integration by Parts
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Integrating sine squared and cos squared
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Integrating tan squared and cot squared
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Integrating sinxcosx
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Integration using Partial Fractions
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Points of Inflexion
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Parametric Equations
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Differentiating Parametric Equations
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Integrating Parametric Equations
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Related Rates of Change
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Areas between Curves
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Areas between Curves and the y-axis
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Differentiating Inverse Functions
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Introduction to Differential Equations
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Separable Differential Equations
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Modelling with Differential Equations
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##### Topic test preparation
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X7 (Pre-TT A) Further calculus X7 (Pre-TT A) Further calculus MS
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X7 (Pre-TT B) Further calculus X7 (Pre-TT B) Further calculus MS
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X7 (Pre-TT C) Further calculus X7 (Pre-TT C) Further calculus MS
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X7 (Post-TT A) Further calculus X7 (Post-TT A) Further calculus MS
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X7 (Post-TT B) Further calculus X7 (Post-TT B) Further calculus MS

#### Topic X8: Mechanics A2

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##### Lessons
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Describing Motion in 2-D
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SUVAT in Vector Form
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Calculus with Vectors
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Vectors in 3-D
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Solving Geometrical Problems
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Modelling Projectile Motion
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Range and Maximum Height
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Equation of the Trajectory
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Resolving Forces
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Coefficient of Friction
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Friction (horizontal plane) NOTES & QUESTIONS
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Motion on a Slope
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Friction (inclined plane) NOTES & QUESTIONS
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Further Equilibrium Problems
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Turning Effect of a Force
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Equilibrium
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Tilting_and_moment_of_angled_force
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Supported Beams
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##### Topic test preparation
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X8 (Pre-TT A) Mechanics A2 X8 (Pre-TT A) Mechanics A2 MS
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X8 (Pre-TT B) Mechanics A2 X8 (Pre-TT B) Mechanics A2 MS
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X8 (Post-TT A) Mechanics A2 X8 (Post-TT A) Mechanics A2 MS
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X8 (Post-TT B) Mechanics A2 X8 (Post-TT B) Mechanics A2 MS

### Revision

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Newton-Raphson EXTRA
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Newton-Raphson EXTRA MS
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Fixed-point interation EXTRA
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Fixed-point interation EXTRA MS
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Numerical integration EXTRA
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Numerical integration EXTRA MS
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Ladders and supported beams EXTRA 1 (QNS and ANS)
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Ladders and supported beams EXTRA 2
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Ladders and supported beams EXTRA 2 MS

### OCR past papers and markschemes

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#### Sample assessment material (SAM)

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SAM Paper 1 (Pure) QP & MS
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SAM Paper 2 (Pure and Statistics) QP & MS
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SAM Paper 3 (Pure and Mechanics) QP & MS

#### Practice papers Set 1

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PP Set 1 Paper 1 (Pure)
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PP Set 1 Paper 1 (Pure) MS
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PP Set 1 Paper 2 (Pure and Statistics)
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PP Set 1 Paper 2 (Pure and Statistics) MS
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PP Set 1 Paper 3 (Pure and Mechanics)
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PP Set 1 Paper 3 (Pure and Mechanics) MS

#### Practice papers Set 2

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PP Set 2 Paper 1 (Pure)
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PP Set 2 Paper 1 (Pure) MS
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PP Set 2 Paper 2 (Pure and Statistics)
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PP Set 2 Paper 2 (Pure and Statistics) MS
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PP Set 2 Paper 3 (Pure and Mechanics)
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PP Set 2 Paper 3 (Pure and Mechanics) MS

#### Practice papers Set 3

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PP Set 3 Paper 1 (Pure)
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PP Set 3 Paper 1 (Pure) MS
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PP Set 3 Paper 2 (Pure and Statistics)
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PP Set 3 Paper 2 (Pure and Statistics) MS
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PP Set 3 Paper 3 (Pure and Mechanics)
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PP Set 3 Paper 3 (Pure and Mechanics) MS

#### Practice papers Set 4

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PP Set 4 Paper 1 (Pure)
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PP Set 4 Paper 1 (Pure) MS
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PP Set 4 Paper 2 (Pure and Statistics)
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PP Set 4 Paper 2 (Pure and Statistics) MS
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PP Set 4 Paper 3 (Pure and Mechanics)
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PP Set 4 Paper 3 (Pure and Mechanics) MS

#### June 2018

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June 2018 Paper 1 (Pure)
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June 2018 Paper 1 (Pure) MS
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June 2018 Paper 2 (Pure and Statistics)
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June 2018 Paper 2 (Pure and Statistics) MS
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June 2018 Paper 3 (Pure and Mechanics)
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June 2018 Paper 3 (Pure and Mechanics) MS

#### June 2019

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June 2019 Paper 1 (Pure)
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June 2019 Paper 1 (Pure) MS
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June 2019 Paper 2 (Pure and Statistics)
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June 2019 Paper 2 (Pure and Statistics) MS
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June 2019 Paper 3 (Pure and Mechanics)
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June 2019 Paper 3 (Pure and Mechanics) MS

#### November 2020

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November 2020 Paper 1 (Pure)
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November 2020 Paper 1 (Pure) MS
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November 2020 Paper 2 (Pure and Statistics)
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November 2020 Paper 2 (Pure and Statistics) MS
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November 2020 Paper 3 (Pure and Mechanics)
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November 2020 Paper 3 (Pure and Mechanics) MS

#### October 2021

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October 2021 Paper 1 (Pure) (see correction below)
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Correction to Qu 11(b) of October 2021 Paper 1 (Pure)
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October 2021 Paper 1 (Pure) MS
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October 2021 Paper 2 (Pure and Statistics)
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October 2021 Paper 2 (Pure and Statistics) MS
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October 2021 Paper 3 (Pure and Mechanics)
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October 2021 Paper 3 (Pure and Mechanics) MS

#### June 2022

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June 2022 Paper 1 (Pure)
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June 2022 Paper 1 (Pure) MS
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June 2022 Paper 2 (Pure and Statistics)
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June 2022 Paper 2 (Pure and Statistics) MS
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June 2022 Paper 3 (Pure and Mechanics)
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June 2022 Paper 3 (Pure and Mechanics) MS

### Teacher Y (Statistics)

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#### Topic Y5: Probability and proof

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##### Lessons
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Set notation and Venn diagrams
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Two-way tables
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Tree diagrams
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Modelling with probability
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AS proof (exhaustion, deduction and counterexample)
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Criticising solutions
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##### Topic test preparation
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Y5 (Pre-TT) Probability and proof
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Y5 (Pre-TT) Probability and proof MS
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Y5 (Post-TT) Probability and proof
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Y5 (Post-TT) Probability and proof MS

#### Topic Y6: Further trigonometry

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##### Lessons
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Arcs and sectors
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Triangles and circles
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Compound angle identities
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Double angle identities
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Small angle approximations
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Harmonic identities
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Reciprocal trigonometric functions
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##### Topic test preparation
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Y6 (Pre-TT A) Further trigonometry
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Y6 (Pre-TT A) Further trigonometry MS
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Y6 (Pre-TT B) Further trigonometry
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Y6 (Pre-TT B) Further trigonometry MS
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Y6 (Post-TT A) Further trigonometry
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Y6 (Post-TT A) Further trigonometry MS
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Y6 (Post-TT B) Further trigonometry
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Y6 (Post-TT B) Further trigonometry MS

#### Topic Y7: Binomial and partial fractions

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##### Lessons
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Review of the factor theorem
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Simplifying rational expressions
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Partial fractions with distinct factors
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Partial fractions with repeated factors
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General binomial expansion
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Binomial expansions of compound expressions
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##### Topic test preparation
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Y7 (Pre-TT) Binomial and partial fractions
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Y7 (Pre-TT) Binomial and partial fractions MS
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Y7 (Post-TT) Binomial and partial fractions
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Y7 (Post-TT) Binomial and partial fractions MS

#### Topic Y8: Functions and series

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##### Lessons
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Mappings and functions
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Domain and range
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Composite functions
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Inverse functions
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When does an inverse function exist?
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Inverse trigonometric functions
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Combining transformations
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Modelling with trigonometric functions
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Modulus function
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Modulus equations and inequalities
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Recursive Sequences
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Sigma Notation
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Arithmetic Sequences
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Arithmetic Series
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Geometric Sequences
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Geometric Series
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Infinite Geometric Series
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Using Sequences to Solve Problems
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##### Topic test preparation
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Y8 (Pre-TT A) Functions and series
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Y8 (Pre-TT A) Functions and series MS
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Y8 (Pre-TT B) Functions and series
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Y8 (Pre-TT B) Functions and series MS
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Y8 (Post-TT A) Functions and series
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Y8 (Post-TT A) Functions and series MS
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Y8 (Post-TT B) Functions and series
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Y8 (Post-TT B) Functions and series MS

#### Topic Y9: Statistics

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##### Lessons
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Introduction to normal probabilities
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Using Z-scores and the standard distribution
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Inverse normal distribution
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Finding unknown mean and standard deviation values
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Modelling with normal distribution
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Distribution of the sample mean
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Hypothesis test for a sample mean
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Hypothesis tests for correlation coefficients
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##### Topic test preparation
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Y9 (Pre-TT) Statistics Y9 (Pre-TT) Statistics MS
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Y9 (Post-TT) Statistics Y9 (Post-TT) Statistics MS

### Revision

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Conditional probability EXTRA
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Conditional probability EXTRA MS

### Edexcel Past_paper_MS

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#### Sample assessment material (SAM)

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SAM Papers 1, 2 and 3 MS

#### Specimen papers

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Specimen Paper 1 (Pure) MS
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Specimen Paper 2 (Pure) MS
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Specimen Paper 3A (Statistics) MS
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Specimen Paper 3B (Statistics) MS

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