U6 Ma Mock Teacher X 18-19 U6 Ma Mock Teacher X 18-19 SOLUTIONS

U6 Ma Mock Teacher Y 18-19 U6 Ma Mock Teacher Y 18-19 SOLUTIONS

U6 Ma Mock Teacher X 19-20 U6 Ma Mock Teacher X 19-20 SOLUTIONS

U6 Ma Mock Teacher Y 19-20 U6 Ma Mock Teacher Y 19-20 SOLUTIONS

U6 Ma Mock Teacher X 21-22 U6 Ma Mock Teacher X 21-22 SOLUTIONS

U6 Ma Mock Teacher Y 21-22 U6 Ma Mock Teacher Y 21-22 SOLUTIONS

Radians

Locating Roots of Functions

The Newton-Raphson Method

Limitations of the Newton-Raphson Method

Fixed-Point Iteration

Limitations of Fixed-Point Iteration

Upper and Lower Bounds of Integration

Trapezium Rule

X5 (Pre-TT) Numerical methods X5 (Pre-TT) Numerical methods MS

X5 (Post-TT) Numerical methods X5 (Post-TT) Numerical methods MS

Derivative of e^x and ln x

Derivatives of Trigonometric Functions

Integration of e^x and 1/x

Integrals of Trigonometric Functions

Chain Rule (brackets)

Chain Rule (exp/ln)

Chain Rule (trigonometry)

Product Rule

Quotient Rule

Implicit Differentiation

Differentiation of a^x

X6 (Pre-TT) Further differentiation

X6 (Pre-TT) Further differentiation MS

X6 (Post-TT) Further differentiation

X6 (Post-TT) Further differentiation MS

Integrals of the form f'(x)/f(x)

Integrals involving Brackets

Integrals leading to Exponentials and Logs

Integrals involving Trigonometry

Indefinite Integration by Substitution

Definite Integration by Substitution

Integration by Parts

Repeated Integration by Parts

Integrating sine squared and cos squared

Integrating tan squared and cot squared

Integrating sinxcosx

Integration using Partial Fractions

Points of Inflexion

Parametric Equations

Differentiating Parametric Equations

Integrating Parametric Equations

Related Rates of Change

Areas between Curves

Areas between Curves and the y-axis

Differentiating Inverse Functions

Introduction to Differential Equations

Separable Differential Equations

Modelling with Differential Equations

X7 (Pre-TT A) Further calculus X7 (Pre-TT A) Further calculus MS

X7 (Pre-TT B) Further calculus X7 (Pre-TT B) Further calculus MS

X7 (Pre-TT C) Further calculus X7 (Pre-TT C) Further calculus MS

X7 (Post-TT A) Further calculus X7 (Post-TT A) Further calculus MS

X7 (Post-TT B) Further calculus X7 (Post-TT B) Further calculus MS

Describing Motion in 2-D

SUVAT in Vector Form

Calculus with Vectors

Vectors in 3-D

Solving Geometrical Problems

Modelling Projectile Motion

Range and Maximum Height

Equation of the Trajectory

Resolving Forces

Coefficient of Friction

Friction (horizontal plane) NOTES & QUESTIONS

Motion on a Slope

Friction (inclined plane) NOTES & QUESTIONS

Further Equilibrium Problems

Turning Effect of a Force

Equilibrium

Tilting_and_moment_of_angled_force

Ladder Problems

Supported Beams

X8 (Pre-TT A) Mechanics A2 X8 (Pre-TT A) Mechanics A2 MS

X8 (Pre-TT B) Mechanics A2 X8 (Pre-TT B) Mechanics A2 MS

X8 (Post-TT A) Mechanics A2 X8 (Post-TT A) Mechanics A2 MS

X8 (Post-TT B) Mechanics A2 X8 (Post-TT B) Mechanics A2 MS

Newton-Raphson EXTRA

Newton-Raphson EXTRA MS

Fixed-point interation EXTRA

Fixed-point interation EXTRA MS

Numerical integration EXTRA

Numerical integration EXTRA MS

Ladders and supported beams EXTRA 1 (QNS and ANS)

Ladders and supported beams EXTRA 2

Ladders and supported beams EXTRA 2 MS

and markschemes

SAM Paper 1 (Pure) QP & MS

SAM Paper 2 (Pure and Statistics) QP & MS

SAM Paper 3 (Pure and Mechanics) QP & MS

PP Set 1 Paper 1 (Pure)

PP Set 1 Paper 1 (Pure) MS

PP Set 1 Paper 2 (Pure and Statistics)

PP Set 1 Paper 2 (Pure and Statistics) MS

PP Set 1 Paper 3 (Pure and Mechanics)

PP Set 1 Paper 3 (Pure and Mechanics) MS

PP Set 2 Paper 1 (Pure)

PP Set 2 Paper 1 (Pure) MS

PP Set 2 Paper 2 (Pure and Statistics)

PP Set 2 Paper 2 (Pure and Statistics) MS

PP Set 2 Paper 3 (Pure and Mechanics)

PP Set 2 Paper 3 (Pure and Mechanics) MS

PP Set 3 Paper 1 (Pure)

PP Set 3 Paper 1 (Pure) MS

PP Set 3 Paper 2 (Pure and Statistics)

PP Set 3 Paper 2 (Pure and Statistics) MS

PP Set 3 Paper 3 (Pure and Mechanics)

PP Set 3 Paper 3 (Pure and Mechanics) MS

PP Set 4 Paper 1 (Pure)

PP Set 4 Paper 1 (Pure) MS

PP Set 4 Paper 2 (Pure and Statistics)

PP Set 4 Paper 2 (Pure and Statistics) MS

PP Set 4 Paper 3 (Pure and Mechanics)

PP Set 4 Paper 3 (Pure and Mechanics) MS

June 2018 Paper 1 (Pure)

June 2018 Paper 1 (Pure) MS

June 2018 Paper 2 (Pure and Statistics)

June 2018 Paper 2 (Pure and Statistics) MS

June 2018 Paper 3 (Pure and Mechanics)

June 2018 Paper 3 (Pure and Mechanics) MS

June 2019 Paper 1 (Pure)

June 2019 Paper 1 (Pure) MS

June 2019 Paper 2 (Pure and Statistics)

June 2019 Paper 2 (Pure and Statistics) MS

June 2019 Paper 3 (Pure and Mechanics)

June 2019 Paper 3 (Pure and Mechanics) MS

November 2020 Paper 1 (Pure)

November 2020 Paper 1 (Pure) MS

November 2020 Paper 2 (Pure and Statistics)

November 2020 Paper 2 (Pure and Statistics) MS

November 2020 Paper 3 (Pure and Mechanics)

November 2020 Paper 3 (Pure and Mechanics) MS

October 2021 Paper 1 (Pure) (see correction below)

Correction to Qu 11(b) of October 2021 Paper 1 (Pure)

October 2021 Paper 1 (Pure) MS

October 2021 Paper 2 (Pure and Statistics)

October 2021 Paper 2 (Pure and Statistics) MS

October 2021 Paper 3 (Pure and Mechanics)

October 2021 Paper 3 (Pure and Mechanics) MS

June 2022 Paper 1 (Pure)

June 2022 Paper 1 (Pure) MS

June 2022 Paper 2 (Pure and Statistics)

June 2022 Paper 2 (Pure and Statistics) MS

June 2022 Paper 3 (Pure and Mechanics)

June 2022 Paper 3 (Pure and Mechanics) MS

Set notation and Venn diagrams

Two-way tables

Tree diagrams

Modelling with probability

AS proof (exhaustion, deduction and counterexample)

Proof by contradiction

Criticising solutions

Y5 (Pre-TT) Probability and proof

Y5 (Pre-TT) Probability and proof MS

Y5 (Post-TT) Probability and proof

Y5 (Post-TT) Probability and proof MS

Arcs and sectors

Triangles and circles

Compound angle identities

Double angle identities

Small angle approximations

Harmonic identities

Reciprocal trigonometric functions

Y6 (Pre-TT A) Further trigonometry

Y6 (Pre-TT A) Further trigonometry MS

Y6 (Pre-TT B) Further trigonometry

Y6 (Pre-TT B) Further trigonometry MS

Y6 (Post-TT A) Further trigonometry

Y6 (Post-TT A) Further trigonometry MS

Y6 (Post-TT B) Further trigonometry

Y6 (Post-TT B) Further trigonometry MS

Review of the factor theorem

Simplifying rational expressions

Partial fractions with distinct factors

Partial fractions with repeated factors

General binomial expansion

Binomial expansions of compound expressions

Y7 (Pre-TT) Binomial and partial fractions

Y7 (Pre-TT) Binomial and partial fractions MS

Y7 (Post-TT) Binomial and partial fractions

Y7 (Post-TT) Binomial and partial fractions MS

Mappings and functions

Domain and range

Composite functions

Inverse functions

When does an inverse function exist?

Inverse trigonometric functions

Combining transformations

Modelling with trigonometric functions

Modulus function

Modulus equations and inequalities

Recursive Sequences

Sigma Notation

Arithmetic Sequences

Arithmetic Series

Geometric Sequences

Geometric Series

Infinite Geometric Series

Using Sequences to Solve Problems

Y8 (Pre-TT A) Functions and series

Y8 (Pre-TT A) Functions and series MS

Y8 (Pre-TT B) Functions and series

Y8 (Pre-TT B) Functions and series MS

Y8 (Post-TT A) Functions and series

Y8 (Post-TT A) Functions and series MS

Y8 (Post-TT B) Functions and series

Y8 (Post-TT B) Functions and series MS

Introduction to normal probabilities

Using Z-scores and the standard distribution

Inverse normal distribution

Finding unknown mean and standard deviation values

Modelling with normal distribution

Distribution of the sample mean

Hypothesis test for a sample mean

Hypothesis tests for correlation coefficients

Y9 (Pre-TT) Statistics Y9 (Pre-TT) Statistics MS

Y9 (Post-TT) Statistics Y9 (Post-TT) Statistics MS

Conditional probability EXTRA

Conditional probability EXTRA MS

SAM Papers 1, 2 and 3 MS

Specimen Paper 1 (Pure) MS

Specimen Paper 2 (Pure) MS

Specimen Paper 3A (Statistics) MS

Specimen Paper 3B (Statistics) MS

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