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
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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