AS Further Mathematics


Past mock examinations

     
OCR AS Further Mathematics Formula Booklet
     
L6 FM Mock Teacher X 18-19 L6 FM Mock Teacher X 18-19 SOLUTIONS
     
L6 FM Mock Teacher Y 18-19 L6 FM Mock Teacher Y 18-19 SOLUTIONS
     
L6 FM Mock Teacher X 19-20 L6 FM Mock Teacher X 19-20 SOLUTIONS
     
L6 FM Mock Teacher Y 19-20 L6 FM Mock Teacher Y_19-20 SOLUTIONS

Teacher X (4 periods)

     

Topic X1: Matrices

     
Lessons
     
Matrix arithmetic
     
Matrix multiplication
     
Determinants of 2 by 2 matrices
     
Inverse_of_2_by_2_matrices
     
Determinant and inverse of 3 by 3 matrices
     
Linear simultaneous equations
     
Matrices as linear transformations
     
Further transformations in 2-D
     
Invariant points and invariant lines
     
Transformations in 3-D
     
Topic test preparation
     
X1 (Pre-TT A) Matrices X1 (Pre-TT A) Matrices MS
     
X1 (Pre-TT B) Matrices X1 (Pre-TT B) Matrices MS
     
X1 (Post-TT A) Matrices X1 (Post-TT A) Matrices MS
     
X1 (Post-TT B) Matrices X1 (Post-TT B) Matrices MS

Topic X2: Vectors and induction

     
Lessons
     
Vector equation of a line
     
Cartesian equation of a line
     
Intersection of two lines
     
Scalar product and angles
     
Vector product
     
Induction and matrices
     
Induction and divisibility
     
Induction and inequalities
     
Topic test preparation
     
X2 (Pre-TT A) Vectors and induction
     
X2 (Pre-TT A) Vectors and induction MS
     
X2 (Pre-TT B) Vectors and induction
     
X2 (Pre-TT B) Vectors and induction MS
     
X2 (Post-TT A) Vectors and induction
     
X2 (Post-TT A) Vectors and induction MS
     
X2 (Post-TT B) Vectors and induction
     
X2 (Post-TT B) Vectors and induction MS

Topic X3: Mechanics AS

     
Lessons
     
Work done by a force
     
Kinetic energy and the work-energy principle
     
PE, ME and the conservation of mechanical energy
     
Work done by a force at an angle
     
Power
     
Defining and calculating dimensions
     
Units and dimensions of sums and products
     
Finding dimensions from units and derivatives
     
Momentum and impulse
     
Collisions and conservation of momentum
     
Coefficient of restitution
     
Impulsive tension in strings
     
Linear speed vs. angular speed
     
Acceleration in horizontal circular motion
     
Conical pendulums
     
Banked tracks
     
Motion in a vertical circle
     
Components of acceleration (general model) A2
     
Problem solving with circular motion
     
Topic test preparation
     
X3 (Pre-TT A) Mechanics X3 (Pre-TT A) Mechanics MS
     
X3 (Pre-TT B) Mechanics X3 (Pre-TT B) Mechanics MS
     
X3 (Post-TT A) Mechanics X3 (Post-TT A) Mechanics MS
     
X3 (Post-TT B) Mechanics X3 (Post-TT B) Mechanics MS

Revision

     
     

OCR Past_paper_MS

     

Sample assessment material (SAM)

     
OCR SAM Paper 1 (Pure) MS
     
OCR SAM Paper 2 (Statistics) MS
     
OCR SAM Paper 3 (Mechanics) MS

Practice papers Set 1

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

Practice papers Set 2

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

May 2018

     
May 2018 Paper 1 (Pure) MS
     
May 2018 Paper 2 (Statistics) MS
     
May 2018 Paper 3 (Mechanics) MS

     
     
     

Teacher Y (3 periods)

     

Topic Y1: Complex numbers and
roots of polynomials

     
Lessons
     
Introduction to Complex Numbers
     
Division and Complex Conjugates
     
Argand Diagram
     
Modulus of a Complex Number and Radians
     
Modulus-Argument Form of a Complex Number
     
Loci in the Argand Diagram
     
Operations in Modulus-Argument Form
     
Factorising Polynomials
     
Complex Solutions to Polynomials
     
Sum and Product of Roots (Quadratics)
     
Cubic and Quartic Equations
     
Finding an Equation with Given Roots
     
Transforming Equations
     
Topic test preparation
     
Y1 (Pre-TT A) Complex numbers & roots of equations
     
Y1 (Pre-TT A) Complex numbers & roots of equations MS
     
Y1 (Pre-TT B) Complex numbers & roots of equations
     
Y1 (Pre-TT B) Complex numbers & roots of equations MS
     
Y1 (Post-TT A) Complex numbers & roots of equations
     
Y1 (Post-TT A) Complex numbers & roots of equations MS
     
Y1 (Post-TT B) Complex numbers & roots of equations
     
Y1 (Post-TT B) Complex numbers & roots of equations MS

Topic Y2: Counting principals &
probability distributions

     
Lessons
     
Product and Addition Principles
     
Permutations
     
Permutations with Limited Places
     
Combinations
     
The Exclusion Principle
     
Keeping Objects Together or Separated
     
Permuting Objects with Repetitions
     
Counting Principles and Probability
     
Standard Deviation (AS Ma)
     
Probability Distributions (AS Ma)
     
Average and Spread of Discrete Random Variables
     
Transformations of Discrete Random Variables
     
Discrete Uniform Distributions
     
Binomial Distribution (AS Ma)
     
Mean and Variance of Binomial Distribution
     
Geometric Distributions
     
Introduction to the Poisson Distrubution
     
Poission Distribution (worded questions)
     
Topic test preparation
     
Y2 (Pre-TT A) Counting principles & probability distributions
     
Y2 (Pre-TT A) Counting principles & probability distributions MS
     
Y2 (Pre-TT B) Counting principles & probability distributions
     
Y2 (Pre-TT B) Counting principles & probability distributions MS
     
Y2 (Post-TT A) Counting principles & probability distributions
     
Y2 (Post-TT A) Counting principles & probability distributions MS
     
Y2 (Post-TT B) Counting principles & probability distributions
     
Y2 (Post-TT B) Counting principles & probability distributions MS

Topic Y3: Correlation, regression &
chi-squared tests

     
Lessons
     
Pearson's Product Moment Correlation Coefficient
     
Introduction to Hypothesis Testing
     
PMCC and Hypothesis Testing
     
Spearman's Rank Correlation Coefficient
     
Linear Regression
     
Contingency Tables
     
Yates' Correction for 2 by 2 Tables
     
Goodness-of-Fit Tests
     
Topic test preparation
     
Y3 (Pre-TT A) Correlation, regression & chi-squared tests
     
Y3 (Pre-TT A) Correlation, regression & chi-squared tests MS
     
Y3 (Pre-TT B) Correlation, regression & chi-squared tests
     
Y3 (Pre-TT B) Correlation, regression & chi-squared tests MS
     
Y3 (Post-TT A) Correlation, regression & chi-squared tests
     
Y3 (Post-TT A) Correlation, regression & chi-squared tests MS
     
Y3 (Post-TT B) Correlation, regression & chi-squared tests
     
Y3 (Post-TT B) Correlation, regression & chi-squared tests MS

Revision

     
     

Edexcel Past_paper_MS

     

Sample assessment material (SAM)

     
Edexcel AS FM SAM QP and MS

Specimen papers

     
Specimen Paper 1 (Pure) MS
     
Specimen Paper 23 (Statistics) MS
     
Specimen Paper 25 (Mechanics) MS

May 2018

     
May 2018 Paper 1 (Pure) MS
     
May 2018 Paper 23 (Statistics) MS
     
May 2018 Paper 25 (Mechanics) MS

     
     
     

AQA Past_paper_MS

     

Sample assessment material (SAM)

     
AQA AS FM SAM Paper 1 (Pure) MS
     
AQA AS FM SAM Paper 2S (Statistics) MS
     
AQA AS FM SAM Paper 2M (Mechanics) MS

May 2018

     
May 2018 Paper 1 (Pure) MS
     
May 2018 Paper 2S (Statistics) MS
     
May 2018 Paper 2M (Mechanics) MS

     
     
     


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