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Year 12 Further Mathematics

Preparation for June Assessments 2020

Revision topics for Year 12 FURTHER Mathematicians for June Assessments

You will take 4 assessments, each 1 hour long, all of which are calculator papers.
  • Paper 1: Pure and Statistics (Single AS syllabus only)
  • Paper 2: Pure and Mechanics (Single AS syllabus only)
  • Paper 3: Pure and Statistics (Single A Level syllabus)
  • Paper 4: Pure and Mechanics (Single A Level syllabus)
Any of the material in the ‘Year 1 and AS’ OCR A Level textbook by Hodder (which you have been lent) may be assessed except for:
  • Chapter sections 1.2 and 1.3 p8-15 (Proof)
Any of the material in the ‘Year 2’ OCR A Level textbook by Hodder (which you have been lent) may be assessed except for:
  • Chapter 1 (Proof)
  • Chapter 3 (Sequences and Series)
  • Chapter 8 (Trigonometric Identities)
  • Chapter 11 (Parametric Equations)
  • Chapter 13 (Differential Equations)
  • Chapter sections 16.2 and 17.1 (Normal Distribution)
  • Chapter section 17.2 (Correlation)

​Past Papers
For preparation for Paper 1 and Paper 2
Paper 1 Pure and Statistics (NOT question 5)
File Size: 1732 kb
File Type: pdf
Download File

Paper 1 Mark Scheme
File Size: 638 kb
File Type: pdf
Download File

Paper 2 Pure and Mechanics (NOT question 3 and 10)
File Size: 1759 kb
File Type: pdf
Download File

Paper 2 Mark Scheme
File Size: 580 kb
File Type: pdf
Download File

MEI Pure and Statistics (NOT question 3)
File Size: 1872 kb
File Type: pdf
Download File

MEI Pure and Stat Mark Scheme
File Size: 339 kb
File Type: pdf
Download File

MEI Pure and Mechanics
File Size: 1719 kb
File Type: pdf
Download File

MEI Pure and Mechanics Mark Scheme
File Size: 605 kb
File Type: pdf
Download File

OCR Practice AS Paper 1 Pure and Statistics (all questions ) with Mark Scheme
File Size: 810 kb
File Type: docx
Download File

OCR Practice AS Paper 2 Pure and Mechanics (all questions) with Mark Scheme
File Size: 1016 kb
File Type: docx
Download File

For preparation for Paper 3 and Paper 4 (NB: check topic list above)
​
A2 Paper 1 Pure
File Size: 1858 kb
File Type: pdf
Download File

A2 Paper 1 Mark Scheme
File Size: 1384 kb
File Type: pdf
Download File

A2 Paper 2 Pure and Statistics
File Size: 1354 kb
File Type: pdf
Download File

A2 Paper 2 Mark Scheme
File Size: 1053 kb
File Type: pdf
Download File

A2 Paper 3 Pure and Mechanics
File Size: 1320 kb
File Type: pdf
Download File

A2 Paper 3 Mark Scheme
File Size: 501 kb
File Type: pdf
Download File


Specimen Papers
​
Specimen Paper 1 Pure Mathematics with Mark Scheme
File Size: 1485 kb
File Type: pdf
Download File

Specimen Paper 2 Pure and Statistics with Mark Scheme
File Size: 1647 kb
File Type: pdf
Download File

Specimen Paper 3 Pure and Mechanics with Mark Scheme
File Size: 1789 kb
File Type: pdf
Download File


Prior Knowledge

Pure AS Coordinate geometry
Pure AS Surds and indices
Pure AS Quadratic functions
Pure AS Equations and inequalities
Pure AS Polynomials
Pure AS The binomial distribution
Pure AS The binomial expansion
Pure AS Differentiation
Mech AS Kinematics
Mech AS Variable acceleration (Part 1: Using calculus)
Pure AS Integration

Pure/Mechanics
Pure/Statistics
​Year 12 Autumn Term - First Half
Pure AS Exponentials and logarithms
Pure AS Problem solving, Pure A2 Proof
Pure AS Coordinate geometry, Quadratic functions, Polynomials
Pure AS Graphs and transformations
Pure A2 Functions
​​Year 12 Autumn Term - Second Half
SMC
Pure AS Vectors and Pure A2 Vectors
Mech AS Variable acceleration
Mech AS Kinematics
Mech AS Forces and Newton's laws 
Mech A2 Kinematics, Forces and motion
AL  Friction
Year 12 Spring Term - First Half
​Mech AL Projectiles
Mech AL Moments of forces
Pure A2 Sequences and series
​Year 12 Spring Term - Second Half
​​Year 12 Autumn Term - First Half
Pure AS Trigonometry
Pure A2 Trigonometry, Trigonometric functions, Trigonometric identities
Pure AS and A2 Differentiation
Pure A2 Further differentiation
​​Year 12 Autumn Term - Second Half
Pure AS and A2 Differentiation
Pure A2 Further differentiation
Stats AS Probability
REVIEW AS The binomial distribution
REVIEW Pure AS The binomial expansion
Potential exploration of Pascal’s triangle
November Assessment/Feedback
Pure AL Algebra
Stats AS Statistical hypothesis testing
Year 12 Spring Term - First Half
​​Stats AS Collecting and interpreting data (section 1)
Stats AS Large data set resources
​Year 12 Spring Term - Second Half
​February Assessment/Feedback
Pure AL Numerical methods
​Yr 12 Summer Term - First Half
​Internal exams
Pure FMAS Complex Numbers, Complex numbers and geometry, Complex roots of polynomials
​
Pure FMAL Complex Numbers
Pure FMAS Roots and coefficients
Pure FMAS [Integral link TBC]
​EPQ week
​Yr 12 Summer Term - Second Half
​FMAL Polar Coordinates
FMAS Vectors and 3D Space
FMAL Vectors and further vectors
​​February Assessment/Feedback
Review Differentiation
Review Pure AS Integration [prior knowledge]
Pure A2 Integration
Also: Integrate by inspection!
Pure AL Differential equation
​Yr 12 Summer Term - First Half
Internal exams
Pure AL Parametric equations
Stats AL Normal distribution and hypothesis testing:
​EPQ week
​Yr 12 Summer Term - Second Half
FMAS Matrices and transformations
FMAS Matrices and their inverses
FMAL Matrices and simultaneous equations

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