Mapping guide for Optional Papers:
Legacy AS Unit 7890 and A Level Unit 7892
to H235 and H245
This mapping guide shows each statement in the optional papers in OCR’s AS and A Level
Further Mathematics specifications mapped to the legacy unit in 7890 and 7892 where this
content is currently found.
It also gives an indication of the approximate number of teaching hours that each statement
should be given. Please note that this is not intended to indicate that the statements should
be taught separately.
OCR’s AS and A Level Further Mathematics A are linear qualifications, so all assessments
are taken in one session and the assumed knowledge for all optional papers includes the
Pure Core content.
This guide assumes that you have approximately 72 hours of delivery time per term, so that
the total time for AS Level, or Stage 1 of A Level is 144 hours and 180 hours for Stage 2 of
A Level. There is no official number of teaching hours; this number is chosen to indicate the
proportional amount of time spent on each paper, topic and statement.
Within the AS Level or Stage 1 of the A Level, each paper is therefore given 48 hours of
delivery time.
Within Stage 2 of A Level, the Pure Core is allocated 120 hours and each optional paper is
allocated 30 hours for delivering the new content. This leaves 36 hours within Stage 2 for
revisiting the AS Level content to reinforce, learn in greater depth and to develop
connections with the full A Level assumed knowledge, or 12 hours for each AS Level paper,
including the Pure Core. This time has not been allocated directly in this document, but
should be used in a way which is appropriate to your learners.
Important note: The unit given in the mapping column does not indicate an exact match,
though it often is in practice. A full detailed mapping will be available at a later date. Where
content in H235 or H245 is not present in 7890 or 7892 this is indicated by NEW.
Download specifications, sample assessment materials, teaching and learning
resources at ocr.org.uk/alevelfurthermaths
Version 1
1
© OCR 2017
OCR Further Maths A – Statistics mapping to legacy
(Y532 and Y542)
4732 is Probability and Statistics 1
4733 is Probability and Statistics 2
4734 is Probability and Statistics 3
4735 is Probability and Statistics 4
OCR
Ref
5.01a
5.01b
5.02a
5.02b
5.02c
5.02d
5.02e
5.02f
5.02g
5.02h
5.02i
5.02j
5.02k
5.02l
5.02m
5.02n
5.03a
5.03b
5.03c
5.03d
5.03e
5.03f
5.03g
5.04a
5.04b
5.05a
5.05b
5.05c
5.05d
Version 1
Subject content
Time
Stage 1
2
3
1
2
1
1
2
1
2
1
1
1
2
2
1
2
Probability
Probability distributions
Binomial distribution
Discrete uniform
Geometric
Poisson
Continuous RVs
Time
Stage 2
2
2
1
1
2
1
2
1
1
2
1
2
2
CDFs
Linear combinations
Xbar and CLT
Unbiased estimates
Normal hyp tests
Confidence intervals
2
Mapping
4732
4732
4732
4732
4732
4732
new
4732
4732
4732
4733
4733
4733
4733
4733
4734
4733/4734
4733
4733
4734
4734
4734
4734
4734
4734
4733
4733
4733
4734
© OCR 2017
OCR
Ref
5.06a
5.06b
5.06c
5.06d
5.07a
5.07b
5.07c
5.07d
5.07e
5.07f
5.08a
5.08b
5.08c
5.08d
5.08e
5.08f
5.08g
5.09a
5.09b
5.09c
5.09d
5.09e
Subject content
Time
Stage 1
2
2
Contingency tables
Fitting a distribution
1
Goodness of fit
Non-parametric tests
2
Correlation
2
1
1
2
2
2
1
1
1
2
1
1
48
1
2
2
1
1
2
Regression
Total number of teaching hours
Version 1
Time
Stage 2
3
Mapping
4734
4734
4734
4734
4735
4735
4735
4735
4735
4735
4732
4732
4732
new
4732
new
4732
4732
4732
4732
4732
4732
30 (+12)
© OCR 2017
OCR Further Maths A – Mechanics mapping to legacy
(Y533 and Y543)
4728 is Mechanics 1
4729 is Mechanics 2
4730 is Mechanics 3
4731 is Mechanics 4
OCR
Ref
6
6.01a
6.01b
6.01c
6.01d
6.01e
6.02a
6.02b
6.02c
6.02d
6.02e
6.02f
6.02g
6.02h
6.02i
6.02j
6.02k
6.02l
6.02m
Version 1
Subject content
Resolving forces (prelim. work not in AS
Maths + rev. of trig.)
dimensions of a quantity
relationship between units and dimensions
error check
determine unknown indices in a formulation
formulate models and derive eqs of motion
concept of work done by a force
work done by a constant force
work done (vectors or variable force)
mechanical energy of a body
gpe and ke of a body
ke of a body using vectors
Hooke's law
elastic potential energy (string or spring)
cons. of energy and work-energy principle
extension of 6.02i with epe
definition of power
use of power to solve problems
power of a variable force in two dimensions
4
Time
Stage 1
4
Time
Stage 2
2
2
1
2
2
1
2
1
1
3
1
1
1
4
2
1
3
1
Mapping
new
new
new
new
new
4729
4729
new
4729
4729
new
4730
4730
4729
4730
4729
4729
new
© OCR 2017
OCR
Ref
6.03a
6.03b
6.03c
6.04d
6.03e
6.03f
6.03g
6.03h
6.03i
6.03j
6.03k
6.03l
6.04a
6.04b
6.04c
6.04d
6.04e
6.05a
6.05b
6.05c
6.05d
6.05e
6.05f
6.06a
Subject content
linear momentum in one dimension
principle of conservation of linear momentum
momentum in two dimensions
principle of conservation of linear momentum
in 2D
impulse of a force
impulse = change in momentum
6.03f in two dimensions (including vector
form)
impulse - momentum principle for a cst. force
or variable force
definition of coefficient of restitution
terms 'perfectly elastic' and 'inelastic'
Newton's experimental law in 1D
Newton's experimental law in 2D
Centre of Mass (principle)
Position of CoM using symmetry
Determine CoM for system of particles or
composite rigid body
Use integration to determine CoM of a uniform
lamina/solid of rev.
Equilibrium of a single rigid body under
coplanar forces
Horizontal circular motion (definitions)
Relationships between angular and linear
velocity/speed and accel.
Problems regarding motion in a horizontal
circle
Motion in a vertical circle
Motion in a vertical circle (including radial and
tang. comp. of accel.)
Motion in a vertical circle not restricted to
circular path
Linear motion under a variable force
Time
Stage 1
1
3
5
Mapping
1
1
4728
4728
new
new
1
4729
4729
4730, new
1
new
3
1
2
2
4729
4729
4729
4730, new
4729
4729
4729
3
4731
2
4729
1
2
1
1
3
1
1
4729
4729
4
4729
2
2
4730
4730
1
4730
3
30 (+12)
4730
48
Version 1
Time
Stage 2
© OCR 2017
OCR Further Maths A –Discrete Mathematics mapping to legacy
(Y534 and Y544)
4732 is Probability and Statistics 1
4736 is Decision Mathematics 1
4737 is Decision Mathematics 2
OCR
Ref
7.01a
7.01b
7.01c
7.01d
7.01e
7.01f
7.01g
7.01h
7.01i
7.01j
7.01k
7.01l
7.01m
7.02a
7.02b
7.02c
7.02d
7.02e
7.02f
7.02g
7.02h
7.02i
7.02j
7.02k
Version 1
Subject content
Types of problem
Set notation
The pigeonhole principle
Multiplicative principle
Enumerating permutations
Enumerating combinations
Arrangements with repetitions
Arrangements of subsets with repetition
Solve problems with a constraint
Solve problems with several constraints
The inclusion-exclusion principle
Find derangements
Vertex, node, arc, edge
Trees and simply connected graphs
Walk, trail, path, cycle, route
Complete graphs
Bipartite graphs
Colouring arguments
Eulerian graphs
Hamiltonian graphs
Ore's theorem
Isomorphism
Digraphs
6
Time
Stage 1
1
0.5
1
1
0.5
0.5
1
Time
Stage 2
1
1
1
0
1
1
0.5
1
0.5
1
0.5
1
1
1
1
1
1
Mapping
new
new
new
new
new/4732
new/4732
new
new
new
new
new/GCSE
new
new
4736
4736
4736
4736
4737
new
4736
new
new
new
new
© OCR 2017
OCR
Ref
7.02l
7.02m
7.02n
7.02o
7.02p
7.02q
7.02r
7.03a
7.03b
7.03c
7.03d
7.03e
7.03f
7.03g
7.03h
7.03i
7.03j
7.03k
7.03l
7.03m
7.04a
7.04b
7.04c
7.04d
7.04e
7.04f
Version 1
Subject content
Time
Stage 1
Planarity
Euler's formula
Kuratowski's theorem
Concept of thickness
Model with graphs and networks
Adjacency matrices
Solve problems modelled as graphs or
networks
Definition of an algorithm
Awareness of the uses and limitations of
algorithms
Trace through an algorithm
Order of an algorithm
Compare efficiency
Calculate T(n) in simple cases
Be familiar with O(n) notation in simple cases
Calculate run time as a function of n
Understand hierarchy of orders
Use and understand bubble sort and shuttle
sort
Use and understand quick sort
Be familiar with bin packing strategies
Extend bin packing strategies
Understand and use Dijkstra's algorithm
Understand and use Prim'sand Kruskal's
algorithms
Use nearest neighbour to find an UB for TSP
Use MST on reduced network to find a LB for
TSP
Solve simple cases of route inspection
Choose or adapt an appropriate algorithm
7
Time
Stage 2
1
0.5
1
0.5
Mapping
1
1
1
new
new
new
new
4736
new
4736
1
1
4736
4736
2
2
1
1
0.5
4736
4736
4736
new
new
new
new
4736
1
0.5
2
1
1
new
4736
new
4736
4736
1
1
4736
4736
2
4736
4736
1.5
2
2
2
© OCR 2017
OCR
Ref
7.05a
7.05b
7.05c
7.05d
7.05e
7.06a
7.06b
7.06c
7.06d
7.06e
7.06f
7.07a
7.07b
7.07c
7.07d
7.07e
7.07f
7.08a
7.08b
7.08c
7.08d
7.08e
7.08f
Subject content
Construct and interpret activity networks
Use and interpret forward and backward
passes
Understand and interpret float
Latest start and earliest finish times, interfering
float
Cascade charts and scheduling
Formulate LP problems
Use slack variables
Investigate constraints
Graphical solutions, including integer
problems
Discuss how changes to coefficients alter the
solution
Integer programming, including branch and
bound
Set up an initial simplex tableau
Perform iterations of simplex
Interpret a simplex tableau
Basic feasible solution, basic/non-basic
variables
Geometric interpretation of iterations
Algebraic interpretation of iterations
Zero-sum games, pay-off matrix
Dominance arguments
Play-safe strategies, stable solutions
Nash equilibrium
Optimal mixed strategy using
algebra/graphical
Optimal mixed strategy using simplex
Time
Stage 1
2
2
8
Mapping
4737
4737
1
1
2
4737
new
0.5
4737
4736
4736
new
4736
1
4736
1.5
new
0.5
2
0.5
0.5
4736
4736
4736
new
1
0.5
new
new
4737
4737
4737
new
4737
2
1
2
1
1
1
1
1
48
Version 1
Time
Stage 2
0.5
30(+12)
4737
© OCR 2017
OCR Further Maths A Additional Pure Mathematics Mapping to legacy
(Y535 and Y545)
4725 is Further Pure Mathematics 1
4726 is Further Pure Mathematics 2
4737 is Further Pure Mathematics 3
OCR
Ref
8.01a
8.01b
8.01c
8.01d
8.01e
8.01f
8.01g
8.01h
8.02a
8.02b
8.02c
8.02d
8.02e
8.02f
8.02g
8.02h
8.02i
8.02j
8.02k
8.02l
8.02m
8.02n
8.02o
Version 1
Subject content
Time
Stage 1
2
2
1.5
0.5
2
2
Recurrence relations
Properties of sequences
Fibonacci & related numbers
Solving recurrence relations
Modelling
Number bases
Divisibility tests
1
1
0.5
0.5
1
1
2
The division algorithm
Finite (modular) arithmetics
Time
Stage 2
2
1
1
1.5
1.5
Prime numbers
0
0.5
0.5
Euclid's lemma
Fermat's little theorem
The order of a modulo p
1
1
1
1
Binomial theorem
9
Mapping
new
4725
new
new
new
new
new
new
new
new
new
new
4727
new
new
new
new
new
new
new
new
new
new
© OCR 2017
OCR
Ref
8.03a
8.03b
8.03c
8.03d
8.03e
8.03f
8.03g
8.03h
8.03i
8.03j
8.03k
8.03l
8.03m
8.04a
8.04b
8.04c
8.04d
8.04e
8.05a
8.05b
8.05c
8.05d
8.05e
8.05f
8.05g
8.06a
8.06b
Subject content
Time
Stage 1
1
2
2
1
2
2
1
1
2
Binary operations
Definition of a group
Orders of elements and groups
Subgroups
Cyclic groups
Generators
Properties of groups
Time
Stage 2
2
1
2
2
Lagrange's theorem
Isomorphism
Abstract groups
Vector product
0.5
1
1
0.5
Scalar triple product
3-d surfaces
1
3
3
Sections & contours
Partial differentiation
Stationary points
3
3
4
Tangent planes
Reduction formulae
Arc lengths & surface areas
48
2
1
3
2
30(+12)
Mapping
4727
4727
4727
4727
4727
4727
4727
4727
4727
4727
4727
4727
new
4727
4727
4727
4727
4727
new
new
new
new
new
new
new
4726
new
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Version 1
10
© OCR 2017