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DRAFT 7357

Specification
For teaching from September 2017 onwards
For A-level exams in 2018 onwards

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DRAFT SPECIFICATION

A-LEVEL
MATHEMATICS

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Version 0.1 9 June 2016


DRAFT SPECIFICATION

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A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Contents
1 Introduction

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2.1 Subject content
2.2 Assessments

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3 Subject content

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3.1 Overarching themes
3.2 A: Proof
3.3 B: Algebra and functions
3.4 C: Coordinate geometry in the (x,y) plane
3.5 D: Sequences and series
3.6 E: Trigonometry
3.7 F: Exponentials and logarithms
3.8 G: Differentiation
3.9 H: Integration
3.10 I: Numerical methods
3.11 J: Vectors
3.12 K: Statistical sampling

3.13 L: Data presentation and interpretation
3.14 M: Probability
3.15 N: Statistical distributions
3.16 O: Statistical hypothesis testing
3.17 P: Quantities and units in mechanics
3.18 Q: Kinematics
3.19 R: Forces and Newton’s laws
3.20 S: Moments
3.21 Use of data in statistics

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2 Specification at a glance

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1.1 Why choose AQA for A-level Mathematics
1.2 Support and resources to help you teach
1.3 Draft specification

4 Scheme of assessment
4.1 Aims
4.2 Assessment objectives
4.3 Assessment weightings

5 General administration
5.1 Entries and codes
5.2 Overlaps with other qualifications
5.3 Awarding grades and reporting results

5.4 Re-sits and shelf life

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Are you using the latest version of this specification?
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You will always find the most up-to-date version of this specification on our website at
aqa.org.uk/7357
We will write to you if there are significant changes to the specification.

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5.5 Previous learning and prerequisites
5.6 Access to assessment: diversity and inclusion
5.7 Working with AQA for the first time
5.8 Private candidates
5.9 Use of calculators


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

1 Introduction
1.1 Why choose AQA for A-level Mathematics

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Maths is one of the biggest facilitating subjects and it’s essential for many higher education
courses and careers. We’ve worked closely with higher education to ensure these qualifications
give your students the best possible chance to progress.

A specification with freedom – assessment design that rewards

understanding

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The changes to A-level Maths qualifications represent the biggest in a generation. They’ve also
given us the chance to design new qualifications, with even more opportunity for your students to
realise their potential.

We want students to see the links between different areas of maths and to apply their maths skills
across all areas. That’s why our assessment structure gives you the freedom to teach maths your
way.
Consistent assessments are essential, which is why we’ve worked hard to ensure our papers are
clear and reward your students for their mathematical skills and knowledge.
You can find out about all our Mathematics qualifications at aqa.org.uk/maths

1.2 Support and resources to help you teach

We’ve worked with experienced teachers to provide you with a range of resources that will help
you confidently plan, teach and prepare for exams.

Teaching resources

Visit aqa.org.uk/7357 to see all our teaching resources. They include:

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• route maps to allow you to plan how to deliver the specification in the way that will best suit you

and your students
• teaching guidance to outline clearly the possible scope of teaching and learning
• textbooks that are approved by AQA
• training courses to help you deliver AQA Mathematics qualifications
• subject expertise courses for all teachers, from newly qualified teachers who are just getting
started, to experienced teachers looking for fresh inspiration.

Preparing for exams
Visit aqa.org.uk/7357 for everything you need to prepare for our exams, including:
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past papers, mark schemes and examiners’ reports
specimen papers and mark schemes for new courses
Exampro: a searchable bank of past AQA exam questions
example student answers with examiner commentaries.

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Analyse your students' results with Enhanced Results Analysis (ERA)
Find out which questions were the most challenging, how the results compare to previous years
and where your students need to improve. ERA, our free online results analysis tool, will help you
see where to focus your teaching. Register at aqa.org.uk/era
For information about results, including maintaining standards over time, grade boundaries and our
post-results services, visit aqa.org.uk/results

Keep your skills up-to-date with professional development

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• Improve your teaching skills in areas including differentiation, teaching literacy and meeting
Ofsted requirements.
• Prepare for a new role with our leadership and management courses.

You can attend a course at venues around the country, in your school or online – whatever suits
your needs and availability. Find out more at coursesandevents.aqa.org.uk

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Help and support

Visit our website for information, guidance, support and resources at aqa.org.uk/7357
If you'd like us to share news and information about this qualification, sign up for emails and
updates at aqa.org.uk/from-2017
Alternatively, you can call or email our subject team direct.

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1.3 Draft specification

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This draft qualification has not yet been accredited by Ofqual. It is published to enable teachers to
have early sight of our proposed approach to A-level Mathematics. Further changes may be
required and no assurance can be given that this proposed qualification will be made available in

its current form, or that it will be accredited in time for first teaching in September 2017 and first
award in August 2018.

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Wherever you are in your career, there’s always something new to learn. As well as subject
specific training, we offer a range of courses to help boost your skills.


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

2 Specification at a glance
This qualification is linear. Linear means that students will sit all their exams at the end of the
course.

2.1 Subject content
OT1: Mathematical argument, language and proof (page 11)
OT2: Mathematical problem solving (page 11)
OT3: Mathematical modelling (page 12)
A: Proof (page 12)
B: Algebra and functions (page 13)
C: Coordinate geometry in the (x,y) plane (page 14)
D: Sequences and series (page 15)
E: Trigonometry (page 15)
F: Exponentials and logarithms (page 17)
G: Differentiation (page 18)
H: Integration (page 19)
I: Numerical methods (page 20)

J: Vectors (page 20)
K: Statistical sampling (page 21)
L: Data presentation and interpretation (page 21)
M: Probability (page 22)
N: Statistical distributions (page 22)
O: Statistical hypothesis testing (page 23)
P: Quantities and units in mechanics (page 23)
Q: Kinematics (page 23)
R: Forces and Newton’s laws (page 24)
S: Moments (page 25)

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Core content

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2.2 Assessments
Paper 1
What's assessed
A: Proof
B: Algebra and functions
C: Coordinate geometry
D: Sequences and series
E: Trigonometry
F: Exponentials and logarithms
G: Differentiation
H: Integration
I: Numerical methods

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How it's assessed

• Written exam: 2 hours
• 100 marks
• 33⅓ % of A-level
Questions

A mix of question styles, from short, single-mark questions to multi-step problems.

Paper 2

What's assessed

Any content from Paper 1 and content from:
J: Vectors
P: Quantities and units in mechanics
Q: Kinematics
R: Forces and Newton’s laws
S: Moments

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How it's assessed

• Written exam: 2 hours
• 100 marks
• 33⅓ % of A-level
Questions
A mix of question styles, from short, single-mark questions to multi-step problems.

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Any content from:


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Paper 3
What's assessed
K: Statistical sampling
L: Data presentation and Interpretation
M: Probability
N: Statistical distributions
O: Statistical hypothesis testing

How it's assessed
• Written exam: 2 hours
• 100 marks
• 33⅓ % of A-level

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Any content from Paper 1 and content from:

Questions

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A mix of question styles, from short, single-mark questions to multi-step problems.

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DRAFT SPECIFICATION

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A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

3 Subject content
The subject content for A-level Mathematics is set out by the Department for Education (DfE) and
is common across all exam boards. The content set out in this specification covers the complete Alevel course of study.

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A-level specifications in mathematics must require students to demonstrate the overarching
knowledge and skills contained in sections OT1, OT2 and OT3. These must be applied, along with
associated mathematical thinking and understanding, across the whole of the detailed content set
out in sections A to S.

Students must use the mathematical notation and must be able to recall the mathematical formulae
and identities set out in the DfE subject content.

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3.1 Overarching themes

3.1.1 OT1: Mathematical argument, language and proof
Content

OT1.1

Construct and present mathematical arguments through appropriate use of
diagrams; sketching graphs; logical deduction; precise statements involving
correct use of symbols and connecting language, including: constant, coefficient,
expression, equation, function, identity, index, term, variable.

OT1.2

Understand and use mathematical language and syntax as set out in the content.

OT1.3

Understand and use language and symbols associated with set theory, as set out
in the content.
Apply to solutions of inequalities and probability.

Understand and use the definition of a function; domain and range of functions.

OT1.5

Comprehend and critique mathematical arguments, proofs and justifications of
methods and formulae, including those relating to applications of mathematics.

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OT1.4

3.1.2 OT2: Mathematical problem solving
Content

OT2.1

Recognise the underlying mathematical structure in a situation and simplify and
abstract appropriately to enable problems to be solved.

OT2.2

Construct extended arguments to solve problems presented in an unstructured
form, including problems in context.

OT2.3

Interpret and communicate solutions in the context of the original problem.

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Understand that many mathematical problems cannot be solved analytically, but
numerical methods permit solution to a required level of accuracy.

OT2.5

Evaluate, including by making reasoned estimates, the accuracy or limitations of
solutions, including those obtained using numerical methods.

OT2.6

Understand the concept of a mathematical problem solving cycle, including
specifying the problem, collecting information, processing and representing
information and interpreting results, which may identify the need to repeat the
cycle.

OT2.7

Understand, interpret and extract information from diagrams and construct
mathematical diagrams to solve problems, including in mechanics.

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OT2.4

3.1.3 OT3: Mathematical modelling

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OT3.1

Translate a situation in context into a mathematical model, making simplifying
assumptions.

OT3.2

Use a mathematical model with suitable inputs to engage with and explore
situations (for a given model or a model constructed or selected by the student).

OT3.3

Interpret the outputs of a mathematical model in the context of the original
situation (for a given model or a model constructed or selected by the student).

OT3.4

Understand that a mathematical model can be refined by considering its outputs
and simplifying assumptions; evaluate whether the model is appropriate.

OT3.5

Understand and use modelling assumptions.

3.2 A: Proof

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Content

A1

• Understand and use the structure of mathematical proof, proceeding from
given assumptions through a series of logical steps to a conclusion; use
methods of proof, including proof by deduction, proof by exhaustion.
• Disproof by counter example.
• Proof by contradiction (including proof of the irrationality of √2 and the infinity of
primes, and application to unfamiliar proofs).

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Content


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

3.3 B: Algebra and functions
Content
B1

Understand and use the laws of indices for all rational exponents.
Content

B2

Use and manipulate surds, including rationalising the denominator.

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B3

Work with quadratic functions and their graphs; the discriminant of a quadratic
function, including the conditions for real and repeated roots; completing the
square; solution of quadratic equations including solving quadratic equations in a
function of the unknown.

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Content

Content

B4

Solve simultaneous equations in two variables by elimination and by substitution,
including one linear and one quadratic equation.
Content

B5

• Solve linear and quadratic inequalities in a single variable and interpret such
inequalities graphically, including inequalities with brackets and fractions.

• Express solutions through correct use of ‘and’ and ‘or’, or through set notation.
• Represent linear and quadratic inequalities such as y > x + 1 and

y > ax2 + bx + c graphically.

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• Manipulate polynomials algebraically, including expanding brackets and
collecting like terms, factorisation and simple algebraic division; use of the
factor theorem.
• Simplify rational expressions including by factorising and cancelling, and
algebraic division (by linear expressions only).

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B6

Content

B7

• Understand and use graphs of functions; sketch curves defined by simple
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equations including polynomials, the modulus of a linear function, y = x and

y=

a
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(including their vertical and horizontal asymptotes); interpret algebraic

solution of equations graphically; use intersection points of graphs to solve
equations.
• Understand and use proportional relationships and their graphs.

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Content
B8

Understand and use composite functions; inverse functions and their graphs.
Content

B9

Understand the effect of simple transformations on the graph of y = f x including
sketching associated graphs:

B10

Decompose rational functions into partial fractions (denominators not more
complicated than squared linear terms and with no more than 3 terms, numerators
constant or linear).

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Content

B11

Use of functions in modelling, including consideration of limitations and
refinements of the models.

3.4 C: Coordinate geometry in the (x,y) plane
Content

C1

• Understand and use the equation of a straight line, including the forms:
y − y1 = m x − x1 and ax + by + c = 0 ; gradient conditions for two straight
lines to be parallel or perpendicular.
• Be able to use straight line models in a variety of contexts.
Content

Understand and use the coordinate geometry of the circle including using the
2
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equation of a circle in the form x − a + y − b = r ; completing the square to
find the centre and radius of a circle; use of the following properties:

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• the angle in a semicircle is a right angle

• the perpendicular from the centre to a chord bisects the chord
• the radius of a circle at a given point on its circumference is perpendicular to
the tangent to the circle at that point.
Content

C3

Understand and use the parametric equations of curves and conversion between
Cartesian and parametric forms.

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Content

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y = a f x , y = f x + a, y = f x + a , y = f ax , and combinations of these
transformations.


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Content
C4

Use parametric equations in modelling in a variety of contexts.

3.5 D: Sequences and series

Content
• Understand and use the binomial expansion of a + bx n for positive integer n;
the notations n! and nCr; link to binomial probabilities.
• Extend to any rational n, including its use for approximation; be aware that the
expansion is valid for a < 1 . (proof not required).
Content
D2

Work with sequences including those given by a formula for the nth term and
those generated by a simple relation of the form xn+1 = f(xn); increasing
sequences; decreasing sequences; periodic sequences.

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Content

D3

Understand and use sigma notation for sums of series.
Content

D4

Understand and work with arithmetic sequences and series, including the
formulae for nth term and the sum to n terms.
Content

D5

Understand and work with geometric sequences and series including the formulae
for the nth term and the sum of a finite geometric series; the sum to infinity of a
convergent geometric series, including the use of |r | < 1; modulus notation.

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Content

D6

Use sequences and series in modelling.

3.6 E: Trigonometry
Content

E1

• Understand and use the definitions of sine, cosine and tangent for all
arguments; the sine and cosine rules; the area of a triangle in the form
1
2 absin C
• Work with radian measure, including use for arc length and area of sector.

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Content
Understand and use the standard small angle approximations of sine, cosine and
tangent
sin θ ≈ θ, cos θ ≈ 1 −
Content

E3

θ2
2

, tan θ ≈ θ where θ is in radians.

• Understand and use the sine, cosine and tangent functions; their graphs,
symmetries and periodicity.
• Know and use exact values of sin and cos for 0, π , π , π , π , π and multiples
thereof, and exact values of tan for 0,
Content

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2

6, 4, 3,

π and multiples thereof.

Understand and use the definitions of secant, cosecant and cotangent and of
arcsin, arccos and arctan; their relationships to sine, cosine and tangent;
understanding of their graphs; their ranges and domains.

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π π π

Content

E5

• Understand and use tan θ =

sinθ
cosθ

• Understand and use sin2θ + cos2θ = 1 ; sec2θ = 1 + tan2θ and

cosec2θ = 1 + cot2θ

Content

E6

• Understand and use double angle formulae; use of formulae for
sin A ± B , cos A ± B and tan A ± B ; understand geometrical proofs of these
formulae.
• Understand and use expressions for a cos θ + b sin θ in the equivalent forms of
rcos θ ± α or rsin θ ± α

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Content

E7

Solve simple trigonometric equations in a given interval, including quadratic
equations in sin, cos and tan and equations involving multiples of the unknown
angle.

Content

E8

Construct proofs involving trigonometric functions and identities.

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A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Content
E9

Use trigonometric functions to solve problems in context, including problems
involving vectors, kinematics and forces.

3.7 F: Exponentials and logarithms
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• Know and use the function ax and its graph, where a is positive.
• Know and use the function ex and its graph.
Content

F2

kx

kx

Know that the gradient of e is equal to ke and hence understand why the
exponential model is suitable in many applications.

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F1

Content

F3

• Know and use the definition of log x as the inverse of ax , where a is positive
a
and x ≥ 0

• Know and use the function ln x and its graph.
• Know and use ln x as the inverse function of ex

Content

F4

Understand and use the laws of logarithms:

x

k

loga x+ loga y = loga xy ; loga x− loga y = loga y ; k loga x = loga x
(including, for example, k = − 1 and k = −

1
2

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Content

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F5

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Solve equations of the form a = b

Content

F6

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Use logarithmic graphs to estimate parameters in relationships of the form y = ax
x

and y = kb , given data for x and y.

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Content
F7

Understand and use exponential growth and decay; use in modelling (examples
may include the use of e in continuous compound interest, radioactive decay, drug
concentration decay, exponential growth as a model for population growth);
consideration of limitations and refinements of exponential models.

3.8 G: Differentiation

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• Understand and use the derivative of f x as the gradient of the tangent to the
graph of y = f x at a general point (x, y); the gradient of the tangent as a limit;
interpretation as a rate of change; sketching the gradient function for a given
curve; second derivatives; differentiation from first principles for small positive
integer powers of x and for sinx and cosx
• Understand and use the second derivative as the rate of change of gradient;
connection to convex and concave sections of curves and points of inflection.

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G1

Content

G2

• Differentiate xn , for rational values of n, and related constant multiples, sums

and differences.
• Differentiate ekx and akx , sin kx , cos kx , tan kx and related sums, differences
and constant multiples.
• Understand and use the derivative of ln x
Content

G3

• Apply differentiation to find gradients, tangents and normals, maxima and
minima and stationary points, points of inflection.
• Identify where functions are increasing or decreasing.
Content

Differentiate using the product rule, the quotient rule and the chain rule, including
problems involving connected rates of change and inverse functions.

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G4

Content

G5

Differentiate simple functions and relations defined implicitly or parametrically, for
first derivative only.
Content

G6

Construct simple differential equations in pure mathematics and in context,
(contexts may include kinematics, population growth and modelling the
relationship between price and demand).

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A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

3.9 H: Integration
Content
H1

Know and use the Fundamental Theorem of Calculus.
Content
• Integrate xn (excluding n = -1), and related sums, differences and constant
multiples.
• Integrate ekx , 1 , sin kx , cos kx and related sums, differences and constant

Content
H3

Evaluate definite integrals; use a definite integral to find the area under a curve
and the area between two curves.

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multiples.

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H2

Content

H4

Understand and use integration as the limit of a sum.
Content

H5

• Carry out simple cases of integration by substitution and integration by parts;
understand these methods as the inverse processes of the chain and product
rules respectively.
• (Integration by substitution includes finding a suitable substitution and is limited
to cases where one substitution will lead to a function which can be integrated;
integration by parts includes more than one application of the method but
excludes reduction formulae).
Content

Integrate using partial fractions that are linear in the denominator.

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H6

Content

H7

Evaluate the analytical solution of simple first order differential equations with
separable variables, including finding particular solutions (Separation of variables
may require factorisation involving a common factor).
Content

H8

Interpret the solution of a differential equation in the context of solving a problem,
including identifying limitations of the solution; includes links to kinematics.

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3.10 I: Numerical methods
Content
I1

• Locate roots of f x = 0 by considering changes of sign of f x in an interval of
x on which f x is sufficiently well-behaved.
• Understand how change of sign methods can fail.

• Solve equations approximately using simple iterative methods; be able to draw
associated cobweb and staircase diagrams.
• Solve equations using the Newton-Raphson method and other recurrence
relations of the form xn + 1 = g xn

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I2

• Understand how such methods can fail.

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Content

I3

Understand and use numerical integration of functions, including the use of the
trapezium rule and estimating the approximate area under a curve and limits that
it must lie between.
Content

I4

Use numerical methods to solve problems in context.

3.11 J: Vectors
Content

J1

Use vectors in two dimensions and in three dimensions.
Content

Calculate the magnitude and direction of a vector and convert between
component form and magnitude/direction form.

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J2

Content

J3

Add vectors diagrammatically and perform the algebraic operations of vector
addition and multiplication by scalars, and understand their geometrical
interpretations.
Content

J4

Understand and use position vectors; calculate the distance between two points
represented by position vectors.

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A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Content
J5

Use vectors to solve problems in pure mathematics and in context, including
forces and kinematics.

3.12 K: Statistical sampling
For sections K to O students must demonstrate the ability to use calculator technology to compute
summary statistics and access probabilities from standard statistical distributions.

• Understand and use the terms ‘population’ and ‘sample’.
• Use samples to make informal inferences about the population.
• Understand and use sampling techniques, including simple random sampling
and opportunity sampling.
• Select or critique sampling techniques in the context of solving a statistical
problem, including understanding that different samples can lead to different
conclusions about the population.

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K1

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Content

3.13 L: Data presentation and interpretation
Content

L1

• Interpret diagrams for single-variable data, including understanding that area in
a histogram represents frequency.
• Connect to probability distributions.
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• Interpret scatter diagrams and regression lines for bivariate data, including
recognition of scatter diagrams which include distinct sections of the population
(calculations involving regression lines are excluded).
• Understand informal interpretation of correlation.
• Understand that correlation does not imply causation.

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L2

Content

L3

• Interpret measures of central tendency and variation, extending to standard

deviation.
• Be able to calculate standard deviation, including from summary statistics.
Content

L4

• Recognise and interpret possible outliers in data sets and statistical diagrams.
• Select or critique data presentation techniques in the context of a statistical
problem.
• Be able to clean data, including dealing with missing data, errors and outliers.

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3.14 M: Probability
Content
M1

• Understand and use mutually exclusive and independent events when
calculating probabilities.
• Link to discrete and continuous distributions.

• Understand and use conditional probability, including the use of tree diagrams,
Venn diagrams, two-way tables.
• Understand and use the conditional probability formula.
• P A B = P A∩B
PB

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M2

M3

Modelling with probability, including critiquing assumptions made and the likely
effect of more realistic assumptions.

3.15 N: Statistical distributions
Content

N1

Understand and use simple, discrete probability distributions (calculation of mean
and variance of discrete random variables is excluded), including the binomial
distribution, as a model; calculate probabilities using the binomial distribution.
Content

• Understand and use the Normal distribution as a model; find probabilities using
the Normal distribution.
• Link to histograms, mean, standard deviation, points of inflection and the
binomial distribution.

D

N2

Content

N3

Select an appropriate probability distribution for a context, with appropriate
reasoning, including recognising when the binomial or Normal model may not be
appropriate.

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DRAFT SPECIFICATION

Content


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

3.16 O: Statistical hypothesis testing
Content

T

Understand and apply the language of statistical hypothesis testing, developed
through a binomial model: null hypothesis, alternative hypothesis, significance
level, test statistic, 1-tail test, 2-tail test, critical value, critical region, acceptance
region, p-value]; extend to correlation coefficients as measures of how close data
points lie to a straight line and be able to interpret a given correlation coefficient
using a given p-value or critical value (calculation of correlation coefficients is
excluded).

Content

O2

• Conduct a statistical hypothesis test for the proportion in the binomial
distribution and interpret the results in context.
• Understand that a sample is being used to make an inference about the
population and appreciate that the significance level is the probability of
incorrectly rejecting the null hypothesis.

R
AF

DRAFT SPECIFICATION

O1

Content

O3

Conduct a statistical hypothesis test for the mean of a Normal distribution with
known, given or assumed variance and interpret the results in context.

3.17 P: Quantities and units in mechanics
Content

P1

• Understand and use fundamental quantities and units in the S.I. system:

length, time, mass.
• Understand and use derived quantities and units: velocity, acceleration, force,
weight, moment.

D

3.18 Q: Kinematics
Content

Q1

Understand and use the language of kinematics: position; displacement; distance
travelled; velocity; speed; acceleration.
Content

Q2

Understand, use and interpret graphs in kinematics for motion in a straight line:
displacement against time and interpretation of gradient; velocity against time and
interpretation of gradient and area under the graph.

Visit aqa.org.uk/7357 for the most up-to-date specification, resources, support and administration 23


Content
Q3

Understand, use and derive the formulae for constant acceleration for motion in a
straight line; extend to 2 dimensions using vectors.
Content

Q4

Use calculus in kinematics for motion in a straight line:

v=

dr
,
dt

a=

dv
dt

=

d 2r
,
dt2

r = ∫ v dt,v = ∫ a dt ; extend to 2 dimensions using vectors.

Model motion under gravity in a vertical plane using vectors; projectiles.

R
AF

3.19 R: Forces and Newton’s laws

Content

R1

Understand the concept of a force; understand and use Newton’s first law.
Content

R2

Understand and use Newton’s second law for motion in a straight line (restricted
to forces in two perpendicular directions or simple cases of forces given as 2D
vectors); extend to situations where forces need to be resolved (restricted to 2
dimensions).
Content

• Understand and use weight and motion in a straight line under gravity;
gravitational acceleration, g, and its value in S.I. units to varying degrees of
accuracy.
• (The inverse square law for gravitation is not required and g may be assumed
to be constant, but students should be aware that g is not a universal constant
but depends on location).

D

R3

Content

R4

Understand and use Newton’s third law; equilibrium of forces on a particle and
motion in a straight line (restricted to forces in two perpendicular directions or
simple cases of forces given as 2D vectors); application to problems involving
smooth pulleys and connected particles; resolving forces in 2 dimensions;
equilibrium of a particle under coplanar forces.
Content

R5

Understand and use addition of forces; resultant forces; dynamics for motion in a
plane.

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DRAFT SPECIFICATION

Q5

T

Content


A-level Mathematics DRAFT 7357. A-level exams June 2018 onwards. Version 0.1 9 June 2016

Content
R6

Understand and use the F ≤ μR model for friction; coefficient of friction; motion of
a body on a rough surface; limiting friction and statics.

3.20 S: Moments
Content

3.21 Use of data in statistics

T

Understand and use moments in simple static contexts.

As set out in the Department for Education’s Mathematics: AS and A-level content document,
students studying A-level Mathematics must:

• become familiar with one or more specific large data set(s) in advance of the final assessment
(these data must be real and sufficiently rich to enable the concepts and skills of data
presentation and interpretation in the specification to be explored)
• use technology such as spreadsheets or specialist statistical packages to explore the data
set(s)
• interpret real data presented in summary or graphical form
• use data to investigate questions arising in real contexts.

R
AF

DRAFT SPECIFICATION

S1

This requirement is common to all exam boards.

3.21.1 Data set

We have selected one data set that will feature in statistics questions throughout the lifetime of this
specification.
The data set must be used in teaching to allow students to perform tasks that build familiarity with
the contexts, the main features of the data and the ways in which technology can help explore the
data. Students should also be able to demonstrate the ability to analyse a subset or features of the
data using a calculator with standard statistical functions.

D

For information on the data set that students should be familiar with and supporting resources, visit
aqa.org.uk/7357

Visit aqa.org.uk/7357 for the most up-to-date specification, resources, support and administration 25