Exam boards › OCR

OCR A-level Mathematics B (MEI) H640: the route map

Start with the topic notes · questions by topic, with worked answers · printable workbooks · where the real past papers are · the formulae, and the ones to memorise · the definitions · flashcards · a revision checklist.

Mathematics B (MEI) H640

Checked against OCR’s own H640 specification, version 3 (October 2025), on 21 August 2026. That copy was taken from the board itself on the day of the check rather than from a landing page. The H640 document remains the controlling text. The reference codes below are OCR’s; the short labels beside them are InkMaths summaries rather than OCR’s statement text. The section codes grouping them are ours rather than the board’s, because this qualification numbers its outcomes and not its content areas. Each row links to the relevant lessons and records full, partial or missing coverage.

This page is the content. For the examination itself, what each paper is worth and where OCR publishes them: OCR H640 past papers.

A-level Mathematics content is prescribed nationally. Use the table to check how each statement in this qualification maps to InkMaths; rows marked partial or not covered identify gaps.

PM-PROOF Proof · PM-ALG Algebra · PM-FUNC Functions · PM-GRAPH Graphs · PM-COORD Coordinate geometry · PM-SEQ Sequences and series · PM-TRIG Trigonometry · PM-EXPLOG Exponentials and logarithms · PM-CALC Calculus · PM-NUM Numerical methods · PM-VEC Vectors · ST-SAMP Sampling · ST-DATA Data presentation and interpretation · ST-PROB Probability · ST-DIST Probability distributions · ST-HYP Statistical hypothesis testing · ME-MODEL Models and quantities · ME-KIN1 Kinematics in 1 dimension · ME-KIN2 Kinematics in 2 dimensions · ME-PROJ Projectiles · ME-FORCE Forces · ME-NEWTON Newton's laws of motion · ME-RIGID Rigid bodies

PM-PROOF Proof

3 of 3 covered in full.

Ref	Specification statement	Taught in	Coverage
Mp1	Structure of proof, deduction and exhaustion	The structure of proof: deduction and exhaustion	Covered
Mp2	Disproof by counter example	Disproof and proof by contradiction, Indices and surds, The general binomial expansion	Covered
Mp3	Proof by contradiction	Disproof and proof by contradiction	Covered

PM-ALG Algebra

18 of 18 covered in full.

Ref	Specification statement	Taught in	Coverage
Ma1	Vocabulary and notation	Quadratic functions, Polynomials and the factor theorem, Functions, inverses and the modulus, Simultaneous equations and inequalities	Covered
AKa1	Linear equations in one unknown	Simultaneous equations and inequalities, Quadratic functions	Covered
AKa2	Changing the subject of a formula	Indices and surds, Logarithms and their laws, Rates of change and building differential equations	Covered
Ma2	Solving quadratic equations	Quadratic functions, Indices and surds	Covered
Ma3	The discriminant and its significance	Quadratic functions	Covered
Ma4	Linear simultaneous equations	Simultaneous equations and inequalities	Covered
Ma5	One linear and one quadratic equation	Simultaneous equations and inequalities	Covered
Ma6	Intersections and the solution of equations	Simultaneous equations and inequalities, Graphs, proportion and transformations, Trigonometric graphs and equations, Functions, inverses and the modulus	Covered
Ma7	Linear inequalities and their graphs	Simultaneous equations and inequalities	Covered
Ma8	Quadratic inequalities and their graphs	Simultaneous equations and inequalities, Quadratic functions	Covered
Ma9	Solutions with 'and', 'or' and set notation	Simultaneous equations and inequalities, Quadratic functions	Covered
Ma10	Using and manipulating surds	Indices and surds	Covered
Ma11	Rationalising the denominator	Indices and surds	Covered
Ma12	Laws of indices for rational exponents	Indices and surds	Covered
Ma13	Negative, fractional and zero indices	Indices and surds	Covered
Ma14	Proportional relationships and their graphs	Graphs, proportion and transformations	Covered
Ma15	Partial fractions	Partial fractions, The general binomial expansion, Integrating rational functions	Covered
Ma16	Simplifying rational expressions	Polynomials and the factor theorem, Integrating rational functions	Covered

PM-FUNC Functions

8 of 8 covered in full.

Ref	Specification statement	Taught in	Coverage
Mf1	Arithmetic of polynomials	Polynomials and the factor theorem	Covered
Mf2	The factor theorem	Polynomials and the factor theorem	Covered
Mf3	The definition of a function and its language	Functions, inverses and the modulus	Covered
Mf4	Composite functions	Functions, inverses and the modulus	Covered
Mf5	Inverse functions and their graphs	Functions, inverses and the modulus, Logarithms and their laws, Reciprocal and inverse trigonometric functions	Covered
Mf6	The modulus function	Functions, inverses and the modulus	Covered
Mf7	Inequalities with a modulus sign	Functions, inverses and the modulus	Covered
Mf8	Functions in modelling	Functions in modelling, Log graphs and exponential models, Trigonometric modelling	Covered

PM-GRAPH Graphs

9 of 9 covered in full.

Ref	Specification statement	Taught in	Coverage
MC1	Graphs of functions	Graphs, proportion and transformations, Quadratic functions, Trigonometric graphs and equations, Exponential functions and e	Covered
MC2	Intersections with the coordinate axes	Quadratic functions, Polynomials and the factor theorem, Graphs, proportion and transformations	Covered
MC3	Completing the square for a quadratic curve	Quadratic functions	Covered
MC4	Sketching simple functions and polynomials	Polynomials and the factor theorem, Graphs, proportion and transformations	Covered
MC5	Stationary points in curve sketching	Tangents, turning points and curve behaviour	Covered
MC6	Reciprocal curves and their asymptotes	Graphs, proportion and transformations	Covered
MC7	Single transformations of a graph	Graphs, proportion and transformations	Covered
MC8	Combined transformations	Graphs, proportion and transformations, Exponential functions and e, Trigonometric graphs and equations	Covered
MC9	Stationary points of inflection in curve sketching	Tangents, turning points and curve behaviour	Covered

PM-COORD Coordinate geometry

16 of 17 covered in full, 1 with the gap named.

Ref	Specification statement	Taught in	Coverage
AKg1	The equation y = mx + c	Straight lines	Covered
Mg1	Gradients of parallel and perpendicular lines	Straight lines	Covered
Mg2	Distance between two points	Straight lines, Circles, Vectors in two dimensions	Covered
Mg3	Midpoint of a line segment	Straight lines, Vectors in two dimensions	Covered
Mg4	Forming the equation of a straight line	Straight lines	Covered
Mg5	Drawing a line from its equation	Straight lines	Covered
Mg6	Intersection of two lines	Straight lines, Simultaneous equations and inequalities	Covered
Mg7	Straight line models	Straight lines, Functions in modelling, Correlation and regression	Covered
Mg8	Intersections of lines and curves	Simultaneous equations and inequalities, Quadratic functions	Covered
Mg9	Intersection of a line and a circle	Circles	Covered
Mg10	The equation of a circle	Circles	Covered
Mg11	Circle properties	Circles	Covered
Mg12	Parameter and parametric equations	Parametric equations	Covered
Mg13	Converting between cartesian and parametric forms	Parametric equations	Covered
Mg14	A circle in parametric form	Parametric equations, Circles	Covered except: Only the circle centred on the origin is parametrised. No lesson writes down the parametric form of a circle with its centre somewhere else, or turns such a parametric pair back into the centre-radius equation, so a candidate meeting a translated circle in parametric form has to invent the translation.
Mg15	Gradient of a parametrically defined curve	Implicit and parametric differentiation	Covered
Mg16	Parametric equations in modelling	Parametric equations, Projectiles	Covered

PM-SEQ Sequences and series

17 of 17 covered in full.

Ref	Specification statement	Taught in	Coverage
Ms1	Binomial expansion for positive integer n	The binomial expansion	Covered
Ms2	Factorial and combination notation	The binomial expansion, The binomial distribution, Combinatorics	Covered
Ms3	Binomial expansion for rational n	The general binomial expansion	Covered
Ms4	Expanding a general two-term bracket	The general binomial expansion	Covered
Ms5	Polynomial approximations from the expansion	The general binomial expansion	Covered
Ms6	Sequences, finite and infinite	Sequences and sigma notation	Covered
Ms7	Sequences from a formula or a recurrence	Sequences and sigma notation	Covered
Ms8	A series as a sum of terms	Sequences and sigma notation, Arithmetic series, Geometric series	Covered
Ms9	Sigma notation	Sequences and sigma notation, Arithmetic series	Covered
Ms10	Increasing, decreasing and periodic sequences	Sequences and sigma notation	Covered
Ms11	Convergent and divergent sequences	Sequences and sigma notation, Geometric series, Locating roots and iteration	Covered
Ms12	Arithmetic sequences and series	Arithmetic series	Covered
Ms13	Standard arithmetic formulae	Arithmetic series	Covered
Ms14	Geometric sequences and series	Geometric series	Covered
Ms15	Standard geometric formulae	Geometric series, Logarithms and their laws	Covered
Ms16	Convergence and the sum to infinity	Geometric series	Covered
Ms17	Sequences and series in modelling	Arithmetic series, Geometric series, Log graphs and exponential models	Covered

PM-TRIG Trigonometry

22 of 23 covered in full, 1 with the gap named.

Ref	Specification statement	Taught in	Coverage
AKt1	Right-angled triangles	Triangles and the sine and cosine rules, Vectors in two dimensions, Projectiles	Covered
Mt1	The functions for any angle	Trigonometric graphs and equations	Covered
Mt2	Graphs, symmetries and periodicities	Trigonometric graphs and equations, Graphs, proportion and transformations	Covered
AKt2	Exact values in degrees	Trigonometric graphs and equations, Radians, arcs and small angles	Covered
Mt3	Area of a triangle	Triangles and the sine and cosine rules	Covered
Mt4	The sine and cosine rules	Triangles and the sine and cosine rules	Covered except: No lesson sets either rule in a bearings problem. Bearings are the setting MEI's note says may be required, and the whole apparatus a candidate needs for one, reading a three-figure bearing off a sketch, turning it into an interior angle of the triangle, and converting the answer back into a bearing, is absent even though the triangle work itself is complete.
Mt5	The quotient identity	Trigonometric graphs and equations	Covered
Mt6	The Pythagorean identity	Trigonometric graphs and equations	Covered
Mt7	Solving equations in a given interval	Trigonometric graphs and equations, Reciprocal and inverse trigonometric functions	Covered
Mt8	Exact values in radians	Radians, arcs and small angles, Trigonometric graphs and equations, Reciprocal and inverse trigonometric functions	Covered
Mt9	The inverse trigonometric functions	Reciprocal and inverse trigonometric functions	Covered
Mt10	Radians and conversion	Radians, arcs and small angles	Covered
Mt11	Arc length and sector area	Radians, arcs and small angles	Covered
Mt12	Small angle approximations	Radians, arcs and small angles	Covered
Mt13	Secant, cosecant and cotangent	Reciprocal and inverse trigonometric functions	Covered
Mt14	Relationships between the six graphs	Reciprocal and inverse trigonometric functions	Covered
Mt15	The secant and cosecant identities	Reciprocal and inverse trigonometric functions, Integrating standard functions	Covered
Mt16	Compound angle formulae	Compound angles and the harmonic form	Covered
Mt17	Double angle formulae	Compound angles and the harmonic form, Integrating standard functions, The product, quotient and chain rules	Covered
Mt18	The harmonic form	Compound angles and the harmonic form, Trigonometric modelling	Covered
Mt19	Identities in solving equations	Trigonometric graphs and equations, Compound angles and the harmonic form, Reciprocal and inverse trigonometric functions	Covered
Mt20	Constructing trigonometric proofs	Compound angles and the harmonic form, Reciprocal and inverse trigonometric functions	Covered
Mt21	Trigonometric functions in context	Trigonometric modelling, Vectors in two dimensions, Projectiles, Forces and Newton's laws, Friction and inclined planes, Statics of a particle	Covered

PM-EXPLOG Exponentials and logarithms

11 of 11 covered in full.

Ref	Specification statement	Taught in	Coverage
ME1	The function a to the x and its graph	Exponential functions and e	Covered
ME2	Index and logarithmic form	Logarithms and their laws	Covered
ME3	The logarithm as an inverse function	Logarithms and their laws, Functions, inverses and the modulus	Covered
ME4	The laws of logarithms	Logarithms and their laws	Covered
ME5	Logarithms of the base and of one	Logarithms and their laws	Covered
ME6	Solving an exponential equation	Logarithms and their laws	Covered
ME7	Reducing to linear form and estimating parameters	Log graphs and exponential models, Correlation and regression	Covered
ME8	The exponential function and its graph	Exponential functions and e	Covered
ME9	The gradient of the exponential and why it models	Exponential functions and e, Differentiating trig, exponentials and logs, Solving differential equations	Covered
ME10	The natural logarithm	Logarithms and their laws, Solving differential equations	Covered
ME11	Exponential growth and decay in modelling	Log graphs and exponential models, Exponential functions and e, Functions in modelling, Solving differential equations	Covered

PM-CALC Calculus

31 of 33 covered in full, 2 with the gap named.

Ref	Specification statement	Taught in	Coverage
Mc1	Gradient of a curve as gradient of the tangent	The derivative from first principles	Covered
Mc2	The tangent gradient as a limit of chords	The derivative from first principles	Covered
Mc3	The derivative as a function and as a rate of change	The derivative from first principles, Rates of change and building differential equations	Covered
Mc4	Sketching the gradient function	The derivative from first principles	Covered
Mc5	Differentiating powers of x	Differentiating powers of x, The derivative from first principles	Covered
Mc6	The second derivative as the rate of change of gradient	The derivative from first principles, Tangents, turning points and curve behaviour	Covered
Mc7	Stationary points, maxima and minima	Tangents, turning points and curve behaviour	Covered
Mc8	Increasing and decreasing functions	Tangents, turning points and curve behaviour	Covered
Mc9	Tangents and normals	Tangents, turning points and curve behaviour	Covered
Mc10	Differentiating exponentials and the logarithm	Differentiating trig, exponentials and logs, The product, quotient and chain rules	Covered
Mc11	Differentiating trigonometric functions	Differentiating trig, exponentials and logs	Covered
Mc12	The product rule	The product, quotient and chain rules	Covered
Mc13	The quotient rule	The product, quotient and chain rules	Covered
Mc14	The chain rule	The product, quotient and chain rules	Covered
Mc15	Connected rates of change and inverse functions	The product, quotient and chain rules, Rates of change and building differential equations, Implicit and parametric differentiation	Covered
Mc16	Implicit differentiation	Implicit and parametric differentiation	Covered
Mc17	Concave upwards and concave downwards sections	Tangents, turning points and curve behaviour, The trapezium rule	Covered except: The two names MEI's papers use are never printed. The lessons call a section with increasing gradient convex and a section with decreasing gradient concave, so a candidate who meets concave upwards in a question has been taught a word that reads as its opposite. This is not a synonym a reader can be left to work out, because the two vocabularies disagree about which section the bare word concave names.
Mc18	Points of inflection	Tangents, turning points and curve behaviour, The derivative from first principles	Covered
Mc19	Integration as the reverse of differentiation	Integration as antidifferentiation, Definite integrals and areas	Covered
Mc20	Integrating powers of x	Integration as antidifferentiation	Covered
Mc21	Finding a constant of integration	Integration as antidifferentiation, Solving differential equations	Covered
Mc22	Indefinite and definite integrals	Definite integrals and areas, Integration as antidifferentiation	Covered
Mc23	Area between a graph and the x-axis	Definite integrals and areas, Areas, parametric curves and the limit of a sum	Covered
Mc24	Integrating standard functions	Integrating standard functions, Integrating rational functions	Covered
Mc25	Integration as the limit of a sum	Areas, parametric curves and the limit of a sum	Covered
Mc26	Area between two curves	Areas, parametric curves and the limit of a sum, Definite integrals and areas, Volumes of revolution	Covered except: The second half of MEI's note is not taught at A level. No lesson finds the area between a curve and the y-axis by integrating with respect to y: the integral in the other variable appears only in the Further Mathematics volume-of-revolution lesson, and there it produces a volume rather than an area, so the reader is never shown a horizontal strip or the rewriting of the boundary as x in terms of y for an area question.
Mc27	Substitution reversing the chain rule	Integration by substitution and by parts	Covered
Mc28	Substitution in other cases	Integration by substitution and by parts	Covered
Mc29	Integration by parts	Integration by substitution and by parts	Covered
Mc30	Integrating with partial fractions	Integrating rational functions, Partial fractions	Covered
Mc31	Formulating first order differential equations	Rates of change and building differential equations	Covered
Mc32	Solving by separating variables	Solving differential equations	Covered
Mc33	Interpreting the solution of a differential equation	Solving differential equations, Modelling with differential equations	Covered

PM-NUM Numerical methods (A-level only)

8 of 8 covered in full.

Ref	Specification statement	Taught in	Coverage
Me1	Locating roots by change of sign	Locating roots and iteration	Covered
Me2	Failure of change of sign methods	Locating roots and iteration	Covered
Me3	Fixed point iteration with staircase and cobweb diagrams	Locating roots and iteration	Covered
Me4	The Newton-Raphson method	The Newton-Raphson method, Locating roots and iteration	Covered
Me5	Failure of iterative methods	Locating roots and iteration, The Newton-Raphson method	Covered
Mc34	The trapezium rule and the direction of its error	The trapezium rule	Covered
Mc35	Bounding an area with rectangles	The trapezium rule, Areas, parametric curves and the limit of a sum	Covered
Me6	Numerical methods in context	Locating roots and iteration, The Newton-Raphson method, The trapezium rule	Covered

PM-VEC Vectors

7 of 7 covered in full.

Ref	Specification statement	Taught in	Coverage
Mv1	The language of vectors in two dimensions	Vectors in two dimensions	Covered
Mv2	Adding, subtracting and scaling vectors	Vectors in two dimensions	Covered
Mv3	Magnitude, direction and conversion between forms	Vectors in two dimensions	Covered
Mv4	Position vectors	Vectors in two dimensions, Vectors in three dimensions	Covered
Mv5	Distance between two points from position vectors	Vectors in two dimensions, Vectors in three dimensions	Covered
Mv6	Vectors in pure problems and with forces	Vectors in two dimensions, Forces and Newton's laws, Statics of a particle, Kinematics with variable acceleration	Covered
Mv7	The language of vectors in three dimensions	Vectors in three dimensions, Vectors in two dimensions	Covered

ST-SAMP Sampling

4 of 5 covered in full, 1 with the gap named.

Ref	Specification statement	Taught in	Coverage
Mp21	Population and sample	Sampling and the large data set	Covered
Mp22	Informal inferences from a sample	Sampling and the large data set, Hypothesis testing with the binomial	Covered
Mp23	Random sampling	Sampling and the large data set	Covered
Mp24	A variety of sampling techniques	Sampling and the large data set	Covered except: Two of the seven techniques MEI lists are missing. Cluster sampling, where whole groups are drawn and everyone inside a chosen group is measured, is not described anywhere, and self-selected samples are not named as a category even though the bias they carry is discussed under other headings. A question naming either would find no answer in the library.
Mp25	Selecting and evaluating sampling techniques	Sampling and the large data set	Covered

ST-DATA Data presentation and interpretation

9 of 14 covered in full, 5 with the gap named.

Ref	Specification statement	Taught in	Coverage
MD1	Types of data and standard single-variable diagrams	Representing and interpreting data, Measures of location and spread, Correlation coefficients: product moment and Spearman	Covered except: Three items on MEI's own list are not taught. The pie chart is never drawn or read; the frequency chart, which MEI defines in its Notation cell as an equal-width histogram whose vertical axis carries frequency rather than density, is never named or distinguished from the histogram it resembles; and ranked data is not introduced as a data type at A level, appearing only where Further Statistics ranks values for a rank correlation coefficient.
MD2	Area in a histogram and estimated probabilities	Representing and interpreting data, The normal distribution	Covered
MD3	Cumulative frequency diagrams	Representing and interpreting data	Covered
MD4	Describing frequency distributions	Representing and interpreting data	Covered
MD5	Sample diagrams and theoretical distributions	Sampling and the large data set, The normal distribution, The Central Limit Theorem	Covered except: The positive claim this row makes is never stated. No lesson says that the diagram of an unbiased sample comes to resemble the underlying probability distribution as the sample grows, and none shows the same experiment drawn at two sample sizes so that the convergence can be seen. The nearest thing in the library is about the distribution of the sample mean rather than about the shape of the sample itself.
MD6	Scatter diagrams, regression lines and extrapolation	Correlation and regression	Covered
MD7	Distinct sections and outliers in a scatter diagram	Correlation and regression, Representing and interpreting data	Covered
MD8	Correlation and causation	Correlation and regression	Covered
MD9	Selecting and critiquing data presentation	Representing and interpreting data, Correlation and regression	Covered except: Time series are not covered. MEI adds graphs for time series to this row, and no lesson plots a quantity against time as a series or discusses what such a plot shows that a distribution diagram cannot, so a candidate asked to choose or criticise a display for data collected over time has nothing to draw on.
MD10	Measures of central tendency	Measures of location and spread, Representing and interpreting data	Covered except: Two items in MEI's note are absent. The midrange is not defined anywhere, and the weighted mean is not taught at all, so the example the board gives, combining group means using population sizes as weights, is a calculation no lesson performs.
MD11	Simple measures of spread	Measures of location and spread, Representing and interpreting data	Covered
MD12	Variance and standard deviation	Measures of location and spread, Estimators, standard error and confidence intervals	Covered except: The divisor MEI fixes for this qualification is not the one the A-level lessons use. MEI defines sample variance and sample standard deviation with the n-minus-one divisor, cites the British and international standards for it, and says the usage will be consistent throughout the specification; the statistics lesson computes the spread with divisor n and calls that the standard deviation, and the n-minus-one version appears only in a Further Statistics lesson about estimating a population parameter. Separately, no lesson shows a reader how to get a mean and standard deviation out of a calculator's statistical functions, which this row asks for by name and which MEI's own note about differing manufacturer notation makes a real task.
MD13	Identifying outliers	Representing and interpreting data	Covered
MD14	Cleaning data	Representing and interpreting data, Sampling and the large data set	Covered

ST-PROB Probability

10 of 11 covered in full, 1 with the gap named.

Ref	Specification statement	Taught in	Coverage
AKu1	Probability of an event	Probability and Venn diagrams, Conditional probability	Covered
AKu2	Complementary events	Probability and Venn diagrams, The binomial distribution	Covered
AKu3	Expected frequency of an event	Probability and Venn diagrams, The binomial distribution, Goodness-of-fit tests	Covered except: Expected frequency is not taught at A level. No lesson multiplies a number of trials by a probability to say how many occurrences to expect, and the product MEI prints in its Notation cell is never written down under that name; the only place a count times a probability appears is as the expected class counts of a chi-squared test in Further Statistics, which is a different question in a different context.
AKu4	Diagrams to assist probability calculations	Probability and Venn diagrams, Conditional probability	Covered
Mu1	Mutually exclusive and independent events	Probability and Venn diagrams	Covered
Mu2	Adding probabilities for exclusive events	Probability and Venn diagrams	Covered
Mu3	Multiplying probabilities for independent events	Probability and Venn diagrams, The binomial distribution, Conditional probability	Covered
Mu4	Notation and definitions for exclusive and independent events	Probability and Venn diagrams, Conditional probability	Covered
Mu5	Venn diagrams and the addition rule	Probability and Venn diagrams	Covered
Mu6	Conditional probability	Conditional probability	Covered
Mu7	Conditional probability and independence	Conditional probability, Probability and Venn diagrams	Covered

ST-DIST Probability distributions

11 of 13 covered in full, 2 with the gap named.

Ref	Specification statement	Taught in	Coverage
MR1	Recognising a binomial situation	The binomial distribution	Covered
MR2	Identifying the probability of success	The binomial distribution	Covered
MR3	Calculating binomial probabilities	The binomial distribution	Covered
MR4	The mean of the binomial distribution	The binomial distribution, The normal distribution	Covered
MR5	Expected frequencies for the binomial	The binomial distribution, Goodness-of-fit tests	Covered except: No lesson turns a binomial probability into an expected count. The question this row is about, how many of a stated number of repetitions would be expected to give a particular result, is never asked at A level, and expected frequencies appear only as the theoretical counts of a chi-squared test in Further Statistics, arrived at for a different purpose and without being connected back to the binomial model here.
MR6	Discrete probability distributions	The binomial distribution	Covered
MR7	Simple distributions and the discrete uniform	The binomial distribution	Covered
MR8	The Normal distribution as a model	The normal distribution	Covered
MR9	The shape of the Normal curve	The normal distribution	Covered except: The second half of the row is not taught. No lesson says that histograms of larger and larger samples from a normal population approach the curve itself, and none draws the sequence of histograms that would show it, so the curve arrives as a given shape rather than as the limit of something a reader could collect.
MR10	Linear transformation and standardising	The normal distribution, Measures of location and spread, Combinations of normal random variables	Covered
MR11	Symmetry and points of inflection of the Normal curve	The normal distribution	Covered
MR12	Calculating Normal probabilities	The normal distribution	Covered
MR13	Modelling with probability distributions	The normal distribution, The binomial distribution, Conditional probability	Covered

ST-HYP Statistical hypothesis testing

10 of 11 covered in full, 1 with the gap named.

Ref	Specification statement	Taught in	Coverage
MH1	The process and language of hypothesis testing	Hypothesis testing with the binomial	Covered
MH2	One-tailed and two-tailed tests	Hypothesis testing with the binomial, Hypothesis testing: correlation and the normal	Covered
MH3	Inference from a sample and the significance level	Hypothesis testing with the binomial	Covered
MH4	Hypotheses for a binomial test	Hypothesis testing with the binomial	Covered
MH5	Conducting a binomial test and concluding in context	Hypothesis testing with the binomial	Covered
MH6	Critical and acceptance regions for a binomial test	Hypothesis testing with the binomial	Covered
MH7	The distribution of the sample mean	Hypothesis testing: correlation and the normal, The Central Limit Theorem	Covered
MH8	Testing a single mean with the Normal distribution	Hypothesis testing: correlation and the normal, The Central Limit Theorem	Covered except: Only the first of MEI's two situations is taught. Every worked test uses a population variance the question supplies; no lesson carries out a mean test in the second situation the Notes cell allows, where the population variance is unknown and the sample is large enough for the sample's own standard deviation to stand in for it, and no lesson states that substitution or the condition under which it is safe.
MH9	Critical and acceptance regions for a mean test	Hypothesis testing: correlation and the normal	Covered
MH10	Correlation and rank correlation as measures	Correlation and regression, Correlation coefficients: product moment and Spearman	Covered
MH11	Inference from a given correlation coefficient	Hypothesis testing: correlation and the normal, Testing a correlation coefficient, Hypothesis testing with the binomial, Correlation and regression	Covered

ME-MODEL Models and quantities

5 of 5 covered in full.

Ref	Specification statement	Taught in	Coverage
Mp31	The language of simplifying assumptions	Modelling, quantities and units, Connected particles and pulleys, Log graphs and exponential models	Covered
Mp32	The particle model	Modelling, quantities and units, Forces and Newton's laws	Covered
Mp33	Fundamental quantities and units	Modelling, quantities and units	Covered
Mp34	Derived quantities and units	Modelling, quantities and units, Forces and Newton's laws	Covered
Mp35	The unit of moment	Moments	Covered

ME-KIN1 Kinematics in 1 dimension

8 of 8 covered in full.

Ref	Specification statement	Taught in	Coverage
Mk1	The language of kinematics	Modelling, quantities and units, Kinematics with constant acceleration, Kinematics with variable acceleration	Covered
Mk2	Position, displacement, distance and distance travelled	Kinematics with variable acceleration, Kinematics with constant acceleration	Covered
Mk3	Velocity against speed, acceleration against its magnitude	Modelling, quantities and units, Kinematics with variable acceleration	Covered
Mk4	Kinematics graphs	Kinematics with constant acceleration	Covered
Mk5	Differentiating position and velocity	Kinematics with variable acceleration	Covered
Mk6	Integrating acceleration and velocity	Kinematics with variable acceleration	Covered
Mk7	When the constant acceleration formulae apply	Kinematics with constant acceleration, Kinematics with variable acceleration	Covered
Mk8	Solving straight-line kinematics problems	Kinematics with constant acceleration, Kinematics with variable acceleration	Covered

ME-KIN2 Kinematics in 2 dimensions (A-level only)

2 of 4 covered in full, 2 with the gap named.

Ref	Specification statement	Taught in	Coverage
Mk9	The language of kinematics in two dimensions	Kinematics with variable acceleration, Vectors in two dimensions, Kinematics with constant acceleration	Covered except: The board's term relative position is never used and the idea is never brought into kinematics. The vectors lesson does teach the displacement from one point to another as the difference of their position vectors, but no lesson names that as the position of one body relative to another or applies it to two bodies in motion, so a candidate meeting the phrase in a question has to guess that it means the subtraction they already know.
Mk10	Extending one-dimensional techniques with vectors	Kinematics with variable acceleration, Kinematics with constant acceleration, Projectiles	Covered
Mk11	The cartesian equation of a path	Projectiles, Parametric equations	Covered
Mk12	Vectors in kinematics problems	Kinematics with variable acceleration, Projectiles, Kinematics with constant acceleration, Vectors in two dimensions	Covered except: The two-body problem MEI's note prescribes is not worked anywhere. No lesson takes the positions of two particles as functions of time and forms the position of one relative to the other, so the questions this row is set up for, how far apart two bodies are at a given time and whether they meet, have no worked model in the library even though every piece of the method is taught separately.

ME-PROJ Projectiles (A-level only)

5 of 5 covered in full.

Ref	Specification statement	Taught in	Coverage
My1	Modelling motion under gravity with vectors	Projectiles, Kinematics with constant acceleration	Covered
My2	Position, velocity, range and greatest height	Projectiles	Covered
My3	Finding the initial velocity	Projectiles	Covered
My4	The equation of the trajectory	Projectiles, Parametric equations	Covered
My5	Solving projectile problems	Projectiles	Covered

ME-FORCE Forces

9 of 12 covered in full, 3 with the gap named.

Ref	Specification statement	Taught in	Coverage
MF1	The language of forces	Forces and Newton's laws, Friction and inclined planes, Connected particles and pulleys	Covered
MF2	Gravitational acceleration	Modelling, quantities and units, Kinematics with constant acceleration, Projectiles	Covered except: The first sentence of the row is not taught. No lesson says that the acceleration due to gravity is not a universal constant or that it depends on where in the universe the body is; the lessons introduce the standard value as a value to use and treat its constancy as a modelling assumption without saying what the assumption is an approximation to.
MF3	Force diagrams, external and internal forces	Forces and Newton's laws, Connected particles and pulleys	Covered
MF4	Resultant of concurrent forces in simple cases	Forces and Newton's laws, Statics of a particle	Covered
MF5	Equilibrium of a particle in simple cases	Forces and Newton's laws, Statics of a particle, Connected particles and pulleys	Covered
MF6	Resolving forces and adding components	Friction and inclined planes, Statics of a particle, Forces and Newton's laws	Covered
MF7	Equilibrium as a zero resultant	Statics of a particle, Forces and Newton's laws, Friction and inclined planes	Covered
MF8	Forces in equilibrium as a closed figure	Statics of a particle, Vectors in two dimensions, Forces and Newton's laws	Covered except: The second sentence of the row is not taught. No lesson draws the force vectors nose to tail to show that a set of forces in equilibrium closes into a figure, and none states that a closed figure is what represents their addition, so the geometric picture behind this row exists in the library only for vectors in the abstract and is never carried across to forces.
MF9	Solving equilibrium problems by resolving or by a polygon	Statics of a particle, Friction and inclined planes, Connected particles and pulleys	Covered except: Only one of the two methods the row names is taught. No lesson draws or uses a polygon of forces, and the triangle of forces MEI gives as its example, where three forces in equilibrium form a closed triangle that can be solved with the sine or cosine rule, appears nowhere, so a question that asks for that method by name cannot be answered from the library.
MF10	The contact force and its two components	Friction and inclined planes, Forces and Newton's laws	Covered
MF11	Modelling friction	Friction and inclined planes, Statics of a particle, Connected particles and pulleys	Covered
MF12	Newton's laws with friction	Friction and inclined planes, Connected particles and pulleys, Statics of a particle	Covered

ME-NEWTON Newton's laws of motion

7 of 7 covered in full.

Ref	Specification statement	Taught in	Coverage
Mn1	Newton's three laws	Forces and Newton's laws, Connected particles and pulleys, Statics of a particle	Covered
Mn2	The equation of motion	Forces and Newton's laws	Covered
Mn3	The equation of motion in simple cases	Forces and Newton's laws, Kinematics with constant acceleration, Friction and inclined planes	Covered
Mn4	Modelling a system of connected particles	Connected particles and pulleys	Covered
Mn5	Equations of motion for the individual particles	Connected particles and pulleys, Friction and inclined planes	Covered
Mn6	A rigid system modelled as one particle	Connected particles and pulleys	Covered
Mn7	The equation of motion in a plane	Forces and Newton's laws, Kinematics with variable acceleration, Projectiles	Covered

ME-RIGID Rigid bodies (A-level only)

4 of 4 covered in full.

Ref	Specification statement	Taught in	Coverage
MF13	The moment of a force about a point	Moments	Covered
MF14	Equilibrium of a rigid body	Moments	Covered
MF15	The turning effect of a system of forces	Moments	Covered
MF16	Weight acting through a single point	Moments, Modelling, quantities and units	Covered

Board names, qualification codes and the short statement labels are used to identify where content sits in each specification, and no specification text is reproduced here. InkMaths is independent and is not endorsed by an awarding organisation. Report a mismatch from the relevant lesson page.