Specification points
OCR A-level Mathematics B (MEI) H640
288 points in 27 topics, with OCR's codes and titles.
Grade boundaries·OCR command words
Codes and titles are read by a script from OCR's published specification and have not been checked by a person. What each point covers is in the specification itself: OCR’s specification.
OT1 Mathematical argument, language and proof
OT2 Mathematical problem solving
- OT2.1 Recognising mathematical structure in problems
- OT2.2 Extended arguments for unstructured problems
- OT2.3 Interpreting solutions in context
- OT2.4 Numerical methods where analytic solution fails
- OT2.5 Evaluating accuracy and limitations of solutions
- OT2.6 The problem-solving cycle
- OT2.7 Using and constructing mathematical diagrams
OT3 Mathematical modelling
1 Pure mathematics: proof
2 Pure mathematics: algebra
- Ma1 Mathematical vocabulary and notation
- Ma2 Solving quadratic equations
- Ma3 The discriminant
- Ma4 Linear simultaneous equations
- Ma5 Simultaneous equations with one quadratic
- Ma6 Intersection points and solutions of equations
- Ma7 Linear inequalities
- Ma8 Quadratic inequalities
- Ma9 Expressing solutions of inequalities
- Ma10 Surds
- Ma11 Rationalising the denominator
- Ma12 Laws of indices
- Ma13 Negative, fractional and zero indices
- Ma14 Proportional relationships and graphs
- Ma15 Partial fractions
- Ma16 Simplifying rational expressions
3 Pure mathematics: functions
4 Pure mathematics: graphs
- MC1 Graphs of functions
- MC2 Intersections with the coordinate axes
- MC3 Completing the square for turning points
- MC4 Sketching graphs including polynomials
- MC5 Stationary points in curve sketching
- MC6 Sketching reciprocal graphs
- MC7 Graph transformations
- MC8 Combined transformations
- MC9 Stationary points of inflection
5 Pure mathematics: coordinate geometry
- Mg1 Gradients of parallel and perpendicular lines
- Mg2 Distance between two points
- Mg3 Midpoint of a line segment
- Mg4 Equation of a straight line
- Mg5 Drawing a line from its equation
- Mg6 Intersection of two lines
- Mg7 Straight-line models
- Mg8 Intersections of lines and curves
- Mg9 Intersection of a line and a circle
- Mg10 Equation of a circle
- Mg11 Circle properties
- Mg12 Parameters and parametric equations
- Mg13 Converting between cartesian and parametric forms
- Mg14 Parametric equation of a circle
- Mg15 Gradient of a parametric curve
- Mg16 Parametric equations in modelling
6 Pure mathematics: sequences and series
- Ms1 Binomial expansion for positive integer powers
- Ms2 Factorial and combinations notation
- Ms3 Binomial expansion for rational powers
- Ms4 Rewriting (a + bx)ⁿ for binomial expansion
- Ms5 Polynomial approximations by binomial expansion
- Ms6 Finite and infinite sequences
- Ms7 Generating sequences by formula or recurrence
- Ms8 Series as sums of sequences
- Ms9 Sigma notation
- Ms10 Increasing, decreasing and periodic sequences
- Ms11 Convergent and divergent sequences
- Ms12 Arithmetic sequences and series
- Ms13 Arithmetic series formulae
- Ms14 Geometric sequences and series
- Ms15 Geometric series formulae
- Ms16 Convergence and sum to infinity
- Ms17 Sequences and series in modelling
7 Pure mathematics: trigonometry
- Mt1 Sine, cosine and tangent of any angle
- Mt2 Graphs of sin, cos and tan
- Mt3 Area of a triangle using sine
- Mt4 Sine and cosine rules
- Mt5 Tan as sine over cosine
- Mt6 The identity sin² + cos² = 1
- Mt7 Solving trigonometric equations
- Mt8 Exact trigonometric values
- Mt9 Inverse trigonometric functions
- Mt10 Radians and degrees
- Mt11 Arc length and sector area
- Mt12 Small angle approximations
- Mt13 Sec, cosec and cot
- Mt14 Graphs of the six trigonometric functions
- Mt15 Identities with sec, cosec and cot
- Mt16 Compound angle identities
- Mt17 Double angle identities
- Mt18 Harmonic form: R sin(θ ± α)
- Mt19 Solving equations with trigonometric identities
- Mt20 Trigonometric proofs
- Mt21 Trigonometry in context
8 Pure mathematics: exponentials and logarithms
- ME1 Exponential functions and graphs
- ME2 Index and logarithm forms
- ME3 Logarithms as inverses of exponentials
- ME4 Laws of logarithms
- ME5 Logarithms of a and 1
- ME6 Solving aˣ = b
- ME7 Reducing equations to linear form
- ME8 The function eˣ and its graph
- ME9 Gradient of eᵏˣ and exponential models
- ME10 The function ln x and its graph
- ME11 Exponential growth and decay models
9 Pure mathematics: calculus
- Mc1 Gradient of a curve as gradient of the tangent
- Mc2 Gradient of a tangent as a limit of chords
- Mc3 The derivative as gradient function
- Mc4 Sketching the gradient function
- Mc5 Differentiating powers of x
- Mc6 Second derivative as rate of change of gradient
- Mc7 Stationary points: maxima and minima
- Mc8 Increasing and decreasing functions
- Mc9 Tangents and normals
- Mc10 Differentiating exponentials and logarithms
- Mc11 Differentiating trigonometric functions
- Mc12 The product rule
- Mc13 The quotient rule
- Mc14 The chain rule
- Mc15 Connected rates of change
- Mc16 Implicit differentiation
- Mc17 Concave and convex curves
- Mc18 Points of inflection
- Mc19 Integration as reverse of differentiation
- Mc20 Integrating powers of x
- Mc21 Constant of integration
- Mc22 Indefinite and definite integrals
- Mc23 Area between a graph and the x-axis
- Mc24 Integrating 1/x
- Mc25 Integration as the limit of a sum
- Mc26 Area between two curves
- Mc27 Integration by reverse chain rule substitution
- Mc28 Integration by substitution
- Mc29 Integration by parts
- Mc30 Integrating with partial fractions
- Mc31 Forming first order differential equations
- Mc32 Solving differential equations by separating variables
- Mc33 Interpreting solutions of differential equations
10 Pure mathematics: numerical methods
11 Pure mathematics: vectors
12 Statistics: sampling
13 Statistics: data presentation and interpretation
- MD1 Types of data and standard charts
- MD2 Histograms and frequency density
- MD3 Cumulative frequency diagrams
- MD4 Describing frequency distributions
- MD5 Samples and theoretical distributions
- MD6 Scatter diagrams and regression lines
- MD7 Distinct sections and outliers in scatter diagrams
- MD8 Correlation and causation
- MD9 Choosing data presentation techniques
- MD10 Measures of central tendency
- MD11 Measures of spread
- MD12 Variance and standard deviation
- MD13 Outliers
- MD14 Cleaning data
14 Statistics: probability
15 Statistics: probability distributions
- MR1 Situations giving a binomial distribution
- MR2 Probability of success p
- MR3 Binomial probabilities
- MR4 Mean of a binomial distribution
- MR5 Expected frequencies for binomial distributions
- MR6 Discrete random variables and probability functions
- MR7 Discrete uniform distribution
- MR8 The Normal distribution as a model
- MR9 Shape of the Normal curve
- MR10 Linear transformations of a Normal variable
- MR11 Symmetry and inflection points of the Normal curve
- MR12 Normal distribution probabilities
- MR13 Choosing binomial or Normal models
16 Statistics: statistical hypothesis testing
- MH1 Hypothesis testing process and language
- MH2 One-tail and two-tail tests
- MH3 Samples, inference and significance level
- MH4 Null and alternative hypotheses for binomial tests
- MH5 Conducting a hypothesis test and concluding
- MH6 Critical and acceptance regions for a binomial test
- MH7 Distribution of the sample mean
- MH8 Hypothesis test for a Normal mean
- MH9 Critical and acceptance regions for a Normal mean test
- MH10 Correlation and rank correlation
- MH11 Inference about correlation from a sample
17 Mechanics: models and quantities
18 Mechanics: kinematics in 1 dimension
19 Mechanics: kinematics in 2 dimensions
20 Mechanics: projectiles
21 Mechanics: forces
- MF1 Language of forces
- MF2 Gravity depending on location
- MF3 Force diagrams
- MF4 Resultant of concurrent forces
- MF5 Equilibrium as zero vector sum
- MF6 Resolving forces
- MF7 Equilibrium and zero resultant
- MF8 Closed force polygons in equilibrium
- MF9 Solving equilibrium problems
- MF10 Contact force: friction and normal reaction
- MF11 Friction model F ≤ μR
- MF12 Newton's laws with friction