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OCR MEI A-level Maths questions by topic
Original topic questions for OCR MEI A-level Maths (H640), set out under the sections of OCR's Mathematics B (MEI) specification from Proof to Rigid bodies, in the order it prints them. Every question has a worked solution, and every set comes as a printable PDF.
Other specifications: Edexcel A-level Maths · Edexcel A-level Further Maths · AQA A-level Maths · AQA A-level Further Maths · OCR A-level Maths A · OCR A-level Further Maths A · every topic, by unit
Proof60 questions4 topics
- The structure of proof: deduction and exhaustion15 questions · 54 marks · Mp1 · PDF, 74 KB
- Disproof and proof by contradiction15 questions · 51 marks · Mp2, Mp3 · PDF, 51 KB
- Indices and surds15 questions · 52 marks · Mp2 · PDF, 50 KB
- The general binomial expansion15 questions · 70 marks · Mp2 · PDF, 56 KB
Algebra182 questions12 topics
- Quadratic functions15 questions · 56 marks · Ma1, AKa1, Ma2, Ma3 and 2 more · PDF, 54 KB
- Simultaneous equations and inequalities15 questions · 60 marks · Ma1, AKa1, Ma4, Ma5 and 4 more · PDF, 53 KB
- Polynomials and the factor theorem15 questions · 56 marks · Ma1, Ma16 · PDF, 54 KB
- Functions, inverses and the modulus15 questions · 52 marks · Ma1, Ma6 · PDF, 52 KB
- Indices and surds15 questions · 52 marks · AKa2, Ma2, Ma10, Ma11 and 2 more · PDF, 50 KB
- Logarithms and their laws15 questions · 53 marks · AKa2 · PDF, 73 KB
- Rates of change and building differential equations15 questions · 59 marks · AKa2 · PDF, 81 KB
- Graphs, proportion and transformations16 questions · 64 marks · Ma6, Ma14 · PDF, 63 KB
- Trigonometric graphs and equations16 questions · 63 marks · Ma6 · PDF, 80 KB
- Partial fractions15 questions · 60 marks · Ma15 · PDF, 52 KB
- The general binomial expansion15 questions · 70 marks · Ma15 · PDF, 56 KB
- Integrating rational functions15 questions · 62 marks · Ma15, Ma16 · PDF, 73 KB
Functions106 questions7 topics
- Polynomials and the factor theorem15 questions · 56 marks · Mf1, Mf2 · PDF, 54 KB
- Functions, inverses and the modulus15 questions · 52 marks · Mf3, Mf4, Mf5, Mf6 and 1 more · PDF, 52 KB
- Reciprocal and inverse trigonometric functions15 questions · 56 marks · Mf5 · PDF, 75 KB
- Logarithms and their laws15 questions · 53 marks · Mf5 · PDF, 73 KB
- Functions in modelling15 questions · 55 marks · Mf8 · PDF, 57 KB
- Trigonometric modelling15 questions · 57 marks · Mf8 · PDF, 56 KB
- Log graphs and exponential models16 questions · 65 marks · Mf8 · PDF, 83 KB
Graphs93 questions6 topics
- Quadratic functions15 questions · 56 marks · MC1, MC2, MC3 · PDF, 54 KB
- Graphs, proportion and transformations16 questions · 64 marks · MC1, MC2, MC4, MC6 and 2 more · PDF, 63 KB
- Trigonometric graphs and equations16 questions · 63 marks · MC1, MC8 · PDF, 80 KB
- Exponential functions and e15 questions · 52 marks · MC1, MC8 · PDF, 56 KB
- Polynomials and the factor theorem15 questions · 56 marks · MC2, MC4 · PDF, 54 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · MC5, MC9 · PDF, 87 KB
Coordinate geometry151 questions10 topics
- Straight lines15 questions · 56 marks · AKg1, Mg1, Mg2, Mg3 and 4 more · PDF, 54 KB
- Circles15 questions · 56 marks · Mg2, Mg9, Mg10, Mg11 and 1 more · PDF, 54 KB
- Vectors in two dimensions15 questions · 56 marks · Mg2, Mg3 · PDF, 74 KB
- Simultaneous equations and inequalities15 questions · 60 marks · Mg6, Mg8 · PDF, 53 KB
- Functions in modelling15 questions · 55 marks · Mg7 · PDF, 57 KB
- Correlation and regression16 questions · 57 marks · Mg7 · PDF, 61 KB
- Quadratic functions15 questions · 56 marks · Mg8 · PDF, 54 KB
- Parametric equations15 questions · 56 marks · Mg12, Mg13, Mg14, Mg16 · PDF, 76 KB
- Implicit and parametric differentiation15 questions · 62 marks · Mg15 · PDF, 56 KB
- Projectiles15 questions · 59 marks · Mg16 · PDF, 77 KB
Sequences and series136 questions9 topics
- The binomial expansion15 questions · 55 marks · Ms1, Ms2 · PDF, 54 KB
- The binomial distribution15 questions · 52 marks · Ms2 · PDF, 54 KB
- The general binomial expansion15 questions · 70 marks · Ms3, Ms4, Ms5 · PDF, 56 KB
- Sequences and sigma notation15 questions · 57 marks · Ms6, Ms7, Ms8, Ms9 and 2 more · PDF, 74 KB
- Arithmetic series15 questions · 57 marks · Ms8, Ms9, Ms12, Ms13 and 1 more · PDF, 75 KB
- Geometric series15 questions · 59 marks · Ms8, Ms11, Ms14, Ms15 and 2 more · PDF, 55 KB
- Locating roots and iteration15 questions · 51 marks · Ms11 · PDF, 77 KB
- Logarithms and their laws15 questions · 53 marks · Ms15 · PDF, 73 KB
- Log graphs and exponential models16 questions · 65 marks · Ms17 · PDF, 83 KB
Trigonometry213 questions14 topics
- Triangles and the sine and cosine rules15 questions · 57 marks · AKt1, Mt3, Mt4 · PDF, 55 KB
- Vectors in two dimensions15 questions · 56 marks · AKt1, Mt21 · PDF, 74 KB
- Projectiles15 questions · 59 marks · AKt1, Mt21 · PDF, 77 KB
- Trigonometric graphs and equations16 questions · 63 marks · Mt1, Mt2, AKt2, Mt5 and 4 more · PDF, 80 KB
- Graphs, proportion and transformations16 questions · 64 marks · Mt2 · PDF, 63 KB
- Radians, arcs and small angles15 questions · 51 marks · AKt2, Mt8, Mt10, Mt11 and 1 more · PDF, 75 KB
- Reciprocal and inverse trigonometric functions15 questions · 56 marks · Mt7, Mt8, Mt9, Mt13 and 4 more · PDF, 75 KB
- Integrating standard functions15 questions · 56 marks · Mt15, Mt17 · PDF, 52 KB
- Compound angles and the harmonic form15 questions · 62 marks · Mt16, Mt17, Mt18, Mt19 and 1 more · PDF, 75 KB
- The product, quotient and chain rules15 questions · 54 marks · Mt17 · PDF, 74 KB
- Trigonometric modelling15 questions · 57 marks · Mt18, Mt21 · PDF, 56 KB
- Forces and Newton's laws15 questions · 59 marks · Mt21 · PDF, 78 KB
- Friction and inclined planes16 questions · 73 marks · Mt21 · PDF, 84 KB
- Statics of a particle15 questions · 68 marks · Mt21 · PDF, 77 KB
Exponentials and logarithms119 questions8 topics
- Exponential functions and e15 questions · 52 marks · ME1, ME8, ME9, ME11 · PDF, 56 KB
- Logarithms and their laws15 questions · 53 marks · ME2, ME3, ME4, ME5 and 2 more · PDF, 73 KB
- Functions, inverses and the modulus15 questions · 52 marks · ME3 · PDF, 52 KB
- Log graphs and exponential models16 questions · 65 marks · ME7, ME11 · PDF, 83 KB
- Correlation and regression16 questions · 57 marks · ME7 · PDF, 61 KB
- Differentiating trig, exponentials and logs15 questions · 54 marks · ME9 · PDF, 75 KB
- Solving differential equations12 questions · 56 marks · ME9, ME10, ME11 · PDF, 51 KB
- Functions in modelling15 questions · 55 marks · ME11 · PDF, 57 KB
Calculus240 questions16 topics
- The derivative from first principles15 questions · 60 marks · Mc1, Mc2, Mc3, Mc4 and 3 more · PDF, 78 KB
- Rates of change and building differential equations15 questions · 59 marks · Mc3, Mc15, Mc31 · PDF, 81 KB
- Differentiating powers of x15 questions · 52 marks · Mc5 · PDF, 74 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · Mc6, Mc7, Mc8, Mc9 and 2 more · PDF, 87 KB
- Differentiating trig, exponentials and logs15 questions · 54 marks · Mc10, Mc11 · PDF, 75 KB
- The product, quotient and chain rules15 questions · 54 marks · Mc10, Mc12, Mc13, Mc14 and 1 more · PDF, 74 KB
- Implicit and parametric differentiation15 questions · 62 marks · Mc15, Mc16 · PDF, 56 KB
- The trapezium rule16 questions · 68 marks · Mc17 · PDF, 87 KB
- Integration as antidifferentiation15 questions · 56 marks · Mc19, Mc20, Mc21, Mc22 · PDF, 75 KB
- Definite integrals and areas16 questions · 64 marks · Mc19, Mc22, Mc23, Mc26 · PDF, 62 KB
- Solving differential equations12 questions · 56 marks · Mc21, Mc32, Mc33 · PDF, 51 KB
- Areas, parametric curves and the limit of a sum15 questions · 69 marks · Mc23, Mc25, Mc26 · PDF, 78 KB
- Integrating standard functions15 questions · 56 marks · Mc24 · PDF, 52 KB
- Integrating rational functions15 questions · 62 marks · Mc24, Mc30 · PDF, 73 KB
- Integration by substitution and by parts15 questions · 64 marks · Mc27, Mc28, Mc29 · PDF, 74 KB
- Partial fractions15 questions · 60 marks · Mc30 · PDF, 52 KB
Numerical methods61 questions4 topics
- Locating roots and iteration15 questions · 51 marks · Me1, Me2, Me3, Me4 and 2 more · PDF, 77 KB
- The Newton-Raphson method15 questions · 57 marks · Me4, Me5, Me6 · PDF, 78 KB
- The trapezium rule16 questions · 68 marks · Mc34, Mc35, Me6 · PDF, 87 KB
- Areas, parametric curves and the limit of a sum15 questions · 69 marks · Mc35 · PDF, 78 KB
Vectors75 questions5 topics
- Vectors in two dimensions15 questions · 56 marks · Mv1, Mv2, Mv3, Mv4 and 3 more · PDF, 74 KB
- Vectors in three dimensions15 questions · 57 marks · Mv4, Mv5, Mv7 · PDF, 73 KB
- Kinematics with variable acceleration15 questions · 66 marks · Mv6 · PDF, 80 KB
- Forces and Newton's laws15 questions · 59 marks · Mv6 · PDF, 78 KB
- Statics of a particle15 questions · 68 marks · Mv6 · PDF, 77 KB
Sampling31 questions2 topics
- Sampling and the large data set15 questions · 52 marks · Mp21, Mp22, Mp23, Mp24 and 1 more · PDF, 54 KB
- Hypothesis testing with the binomial16 questions · 67 marks · Mp22 · PDF, 61 KB
Data presentation and interpretation78 questions5 topics
- Measures of location and spread16 questions · 59 marks · MD1, MD10, MD11, MD12 · PDF, 82 KB
- Representing and interpreting data16 questions · 59 marks · MD1, MD2, MD3, MD4 and 6 more · PDF, 62 KB
- The normal distribution15 questions · 56 marks · MD2, MD5 · PDF, 75 KB
- Sampling and the large data set15 questions · 52 marks · MD5, MD14 · PDF, 54 KB
- Correlation and regression16 questions · 57 marks · MD6, MD7, MD8, MD9 · PDF, 61 KB
Data presentation and interpretation on the specification map
Probability45 questions3 topics
- Probability and Venn diagrams15 questions · 56 marks · AKu1, AKu2, AKu3, AKu4 and 6 more · PDF, 75 KB
- Conditional probability15 questions · 52 marks · AKu1, AKu4, Mu3, Mu4 and 2 more · PDF, 75 KB
- The binomial distribution15 questions · 52 marks · AKu2, AKu3, Mu3 · PDF, 54 KB
Probability distributions61 questions4 topics
- The binomial distribution15 questions · 52 marks · MR1, MR2, MR3, MR4 and 4 more · PDF, 54 KB
- The normal distribution15 questions · 56 marks · MR4, MR8, MR9, MR10 and 3 more · PDF, 75 KB
- Measures of location and spread16 questions · 59 marks · MR10 · PDF, 82 KB
- Conditional probability15 questions · 52 marks · MR13 · PDF, 75 KB
Statistical hypothesis testing62 questions4 topics
- Hypothesis testing with the binomial16 questions · 67 marks · MH1, MH2, MH3, MH4 and 3 more · PDF, 61 KB
- Hypothesis testing: correlation and the normal15 questions · 61 marks · MH2, MH7, MH8, MH9 and 1 more · PDF, 82 KB
- Correlation and regression16 questions · 57 marks · MH10, MH11 · PDF, 61 KB
- Testing a correlation coefficient15 questions · 63 marks · MH11 · PDF, 79 KB
Models and quantities77 questions5 topics
- Log graphs and exponential models16 questions · 65 marks · Mp31 · PDF, 83 KB
- Modelling, quantities and units15 questions · 51 marks · Mp31, Mp32, Mp33, Mp34 · PDF, 76 KB
- Connected particles and pulleys15 questions · 64 marks · Mp31 · PDF, 79 KB
- Forces and Newton's laws15 questions · 59 marks · Mp32, Mp34 · PDF, 78 KB
- Moments16 questions · 69 marks · Mp35 · PDF, 83 KB
Kinematics in 1 dimension46 questions3 topics
- Modelling, quantities and units15 questions · 51 marks · Mk1, Mk3 · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · Mk1, Mk2, Mk4, Mk7 and 1 more · PDF, 83 KB
- Kinematics with variable acceleration15 questions · 66 marks · Mk1, Mk2, Mk3, Mk5 and 3 more · PDF, 80 KB
Kinematics in 2 dimensions76 questions5 topics
- Vectors in two dimensions15 questions · 56 marks · Mk9, Mk12 · PDF, 74 KB
- Kinematics with constant acceleration16 questions · 70 marks · Mk9, Mk10, Mk12 · PDF, 83 KB
- Kinematics with variable acceleration15 questions · 66 marks · Mk9, Mk10, Mk12 · PDF, 80 KB
- Projectiles15 questions · 59 marks · Mk10, Mk11, Mk12 · PDF, 77 KB
- Parametric equations15 questions · 56 marks · Mk11 · PDF, 76 KB
Projectiles46 questions3 topics
- Kinematics with constant acceleration16 questions · 70 marks · My1 · PDF, 83 KB
- Projectiles15 questions · 59 marks · My1, My2, My3, My4 and 1 more · PDF, 77 KB
- Parametric equations15 questions · 56 marks · My4 · PDF, 76 KB
Forces122 questions8 topics
- Forces and Newton's laws15 questions · 59 marks · MF1, MF3, MF4, MF5 and 4 more · PDF, 78 KB
- Connected particles and pulleys15 questions · 64 marks · MF1, MF3, MF5, MF9 and 2 more · PDF, 79 KB
- Friction and inclined planes16 questions · 73 marks · MF1, MF6, MF7, MF9 and 3 more · PDF, 84 KB
- Modelling, quantities and units15 questions · 51 marks · MF2 · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · MF2 · PDF, 83 KB
- Projectiles15 questions · 59 marks · MF2 · PDF, 77 KB
- Statics of a particle15 questions · 68 marks · MF4, MF5, MF6, MF7 and 4 more · PDF, 77 KB
- Vectors in two dimensions15 questions · 56 marks · MF8 · PDF, 74 KB
Newton's laws of motion107 questions7 topics
- Forces and Newton's laws15 questions · 59 marks · Mn1, Mn2, Mn3, Mn7 · PDF, 78 KB
- Connected particles and pulleys15 questions · 64 marks · Mn1, Mn4, Mn5, Mn6 · PDF, 79 KB
- Statics of a particle15 questions · 68 marks · Mn1 · PDF, 77 KB
- Kinematics with constant acceleration16 questions · 70 marks · Mn3 · PDF, 83 KB
- Friction and inclined planes16 questions · 73 marks · Mn3, Mn5 · PDF, 84 KB
- Kinematics with variable acceleration15 questions · 66 marks · Mn7 · PDF, 80 KB
- Projectiles15 questions · 59 marks · Mn7 · PDF, 77 KB
Rigid bodies31 questions2 topics
- Moments16 questions · 69 marks · MF13, MF14, MF15, MF16 · PDF, 83 KB
- Modelling, quantities and units15 questions · 51 marks · MF16 · PDF, 76 KB
A topic is listed under every section its lesson teaches, so some appear more than once. The codes beside each one are the specification references it covers in that section.
All questions, worked solutions and marking guidance are original InkMaths material. They are not copied from awarding-body papers or mark schemes. The codes show how InkMaths allocates the stated total; an awarding body may credit a valid alternative method differently.
The sections and codes are OCR's. Check the current specification when a mark depends on it. The H640 specification map lists every statement, with the lesson that teaches it.