Maths › Practise › Questions › OCR Maths A H240
OCR A-level Maths A questions by topic
Original topic questions for OCR A-level Maths A (H240), set out under the sections of OCR's Mathematics A specification from Proof to Moments, 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 Further Maths A · OCR MEI A-level Maths · every topic, by unit
1.01 Proof90 questions6 topics
- The structure of proof: deduction and exhaustion15 questions · 54 marks · 1.01a, 1.01b · PDF, 74 KB
- Polynomials and the factor theorem15 questions · 56 marks · 1.01b · PDF, 54 KB
- Logarithms and their laws15 questions · 53 marks · 1.01b · PDF, 73 KB
- Disproof and proof by contradiction15 questions · 51 marks · 1.01c, 1.01d · PDF, 51 KB
- Indices and surds15 questions · 52 marks · 1.01c · PDF, 50 KB
- The general binomial expansion15 questions · 70 marks · 1.01c · PDF, 56 KB
1.02 Algebra and functions214 questions14 topics
- Indices and surds15 questions · 52 marks · 1.02a, 1.02b, 1.02f · PDF, 50 KB
- Simultaneous equations and inequalities15 questions · 60 marks · 1.02c, 1.02g, 1.02h, 1.02i and 2 more · PDF, 53 KB
- Quadratic functions15 questions · 56 marks · 1.02d, 1.02e, 1.02f, 1.02h and 2 more · PDF, 54 KB
- Polynomials and the factor theorem15 questions · 56 marks · 1.02j, 1.02k · PDF, 54 KB
- Integrating rational functions15 questions · 62 marks · 1.02k, 1.02y · PDF, 73 KB
- Functions, inverses and the modulus15 questions · 52 marks · 1.02l, 1.02q, 1.02s, 1.02t and 2 more · PDF, 52 KB
- Graphs, proportion and transformations16 questions · 64 marks · 1.02m, 1.02n, 1.02o, 1.02p and 4 more · PDF, 63 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · 1.02m, 1.02n · PDF, 87 KB
- Trigonometric graphs and equations16 questions · 63 marks · 1.02q · PDF, 80 KB
- Partial fractions15 questions · 60 marks · 1.02y · PDF, 52 KB
- The general binomial expansion15 questions · 70 marks · 1.02y · PDF, 56 KB
- Functions in modelling15 questions · 55 marks · 1.02z · PDF, 57 KB
- Trigonometric modelling15 questions · 57 marks · 1.02z · PDF, 56 KB
- Log graphs and exponential models16 questions · 65 marks · 1.02z · PDF, 83 KB
1.03 Coordinate geometry in the x-y plane60 questions4 topics
- Straight lines15 questions · 56 marks · 1.03a, 1.03b, 1.03c · PDF, 54 KB
- Circles15 questions · 56 marks · 1.03a, 1.03d, 1.03e, 1.03f · PDF, 54 KB
- Parametric equations15 questions · 56 marks · 1.03g, 1.03h · PDF, 76 KB
- Implicit and parametric differentiation15 questions · 62 marks · 1.03h · PDF, 56 KB
1.03 Coordinate geometry in the x-y plane on the specification map
1.04 Sequences and series105 questions7 topics
- The binomial expansion15 questions · 55 marks · 1.04a, 1.04b · PDF, 54 KB
- The binomial distribution15 questions · 52 marks · 1.04b · PDF, 54 KB
- The general binomial expansion15 questions · 70 marks · 1.04c, 1.04d · PDF, 56 KB
- Sequences and sigma notation15 questions · 57 marks · 1.04e, 1.04f, 1.04g · PDF, 74 KB
- Geometric series15 questions · 59 marks · 1.04f, 1.04i, 1.04j, 1.04k · PDF, 55 KB
- Arithmetic series15 questions · 57 marks · 1.04g, 1.04h, 1.04k · PDF, 75 KB
- Logarithms and their laws15 questions · 53 marks · 1.04k · PDF, 73 KB
1.05 Trigonometry197 questions13 topics
- Trigonometric graphs and equations16 questions · 63 marks · 1.05a, 1.05f, 1.05g, 1.05j and 1 more · PDF, 80 KB
- Triangles and the sine and cosine rules15 questions · 57 marks · 1.05b, 1.05c · PDF, 55 KB
- Vectors in two dimensions15 questions · 56 marks · 1.05b, 1.05q · PDF, 74 KB
- Radians, arcs and small angles15 questions · 51 marks · 1.05d, 1.05e, 1.05g · PDF, 75 KB
- Reciprocal and inverse trigonometric functions15 questions · 56 marks · 1.05g, 1.05h, 1.05i, 1.05k and 2 more · PDF, 75 KB
- Integrating standard functions15 questions · 56 marks · 1.05k, 1.05l · PDF, 52 KB
- Compound angles and the harmonic form15 questions · 62 marks · 1.05l, 1.05m, 1.05n, 1.05o and 1 more · PDF, 75 KB
- The product, quotient and chain rules15 questions · 54 marks · 1.05l · PDF, 74 KB
- Trigonometric modelling15 questions · 57 marks · 1.05n, 1.05q · PDF, 56 KB
- Forces and Newton's laws15 questions · 59 marks · 1.05q · PDF, 78 KB
- Projectiles15 questions · 59 marks · 1.05q · PDF, 77 KB
- Friction and inclined planes16 questions · 73 marks · 1.05q · PDF, 84 KB
- Statics of a particle15 questions · 68 marks · 1.05q · PDF, 77 KB
1.06 Exponentials and logarithms89 questions6 topics
- Exponential functions and e15 questions · 52 marks · 1.06a, 1.06b, 1.06i · PDF, 56 KB
- Logarithms and their laws15 questions · 53 marks · 1.06c, 1.06d, 1.06e, 1.06f and 1 more · PDF, 73 KB
- Solving differential equations12 questions · 56 marks · 1.06e, 1.06i · PDF, 51 KB
- Log graphs and exponential models16 questions · 65 marks · 1.06h, 1.06i · PDF, 83 KB
- Correlation and regression16 questions · 57 marks · 1.06h · PDF, 61 KB
- Functions in modelling15 questions · 55 marks · 1.06i · PDF, 57 KB
1.07 Differentiation106 questions7 topics
- The derivative from first principles15 questions · 60 marks · 1.07a, 1.07b, 1.07c, 1.07d and 3 more · PDF, 78 KB
- Rates of change and building differential equations15 questions · 59 marks · 1.07b, 1.07r, 1.07t · PDF, 81 KB
- Tangents, turning points and curve behaviour16 questions · 74 marks · 1.07e, 1.07f, 1.07m, 1.07n and 2 more · PDF, 87 KB
- Differentiating trig, exponentials and logs15 questions · 54 marks · 1.07h, 1.07j, 1.07k, 1.07l and 1 more · PDF, 75 KB
- Differentiating powers of x15 questions · 52 marks · 1.07i · PDF, 74 KB
- The product, quotient and chain rules15 questions · 54 marks · 1.07l, 1.07q, 1.07r · PDF, 74 KB
- Implicit and parametric differentiation15 questions · 62 marks · 1.07m, 1.07r, 1.07s · PDF, 56 KB
1.08 Integration103 questions7 topics
- Integration as antidifferentiation15 questions · 56 marks · 1.08a, 1.08b · PDF, 75 KB
- Definite integrals and areas16 questions · 64 marks · 1.08a, 1.08d, 1.08e, 1.08f · PDF, 62 KB
- Integrating standard functions15 questions · 56 marks · 1.08c · PDF, 52 KB
- Areas, parametric curves and the limit of a sum15 questions · 69 marks · 1.08f, 1.08g · PDF, 78 KB
- Integration by substitution and by parts15 questions · 64 marks · 1.08h, 1.08i · PDF, 74 KB
- Integrating rational functions15 questions · 62 marks · 1.08j · PDF, 73 KB
- Solving differential equations12 questions · 56 marks · 1.08k, 1.08l · PDF, 51 KB
1.09 Numerical methods61 questions4 topics
- Locating roots and iteration15 questions · 51 marks · 1.09a, 1.09b, 1.09c, 1.09d and 2 more · PDF, 77 KB
- The Newton-Raphson method15 questions · 57 marks · 1.09d, 1.09e, 1.09g · PDF, 78 KB
- Areas, parametric curves and the limit of a sum15 questions · 69 marks · 1.09f · PDF, 78 KB
- The trapezium rule16 questions · 68 marks · 1.09f, 1.09g · PDF, 87 KB
1.10 Vectors75 questions5 topics
- Vectors in two dimensions15 questions · 56 marks · 1.10a, 1.10c, 1.10d, 1.10e and 3 more · PDF, 74 KB
- Vectors in three dimensions15 questions · 57 marks · 1.10b, 1.10e, 1.10f, 1.10g · PDF, 73 KB
- Forces and Newton's laws15 questions · 59 marks · 1.10g · PDF, 78 KB
- Statics of a particle15 questions · 68 marks · 1.10g · PDF, 77 KB
- Kinematics with variable acceleration15 questions · 66 marks · 1.10h · PDF, 80 KB
2.01 Statistical sampling31 questions2 topics
- Sampling and the large data set15 questions · 52 marks · 2.01a, 2.01b, 2.01c, 2.01d · PDF, 54 KB
- Hypothesis testing with the binomial16 questions · 67 marks · 2.01b · PDF, 61 KB
2.02 Data presentation and interpretation78 questions5 topics
- Measures of location and spread16 questions · 59 marks · 2.02a, 2.02f, 2.02g · PDF, 82 KB
- Representing and interpreting data16 questions · 59 marks · 2.02a, 2.02b, 2.02h, 2.02i and 1 more · PDF, 62 KB
- The normal distribution15 questions · 56 marks · 2.02b · PDF, 75 KB
- Correlation and regression16 questions · 57 marks · 2.02c, 2.02d, 2.02e · PDF, 61 KB
- Sampling and the large data set15 questions · 52 marks · 2.02j · PDF, 54 KB
2.02 Data presentation and interpretation on the specification map
2.03 Probability60 questions4 topics
- Probability and Venn diagrams15 questions · 56 marks · 2.03a, 2.03b, 2.03c · PDF, 75 KB
- The binomial distribution15 questions · 52 marks · 2.03a, 2.03e · PDF, 54 KB
- The normal distribution15 questions · 56 marks · 2.03a · PDF, 75 KB
- Conditional probability15 questions · 52 marks · 2.03b, 2.03c, 2.03d, 2.03e · PDF, 75 KB
2.04 Statistical distributions30 questions2 topics
- The binomial distribution15 questions · 52 marks · 2.04a, 2.04b, 2.04c, 2.04h · PDF, 54 KB
- The normal distribution15 questions · 56 marks · 2.04d, 2.04e, 2.04f, 2.04g and 1 more · PDF, 75 KB
2.05 Statistical hypothesis testing47 questions3 topics
- Hypothesis testing with the binomial16 questions · 67 marks · 2.05a, 2.05b, 2.05c · PDF, 61 KB
- Hypothesis testing: correlation and the normal15 questions · 61 marks · 2.05d, 2.05e, 2.05g · PDF, 82 KB
- Correlation and regression16 questions · 57 marks · 2.05f · PDF, 61 KB
2.05 Statistical hypothesis testing on the specification map
3.01 Quantities and units in mechanics46 questions3 topics
- Modelling, quantities and units15 questions · 51 marks · 3.01a, 3.01b · PDF, 76 KB
- Forces and Newton's laws15 questions · 59 marks · 3.01b · PDF, 78 KB
- Moments16 questions · 69 marks · 3.01c · PDF, 83 KB
3.01 Quantities and units in mechanics on the specification map
3.02 Kinematics76 questions5 topics
- Modelling, quantities and units15 questions · 51 marks · 3.02a · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · 3.02a, 3.02b, 3.02c, 3.02d and 2 more · PDF, 83 KB
- Kinematics with variable acceleration15 questions · 66 marks · 3.02a, 3.02f, 3.02g · PDF, 80 KB
- Projectiles15 questions · 59 marks · 3.02d, 3.02e, 3.02h, 3.02i · PDF, 77 KB
- Parametric equations15 questions · 56 marks · 3.02i · PDF, 76 KB
3.03 Forces and Newton's laws138 questions9 topics
- Forces and Newton's laws15 questions · 59 marks · 3.03a, 3.03b, 3.03c, 3.03d and 8 more · PDF, 78 KB
- Statics of a particle15 questions · 68 marks · 3.03b, 3.03l, 3.03m, 3.03n and 5 more · PDF, 77 KB
- Friction and inclined planes16 questions · 73 marks · 3.03e, 3.03i, 3.03j, 3.03l and 7 more · PDF, 84 KB
- Modelling, quantities and units15 questions · 51 marks · 3.03f, 3.03g, 3.03j · PDF, 76 KB
- Kinematics with constant acceleration16 questions · 70 marks · 3.03f, 3.03g · PDF, 83 KB
- Connected particles and pulleys15 questions · 64 marks · 3.03h, 3.03j, 3.03k, 3.03l and 3 more · PDF, 79 KB
- Moments16 questions · 69 marks · 3.03i · PDF, 83 KB
- Projectiles15 questions · 59 marks · 3.03p · PDF, 77 KB
- Kinematics with variable acceleration15 questions · 66 marks · 3.03q · PDF, 80 KB
3.04 Moments16 questions1 topic
- Moments16 questions · 69 marks · 3.04a, 3.04b, 3.04c · PDF, 83 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 H240 specification map lists every statement, with the lesson that teaches it.