Edexcel A-level Maths Year 13 revision

Topic 1: Proof by contradiction

It builds on what you learned at AS in Proof, and takes it further.

We will go through it step by step.

1. 1.1Proof by contradiction13 questions

Topic 2: Functions, modulus and partial fractions

It builds on what you learned at AS in Algebra and functions, and takes it further.

There are 4 parts: we start with proof, functions and partial fractions, and finish with partial fractions.

1. 2.1Proof, functions and partial fractionsFree 26 questions
2. 2.2Modulus functions: graphs, equations and inequalities44 questions
3. 2.3Composite and inverse functions, domain and range69 questions
4. 2.4Partial fractions: linear factors, repeated factors and improper fractions37 questions

Topic 3: Parametric equations

It builds on what you learned at AS in Coordinate geometry in the (x, y) plane, and takes it further.

There are 2 parts: we start with parametric equations, and finish with differentiating and integrating parametric equations.

1. 3.1Parametric equations: converting to Cartesian form and sketching curves26 questions
2. 3.2Differentiating and integrating parametric equations54 questions

Topic 4: Sequences and series

It builds on what you learned at AS in Sequences and series: binomial expansion, and takes it further.

There are 5 parts: we start with sequences, series and binomial expansion, and finish with binomial expansion for any rational power, and when it is valid.

1. 4.1Sequences, series and binomial expansionFree 69 questions
2. 4.2Arithmetic sequences and series53 questions
3. 4.3Geometric sequences, series and the sum to infinity53 questions
4. 4.4Sigma notation, recurrence relations and types of sequence57 questions
5. 4.5Binomial expansion for any rational power, and when it is valid44 questions

Topic 5: Radians and further trigonometry

It builds on what you learned at AS in Trigonometry, and takes it further.

There are 4 parts: we start with radians, trigonometry and parametric equations, and finish with addition and double-angle formulae, and the R sin(x+α) form.

1. 5.1Radians, trigonometry and parametric equationsFree 52 questions
2. 5.2Small-angle approximations for sin, cos and tan35 questions
3. 5.3Reciprocal trigonometric functions (sec, cosec, cot) and inverse trigonometric functions57 questions
4. 5.4Addition and double-angle formulae, and the R sin(x+α) form31 questions

Topic 6: Further differentiation

It builds on what you learned at AS in Differentiation, and takes it further.

There are 2 parts: we start with further differentiation and integration, and finish with implicit differentiation and connected rates of change.

1. 6.1Further differentiation and integrationFree 56 questions
2. 6.2Implicit differentiation and connected rates of change65 questions

Topic 7: Further integration and differential equations

It builds on what you learned at AS in Integration, and takes it further.

There are 3 parts: we start with integration by substitution and by parts, and finish with first-order separable differential equations.

1. 7.1Integration by substitution and by partsFree 58 questions
2. 7.2Integration using partial fractions and trigonometric identities63 questions
3. 7.3First-order separable differential equations48 questions

Topic 8: Numerical methods

It builds on what you learned at AS in Differentiation, and takes it further.

There are 2 parts: we start with iterative methods and the Newton–Raphson method, and finish with numerical integration.

1. 8.1Iterative methods and the Newton–Raphson method85 questions
2. 8.2Numerical integration: the trapezium rule74 questions

Topic 9: Vectors in three dimensions

It builds on what you learned at AS in Vectors, and takes it further.

There are 2 parts: we start with numerical methods and 3D vectors, and finish with vectors in three dimensions.

1. 9.1Numerical methods and 3D vectorsFree 67 questions
2. 9.2Vectors in three dimensions42 questions

Topic 10: Conditional probability

It builds on what you learned at AS in Probability, and takes it further.

We will go through it step by step.

1. 10.1Venn diagrams, tree diagrams and two-way tables for conditional probability76 questions

Topic 11: The normal distribution

It builds on what you learned at AS in Statistical distributions, and takes it further.

There are 4 parts: we start with conditional probability and the normal distribution, and finish with working with the large data set.

1. 11.1Conditional probability and the normal distributionFree 80 questions
2. 11.2Inverse normal and finding an unknown mean or standard deviation72 questions
3. 11.3Normal approximation to the binomial distribution58 questions
4. 11.4Working with the large data set74 questions

Topic 12: Hypothesis testing: correlation and the normal distribution

It builds on what you learned at AS in Statistical hypothesis testing, and takes it further.

There are 2 parts: we start with hypothesis testing with correlation and the normal distribution, and finish with hypothesis test for the mean of a normal distribution.

1. 12.1Hypothesis testing with correlation and the normal distribution75 questions
2. 12.2Hypothesis test for the mean of a normal distribution81 questions

Topic 13: Moments

It builds on what you learned at AS in Forces and Newton's laws, and takes it further.

There are 2 parts: we start with moments, friction and equilibrium, and finish with moments.

1. 13.1Moments, friction and equilibriumFree 79 questions
2. 13.2Moments: non-uniform rods, ladders and tilting problems80 questions

Topic 14: Projectiles

It builds on what you learned at AS in Kinematics, and takes it further.

There are 2 parts: we start with projectiles and variable acceleration, and finish with projectile trajectory equation and modelling assumptions.

1. 14.1Projectiles and variable acceleration63 questions
2. 14.2Projectile trajectory equation and modelling assumptions81 questions

Topic 15: Friction and further forces

It builds on what you learned at AS in Forces and Newton's laws, and takes it further.

We will go through it step by step.

1. 15.1Friction on inclined planes and with connected particles77 questions

Topic 16: Further kinematics

It builds on what you learned at AS in Kinematics, and takes it further.

There are 2 parts: we start with variable acceleration in vector form using calculus, and finish with Newton's second law with variable forces.

1. 16.1Variable acceleration in vector form using calculus68 questions
2. 16.2Newton's second law with variable forces73 questions

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