Mastery Mind: Mathematics Revision

By Mastery Mind

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Episodes: 168

Description

Master Mathematics with bite-sized GCSE and A-Level audio revision guides from Mastery Mind. Each episode covers essential curriculum topics with clear explanations, exam technique tips, and key concepts. Test yourself on interactive quizzes and flashcards at https://masterymind.co.uk.

Episode Date
Graphs: calculate or estimate gradients of graphs and areas under graphs (including quadratic and other non- linear graphs), and interpret results in cases such as distance-time graphs, velocity-time graphs and graphs in financial contexts (Higher tier only)(AQA GCSE)
Nov 05, 2026
Algebra(AQA GCSE)
Nov 05, 2026
Trigonometry(OCR A-Level)
Oct 31, 2026
Vectors(OCR A-Level)
Oct 31, 2026
Angles(OCR GCSE)
Oct 29, 2026
Vectors(Pearson Edexcel A-Level)
Oct 29, 2026
Trigonometry(Pearson Edexcel A-Level)
Oct 29, 2026
Probability(Pearson Edexcel A-Level)
Oct 29, 2026
Number(Pearson Edexcel GCSE)
Oct 23, 2026
Algebra - Notation, vocabulary and manipulation: where appropriate, interpret simple expressions as functions with inputs and outputs; interpret the reverse process as the ‘inverse function’; interpret the succession of two functions as a ‘composite function’ (the use of formal function notation is expected) (Higher tier)(Pearson Edexcel GCSE)
Oct 22, 2026
Ratio, proportion and rates of change: solve problems involving direct and inverse proportion, including graphical and algebraic representations(Pearson Edexcel GCSE)
Oct 21, 2026
Algebra - Notation, vocabulary and manipulation: understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, Proportion and Rates Of Change(OCR GCSE)
Oct 20, 2026
Statistics(OCR GCSE)
Oct 20, 2026
Indices and Surds(OCR GCSE)
Oct 20, 2026
Congruence and Similarity(OCR GCSE)
Oct 20, 2026
Graphs of Equations and Functions(OCR GCSE)
Oct 20, 2026
Algebra(OCR GCSE)
Oct 20, 2026
Mensuration(OCR GCSE)
Oct 20, 2026
Approximation and Estimation(OCR GCSE)
Oct 20, 2026
Basic Geometry(OCR GCSE)
Oct 20, 2026
Algebra(Pearson Edexcel GCSE)
Oct 20, 2026
Statistics(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change(Pearson Edexcel GCSE)
Oct 20, 2026
Probability(Pearson Edexcel GCSE)
Oct 20, 2026
Overarching themes(AQA A-Level)
Oct 20, 2026
Overarching themes(AQA A-Level)
Oct 20, 2026
Overarching themes(AQA A-Level)
Oct 20, 2026
Exponentials and Logarithms(WJEC A-Level)
Oct 20, 2026
Sequences and Series - The Binomial Theorem(WJEC A-Level)
Oct 20, 2026
Understand and use the laws of logarithms: log_a x + log_a y = log_a(xy); log_a x – log_a y = log_a(x/y); k log_a x = log_a(xᵏ) (including, for example, k = –1 and k = –½)(Pearson Edexcel A-Level)
Oct 20, 2026
Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof, including: Proof by deduction, Proof by exhaustion, Disproof by counter example, Proof by contradiction (including proof of the irrationality of √2 and the infinity of primes, and application to unfamiliar proofs)(Pearson Edexcel A-Level)
Oct 20, 2026
Differentiate using the product rule, the quotient rule and the chain rule, including problems involving connected rates of change and inverse functions; differentiation of cosec x, cot x and sec x(Pearson Edexcel A-Level)
Oct 20, 2026
Use of functions in modelling, including consideration of limitations and refinements of the models(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use the standard small angle approximations of sine, cosine and tangent: sin θ ≈ θ, cos θ ≈ 1 – θ²/2, tan θ ≈ θ where θ is in radians(Pearson Edexcel A-Level)
Oct 20, 2026
A: Proof(AQA A-Level)
Oct 20, 2026
Use vectors to solve problems in pure mathematics and in context (including forces)(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use moments in simple static contexts(Pearson Edexcel A-Level)
Oct 20, 2026
Select an appropriate probability distribution for a context, with appropriate reasoning, including recognising when the binomial or Normal model may not be appropriate(Pearson Edexcel A-Level)
Oct 20, 2026
Sequences and Series(WJEC A-Level)
Oct 20, 2026
Use logarithmic graphs to estimate parameters in relationships of the form y = axⁿ and y = kbˣ, given data for x and y(Pearson Edexcel A-Level)
Oct 20, 2026
Evaluate the analytical solution of simple first order differential equations with separable variables, including finding particular solutions (separation of variables may require factorisation involving a common factor)(Pearson Edexcel A-Level)
Oct 20, 2026
Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves(Pearson Edexcel A-Level)
Oct 20, 2026
E: Trigonometry(AQA A-Level)
Oct 20, 2026
Understand and use the laws of indices for all rational exponents(Pearson Edexcel A-Level)
Oct 20, 2026
R: Forces and Newton’s laws(AQA A-Level)
Oct 20, 2026
M: Probability(AQA A-Level)
Oct 20, 2026
B: Algebra and functions(AQA A-Level)
Oct 20, 2026
H: Integration(AQA A-Level)
Oct 20, 2026
Vectors(WJEC A-Level)
Oct 20, 2026
Use vectors in two dimensions and in three dimensions(Pearson Edexcel A-Level)
Oct 20, 2026
D: Sequences and series(AQA A-Level)
Oct 20, 2026
Numerical Methods(WJEC A-Level)
Oct 20, 2026
Locate roots of f(x) = 0 by considering changes of sign of f(x) in an interval of x on which f(x) is sufficiently well behaved; understand how change of sign methods can fail(Pearson Edexcel A-Level)
Oct 20, 2026
Q: Kinematics(AQA A-Level)
Oct 20, 2026
G: Differentiation(AQA A-Level)
Oct 20, 2026
O: Statistical hypothesis testing(AQA A-Level)
Oct 20, 2026
J: Vectors(AQA A-Level)
Oct 20, 2026
F: Exponentials and logarithms(AQA A-Level)
Oct 20, 2026
Understand and use Newton's third law; equilibrium of forces on a particle and motion in a straight line (restricted to forces in two perpendicular directions or simple cases of forces given as 2-D vectors); application to problems involving smooth pulleys and connected particles; resolving forces in 2 dimensions; equilibrium of a particle under coplanar forces(Pearson Edexcel A-Level)
Oct 20, 2026
K: Statistical sampling(AQA A-Level)
Oct 20, 2026
Know and use the function eˣ and its graph; know and use the definition of log_a x as the inverse of aˣ, where a is positive and a ≠ 1; know and use the function ln x and its graph; know and use ln x as the inverse function of eˣ(Pearson Edexcel A-Level)
Oct 20, 2026
Interpret the solution of a differential equation in the context of solving a problem, including identifying limitations of the solution; includes links to kinematics(Pearson Edexcel A-Level)
Oct 20, 2026
P: Quantities and units in mechanics(AQA A-Level)
Oct 20, 2026
Understand and use composite functions; inverse functions and their graphs(Pearson Edexcel A-Level)
Oct 20, 2026
Understand the effect of simple transformations on the graph of y = f(x), including sketching associated graphs: y = af(x), y = f(x) + a, y = f(x + a), y = f(ax) and combinations of these transformations(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use the equation of a straight line, including the forms y – y₁ = m(x – x₁) and ax + by + c = 0; gradient conditions for two straight lines to be parallel or perpendicular; be able to use straight line models in a variety of contexts(Pearson Edexcel A-Level)
Oct 20, 2026
Proof(WJEC A-Level)
Oct 20, 2026
Understand and use the Normal distribution as a model; find probabilities using the Normal distribution; link to histograms, mean, standard deviation, points of inflection and the binomial distribution(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use simple, discrete probability distributions (calculation of mean and variance of discrete random variables is excluded), including the binomial distribution, as a model; calculate probabilities using the binomial distribution(Pearson Edexcel A-Level)
Oct 20, 2026
Kinematics(WJEC A-Level)
Oct 20, 2026
Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form(Pearson Edexcel A-Level)
Oct 20, 2026
L: Data presentation and interpretation(AQA A-Level)
Oct 20, 2026
Forces and Newton's Laws(WJEC A-Level)
Oct 20, 2026
Understand and use position vectors; calculate the distance between two points represented by position vectors(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use the definitions of secant, cosecant and cotangent and of arcsin, arccos and arctan; their relationships to sine, cosine and tangent; understanding of their graphs; their ranges and domains(Pearson Edexcel A-Level)
Oct 20, 2026
Algebra and Functions(WJEC A-Level)
Oct 20, 2026
Differentiation(WJEC A-Level)
Oct 20, 2026
Differentiate xⁿ, for rational values of n, and related constant multiples, sums and differences; differentiate eˢˣ and aˣ, sin kx, cos kx, tan kx and related sums, differences and constant multiples; understand and use the derivative of ln x(Pearson Edexcel A-Level)
Oct 20, 2026
Understand and use the sine, cosine and tangent functions; their graphs, symmetries and periodicity; know and use exact values of sin and cos for 0, π/6, π/4, π/3, π/2, π and multiples thereof, and exact values of tan for 0, π/6, π/4, π/3, π and multiples thereof(Pearson Edexcel A-Level)
Oct 20, 2026
Solve equations using the Newton-Raphson method and other recurrence relations of the form xₙ₊₁ = g(xₙ); understand how such methods can fail(Pearson Edexcel A-Level)
Oct 20, 2026
Use and manipulate surds, including rationalising the denominator(Pearson Edexcel A-Level)
Oct 20, 2026
N: Statistical distributions(AQA A-Level)
Oct 20, 2026
Decompose rational functions into partial fractions (denominators not more complicated than squared linear terms and with no more than 3 terms, numerators constant or linear)(Pearson Edexcel A-Level)
Oct 20, 2026
Number - Structure and calculation: order positive and negative integers, decimals and fractions; use the symbols =, ≠, <, >, ≤, ≥(Pearson Edexcel GCSE)
Oct 20, 2026
Probability: enumerate sets and combinations of sets systematically, using tables, grids, Venn diagrams and tree diagrams(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Graphs: identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Graphs: identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically and turning points by completing the square (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Structure and calculation: calculate exactly with fractions and multiples of π (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: define percentage as ‘number of parts per hundred’; interpret percentages and percentage changes as a fraction or a decimal, and interpret these multiplicatively; express one quantity as a percentage of another; compare two quantities using percentages; work with percentages greater than 100%; solve problems involving percentage change, including percentage increase/decrease and original value problems, and simple interest including in financial mathematics(Pearson Edexcel GCSE)
Oct 20, 2026
Probability: apply ideas of randomness, fairness and equally likely events to calculate expected outcomes of multiple future experiments(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Sequences: recognise and use sequences of triangular, square and cube numbers, simple arithmetic progressions, Fibonacci type sequences, quadratic sequences, and simple geometric progressions (rⁿ where n is an integer, and r is a rational number > 0) (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Measures and accuracy: apply and interpret limits of accuracy (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Measures and accuracy: estimate answers; check calculations using approximation and estimation, including answers obtained using technology(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Structure and calculation: apply systematic listing strategies (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Notation, vocabulary and manipulation: simplify and manipulate algebraic expressions (including those involving surds) by: • collecting like terms • multiplying a single term over a bracket • taking out common factors • expanding products of two binomials • factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; • simplifying expressions involving sums, products and powers, including the laws of indices (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Structure and calculation: calculate with roots, and with integer and fractional indices (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: interpret the gradient at a point on a curve as the instantaneous rate of change; apply the concepts of average and instantaneous rate of change (gradients of chords and tangents) in numerical, algebraic and graphical contexts (this does not include calculus) (Higher tier only)(Pearson Edexcel GCSE)
Oct 20, 2026
Probability: calculate and interpret conditional probabilities through representation using expected frequencies with two-way tables, tree diagrams and Venn diagrams (Higher tier only)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: interpret the gradient of a straight line graph as a rate of change; recognise and interpret graphs that illustrate direct and inverse proportion(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: express a multiplicative relationship between two quantities as a ratio or a fraction(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Solving equations and inequalities: solve quadratic equations algebraically by factorising; find approximate solutions using a graph (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio; apply ratio to real contexts and problems (such as those involving conversion, comparison, scaling, mixing, concentrations)(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Notation, vocabulary and manipulation: use and interpret algebraic manipulation, including: • ab in place of a × b • 3y in place of y + y + y and 3 × y • a² in place of a × a, a³ in place of a × a × a, a²b in place of a × a × b • a/b in place of a ÷ b • coefficients written as fractions rather than as decimals • brackets(Pearson Edexcel GCSE)
Oct 20, 2026
Probability: relate relative expected frequencies to theoretical probability, using appropriate language and the 0-1 probability scale(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: use conventional terms and notations: points, lines, vertices, edges, planes, parallel lines, perpendicular lines, right angles, polygons, regular polygons and polygons with reflection and/or rotation symmetries; use the standard conventions for labelling and referring to the sides and angles of triangles; draw diagrams from written description(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Solving equations and inequalities: solve two simultaneous equations in two variables (linear/linear) algebraically; find approximate solutions using a graph (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Mensuration and calculation: apply the concepts of congruence and similarity, including the relationships between lengths, areas and volumes in similar figures (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: derive and apply the properties and definitions of: special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus; and triangles and other plane figures using appropriate language(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: construct and interpret plans and elevations of 3D shapes(Pearson Edexcel GCSE)
Oct 20, 2026
Probability: apply the property that the probabilities of an exhaustive set of outcomes sum to one; apply the property that the probabilities of an exhaustive set of mutually exclusive events sum to one(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Sequences: deduce expressions to calculate the nth term of linear and quadratic sequences (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Mensuration and calculation: know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90° know the exact value of tan θ for θ = 0°, 30°, 45°, 60°(AQA GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results (Higher tier only)(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Fractions, decimals and percentages: identify and work with fractions in ratio problems(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Sequences: deduce expressions to calculate the nth term of linear sequences (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Graphs: use the formy = mx + c to identify parallel lines find the equation of the line through two given points, or through one point with a given gradient(AQA GCSE)
Oct 20, 2026
Mensuration and calculation: measure line segments and angles in geometric figures, including interpreting maps and scale drawings and use of bearings(AQA GCSE)
Oct 20, 2026
Geometry and measures - Mensuration and calculation: know the exact values of sin θ and cos θ for θ = 0°, 30°, 45°, 60° and 90°; know the exact value of tan θ for θ = 0°, 30°, 45° and 60°(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Mensuration and calculation: know and apply the sine rule a/sin A = b/sin B = c/sin C , and cosine rule a² = b² + c² – 2bc cos A, to find unknown lengths and angles (Higher tier only)(Pearson Edexcel GCSE)
Oct 20, 2026
Sequences: including quadratic sequences (Higher tier only)(AQA GCSE)
Oct 20, 2026
Algebra - Solving equations and inequalities: solve two simultaneous equations in two variables (linear/linear or linear/quadratic) algebraically; find approximate solutions using a graph (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Sequences: including other sequences including where r is a surd (Higher tier only)(AQA GCSE)
Oct 20, 2026
Properties and constructions(AQA GCSE)
Oct 20, 2026
Structure and calculation(AQA GCSE)
Oct 20, 2026
Graphs(AQA GCSE)
Oct 20, 2026
Structure and calculation(AQA GCSE)
Oct 20, 2026
Algebra - Graphs(Pearson Edexcel GCSE)
Oct 20, 2026
Number - Fractions, decimals and percentages: work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 7/2 or 0.375 or 3/8); change recurring decimals into their corresponding fractions and vice versa (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: change freely between related standard units (e.g. time, length, area, volume/capacity, mass) and compound units (e.g. speed, rates of pay, prices, density, pressure) in numerical and algebraic contexts(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: use scale factors, scale diagrams and maps(AQA GCSE)
Oct 20, 2026
Algebra - Notation, vocabulary and manipulation: simplify and manipulate algebraic expressions (including those involving surds and algebraic fractions) by: • collecting like terms • multiplying a single term over a bracket • taking out common factors • expanding products of two or more binomials • factorising quadratic expressions of the form x² + bx + c, including the difference of two squares; factorising quadratic expressions of the form ax² + bx + c • simplifying expressions involving sums, products and powers, including the laws of indices (Higher tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Mensuration and calculation(AQA GCSE)
Oct 20, 2026
Geometry and measures - Mensuration and calculation: calculate arc lengths, angles and areas of sectors of circles(Pearson Edexcel GCSE)
Oct 20, 2026
Algebra - Notation, vocabulary and manipulation: know the difference between an equation and an identity; argue mathematically to show algebraic expressions are equivalent, and use algebra to support and construct arguments (Foundation tier)(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change: relate ratios to fractions and to linear functions(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures - Properties and constructions: describe the changes and invariance achieved by combinations of rotations, reflections and translations (Higher tier only)(Pearson Edexcel GCSE)
Oct 20, 2026
Graphs: plot graphs of equations that correspond to straight-line graphs in the coordinate plane(AQA GCSE)
Oct 20, 2026
Structure and calculation: calculate exactly with fractions(AQA GCSE)
Oct 20, 2026
Properties and constructions: apply and prove the standard circle theorems concerning angles, radii, tangents and chords, and use them to prove related results (Higher tier only)(AQA GCSE)
Oct 20, 2026
Ratio, proportion and rates of change(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures(Eduqas GCSE)
Oct 20, 2026
Geometry and measures(Pearson Edexcel GCSE)
Oct 20, 2026
Data Handling(OCR GCSE)
Oct 20, 2026
Statistics(Pearson Edexcel GCSE)
Oct 20, 2026
Calculations(OCR GCSE)
Oct 20, 2026
Algebra(Eduqas GCSE)
Oct 20, 2026
Statistics(AQA GCSE)
Oct 20, 2026
Number(AQA GCSE)
Oct 20, 2026
Number(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio, proportion and rates of change(AQA GCSE)
Oct 20, 2026
Number(Eduqas GCSE)
Oct 20, 2026
Number and Place Value(OCR GCSE)
Oct 20, 2026
Volume(OCR GCSE)
Oct 20, 2026
Probability(Pearson Edexcel GCSE)
Oct 20, 2026
Geometry and measures(AQA GCSE)
Oct 20, 2026
Probability(Eduqas GCSE)
Oct 20, 2026
Probability(AQA GCSE)
Oct 20, 2026
Statistics(Eduqas GCSE)
Oct 20, 2026
Graphs(OCR GCSE)
Oct 20, 2026
Ratio, proportion and rates of change(Eduqas GCSE)
Oct 20, 2026
Algebra(Pearson Edexcel GCSE)
Oct 20, 2026
Ratio and proportion(OCR GCSE)
Oct 01, 2026
Vectors(AQA A-Level)
Oct 01, 2026
Vectors(OCR GCSE)
Oct 01, 2026