Shows / Mastery Mind: Mathematics Revision
Mastery Mind: Mathematics Revision
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.
Episodes
- Mastery Mind: Mathematics Revision
Algebra(AQA GCSE)
Algebra is the mathematical language of variables and unknowns, forming the foundation of GCSE Mathematics. Mastering these concepts is essential for accessing…
- Mastery Mind: Mathematics Revision
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)
Turn a graph into a rate of change or an accumulated total, then explain exactly what your answer means. Master tangents, trapezia and motion or financial…
- Mastery Mind: Mathematics Revision
Trigonometry(OCR A-Level)
Master OCR A-Level Trigonometry (4.9) with this comprehensive guide. We cover everything from reciprocal functions and compound angles to exam technique and…
- Mastery Mind: Mathematics Revision
Vectors(OCR A-Level)
Master the geometry and algebra of 3D space with this guide to A-Level Vectors. We will break down complex proofs and mechanics problems into manageable steps…
- Mastery Mind: Mathematics Revision
Angles(OCR GCSE)
Master the fundamental principles of angles for your OCR GCSE Maths exam. This guide breaks down everything from basic angle types to complex geometric proofs…
- Mastery Mind: Mathematics Revision
Vectors(Pearson Edexcel A-Level)
Master Edexcel A-Level Vectors with this comprehensive guide. We break down everything from basic notation to complex 3D geometric proofs, giving you the tools…
- Mastery Mind: Mathematics Revision
Trigonometry(Pearson Edexcel A-Level)
Master Edexcel A-Level Trigonometry with this comprehensive guide. We break down complex identities, radians, and reciprocal functions into manageable chunks…
- Mastery Mind: Mathematics Revision
Probability(Pearson Edexcel A-Level)
Probability is the mathematical framework for quantifying uncertainty and making predictions based on data. This topic is central to Edexcel A-Level…
- Mastery Mind: Mathematics Revision
Number(Pearson Edexcel GCSE)
Mastering fractions, decimals, and percentages is the foundation of GCSE Mathematics. This topic unlocks marks across the entire specification, teaching you…
- Mastery Mind: Mathematics Revision
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)
Function notation is a compact language for turning inputs into outputs, combining rules and undoing them. Master the order of composite functions and the…
- Mastery Mind: Mathematics Revision
Ratio, proportion and rates of change: solve problems involving direct and inverse proportion, including graphical and algebraic representations(Pearson Edexcel GCSE)
A fixed multiplier makes quantities grow together; a fixed product makes one shrink as the other grows. Learn to recognise each relationship, find its constant…
- Mastery Mind: Mathematics Revision
Algebra - Notation, vocabulary and manipulation: understand and use the concepts and vocabulary of expressions, equations, formulae, identities, inequalities, terms and factors(Pearson Edexcel GCSE)
A few precise words can unlock algebra marks: learn when to simplify an expression, solve an equation or justify an identity. This guide pairs signed-term and…
- Mastery Mind: Mathematics Revision
Algebra(OCR GCSE)
Master the essential connections between fractions, decimals, and percentages to unlock high marks across the GCSE Maths paper. This guide covers everything…
- Mastery Mind: Mathematics Revision
Approximation and Estimation(OCR GCSE)
Master the art of Approximation and Estimation, a foundational topic that underpins almost every paper in GCSE Mathematics. From avoiding the common traps of…
- Mastery Mind: Mathematics Revision
Basic Geometry(OCR GCSE)
Master the fundamental connections between fractions, decimals, and percentages. These core skills are essential for both Foundation and Higher tier exams…
- Mastery Mind: Mathematics Revision
Congruence and Similarity(OCR GCSE)
Master the principles of congruence and similarity, a high-yield topic that bridges geometry and proportional reasoning. Learn how to prove triangles are…
- Mastery Mind: Mathematics Revision
Graphs of Equations and Functions(OCR GCSE)
Master the visual language of Mathematics. This comprehensive guide covers linear, quadratic, cubic, reciprocal, exponential, and circle graphs, showing you…
- Mastery Mind: Mathematics Revision
Indices and Surds(OCR GCSE)
Master the foundational rules of Indices and Surds to unlock higher-level algebra. This topic covers the manipulation of powers, roots, and exact values…
- Mastery Mind: Mathematics Revision
Mensuration(OCR GCSE)
Mensuration is the mathematics of measuring shapes — from calculating the perimeter of a 2D field to finding the volume of a 3D sphere. It is a cornerstone of…
- Mastery Mind: Mathematics Revision
Ratio, Proportion and Rates Of Change(OCR GCSE)
Mastering fractions, decimals, and percentages is the key to unlocking higher grades in GCSE Mathematics. This topic is heavily examined across all boards and…
- Mastery Mind: Mathematics Revision
Statistics(OCR GCSE)
Master the essential trio of Fractions, Decimals, and Percentages (FDP) — a fundamental topic that underpins almost every GCSE Maths paper. This guide breaks…
- Mastery Mind: Mathematics Revision
A: Proof(AQA A-Level)
Proof is the part of A-level Mathematics where a correct answer must be made unavoidable. For AQA 7357 section 3.2 A1, candidates need to choose and execute…
- Mastery Mind: Mathematics Revision
Algebra - Graphs(Pearson Edexcel GCSE)
A curve can slide or flip without changing its shape, and one correctly tracked point can unlock the rule. Master the four Higher-tier graph transformations…
- Mastery Mind: Mathematics Revision
Algebra - Graphs: identify and interpret roots, intercepts, turning points of quadratic functions graphically; deduce roots algebraically (Foundation tier)(Pearson Edexcel GCSE)
A parabola is a picture of an equation: its roots, intercepts and turning point reveal exactly what the algebra is doing. This Foundation guide teaches…
- Mastery Mind: Mathematics Revision
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)
Turn a quadratic from a mysterious curve into a set of marks you know how to earn. Learn to read roots and intercepts, then use completing the square to find…
- Mastery Mind: Mathematics Revision
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)
Can two expressions look different but always mean the same thing? Learn to distinguish equations from identities, show equivalence through clear algebra, and…
- Mastery Mind: Mathematics Revision
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)
Complicated algebra becomes manageable when you spot its structure: terms to collect, factors to expand or cancel, and powers to simplify. Master Pearson…
- Mastery Mind: Mathematics Revision
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)
This guide builds confident algebra manipulation, from collecting like terms through expanding, factorising and using indices. Learn to recognise the operation…
- Mastery Mind: Mathematics Revision
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)
Small symbols can make a big difference: 3y is not y³, and one bracket can change the entire calculation. Learn Pearson Edexcel’s algebraic shorthand, exact…
- Mastery Mind: Mathematics Revision
Algebra - Sequences: deduce expressions to calculate the nth term of linear and quadratic sequences (Higher tier)(Pearson Edexcel GCSE)
Turn a list of numbers into a rule that jumps straight to any term. Master constant first and second differences, recover every part of a quadratic expression…
- Mastery Mind: Mathematics Revision
Algebra - Sequences: deduce expressions to calculate the nth term of linear sequences (Foundation tier)(Pearson Edexcel GCSE)
Turn a number pattern into a rule that finds any term without listing all the earlier ones. Learn how to secure marks on Edexcel Foundation sequence questions…
- Mastery Mind: Mathematics Revision
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)
Number patterns stop being guesses when you know what to test. Learn to recognise seven sequence families, extend them accurately and justify whether a value…
- Mastery Mind: Mathematics Revision
Algebra - Solving equations and inequalities: solve quadratic equations algebraically by factorising; find approximate solutions using a graph (Foundation tier)(Pearson Edexcel GCSE)
Turn a quadratic into brackets, then turn the brackets into marks. This Foundation-tier guide explains why factorising works, how to keep every valid solution…
- Mastery Mind: Mathematics Revision
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)
Two equations, one shared set of answers: learn to eliminate or substitute, then keep every x matched with its y. This Higher-tier guide turns linear/quadratic…
- Mastery Mind: Mathematics Revision
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)
Two equations, one shared answer: learn to find the pair that makes both conditions true, then see why it is the crossing point of two lines. Master…
- Mastery Mind: Mathematics Revision
Algebra and Functions(WJEC A-Level)
Algebra and Functions is where WJEC A-Level Mathematics becomes a connected system: exact manipulation produces equations, equations produce graphs, and graphs…
- Mastery Mind: Mathematics Revision
Algebra(Eduqas GCSE)
Algebra is the language of mathematics, using letters to represent unknown values and general rules. Mastering algebra unlocks the ability to solve complex…
- Mastery Mind: Mathematics Revision
Algebra(Pearson Edexcel GCSE)
Sequences are the heartbeat of algebraic patterns, testing your ability to spot relationships and express them mathematically. Mastering term-to-term and…
- Mastery Mind: Mathematics Revision
Algebra(Pearson Edexcel GCSE)
Master the language of mathematics with this comprehensive guide to GCSE Algebra. From expanding brackets to solving quadratic equations, we'll build the…
- Mastery Mind: Mathematics Revision
B: Algebra and functions(AQA A-Level)
Algebra and functions are the organising language of A-Level Mathematics: they connect exact manipulation, graph behaviour and mathematical modelling…
- Mastery Mind: Mathematics Revision
Calculate the magnitude and direction of a vector and convert between component form and magnitude/direction form(Pearson Edexcel A-Level)
Vectors become predictable scoring opportunities when you separate their length from their direction. This Pearson Edexcel 10.2 guide shows how to calculate…
- Mastery Mind: Mathematics Revision
Calculations(OCR GCSE)
Master the core of your GCSE Maths exam with this guide to Calculations. Learn the secrets to using your calculator effectively, conquer the order of…
- Mastery Mind: Mathematics Revision
D: Sequences and series(AQA A-Level)
Sequences and series turn repeated change into precise mathematics: add a constant, multiply by a constant, or build each term from the previous one. In AQA…
- Mastery Mind: Mathematics Revision
Data Handling(OCR GCSE)
Master OCR GCSE Data Handling with this guide, covering everything from basic charts to advanced histograms and cumulative frequency. Learn to interpret data…
- Mastery Mind: Mathematics Revision
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)
Partial fractions turn a complicated rational function into simpler pieces that reveal the marks in integration, differentiation and series questions. For…
- Mastery Mind: Mathematics Revision
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)
Differentiation 7.4 is the point where familiar derivatives become layered exam problems. Learn to recognise the structure first, then show every factor…
- Mastery Mind: Mathematics Revision
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)
Differentiation 7.2 is your standard-function toolkit: rational powers, exponentials, trigonometric functions and logarithms all become gradients with a small…
- Mastery Mind: Mathematics Revision
Differentiation(WJEC A-Level)
Differentiation is the WJEC A-Level tool for converting a curve into precise information about gradient, change and optimum values. Master the route from…
- Mastery Mind: Mathematics Revision
E: Trigonometry(AQA A-Level)
AQA A-level Trigonometry is where circular geometry, algebra and modelling meet: use it to calculate arcs, prove identities, sketch periodic functions and…
- Mastery Mind: Mathematics Revision
Evaluate definite integrals; use a definite integral to find the area under a curve and the area between two curves(Pearson Edexcel A-Level)
Definite integration is the A-level tool for turning a changing graph into a finite area. In Edexcel 8.3, the winning method is visual first and algebra…
- Mastery Mind: Mathematics Revision
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)
Mastering first-order differential equations unlocks your ability to model real-world change, from population growth to radioactive decay. This guide breaks…
- Mastery Mind: Mathematics Revision
Exponentials and Logarithms(WJEC A-Level)
Exponentials and logarithms turn repeated multiplication into a precise language for growth, decay, inverse functions and data modelling. WJEC 2.1.6 rewards…
- Mastery Mind: Mathematics Revision
F: Exponentials and logarithms(AQA A-Level)
Exponentials and logarithms are the mathematical language of repeated proportional change: they appear in growth, decay, graphs, differentiation and data…
- Mastery Mind: Mathematics Revision
Forces and Newton's Laws(WJEC A-Level)
Forces and Newton’s laws turn everyday motion into a short mathematical model: identify the particle, show every external force and apply the resultant-force…
- Mastery Mind: Mathematics Revision
G: Differentiation(AQA A-Level)
Differentiation is the AQA A-Level toolkit for describing instantaneous change: the gradient of a curve, a velocity, an optimum or a model. Mastering the rule…
- Mastery Mind: Mathematics Revision
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)
Why does doubling a model’s height require four times the paint but eight times the filling material? Master congruence proofs and the k, k², k³ relationships…
- Mastery Mind: Mathematics Revision
Geometry and measures - Mensuration and calculation: calculate arc lengths, angles and areas of sectors of circles(Pearson Edexcel GCSE)
One fraction unlocks the curved edge, shaded area and missing angle of any circle sector. Learn how to turn θ/360 into reliable Edexcel GCSE marks, avoid the…
- Mastery Mind: Mathematics Revision
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)
When a triangle has no right angle, the sine and cosine rules turn unfamiliar diagrams into solvable calculations. Learn to choose the right rule, show…
- Mastery Mind: Mathematics Revision
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)
Two triangles unlock the exact sine, cosine and tangent values that Edexcel GCSE candidates must recall without a calculator. Learn how to rebuild the table…
- Mastery Mind: Mathematics Revision
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)
A single radius or chord can unlock a whole circle-theorem question. Learn to calculate angles and lengths, give the precise reasons examiners expect, and…