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
Ratio, proportion and rates of change(Pearson Edexcel GCSE)
Master the mathematics of change! This topic covers calculating gradients from straight lines, applying compound interest to financial problems, and solving…
- Mastery Mind: Mathematics Revision
Ratio, proportion and rates of change(Pearson Edexcel GCSE)
Master the essential principles of Ratio, Proportion, and Rates of Change. This topic is heavily tested in GCSE Mathematics, offering significant marks for…
- Mastery Mind: Mathematics Revision
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)
The same journey can be described as 15 m/s or 54 km/h, and knowing why can protect several exam marks. Master standard units, squared and cubed factors, and…
- Mastery Mind: Mathematics Revision
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)
A sale price, a pay rise and a savings balance all become easier once you identify the original 100%. Master percentage multipliers, reverse percentages and…
- Mastery Mind: Mathematics Revision
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)
Sharing money, scaling recipes and mixing drinks all become easier when you identify what one equal ratio part represents. Master the wording traps and show a…
- Mastery Mind: Mathematics Revision
Ratio, proportion and rates of change: express a multiplicative relationship between two quantities as a ratio or a fraction(Pearson Edexcel GCSE)
Eight red counters and twenty blue counters can reveal a ratio, two reciprocal fractions and a multiplier. Learn to choose the comparison the question actually…
- Mastery Mind: Mathematics Revision
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)
A curve tells two stories: how much there is and how quickly it is changing. Learn when to use a chord or a tangent, calculate reliable gradients and turn your…
- Mastery Mind: Mathematics Revision
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)
A graph is more than a picture: its gradient can reveal a cyclist's speed, a tank's emptying rate or a price per kilogram. Learn to calculate and interpret…
- Mastery Mind: Mathematics Revision
Ratio, proportion and rates of change: relate ratios to fractions and to linear functions(Pearson Edexcel GCSE)
A ratio, a fraction and a straight-line graph can tell the same mathematical story. Learn to choose the correct denominator, find the conversion multiplier and…
- Mastery Mind: Mathematics Revision
Ratio, proportion and rates of change: use scale factors, scale diagrams and maps(AQA GCSE)
A tiny map can represent an entire town, but only if you control the scale and the units. Master map-to-real and real-to-map calculations, accurate scale…
- Mastery Mind: Mathematics Revision
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)
Choosing a probability distribution is a high-value Paper 3 modelling skill. Learn to separate counts from measurements, test the assumptions behind Binomial…
- Mastery Mind: Mathematics Revision
Sequences and Series - The Binomial Theorem(WJEC A-Level)
The WJEC binomial theorem turns long-looking bracket powers into an organised sequence of coefficients, falling first powers and rising second powers…
- Mastery Mind: Mathematics Revision
Sequences and Series(WJEC A-Level)
Sequences and series convert patterns into precise formulas, totals and models, making them a reliable source of method marks in WJEC A-Level Mathematics…
- Mastery Mind: Mathematics Revision
Sequences: including other sequences including where r is a surd (Higher tier only)(AQA GCSE)
A multiplier can be irrational while the pattern stays beautifully simple. Master exact surd arithmetic, count the jumps correctly and turn unfamiliar…
- Mastery Mind: Mathematics Revision
Sequences: including quadratic sequences (Higher tier only)(AQA GCSE)
A quadratic sequence hides a surprisingly simple rule: constant second differences reveal its n² component. Learn to rebuild the full nth term, handle negative…
- Mastery Mind: Mathematics Revision
Solve equations approximately using simple iterative methods; be able to draw associated cobweb and staircase diagrams(Pearson Edexcel A-Level)
Simple iterative methods turn difficult root equations into a repeatable numerical routine: feed each answer back into \(x_{n+1}=g(x_n)\). For Pearson Edexcel…
- Mastery Mind: Mathematics Revision
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)
Newton-Raphson and recurrence relations let you approximate roots that algebra cannot conveniently solve. For Pearson Edexcel, the highest marks come from…
- Mastery Mind: Mathematics Revision
Statistics(AQA GCSE)
Statistics is the science of collecting, analysing, and interpreting data. It is a highly practical and mark-friendly topic that appears in every single GCSE…
- Mastery Mind: Mathematics Revision
Statistics(Eduqas GCSE)
Statistics is the mathematics of collecting, analysing, and interpreting data to make informed decisions. Mastering this topic is essential for your exams, as…
- Mastery Mind: Mathematics Revision
Statistics(Pearson Edexcel GCSE)
Mastering data representation is your key to unlocking major marks in GCSE Mathematics. This guide covers everything from constructing basic charts to…
- Mastery Mind: Mathematics Revision
Statistics(Pearson Edexcel GCSE)
Master the art of data with this comprehensive guide to GCSE Statistics. From calculating averages to interpreting complex scatter graphs and cumulative…
- Mastery Mind: Mathematics Revision
Structure and calculation(AQA GCSE)
From microscopic measurements to millions of people, standard form replaces strings of zeros with a coefficient and a power of ten. Master conversion…
- Mastery Mind: Mathematics Revision
Structure and calculation(AQA GCSE)
Turn awkward square roots into exact answers that earn marks. This Higher-tier guide explains how to simplify and calculate with surds, rationalise…
- Mastery Mind: Mathematics Revision
Structure and calculation: calculate exactly with fractions(AQA GCSE)
Fractions reward accurate, orderly thinking: make equal parts before adding or subtracting, cancel factors when multiplying, and use a reciprocal when…
- Mastery Mind: Mathematics Revision
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)
Mechanics becomes much more reliable when you treat every question as a force-modelling task: select one particle, draw the forces, choose axes and then write…
- Mastery Mind: Mathematics Revision
Understand and use composite functions; inverse functions and their graphs(Pearson Edexcel A-Level)
Composite and inverse functions turn algebra into a chain of controlled processes: apply rules in the right order, then reverse them only when the mapping is…
- Mastery Mind: Mathematics Revision
Understand and use moments in simple static contexts(Pearson Edexcel A-Level)
Moments turn a static diagram into a solvable mechanics problem: calculate a turning effect, then combine it with force equilibrium. This guide gives…
- Mastery Mind: Mathematics Revision
Understand and use position vectors; calculate the distance between two points represented by position vectors(Pearson Edexcel A-Level)
Position vectors give a precise language for locating points from an origin, while displacement and magnitude convert that location data into journeys and…
- Mastery Mind: Mathematics Revision
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)
This guide turns Edexcel Topic 4.1 into a dependable exam routine: define the count, test the binomial assumptions, translate the probability wording, then…
- Mastery Mind: Mathematics Revision
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)
The Normal distribution is the bell-curve model that turns continuous data into exam-ready probabilities, percentiles and modelling decisions. Pearson Edexcel…
- Mastery Mind: Mathematics Revision
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)
Reciprocal and inverse trigonometric functions reward accuracy because a single denominator, asymptote or principal range controls the whole answer. Master the…
- Mastery Mind: Mathematics Revision
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)
Straight lines are the algebraic language of constant rate of change: one gradient and one point fix a unique line. Pearson Edexcel candidates must move…
- Mastery Mind: Mathematics Revision
Understand and use the laws of indices for all rational exponents(Pearson Edexcel A-Level)
Mastering the Laws of Indices is essential for unlocking algebra and higher-level mathematics. This guide breaks down the five core rules—from multiplication…
- Mastery Mind: Mathematics Revision
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)
The laws of logarithms convert addition, subtraction and coefficients outside logarithms into multiplication, division and powers inside them. In Pearson…
- Mastery Mind: Mathematics Revision
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)
Trigonometry becomes far easier once you see it as coordinates moving around a unit circle. This guide turns Edexcel Topic 5.3 into exact-value patterns, graph…
- Mastery Mind: Mathematics Revision
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)
Small-angle approximations let you replace trigonometric functions with simple algebra when the angle is close to zero in radians. In Edexcel Topic 5.2, the…
- Mastery Mind: Mathematics Revision
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)
Mathematical Proof is the art of demonstrating that a statement is true beyond any doubt, using logical steps rather than just examples. Mastering proof…
- Mastery Mind: Mathematics Revision
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)
Graph transformations turn a familiar curve into a new graph by moving its coordinates in predictable ways. This Pearson Edexcel 2.9 guide turns the usual…
- Mastery Mind: Mathematics Revision
Use and manipulate surds, including rationalising the denominator(Pearson Edexcel A-Level)
Master the art of manipulating exact values with surds. This topic is essential for securing high marks on the Higher tier paper, teaching you how to simplify…
- Mastery Mind: Mathematics Revision
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)
Logarithmic graphs are the examiner’s shortcut from a curved data pattern to a usable model. Master the two transformations and you can turn a line’s gradient…
- Mastery Mind: Mathematics Revision
Use of functions in modelling, including consideration of limitations and refinements of the models(Pearson Edexcel A-Level)
Functions in modelling is where A-Level Mathematics becomes a tool for understanding real situations. You will learn to select a sensible trigonometric…
- Mastery Mind: Mathematics Revision
Use vectors in two dimensions and in three dimensions(Pearson Edexcel A-Level)
Vectors turn movement through a plane or space into precise algebra: they describe both size and direction. For Pearson Edexcel A-Level Mathematics, candidates…
- Mastery Mind: Mathematics Revision
Use vectors to solve problems in pure mathematics and in context (including forces)(Pearson Edexcel A-Level)
Vectors let candidates turn geometry, motion and forces into component equations. Pearson Edexcel specification 10.5 rewards clear vector relationships…
- Mastery Mind: Mathematics Revision
Vectors(WJEC A-Level)
Vectors turn movement into precise algebra: every answer combines a horizontal i-component with a vertical j-component. For WJEC A-Level Mathematics 2.1.9…
- Mastery Mind: Mathematics Revision
Volume(OCR GCSE)
Master the essential OCR GCSE Mathematics topic of Volume (3.3) with this comprehensive study guide. We break down everything from basic prisms to complex…
- Mastery Mind: Mathematics Revision
Ratio and proportion(OCR GCSE)
Master OCR GCSE Maths Topic 1.4: Ratio and Proportion. This guide breaks down simplifying ratios, sharing quantities, and tackling direct and inverse…
- Mastery Mind: Mathematics Revision
Vectors(AQA A-Level)
Master AQA A-Level Mathematics Vectors (3.12) with this comprehensive guide. We break down 3D space, geometric proofs, and magnitude calculations to show you…
- Mastery Mind: Mathematics Revision
Vectors(OCR GCSE)
Master OCR GCSE Vectors with this guide, packed with examiner tips and interactive content. We'll break down everything from basic column vectors to complex…