Episodi

  • 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)

    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
    Partial fractions turn a complicated rational function into simpler pieces that reveal the marks in integration, differentiation and series questions. For Pearson Edexcel 2.10, success comes from reading the denominator accurately, choosing the compulsory form, and using a disciplined identity to find each constant. Listen to this audio revision guide for 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). Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-pearson edexcel-a-level-decompose-rational-functions-into-partial-fractions-denominators-not-more-complicated-than-squared-linear-terms-and-with-no-more-than-3-terms-numerators-constant-or.
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    5 min
  • 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)

    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
    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 routines and solution strategies that convert directly into marks on Pure Mathematics papers. Listen to this audio revision guide for 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. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-pearson edexcel-a-level-understand-and-use-the-sine-cosine-and-tangent-functions-their-graphs-symmetries-and-periodicity-know-and-use-exact-values-of-sin-and-cos-for-0-6-4-3-2-and-multiple.
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    5 min
  • N: Statistical distributions(AQA A-Level)

    N: Statistical distributions(AQA A-Level)
    Oct 20 2026
    Statistical distributions turn uncertainty into marks: you decide whether a situation is Binomial or Normal, then use your calculator with defensible notation and clear interpretation. AQA rewards candidates who can challenge a weak model as confidently as they can calculate a probability, so this topic is about mathematical judgement as well as accuracy. Listen to this audio revision guide for N: Statistical distributions. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-aqa-a-level-n-statistical-distributions.
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    5 min
  • 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)

    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
    Differentiation 7.2 is your standard-function toolkit: rational powers, exponentials, trigonometric functions and logarithms all become gradients with a small set of exact rules. Pearson Edexcel rewards disciplined working, especially where a coefficient, a minus sign, an inner factor or a \(\ln a\) is easy to miss. Secure these rules and you unlock direct differentiation marks plus tangents, normals, stationary points and modelling questions. Listen to this audio revision guide for 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. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-pearson edexcel-a-level-differentiate-x-for-rational-values-of-n-and-related-constant-multiples-sums-and-differences-differentiate-e-and-a-sin-kx-cos-kx-tan-kx-and-related-sums-differences.
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    5 min
  • Differentiation(WJEC A-Level)

    Differentiation(WJEC A-Level)
    Oct 20 2026
    Differentiation is the WJEC A-Level tool for converting a curve into precise information about gradient, change and optimum values. Master the route from derivative to interpretation and you can pick up marks across tangents, normals, stationary points, graphs and modelling. Listen to this audio revision guide for Differentiation. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-wjec-a-level-differentiation.
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    5 min
  • Algebra and Functions(WJEC A-Level)

    Algebra and Functions(WJEC A-Level)
    Oct 20 2026
    Algebra and Functions is where WJEC A-Level Mathematics becomes a connected system: exact manipulation produces equations, equations produce graphs, and graphs explain the answers. Mastering these routines protects method marks across the AS Unit 1 paper and prepares you for coordinate geometry, calculus and modelling. Listen to this audio revision guide for Algebra and Functions. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-wjec-a-level-algebra-and-functions.
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    5 min
  • Use and manipulate surds, including rationalising the denominator(Pearson Edexcel A-Level)

    Use and manipulate surds, including rationalising the denominator(Pearson Edexcel A-Level)
    Oct 20 2026
    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 expressions and rationalise denominators to achieve perfect precision in your calculations. Listen to this audio revision guide for Use and manipulate surds, including rationalising the denominator. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-edexcel-a-level-use-and-manipulate-surds-including-rationalising-the-denominator.
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    5 min
  • 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)

    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
    Reciprocal and inverse trigonometric functions reward accuracy because a single denominator, asymptote or principal range controls the whole answer. Master the difference between a ratio and an angle-returning function, and Edexcel graph, domain/range and equation questions become a predictable source of marks. Listen to this audio revision guide for 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. Test your knowledge with interactive exam questions and flashcards at https://masterymind.co.uk/study-guides/mathematics-pearson edexcel-a-level-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-.
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    5 min