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520·Mathematics · A Level

A Level Pure Mathematics
Revision Guide

A Level Pure Maths revision guide for secondary schools

The whole of A level pure mathematics, one page for each section of the DfE’s subject content: proof, algebra and functions, coordinate geometry, sequences and series, trigonometry, exponentials and logarithms, differentiation, integration, numerical methods and vectors. Every page opens with a large diagram of the section beside its key results, every formula students must know by heart marked, then three core ideas, a worked example with its own diagram, three misconceptions, what is AS and what is A level, and a cover-and-test grid. Every formula is properly typeset, and every number in a worked example is recomputed before the guide is built.

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    Cover of A Level Pure Mathematics Revision Guide

    Pure mathematics, section by section, in the order the Department for Education sets it out. Each page opens with one large diagram that shows the section at a glance: four transformations of a single curve, a circle with its three facts marked on it, the strips that estimate an area, a root closed in on step by step. Beside it are the key results, with the split between AS and A level content underneath. A result on the DfE’s list of formulae students must use without being given them is marked, so it is clear what has to be learned by heart and what is provided.

    Below that come the three ideas the section turns on, each with a figure or a line of typeset working, and then the section in use: a worked example with its own diagram and every step justified, the three misconceptions that most often cost marks, and eight quick questions to cover and test. Nothing is taken from a board’s specification, so the guide holds whichever board a student is sitting.

    Written to
    The DfE’s AS and A level subject content for mathematics (DFE-00706-2014), sections A to J, with the AS content read off its square brackets and the must-know formulae taken from its Appendix B; no board’s specification
    Intended for
    A level students revising the whole of pure mathematics, and for teachers setting structured revision
    Extent
    10 pages · 10 sections

    ·Look inside

    Real pages, straight from the PDF

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    ·Contents

    All 10 sections

    Taken from the booklet’s own contents page, so the page numbers are the real ones.

    01Proofp1
    02Algebra and Functionsp2
    03Coordinate Geometryp3
    04Sequences and Seriesp4
    05Trigonometryp5
    06Exponentials and Logarithmsp6
    07Differentiationp7
    08Integrationp8
    09Numerical Methodsp9
    10Vectorsp10
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