GCSE Maths Unit 3 Higher Revision List

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Percentage Problems 2 (Reverse percentage(B+), Compound Interest, etc.)

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Upper & Lower Bound Problems(B+)

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Using Fractions,(4 rules) (C/B)

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Converting a recurring decimal to a fraction(A/A*). (Prime factor denominators and link with recurring) (A/A*)

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Standard Form Problems(B+) & exponential growth/decay(A/A*)

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Algebra:- Factorising(C/D)

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Common Factors(C/B), Quadratics(B+)& Harder Algebraic Fractions(A/A*)

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Algebra(C/D)

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Substitution(C/B) and Solving Linear Equations (C/D)& Inequalities(C/B)

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Changing the Subject 2(C/B), (The variable may appear twice) (A/A*)

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Direct & Inverse Proportion(A/A*)

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Real Life Graphs 2(C/B)

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Simultaneous Equations(B+)and Trial & Improvement(C/B)

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Quadratic Equationsby Factorising(B+),

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Using the formula,and/ or Completing the Square(A/A*)

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Harder Simultaneous Equations(A/A*) (One linear & One Quadratic), Circle x2 + y2 = r2

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Graphical and algebraic intersections of 2 lines (A/A*) or a Line & Circle)

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y=mx+c(C/B)

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Curved Graphs(B+)

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Quadratic(B+), Cubic(B+), Reciprocal(B+) and Circle x2 + y2 = r2

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Intersecting Graphs(A/A*), Inequalities(B+), and Transforming graphs(A/A*), e.g. y = f(x+3), y =2f(x) etc. (A/A*)

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Angle Facts (C/D) & Shapes 2

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(Bearings & Congruence) (C/D)

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Transformations & Congruency (C/B)

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(Enlargements with +/- /fractional Scale Factors(A/A*))

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Pythagoras(C/B), Similarity (A/A*)&Trigonometry(B+)

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3D Trigonometry and Sine/Cosine Rules(A/A*)

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Trigonometric Graphs & Transforming them. (A/A*)

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Circle Theorems(B+)

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Link with Circle Geometry (Unit 2)

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(Proofs may be required(A/A*))

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2D & 3D Shapes(B+)

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Calculating areas of sectors and segments (A/A*)

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Volumes of Solids (incl. Density) (B+)

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Similar Shapes

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Ratios of Length, Area & Volume(A/A*)

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Vector Geometry(A/A*) (Link with Translations(A/A*))

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Constructions & Loci

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Converting square units of measure(B+)

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Place Value & Rounding

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Multiples, Factors & Prime Factors

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HCF & LCM

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Powers, Roots, & Laws of Indices

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Fractions, Decimals & Percentages

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Converting a recurring decimal to a fraction.

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Percentage Problems 1 (Repeated Percentages)

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Negative and Fractional Indices

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& Standard Form

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Expressing Answers in Exact Form. Manipulating Surds and Rationalising

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*Ratio : Simplifying and Problems

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Decimal Places & Significant Figures

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Calculations (Mult/Div by powers of 10,

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Basic Algebra (Vocabulary)

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Factorising

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Common Factors, Quadratics &

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Algebraic Fractions

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*Formulae, Substitution &

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Changing the Subject 1

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Sequences & Number Patterns (nth term)

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Coordinates (Mid-points & 3D coords)

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Graphs 1 Straight Lines

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[From a given Equation]

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Graphs 2 y=mx+c

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*Parallel & Perpendicular lines

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*Real Life Graphs 1 (including Conversion graphs)

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Angle Facts & Shapes 1(Parallel Lines)

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*Polygons=(Proofs of key angle and triangle facts)

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Circle Geometry 1=(Vocabulary of Circle including Sector/Segment)

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Tangent Angle properties & proofs

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Compound Measures

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Speed Calculations

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Area, Perimeter & Volume

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*Symmetry (Line & Rotational)

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Nets, Views & Tessellations

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Metric & Imperial Units (including approx. conversions)