AQA GCSE Revision Higher Mathematics – England
KS5 – Statistics Mathematics
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1  Highest common factor.  Multiples and factors 
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2  Multiplying mixed numbers (mixed numerals)  Fractions 
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3  Dividing mixed numbers (mixed numerals)  Fractions 
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4  Multiplying indices when raising a power to a power  Indices 
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5  Multiplying indices when raising to more than one term  Indices 
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6  Negative Indices  Indices 
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7  Fractional indices  Indices 
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8  Complex fractions as indices  Indices 
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9  Calculating Percentages and Fractions of Quantities  Percentages 
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10  Introduction to percentages, including converting fract…  Percentages 
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11  Changing fractions and decimals to percentages using te…  Percentages 
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12  Changing percentages to fractions and decimals  Percentages 
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13  One quantity as a percentage of another  Percentages 
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14  Compound interest  Percentages 
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15  Significant figures  Approximation 
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16  Average speed  Speed 
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17  Scientific notation with larger numbers  Standard form 
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18  Scientific notation with small numbers  Standard form 
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19  Changing scientific notation to numerals  Standard form 
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20  Introducing surds  Surds 
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21  Some rules for the operations with surds  Surds 
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22  Simplifying surds  Surds 
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23  Expanding surds  Surds 
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24  Area of a trapezium.  Problem solving 
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25  Area of a circle.  Problem solving 
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26  Area of regular polygons and composite figures.  Problem solving 
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27  Surface area of a cube/rectangular prism.  Surface area 
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28  Surface area of a triangular/trapezoidal prism.  Surface area 
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29  Surface area of a cylinder and sphere.  Surface area 
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30  Surface area of pyramids  Surface area 
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31  Surface area of cones  Surface area 
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32  Finding the volume of prisms  Volume 
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33  Volume of a cylinder and sphere.  Volume 
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34  Volume of pyramids and cones.  Volume 
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35  Composite solids.  Volume 
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36  Exterior angle theorem  Angles 
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37  More difficult exercises involving parallel lines  Angles 
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38  Angles of regular polygons  Angles 
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39  Complementary angle results.  Angles 
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40  Bearings – the compass.  Angles 
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41  Theorem – The angle at the centre of a circle is double…  Angles 
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42  Theorem – Angles in the same segment of a circle are eq…  Angles 
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43  Theorem – The angle of a semicircle is a right angle.  Angles 
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44  Theorem – The opposite angles of a cyclic quadrilateral…  Angles 
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45  Theorem – The tangent to a circle is perpendicular to t…  Angles 
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46  Theorem – Tangents to a circle from an external point a…  Angles 
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47  Theorem – The angle between a tangent and a chord throu…  Angles 
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48  Geometric constructions  Construction 
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49  Constructions and loci – multiple conditions  Construction 
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50  Similar triangles  Similar shapes 
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51  Using similar triangles to calculate lengths  Similar shapes 
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52  Geometry transformations without matrices: reflection (…  Transformations 
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53  Geometry transformations without matrices: translation …  Transformations 
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54  Geometry transformations without matrices: rotation (St…  Transformations 
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55  Geometry transformations without matrices: dilation or …  Transformations 
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56  Congruent triangles, Test 1 and 2  Triangles 
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57  Congruent triangles, Test 3 and 4  Triangles 
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58  Find the hypotenuse  Pythagoras 
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59  Find the hypotenuse Part 2  Pythagoras 
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60  Calculating a leg of a rightangled triangle  Pythagoras 
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61  Graphing the trigonometric ratios – I Sine curve.  Trigonometry 
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62  Graphing the trigonometric ratios – II Cosine curve.  Trigonometry 
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63  Graphing the trigonometric ratios – III Tangent curve.  Trigonometry 
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64  Using the trigonometric ratios to find unknown length. …  Trigonometry 
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65  Using the trigonometric ratios to find unknown length. …  Trigonometry 
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66  Using the trigonometric ratios to find unknown length. …  Trigonometry 
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67  Unknown in the denominator. [Case 4].  Trigonometry 
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68  Using the calculator to find an angle given a trigonome…  Trigonometry 
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69  The cosine rule to find an unknown side. [Case 1 SAS].  Trigonometry 
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70  The cosine rule to find an unknown angle. [Case 2 SSS].  Trigonometry 
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71  The sine rule to find an unknown side. Case 1.  Trigonometry 
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72  The sine rule to find an unknown angle. Case 2.  Trigonometry 
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73  The area formula  Trigonometry 
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74  General sequences.  Series and sequences 
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75  Finding Tn given Sn.  Series and sequences 
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76  Products in simplification of algebraic expressions  Simplifying 
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77  Algebraic Expressions – Larger expansions.  Simplifying 
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78  Simplifying algebraic fractions.  Simplifying 
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79  Quadratic polynomials of the form y = ax. + bx + c.  Graphs 
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80  Equations involving grouping symbols.  Equations 
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81  Equations involving fractions.  Equations 
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82  Elimination method  Equations 
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83  Elimination method part 2  Equations 
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84  Common factor and the difference of two squares  Factorising 
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85  Factorising quadratic trinomials [monic] – Case 2.  Factorising 
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86  Factorising quadratic trinomials [monic] – Case 3.  Factorising 
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87  Factorising quadratic trinomials [monic] – Case 4.  Factorising 
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88  Factorisation of nonmonic quadratic trinomials – moon …  Factorising 
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89  Substitution into algebraic expressions.  Simplifying 
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90  Equations resulting from substitution into formulae.  Formulae 
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91  Changing the subject of the formula.  Formulae 
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92  Solving Inequalities.  Inequalities 
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93  Solving and graphing inequalities  Inequalities 
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94  Quadratic equations with factorisation.  Roots 
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95  Solving quadratic equations.  Roots 
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96  The quadratic formula  Roots 
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97  Vectors  Matrices 
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98  Calculating the median from a frequency distribution  Probability 
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99  Calculating mean, mode and median from grouped data  Averages 
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100  Scatter Diagrams  Scatter diagrams 
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101  Stem and Leaf Plots along with Box and Whisker Plots  Scatter diagrams 
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102  Cumulative frequency  Probability 
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103  Frequency histograms and polygons  Scatter diagrams 
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104  Rolling a pair of dice  Probability 
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105  Experimental probability  Probability 
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106  Tree diagrams – not depending on previous outcomes  Probability 
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107  Tree diagrams – depending on previous outcomes  Probability 
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108  Final Review of GCSE Revision Higher – AQA  Review of all course work 
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