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 semi-circle 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 right-angled 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 non-monic 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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