OCR – 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 | Completing the square | Roots |
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| 97 | The quadratic formula | Roots |
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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 – OCR | Review of all course work |
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