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### AQA – GCSE Revision Higher Mathematics

# TOPIC TITLE
1 Initial Assessment Initial Assessment

2 N

Multiples and factors
Highest common factor.

3 N

Fractions
Multiplying mixed numbers (mixed numerals)

4 N

Fractions
Dividing mixed numbers (mixed numerals)

5 N

Indices
Multiplying indices when raising a power to a power

6 N

Indices
Multiplying indices when raising to more than one term

7 N

Indices
Negative Indices

8 N

Indices
Fractional indices

9 N

Indices
Complex fractions as indices

10 N

Percentages
Calculating Percentages and Fractions of Quantities

11 N

Percentages
Introduction to percentages, including converting fract…

12 N

Percentages
Changing fractions and decimals to percentages using te…

13 N

Percentages
Changing percentages to fractions and decimals

14 N

Percentages
One quantity as a percentage of another

15 N

Percentages
Compound interest

16 N

Approximation
Significant figures

17 N

Speed
Average speed

18 N

Standard form
Scientific notation with larger numbers

19 N

Standard form
Scientific notation with small numbers

20 N

Standard form
Changing scientific notation to numerals

21 N

Surds
Introducing surds

22 N

Surds
Some rules for the operations with surds

23 N

Surds
Simplifying surds

24 N

Surds
Expanding surds

25 M

Problem solving
Area of a trapezium.

26 M

Problem solving
Area of a circle.

27 M

Problem solving
Area of regular polygons and composite figures.

28 M

Surface area
Surface area of a cube/rectangular prism.

29 M

Surface area
Surface area of a triangular/trapezoidal prism.

30 M

Surface area
Surface area of a cylinder and sphere.

31 M

Surface area
Surface area of pyramids

32 M

Surface area
Surface area of cones

33 M

Volume
Finding the volume of prisms

34 M

Volume
Volume of a cylinder and sphere.

35 M

Volume
Volume of pyramids and cones.

36 M

Volume
Composite solids.

37 G

Angles
Exterior angle theorem

38 G

Angles
More difficult exercises involving parallel lines

39 G

Angles
Angles of regular polygons

40 G

Angles
Complementary angle results.

41 G

Angles
Bearings – the compass.

42 G

Angles
Theorem – The angle at the centre of a circle is double…

43 G

Angles
Theorem – Angles in the same segment of a circle are eq…

44 G

Angles
Theorem – The angle of a semi-circle is a right angle.

45 G

Angles
Theorem – The opposite angles of a cyclic quadrilateral…

46 G

Angles
Theorem – The tangent to a circle is perpendicular to t…

47 G

Angles
Theorem – Tangents to a circle from an external point a…

48 G

Angles
Theorem – The angle between a tangent and a chord throu…

49 G

Construction
Geometric constructions

50 G

Construction
Constructions and loci – multiple conditions

51 G

Similar shapes
Similar triangles

52 G

Similar shapes
Using similar triangles to calculate lengths

53 G

Transformations
Geometry transformations without matrices: reflection (…

54 G

Transformations
Geometry transformations without matrices: translation …

55 G

Transformations
Geometry transformations without matrices: rotation (St…

56 G

Transformations
Geometry transformations without matrices: dilation or …

57 G

Triangles
Congruent triangles, Test 1 and 2

58 G

Triangles
Congruent triangles, Test 3 and 4

59 G

Pythagoras
Find the hypotenuse

60 G

Pythagoras
Find the hypotenuse Part 2

61 G

Pythagoras
Calculating a leg of a right-angled triangle

62 G

Trigonometry
Graphing the trigonometric ratios – I Sine curve.

63 G

Trigonometry
Graphing the trigonometric ratios – II Cosine curve.

64 G

Trigonometry
Graphing the trigonometric ratios – III Tangent curve.

65 G

Trigonometry
Using the trigonometric ratios to find unknown length. …

66 G

Trigonometry
Using the trigonometric ratios to find unknown length. …

67 G

Trigonometry
Using the trigonometric ratios to find unknown length. …

68 G

Trigonometry
Unknown in the denominator. [Case 4].

69 G

Trigonometry
Using the calculator to find an angle given a trigonome…

70 G

Trigonometry
The cosine rule to find an unknown side. [Case 1 SAS].

71 G

Trigonometry
The cosine rule to find an unknown angle. [Case 2 SSS].

72 G

Trigonometry
The sine rule to find an unknown side. Case 1.

73 G

Trigonometry
The sine rule to find an unknown angle. Case 2.

74 G

Trigonometry
The area formula

75 AS

Series and sequences
General sequences.

76 AS

Series and sequences
Finding Tn given Sn.

77 A

Simplifying
Products in simplification of algebraic expressions

78 A

Simplifying
Algebraic Expressions – Larger expansions.

79 A

Simplifying
Simplifying algebraic fractions.

80 A

Graphs
Quadratic polynomials of the form y = ax. + bx + c.

81 A

Equations
Equations involving grouping symbols.

82 A

Equations
Equations involving fractions.

83 A

Equations
Elimination method

84 A

Equations
Elimination method part 2

85 A

Factorising
Common factor and the difference of two squares

86 A

Factorising
Factorising quadratic trinomials [monic] – Case 2.

87 A

Factorising
Factorising quadratic trinomials [monic] – Case 3.

88 A

Factorising
Factorising quadratic trinomials [monic] – Case 4.

89 A

Factorising
Factorisation of non-monic quadratic trinomials – moon …

90 A

Simplifying
Substitution into algebraic expressions.

91 A

Formulae
Equations resulting from substitution into formulae.

92 A

Formulae
Changing the subject of the formula.

93 A

Inequalities
Solving Inequalities.

94 A

Inequalities
Solving and graphing inequalities

95 A

Roots

96 A

Roots

97 A

Roots

98 A

Matrices
Vectors

99 S

Probability
Calculating the median from a frequency distribution

100 S

Averages
Calculating mean, mode and median from grouped data

101 S

Scatter diagrams
Scatter Diagrams

102 S

Scatter diagrams
Stem and Leaf Plots along with Box and Whisker Plots

103 S

Probability
Cumulative frequency

104 S

Scatter diagrams
Frequency histograms and polygons

105 P

Probability
Rolling a pair of dice

106 P

Probability
Experimental probability

107 P

Probability
Tree diagrams – not depending on previous outcomes

108 P

Probability
Tree diagrams – depending on previous outcomes

109 End of Course Assessment End of Course Assessment