paper 2 revision - the john of gaunt...

Paper 2 Revision(compiled in light of the contents of paper1)

Higher Tier

Edexcel

1

Topic Areas

1. Data Handling

2. Number

3. Shape, Space and Measure

4. Algebra

2

Data Handling

• Averages

• Two-way table

• Simple probability

• Frequency polygon

• Combined probability

• Boxplots

• Mean from a table

• Stratified sampling

• Tree diagrams

• Histograms

3

Averages

4

Averages solution

5

Two-way Table

6

Two-way Table solution

7

Simple Probability

8

Simple probability solution

9

Frequency polygon

10

Frequency polygon solution

11

Combined probability

12

Combined probability solution

13

Boxplots

14

Boxplots solution

15

Mean from a table

16

Mean from a table solution

17

Stratified Sampling

18

Stratified Sampling solution

19

Tree Diagrams

20

Tree Diagrams solution

21

Histograms

22

Histograms solution

23

Number

• Fractions/percentage of a quantity

• Percentage change

• Reverse percentages

• Dividing quantities into a given ratio

• Recipe question

• Using a calculator

• Exchange rate

• Product of prime factors

• Compound interest

• Standard form

• Upper and lower bounds

24

Fractions/percentage of a quantity

25

Fractions/percentage of a quantitysolution

26

Percentage change

27

Percentage change solution

28

Reverse percentages

29

Reverse percentages solution

30

Dividing quantities into a given ratio

31

Dividing quantities into a given ratio solution

32

Recipe Question

33

Recipe Question solution

34

Using a calculator 1

35

Using a calculator 1 solution

36

Using a calculator 2

37

Using a calculator 2 solution

38

Exchange Rate Question

39

Exchange Rate Question solution

40

Product of prime factors

• Write 56 as a product of it’s prime numbers

41

Product of prime factors solution

42

Compound interest

43

Compound interest solution

44

Standard Form

45

Standard Form solution

46

Upper and Lower Bounds

47

Upper and Lower Bounds solution

48

Shape, space and Measure

• Polygons• Travel graphs• Translations• Enlargement• Bearings• Area and perimeter of

circles• Sector of a circle

• Constructions• Loci• Nets plans & elevations• 3D coordinates• Surface area• Circle theorems• Similar figures• SOHCAHTOA• Cosine Rule / area of a

triangle• Vectors

49

Polygons

50

Polygons solution

51

Travel graphs

52

Travel Graphs

53

Travel graphs solution

54

Translation

55

Translation solution

56

Enlargement

57

Enlargement solution

58

Bearings

59

Bearings solution

60

Area & perimeter of circles

61

Area & perimeter of circles solution

62

Constructions

63

Constructions solution

64

Loci

65

Loci solutions

66

Nets plans & elevations

67

Nets plans & elevations solution

68

3D coordinates

69

3D coordinates solution

70

Surface Area

71

Surface Area solution

72

Circle Theorems

73

Circle Theorems solution

74

Similar Figures

75

Similar Figures solution

76

SOH CAH TOA 1

77

SOH CAH TOA 1 solution

78

SOH CAH TOA 2

79

SOH CAH TOA 2 solution

80

Cosine Rule / area of a triangle

81

Cosine Rule / area of a triangle solutions 3

82

Cosine Rule / area of a triangle solutions 2

83

Sector of a circle

84

Sector of a circle solution

85

Vectors

86

Vectors solution

87

Algebra

• Expressions

• Sequences

• Expanding brackets

• Factorisation

• Trial & Improvement

• Inequalities

• Forming & solving equations

• Drawing linear graphs

• Drawing quadratic graphs

• Proportion

• Algebraic fractions

• Quadratic equations 1 –use of formula

• Quadratic equations 2 –completing the square

• Simultaneous equations 1 - linear

• Simultaneous equations 2 – non-linear

• Proof

88

Expressions

89

Expressions solution

90

Sequences

91

Sequences solution

92

Expanding brackets

93

Expanding brackets solution

94

Factorisation

95

Factorisation solution

96

Trial & Improvement

97

Trial & Improvement solution

98

Inequalities

99

Inequalities solution

100

Forming & solving equations

101

Forming & solving equations solution

102

Drawing linear graphs

103

Drawing linear graphs solution

104

Drawing quadratic graphs

105

Drawing quadratic graphs solution

106

Proportion

107

Proportion solution

108

Algebraic fractions

109

Algebraic fractions solutions 1

110

Algebraic fractions solutions 2

111

Quadratic equations 1 – quadratic formula

112

Quadratic equations 1 – quadratic formula solution

113

Quadratic equations 2 – completing the square

114

Quadratic equations 2 – completing the square solutions

115

Simultaneous equations 1 – both linear

116

Simultaneous equations 1 – both linear solution

117

Simultaneous equations 2 –one non-linear

118

Simultaneous equations 2 –one non-linear solution

119

Proof

120

Proof solutions

121