Math Topic · A-Level Maths

Probability Generating Functions

Real exam questions on probability generating functions, filterable by calculator use and difficulty, with the official question and mark-scheme PDFs.

200 exam questionsQuestion + answer PDFs
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1
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JUNE/17 Paper 2 · 3 marks · Question 1
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2
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JAN 18 S2 · 2 marks · Question 1a
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3
Calculator: NoDifficulty: Easy
NOV/17 Paper 2 · 1 marks · Question 1a
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4
Calculator: YesDifficulty: Easy
JUNE 18 A2 Paper 3 · 2 marks · Question 1a
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5
Calculator: NoDifficulty: Easy
NOV/17 Paper 2 · 1 marks · Question 1b
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6
Calculator: YesDifficulty: Medium
JAN 18 S2 · 3 marks · Question 1b
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7
Calculator: NoDifficulty: Medium
NOV/17 Paper 2 · 1 marks · Question 1c
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8
Calculator: YesDifficulty: Medium
JAN 18 S2 · 4 marks · Question 1c
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9
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NOV/17 Paper 3 · 1 marks · Question 2
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10
Calculator: YesDifficulty: Easy
JAN 18 S1 · 1 marks · Question 2a
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11
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JAN 18 S2 · 2 marks · Question 2a
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12
Calculator: YesDifficulty: Medium
OCT 17 S2 · 4 marks · Question 2a
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13
Calculator: YesDifficulty: Easy
OCT 17 S1 · 1 marks · Question 2a
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14
Calculator: YesDifficulty: Easy
JUNE 18 AS FM FStats2 · 1 marks · Question 2a
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15
Calculator: YesDifficulty: Medium
OCT 17 S2 · 1 marks · Question 2b
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16
Calculator: YesDifficulty: Easy
JUNE 18 AS FM FStats2 · 2 marks · Question 2b
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17
Calculator: YesDifficulty: Medium
JAN 18 S2 · 4 marks · Question 2b
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18
Calculator: YesDifficulty: Easy
OCT 17 S1 · 1 marks · Question 2b
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19
Calculator: YesDifficulty: Medium
JAN 18 S1 · 2 marks · Question 2bi
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20
Calculator: YesDifficulty: Medium
JAN 18 S1 · 1 marks · Question 2bii
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21
Calculator: YesDifficulty: Hard
OCT 17 S2 · 6 marks · Question 2c
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22
Calculator: YesDifficulty: Medium
JAN 18 S2 · 2 marks · Question 2c
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23
Calculator: YesDifficulty: Easy
OCT 17 S1 · 4 marks · Question 2c
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24
Calculator: YesDifficulty: Medium
JUNE 18 AS FM FStats2 · 2 marks · Question 2c
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25
Calculator: YesDifficulty: Medium
JAN 18 S1 · 3 marks · Question 2ci
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26
Calculator: YesDifficulty: Hard
JAN 18 S1 · 1 marks · Question 2cii
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27
Calculator: YesDifficulty: Medium
OCT 17 S1 · 1 marks · Question 2d
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28
Calculator: YesDifficulty: Medium
OCT 17 S2 · 2 marks · Question 2d
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29
Calculator: YesDifficulty: Medium
JUNE 18 AS FM FStats2 · 3 marks · Question 2d
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30
Calculator: YesDifficulty: Medium
OCT 17 S1 · 1 marks · Question 2e
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31
Calculator: YesDifficulty: Hard
OCT 17 S2 · 5 marks · Question 2e
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32
Calculator: YesDifficulty: Medium
OCT 17 S1 · 3 marks · Question 2f
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33
Calculator: NoDifficulty: Easy
NOV/18 Paper 5 · 1 marks · Question 3a
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34
Calculator: YesDifficulty: Medium
JUNE 17 S2 · 2 marks · Question 3a
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35
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 3a
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36
Calculator: YesDifficulty: Medium
OCT 18 S2 · 3 marks · Question 3a
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37
Calculator: YesDifficulty: Easy
JAN 18 S2 · 2 marks · Question 3a
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38
Calculator: NoDifficulty: Medium
NOV/18 Paper 5 · 2 marks · Question 3b
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39
Calculator: YesDifficulty: Easy
JUNE 18 S1 · 1 marks · Question 3b
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40
Calculator: YesDifficulty: Medium
OCT 18 S2 · 3 marks · Question 3b
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41
Calculator: YesDifficulty: Medium
JUNE 17 S2 · 5 marks · Question 3b
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42
Calculator: YesDifficulty: Medium
JAN 18 S2 · 1 marks · Question 3c
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43
Calculator: YesDifficulty: Medium
JUNE 17 S2 · 5 marks · Question 3c
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44
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 3 · 2 marks · Question 3c
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45
Calculator: YesDifficulty: Easy
JUNE 18 S1 · 2 marks · Question 3c
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46
Calculator: YesDifficulty: Easy
OCT 18 S2 · 3 marks · Question 3c
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47
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 3d
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48
Calculator: YesDifficulty: Hard
JUNE 18 A2 Paper 3 · 4 marks · Question 3d
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49
Calculator: YesDifficulty: Medium
JAN 18 S2 · 1 marks · Question 3d
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50
Calculator: YesDifficulty: Medium
OCT 18 S2 · 3 marks · Question 3d
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51
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 3 · 1 marks · Question 3e
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52
Calculator: YesDifficulty: Medium
JAN 18 S2 · 3 marks · Question 3e
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53
Calculator: YesDifficulty: Easy
JUNE 18 A2 Paper 3 · 1 marks · Question 3f
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54
Calculator: YesDifficulty: Medium
NOV/17 Paper 2 · 3 marks · Question 4
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55
Calculator: YesDifficulty: Easy
JUNE 18 S1 · 2 marks · Question 4a
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56
Calculator: YesDifficulty: Easy
OCT 18 S1 · 1 marks · Question 4a
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57
Calculator: YesDifficulty: Easy
JUNE 17 S1 · 3 marks · Question 4a
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58
Calculator: YesDifficulty: Easy
NOV/17 Paper 6 · 1 marks · Question 4a
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59
Calculator: YesDifficulty: Hard
OCT 18 S2 · 2 marks · Question 4a
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60
Calculator: YesDifficulty: Medium
OCT 17 S1 · 6 marks · Question 4a
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61
Calculator: YesDifficulty: Medium
OCT 18 S1 · 4 marks · Question 4b
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62
Calculator: YesDifficulty: Medium
OCT 17 S1 · 2 marks · Question 4b
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63
Calculator: YesDifficulty: Medium
NOV/17 Paper 6 · 2 marks · Question 4b
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64
Calculator: YesDifficulty: Hard
OCT 18 S2 · 3 marks · Question 4b
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65
Calculator: YesDifficulty: Easy
JUNE 18 S1 · 1 marks · Question 4b
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66
Calculator: YesDifficulty: Medium
JUNE 17 S1 · 2 marks · Question 4c
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67
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 4c
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68
Calculator: YesDifficulty: HArd
OCT 18 S2 · 1 marks · Question 4c
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69
Calculator: YesDifficulty: Medium
NOV/17 Paper 6 · 1 marks · Question 4c
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70
Calculator: YesDifficulty: Medium
OCT 18 S1 · 2 marks · Question 4c
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71
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 4d
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72
Calculator: YesDifficulty: Medium
OCT 18 S1 · 3 marks · Question 4d
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73
Calculator: YesDifficulty: Medium
JAN 18 S1 · 2 marks · Question 4di
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74
Calculator: YesDifficulty: Hard
JAN 18 S1 · 2 marks · Question 4dii
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75
Calculator: YesDifficulty: Hard
JUNE 18 S1 · 3 marks · Question 4e
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76
Calculator: YesDifficulty: Medium
JUNE/17 Paper 3 · 2 marks · Question 5
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77
Calculator: YesDifficulty: Easy
JUNE/17 Paper 2 · 1 marks · Question 5a
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78
Calculator: YesDifficulty: Medium
JUNE 18 AS Paper 2 · 2 marks · Question 5a
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79
Calculator: NoDifficulty: Easy
JUNE/18 Paper 5 · 2 marks · Question 5a
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80
Calculator: YesDifficulty: Easy
JUNE 18 S1 · 1 marks · Question 5e
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81
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 5f
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82
Calculator: YesDifficulty: Easy
NOV/18 Paper 3 · 1 marks · Question 6a
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83
Calculator: YesDifficulty: Easy
JAN 18 S1 · 1 marks · Question 6a
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84
Calculator: YesDifficulty: Medium
JUNE 18 S2 · 3 marks · Question 6a
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85
Calculator: YesDifficulty: Medium
JUNE/18 Paper 3 · 4 marks · Question 6a
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86
Calculator: YesDifficulty: Easy
JUNE/17 Paper 6 · 2 marks · Question 6ai
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87
Calculator: YesDifficulty: Easy
JUNE/17 Paper 3 · 1 marks · Question 6ai
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88
Calculator: YesDifficulty: Medium
JUNE/17 Paper 6 · 2 marks · Question 6aii
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89
Calculator: YesDifficulty: Easy
JUNE/17 Paper 3 · 1 marks · Question 6aii
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90
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 1 marks · Question 6b
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91
Calculator: YesDifficulty: Medium
JUNE/18 Paper 3 · 1 marks · Question 6b
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92
Calculator: YesDifficulty: Medium
JUNE 18 S2 · 3 marks · Question 6b
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93
Calculator: YesDifficulty: Hard
JUNE/17 Paper 6 · 3 marks · Question 6b
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94
Calculator: YesDifficulty: Easy
JAN 18 S1 · 3 marks · Question 6b
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95
Calculator: YesDifficulty: Medium
OCT 17 S1 · 2 marks · Question 6b
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96
Calculator: YesDifficulty: Medium
OCT 17 S1 · 1 marks · Question 6c
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97
Calculator: YesDifficulty: Easy
JAN 18 S1 · 2 marks · Question 6c
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98
Calculator: YesDifficulty: Medium
JUNE 18 S2 · 2 marks · Question 6d
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99
Calculator: YesDifficulty: Medium
JAN 18 S1 · 2 marks · Question 6d
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100
Calculator: YesDifficulty: Medium
JUNE 18 S2 · 2 marks · Question 6e
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101
Calculator: YesDifficulty: Medium
JAN 18 S1 · 3 marks · Question 6e
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102
Calculator: YesDifficulty: Medium
OCT 17 S1 · 2 marks · Question 6f
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103
Calculator: YesDifficulty: Hard
JUNE 17 S1 · 4 marks · Question 6g
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104
Calculator: YesDifficulty: HARD
OCT 17 S1 · 3 marks · Question 6h
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105
Calculator: NoDifficulty: Medium
JUNE/17 Paper 2 · 4 marks · Question 7
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106
Calculator: YesDifficulty: Easy
NOV/17 Paper 1 · 2 marks · Question 7
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107
Calculator: YesDifficulty: Medium
NOV/18 Paper 6 · 2 marks · Question 7a
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108
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 3 marks · Question 7a
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109
Calculator: YesDifficulty: Easy
JAN 18 S2 · 3 marks · Question 7a
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110
Calculator: YesDifficulty: Medium
JUNE/18 Paper 2 · 2 marks · Question 7a
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111
Calculator: YesDifficulty: Easy
JUNE/18 Paper 2 · 1 marks · Question 7b
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112
Calculator: YesDifficulty: HArd
JUNE 18 S1 · 2 marks · Question 7b
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113
Calculator: YesDifficulty: Medium
NOV/17 Paper 3 · 1 marks · Question 7bi
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114
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 2 marks · Question 7c
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115
Calculator: YesDifficulty: Medium
JUNE 18 S1 · 5 marks · Question 7d
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116
Calculator: NoDifficulty: Medium
NOV/18 Paper 1 · 1 marks · Question 8a
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117
Calculator: NoDifficulty: Easy
JUNE/18 Paper 5 · 1 marks · Question 8a
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118
Calculator: NoDifficulty: Easy
JUNE/18 Paper 1 · 1 marks · Question 8a
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119
Calculator: YesDifficulty: Easy
NOV/17 Paper 3 · 1 marks · Question 8a
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120
Calculator: NoDifficulty: Easy
JUNE/18 Paper 1 · 1 marks · Question 8b
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121
Calculator: YesDifficulty: Easy
NOV/17 Paper 3 · 2 marks · Question 8b
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122
Calculator: NoDifficulty: Easy
JUNE/18 Paper 5 · 2 marks · Question 8bi
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123
Calculator: NoDifficulty: Medium
JUNE/18 Paper 5 · 2 marks · Question 8bii
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124
Calculator: NoDifficulty: Medium
JUNE/17 Paper 5 · 3 marks · Question 9
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125
Calculator: YesDifficulty: Hard
JUNE/17 Paper 2 · 4 marks · Question 9
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126
Calculator: YesDifficulty: Easy
JUNE/18 Paper 3 · 1 marks · Question 9a
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127
Calculator: NoDifficulty: Easy
NOV/17 Paper 1 · 1 marks · Question 9a
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128
Calculator: YesDifficulty: Hard
JUNE/17 Paper 3 · 3 marks · Question 9a
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129
Calculator: YesDifficulty: Easy
JUNE/17 Paper 3 · 1 marks · Question 9b
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130
Calculator: YesDifficulty: Hard
JUNE/17 Paper 3 · 2 marks · Question 9b
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131
Calculator: YesDifficulty: Easy
NOV/17 Paper 3 · 1 marks · Question 10a
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132
Calculator: YesDifficulty: Easy
NOV/18 Paper 3 · 1 marks · Question 10a
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133
Calculator: YesDifficulty: Hard
NOV/17 Paper 3 · 2 marks · Question 10b
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134
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 1 marks · Question 10b
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135
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 2 marks · Question 10c
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136
Calculator: YesDifficulty: Easy
JUNE 18 AS Paper 1 · 2 marks · Question 10i
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137
Calculator: YesDifficulty: Medium
NOV/17 Paper 3 · 3 marks · Question 11
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138
Calculator: YesDifficulty: Easy
JUNE 18 A2 Paper 3 · 1 marks · Question 11
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139
Calculator: NoDifficulty: Easy
NOV/18 Paper 1 · 1 marks · Question 11a
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140
Calculator: NoDifficulty: Medium
NOV/18 Paper 1 · 2 marks · Question 11b
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141
Calculator: YesDifficulty: Medium
NOV/18 Paper 2 · 2 marks · Question 12
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142
Calculator: YesDifficulty: Hard
NOV/17 Paper 3 · 3 marks · Question 12
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143
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 2 · 2 marks · Question 12i
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144
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 2 · 1 marks · Question 12ii
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145
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 2 · 2 marks · Question 12iii
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146
Calculator: YesDifficulty: Hard
JUNE 18 A2 Paper 2 · 2 marks · Question 12v
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147
Calculator: YesDifficulty: Hard
JUNE 18 A2 Paper 2 · 1 marks · Question 12vi
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148
Calculator: YesDifficulty: Easy
JUNE 18 AS Paper 2 · 1 marks · Question 13
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149
Calculator: NoDifficulty: Easy
NOV/17 Paper 1 · 2 marks · Question 13
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150
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 1 marks · Question 13
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151
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 2 marks · Question 13a
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152
Calculator: NoDifficulty: Medium
NOV/17 Paper 1 · 2 marks · Question 13b
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153
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 1 marks · Question 13b
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154
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 2 marks · Question 13c
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155
Calculator: YesDifficulty: Hard
JUNE 18 A2 Paper 2 · 4 marks · Question 13iiia
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156
Calculator: YesDifficulty: Medium
JUNE 18 A2 Paper 2 · 2 marks · Question 13iiib
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157
Calculator: YesDifficulty: Easy
NOV/18 Paper 3 · 1 marks · Question 14a
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158
Calculator: NoDifficulty: Medium
NOV/17 Paper 5 · 2 marks · Question 14a
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159
Calculator: YesDifficulty: Easy
NOV/18 Paper 2 · 1 marks · Question 14a
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160
Calculator: YesDifficulty: Easy
NOV/18 Paper 3 · 1 marks · Question 14b
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161
Calculator: YesDifficulty: Medium
JUNE/18 Paper 3 · 2 marks · Question 14b
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162
Calculator: NoDifficulty: Medium
NOV/17 Paper 5 · 4 marks · Question 14b
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163
Calculator: YesDifficulty: Easy
NOV/18 Paper 2 · 1 marks · Question 14b
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164
Calculator: NoDifficulty: Hard
JUNE/17 Paper 1 · 1 marks · Question 14b
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165
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 2 marks · Question 14c
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166
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 3 marks · Question 15
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167
Calculator: NoDifficulty: Medium
NOV/17 Paper 1 · 2 marks · Question 15b
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168
Calculator: YesDifficulty: Medium
JUNE/18 Paper 1 · 4 marks · Question 16
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169
Calculator: YesDifficulty: Medium
NOV/18 Paper 3 · 4 marks · Question 16
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170
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 3 marks · Question 16
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171
Calculator: NoDifficulty: Medium
JUNE/17 Paper 1 · 4 marks · Question 17
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172
Calculator: NoDifficulty: Hard
NOV/18 Paper 1 · 2 marks · Question 17b
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173
Calculator: NoDifficulty: Easy
JUNE/18 Paper 2 · 2 marks · Question 18a
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174
Calculator: YesDifficulty: Medium
NOV/18 Paper 2 · 2 marks · Question 18a
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175
Calculator: NoDifficulty: Hard
JUNE/18 Paper 2 · 3 marks · Question 18b
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176
Calculator: YesDifficulty: Hard
NOV/18 Paper 2 · 3 marks · Question 18b
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177
Calculator: YesDifficulty: Easy
JUNE/18 Paper 3 · 1 marks · Question 20
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178
Calculator: YesDifficulty: Easy
JUNE/17 Paper 2 · 1 marks · Question 20a
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179
Calculator: YesDifficulty: Easy
JUNE/17 Paper 3 · 2 marks · Question 20ai
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180
Calculator: YesDifficulty: Medium
JUNE/17 Paper 3 · 2 marks · Question 20aii
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181
Calculator: YesDifficulty: Medium
JUNE/17 Paper 2 · 1 marks · Question 20b
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182
Calculator: YesDifficulty: Hard
JUNE/17 Paper 3 · 3 marks · Question 20b
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183
Calculator: YesDifficulty: Hard
NOV/18 Paper 2 · 2 marks · Question 20b
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184
Calculator: NoDifficulty: Medium
NOV/18 Paper 1 · 3 marks · Question 21
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185
Calculator: YesDifficulty: Medium
NOV/17 Paper 2 · 2 marks · Question 21a
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186
Calculator: YesDifficulty: Easy
NOV/17 Paper 2 · 2 marks · Question 21a
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187
Calculator: YesDifficulty: Medium
NOV/17 Paper 2 · 2 marks · Question 21b
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188
Calculator: YesDifficulty: Medium
NOV/17 Paper 2 · 2 marks · Question 21b
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189
Calculator: NoDifficulty: Hard
NOV/18 Paper 1 · 6 marks · Question 22
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190
Calculator: YesDifficulty: Medium
JUNE/18 Paper 3 · 4 marks · Question 24a
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191
Calculator: YesDifficulty: Medium
JUNE/18 Paper 3 · 1 marks · Question 24b
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192
Calculator: YesDifficulty: Hard
JUNE/17 Paper 2 · 4 marks · Question 25
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193
Calculator: YesDifficulty: Hard
JUNE/18 Paper 2 · 2 marks · Question 25a
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194
Calculator: YesDifficulty: Hard
JUNE/17 Paper 3 · 2 marks · Question 25b
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195
Calculator: YesDifficulty: Hard
JUNE/18 Paper 2 · 1 marks · Question 25b
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196
Calculator: YesDifficulty: Hard
JUNE/18 Paper 3 · 3 marks · Question 27
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197
Calculator: NoDifficulty: Medium
NOV/18 Paper 1 · 1 marks · Question 27a
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198
Calculator: NoDifficulty: Hard
JUNE/18 Paper 1 · 1 marks · Question 27a
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199
Calculator: NoDifficulty: Medium
JUNE/18 Paper 1 · 1 marks · Question 27b
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200
Calculator: NoDifficulty: Hard
NOV/18 Paper 1 · 2 marks · Question 27b
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Probability Generating Functions
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