GCSE Mathematics (Instant Revision)

GCSE Mathematics (Instant Revision)
......Page 128
Cover Image......Page 1
Title Page......Page 2
Copyright 0007129815......Page 3
Table of Contents......Page 4
2 Check yourself questions – find out how much
you know and boost your grade
......Page 5
3 The Score chart – an instant picture of your
strengths and weaknesses
......Page 6
Prime factors......Page 7
Directed numbers......Page 8
Zero powers......Page 9
Decimal places......Page 10
Dividing......Page 11
Imperial/metric units......Page 12
Multiplication of fractions......Page 13
Decimals to fractions......Page 14
Percentage change......Page 15
Reverse percentages......Page 16
Check Yourself
Number 1–10......Page 17
Answers and Tutorials......Page 18
Proportional parts......Page 21
Multiplying and dividing......Page 22
Density......Page 23
Simple and compound interest......Page 24
Check Yourself Number 11–14......Page 25
Answers and Tutorials
......Page 26
Recurring decimals......Page 29
Fractional indices......Page 30
Direct and inverse proportion......Page 31
Upper and lower bounds......Page 32
Check Yourself
Number 15–18 (higher tier)......Page 33
Answers and Tutorials
......Page 34
Multiplying and dividing terms......Page 35
Factorising into brackets......Page 36
Expanding and factorising......Page 37
Solving inequalities......Page 38
Linear sequences......Page 39
Fibonacci sequence......Page 40
Check Yourself Algebra 1–6......Page 41
Answers and Tutorials......Page 42
Quadratic and cubic graphs......Page 45
Graphing inequalities......Page 46
Solution by factors......Page 47
Trial and improvement methods......Page 48
Graphical solution of simultaneous equations......Page 49
Method of elimination......Page 50
Check Yourself
Algebra 7–12......Page 51
Answers and Tutorials......Page 52
Trapezium rule......Page 55
Using the trapezium rule......Page 56
Gradient and tangents......Page 57
Gradient of a graph......Page 58
Solving quadratics using the formula......Page 59
Solving quadratics using iteration......Page 60
Further functions and graphs......Page 61
Check Yourself Algebra 13–20 (higher tier)
......Page 63
Answers and Tutorials......Page 64
Angles between parallel lines......Page 65
Bearings......Page 66
Exterior angles......Page 67
Angle sum of a polygon......Page 68
Rotational symmetry......Page 69
Tessellations......Page 70
Rotation......Page 71
Enlargement......Page 72
Translation......Page 73
Defining transformations......Page 74
Check Yourself Shape, space & measures 1–10......Page 75
Answers and Tutorials......Page 76
Geometrical constructions......Page 77
Locus of points......Page 78
Units for length, area and volume......Page 79
Similar triangles......Page 80
Pythagoras’ theorem......Page 81
Cosine of an angle......Page 82
Finding lengths......Page 83
Finding angles......Page 84
Check Yourself Shape, space & measures 11–18......Page 85
Answers and Tutorials......Page 86
Sine rule......Page 89
Area of a triangle......Page 90
Scale factors......Page 91
Arc, sector and segment......Page 92
Tangents to a circle......Page 93
Alternate segment theorem......Page 94
Multiplication of a vector......Page 95
Negative scale factors......Page 96
Check Yourself Shape, space & measures
19–26 (higher tier)......Page 97
Answers and Tutorials......Page 98
Bar charts......Page 99
Pie charts......Page 100
Mean......Page 101
Mean of a grouped frequency distribution......Page 102
Interquartile range......Page 103
Cumulative frequency diagrams......Page 104
Interquartile range......Page 105
Using the cumulative frequency (2)......Page 106
Check Yourself Handling data 1-8
......Page 107
Answers and Tutorials
......Page 108
Correlation......Page 109
Line of best fit......Page 110
Theoretical and experimental......Page 111
Tree diagrams......Page 112
Mutually exclusive events......Page 113
Independent events......Page 114
Check Yourself Handling data 9-14
......Page 115
Answers and Tutorials
......Page 116
Histogram – unequal class intervals......Page 117
Frequency polygons......Page 118
Standard deviation......Page 119
Standard deviation (continued)......Page 120
Using the standard deviation......Page 121
Interpreting the standard deviation......Page 122
Dependent events......Page 123
Quota sampling......Page 124
Check Yourself Handling data 15–22......Page 125
Answers and Tutorials
......Page 126
Acknowledgements......Page 127
About the Publisher......Page 129