Associated Textbook
Sample chapters for download
Topic 6 (Mensuration)
Practice Exam 1
Solutions to Topic 6 (Mensuration)
Solutions to Practice Exam 1
About the book
The aim of this Guide is to help students prepare for the Cambridge IGCSE International Mathematics (0607) Extended examinations.
This Guide covers all eleven Topics in the Cambridge International Mathematics (0607) syllabus. Each Topic has a summary of key facts and concepts followed by a set of ‘Skill Practice’ questions. There are over 500 ‘Skill Practice’ questions in total.
Following topics 1-11 are three Practice Exams, divided into Paper 2, Paper 4, and Paper 6 as per the IGCSE International Mathematics (0607) Extended examination.
Each Paper 2 has 10 - 11 short response questions to be completed within 45 minutes. To be answered without the use of a calculator.
Each Paper 4 has 11 - 12 medium to extended response questions to be completed within 2 hours 15 minutes. A graphics calculator may be used.
Each Paper 6 has more open-ended questions divided into two parts: A. Investigation and B. Modelling, to be completed within 1 hour 30 minutes.
Fully worked solutions are provided for all questions in this Guide.
Good examination techniques come from good examination and practice. We hope this guide will help you succeed.
Table of contents
| Cambridge IGCSE International Mathematics (0607) Extended – Exam Preparation & Practice Guide |
Page | |
| 1 | NUMBER | 6 |
| Number sets | 6 | |
| Primes and composites | 6 | |
| Other terms | 6 | |
| Order of operations | 6 | |
| Rounding numbers | 6 | |
| Absolute value | 6 | |
| Fractions | 6 | |
| Time | 6 | |
| Speed, distance and time | 6 | |
| Surds and radicals | 6 | |
| Exponents and indices | 7 | |
| Exponents and radicals | 7 | |
| Standard form | 7 | |
| Ratio and proportion | 7 | |
| Percentage | 7 | |
| Simple interest | 7 | |
| Compound interest | 7 | |
| Skill practice | 7 | |
| 2 | ALGEBRA | 9 |
| Expansion laws | 9 | |
| Factorisation | 9 | |
| Algebraic fractions | 9 | |
| Linear equations | 9 | |
| Simultaneous linear equations | 10 | |
| Problem solving using equations | 10 | |
| Formulae | 10 | |
| Quadratic equations | 10 | |
| Power equations | 10 | |
| Exponential equations | 10 | |
| Direct variation | 10 | |
| Inverse variation | 10 | |
| Variation modelling | 10 | |
| Linear inequalities | 11 | |
| Other one-variable inequalities | 11 | |
| Number sequences | 11 | |
| Skill practice | 11 | |
| 3 | FUNCTIONS | 15 |
| Mappings | 15 | |
| Functions | 16 | |
| Reciprocal functions | 16 | |
| Absolute value function | 16 | |
| Quadratic functions | 16 | |
| Cubic functions | 16 | |
| Exponential functions | 17 | |
| Logarithms | 17 | |
| Trigonometric functions | 17 | |
| Using technology | 17 | |
| Transforming functions | 17 | |
| Skill practice | 17 | |
| 4 | GEOMETRY | 21 |
| Lines and line segments | 21 | |
| Symmetry | 21 | |
| Angles | 22 | |
| Triangles | 22 | |
| Polygons | 22 | |
| Pythagoras | 22 | |
| Congruence | 23 | |
| Similarity | 23 | |
| Circles | 23 | |
| Circle theorems | 23 | |
| Theorems involving arcs | 24 | |
| Cyclic quadrilaterals | 24 | |
| Cyclic quadrilateral theorems | 24 | |
| Skill practice | 24 | |
| 5 | TRANSFORMATIONS IN TWO DIMENSIONS | 29 |
| Vectors | 29 | |
| Transformations | 29 | |
| Skill practice | 30 | |
| 6 | MENSURATION (click to download sample) | 33 |
| Units | 33 | |
| Length | 33 | |
| Area | 33 | |
| Surface area | 33 | |
| Volume | 34 | |
| Capacity | 34 | |
| Mass | 34 | |
| Skill practice | 34 |
| 7 | COORDINATE GEOMETRY | 37 |
| The number plane | 37 | |
| Distance between two points | 37 | |
| Midpoint of a line segment | 37 | |
| Gradient | 37 | |
| Straight lines | 37 | |
| Linear inequality regions | 37 | |
| Skill practice | 38 | |
| 8 | TRIGONOMETRY | 40 |
| Right angled triangles | 40 | |
| The unit circle | 40 | |
| Area of a triangle using sine | 41 | |
| The sine rule | 41 | |
| The cosine rule | 41 | |
| Trigonometric graphs | 41 | |
| Skill practice | 42 | |
| 9 | SETS | 44 |
| Venn diagrams | 45 | |
| Skill practice | 45 | |
| 10 | PROBABILITY | 46 |
| Experimental probability | 46 | |
| Expectation | 46 | |
| Sample space | 46 | |
| Theoretical probability | 46 | |
| Complementary events | 46 | |
| Independent events | 46 | |
| Dependent events | 46 | |
| Mutually exclusive events | 46 | |
| Skill practice | 46 | |
| 11 | STATISTICS | 48 |
| Variables | 48 | |
| Statistical graphs | 48 | |
| Census or sample | 49 | |
| The distribution of a data set | 49 | |
| The centre of a discrete data set | 49 | |
| Measuring the spread of discrete data | 49 | |
| Frequency tables | 49 | |
| Grouped discrete data | 49 | |
| Using technology | 49 | |
| Continuous data | 49 | |
| Correlation | 50 | |
| Line of best fit | 50 | |
| Skill practice | 50 | |
| PRACTICE EXAM 1 (click to download sample) | 54 | |
| Paper 2: 45 minutes / 40 marks | 54 | |
| Paper 4: 2 hours 15 minutes / 120 marks | 55 | |
| Paper 6: 1 hour 30 minutes / 40 marks | 56 | |
| PRACTICE EXAM 2 | 57 | |
| Paper 2: 45 minutes / 40 marks | 57 | |
| Paper 4: 2 hours 15 minutes / 120 marks | 58 | |
| Paper 6: 1 hour 30 minutes / 40 marks | 59 | |
| PRACTICE EXAM 3 | 61 | |
| Paper 2: 45 minutes / 40 marks | 61 | |
| Paper 4: 2 hours 15 minutes / 120 marks | 61 | |
| Paper 6: 1 hour 30 minutes / 40 marks | 63 | |
| SOLUTIONS | 65 | |
| Topic 1: Number | 65 | |
| Topic 2: Algebra | 68 | |
| Topic 3: Functions | 81 | |
| Topic 4: Geometry | 94 | |
| Topic 5: Transformations in two dimensions | 102 | |
| Topic 6: Mensuration (click to download sample) | 108 | |
| Topic 7: Coordinate geometry | 112 | |
| Topic 8: Trigonometry | 118 | |
| Topic 9: Sets | 124 | |
| Topic 10: Probability | 126 | |
| Topic 11: Statistics | 129 |
| Practice exam 1 (click to download sample) | 136 | |
| Paper 2 | 136 | |
| Paper 4 | 137 | |
| Paper 6 | 139 |
| Practice exam 2 | 140 | |
| Paper 2 | 140 | |
| Paper 4 | 141 | |
| Paper 6 | 144 | |
| Practice exam 3 | 146 | |
| Paper 2 | 146 | |
| Paper 4 | 146 | |
| Paper 6 | 149 |