Specification points
Cambridge Cambridge IGCSE Mathematics - International 0607
328 points in 12 topics, with Cambridge's codes and titles.
Grade boundaries·Cambridge command words
Codes and titles are read by a script from Cambridge's published specification and have not been checked by a person. What each point covers is in the specification itself: Cambridge’s specification.
1 Number
- C1.1 Types of number (Core)
- C1.2 Sets (Core)
- C1.3 Powers and roots (Core)
- C1.4 Fractions, decimals and percentages (Core)
- C1.4.1 Fractions, decimals and percentages notation
- C1.4.2 Equivalence and conversion between forms
- C1.5 Ordering (Core)
- C1.6 The four operations (Core)
- C1.7 Indices I (Core)
- C1.7.1 Indices
- C1.7.2 Rules of indices
- C1.8 Standard form (Core)
- C1.8.1 Standard form notation
- C1.8.2 Converting to and from standard form
- C1.8.3 Calculating in standard form
- C1.9 Estimation (Core)
- C1.9.1 Rounding to decimal places and significant figures
- C1.9.2 Estimating calculations
- C1.9.3 Rounding answers sensibly in context
- C1.10 Ratio and proportion (Core)
- C1.11 Rates (Core)
- C1.11.1 Common measures of rate
- C1.11.2 Average speed problems
- C1.12 Percentages (Core)
- C1.12.1 Percentage of a quantity
- C1.12.2 One quantity as a percentage of another
- C1.12.3 Percentage increase and decrease
- C1.12.4 Simple and compound interest
- C1.13 Using a calculator (Core)
- C1.13.1 Using a calculator efficiently
- C1.13.2 Entering values on a calculator
- C1.13.3 Interpreting the calculator display
- C1.14 Time (Core)
- C1.14.1 Calculating with units of time
- C1.14.2 24-hour and 12-hour clock
- C1.14.3 Clocks and timetables
- C1.15 Money (Core)
- C1.15.1 Calculating with money
- C1.15.2 Currency conversion
- E1.1 Types of number (Extended)
- E1.2 Sets (Extended)
- E1.3 Powers and roots (Extended)
- E1.4 Fractions, decimals and percentages (Extended)
- E1.4.1 Fractions, decimals and percentages notation
- E1.4.2 Equivalence and conversion between forms
- E1.5 Ordering (Extended)
- E1.6 The four operations (Extended)
- E1.7 Indices I (Extended)
- E1.7.1 Indices, including fractional
- E1.7.2 Rules of indices
- E1.8 Standard form (Extended)
- E1.8.1 Standard form notation
- E1.8.2 Converting to and from standard form
- E1.8.3 Calculating in standard form
- E1.9 Estimation (Extended)
- E1.9.1 Rounding to decimal places and significant figures
- E1.9.2 Estimating calculations
- E1.9.3 Rounding answers sensibly in context
- E1.10 Ratio and proportion (Extended)
- E1.11 Rates (Extended)
- E1.11.1 Common measures of rate
- E1.11.2 Average speed problems
- E1.12 Percentages (Extended)
- E1.12.1 Percentage of a quantity
- E1.12.2 One quantity as a percentage of another
- E1.12.3 Percentage increase and decrease
- E1.12.4 Simple and compound interest, including repeated change
- E1.12.5 Reverse percentages
- E1.13 Using a calculator (Extended)
- E1.13.1 Using a calculator efficiently
- E1.13.2 Entering values on a calculator
- E1.13.3 Interpreting the calculator display
- E1.14 Time (Extended)
- E1.14.1 Calculating with units of time
- E1.14.2 24-hour and 12-hour clock
- E1.14.3 Clocks and timetables
- E1.15 Money (Extended)
- E1.15.1 Calculating with money
- E1.15.2 Currency conversion
- E1.16 Exponential growth and decay (Extended)
- E1.17 Surds (Extended)
- E1.17.1 Surds and simplifying surd expressions
- E1.17.2 Rationalising the denominator
2 Algebra
- C2.1 Introduction to algebra (Core)
- C2.1.1 Letters as generalised numbers
- C2.1.2 Substitution into expressions and formulas
- C2.2 Algebraic manipulation (Core)
- C2.2.1 Collecting like terms
- C2.2.2 Expanding products
- C2.2.3 Factorising by common factors
- C2.3 Algebraic fractions (Core)
- C2.3.1 Simplifying algebraic fractions
- C2.4 Indices II (Core)
- C2.4.1 Indices in algebra
- C2.4.2 Rules of indices in algebra
- C2.5 Equations (Core)
- C2.5.1 Constructing expressions, equations and formulas
- C2.5.2 Linear equations in one unknown
- C2.5.3 Simultaneous linear equations
- C2.5.4 Solving equations with a graphic display calculator
- C2.5.5 Changing the subject of simple formulas
- C2.6 Inequalities (Core)
- C2.7 Sequences (Core)
- C2.7.1 Continuing sequences and patterns
- C2.7.2 Patterns in sequences, including squares and cubes
- C2.7.3 nth term of linear, quadratic and cubic sequences
- E2.1 Introduction to algebra (Extended)
- E2.1.1 Letters as generalised numbers
- E2.1.2 Substitution into expressions and formulas
- E2.2 Algebraic manipulation (Extended)
- E2.2.1 Collecting like terms
- E2.2.2 Expanding products of expressions
- E2.2.3 Factorising by common factors
- E2.2.4 Factorising expressions of various forms
- E2.3 Algebraic fractions (Extended)
- E2.3.1 Algebraic fractions
- E2.3.2 Rational expressions
- E2.4 Indices II (Extended)
- E2.4.1 Indices in algebra, including fractional
- E2.4.2 Rules of indices in algebra
- E2.5 Equations (Extended)
- E2.5.1 Constructing expressions, equations and formulas
- E2.5.2 Linear equations in one unknown
- E2.5.3 Fractional equations
- E2.5.4 Simultaneous linear equations
- E2.5.5 Quadratic equations, including by calculator
- E2.5.6 Changing the subject of formulas
- E2.5.7 Solving equations with a graphic display calculator
- E2.6 Inequalities (Extended)
- E2.6.1 Inequalities on a number line
- E2.6.2 Linear inequalities
- E2.6.3 Inequalities with a graphic display calculator
- E2.6.4 Graphing linear inequalities in two variables
- E2.6.5 Inequalities defining a region
- E2.7 Sequences (Extended)
- E2.7.1 Continuing sequences and patterns
- E2.7.2 Patterns in sequences, including exponential
- E2.7.3 nth term, including difference method
- E2.8 Proportion (Extended)
- E2.8.1 Direct and inverse proportion
- E2.8.2 Best variation model for data
3 Functions
- C3.1 Graphs of functions (Core)
- C3.2 Sketching graphs on a calculator (Core)
- C3.3 Functions (Core)
- E3.1 Graphs of functions (Extended)
- E3.1.1 Recognising function types from graphs
- E3.1.2 Finding constants in function graphs
- E3.1.3 Values of a function from its graph
- E3.2 Sketching graphs on a calculator (Extended)
- E3.3 Functions (Extended)
- E3.3.1 Functions, domain, range and notation
- E3.3.2 Inverse functions
- E3.3.3 Composite functions
- E3.4 Finding a quadratic function using given information (Extended)
- E3.5 Asymptotes (Extended)
- E3.6 Transforming graphs of functions (Extended)
- E3.7 The logarithmic function (Extended)
4 Coordinate geometry
- C4.1 Coordinates (Core)
- C4.2 Gradient of linear graphs (Core)
- C4.3 Length and midpoint (Core)
- C4.3.1 Length of a line segment
- C4.3.2 Midpoint of a line segment
- C4.4 Equations of linear graphs (Core)
- C4.5 Parallel lines (Core)
- E4.1 Coordinates (Extended)
- E4.2 Gradient of linear graphs (Extended)
- E4.2.1 Gradient of a straight line
- E4.2.2 Gradient from two points
- E4.3 Length and midpoint (Extended)
- E4.3.1 Length of a line segment
- E4.3.2 Midpoint of a line segment
- E4.4 Equations of linear graphs (Extended)
- E4.5 Parallel lines (Extended)
- E4.6 Perpendicular lines (Extended)
5 Geometry
- C5.1 Geometrical terms (Core)
- C5.1.1 Geometrical terms
- C5.1.2 Vocabulary of triangles, quadrilaterals, polygons and solids
- C5.1.3 Vocabulary of a circle
- C5.2 Angle measurement in degrees (Core)
- C5.2.1 Measuring and drawing lines and angles
- C5.2.2 Three-figure bearings
- C5.3 Similarity (Core)
- C5.4 Symmetry (Core)
- C5.5 Angles (Core)
- C5.5.1 Angle properties at points, lines and shapes
- C5.5.2 Angles in parallel lines
- C5.5.3 Angles in regular polygons
- C5.6 Circle theorems I (Core)
- C5.7 Circle theorems II (Core)
- E5.1 Geometrical terms (Extended)
- E5.1.1 Geometrical terms
- E5.1.2 Vocabulary of triangles, quadrilaterals, polygons and solids
- E5.1.3 Vocabulary of a circle
- E5.2 Angle measurement in degrees (Extended)
- E5.2.1 Measuring and drawing lines and angles
- E5.2.2 Three-figure bearings
- E5.3 Similarity (Extended)
- E5.3.1 Lengths of similar shapes
- E5.3.2 Lengths, areas and volumes of similar shapes
- E5.3.3 Problems involving similarity
- E5.4 Symmetry (Extended)
- E5.4.1 Line and rotational symmetry
- E5.4.2 Symmetry of prisms, cylinders, pyramids and cones
- E5.5 Angles (Extended)
- E5.5.1 Angle properties at points, lines and shapes
- E5.5.2 Angles in parallel lines
- E5.5.3 Angles in regular and irregular polygons
- E5.6 Circle theorems I (Extended)
- E5.7 Circle theorems II (Extended)
6 Mensuration
- C6.1 Units of measure (Core)
- C6.2 Area and perimeter (Core)
- C6.3 Circles, arcs and sectors (Core)
- C6.3.1 Circumference and area of a circle
- C6.3.2 Arc length and sector area
- C6.4 Surface area and volume (Core)
- C6.5 Compound shapes and parts of shapes (Core)
- C6.5.1 Perimeter and area of compound shapes
- C6.5.2 Surface area and volume of compound solids
- E6.1 Units of measure (Extended)
- E6.2 Area and perimeter (Extended)
- E6.3 Circles, arcs and sectors (Extended)
- E6.3.1 Circumference and area of a circle
- E6.3.2 Arc length and sector area, including major sectors
- E6.4 Surface area and volume (Extended)
- E6.5 Compound shapes and parts of shapes (Extended)
- E6.5.1 Perimeter and area of compound shapes
- E6.5.2 Surface area and volume of compound solids
7 Trigonometry
- C7.1 Pythagoras’ theorem (Core)
- C7.2 Right-angled triangles (Core)
- C7.2.1 Sine, cosine and tangent in right-angled triangles
- C7.2.2 Pythagoras and trigonometry in two dimensions
- E7.1 Pythagoras’ theorem (Extended)
- E7.2 Right-angled triangles (Extended)
- E7.2.1 Sine, cosine and tangent in right-angled triangles
- E7.2.2 Pythagoras and trigonometry in two dimensions
- E7.2.3 Perpendicular distance from a point to a line
- E7.2.4 Angles of elevation and depression
- E7.3 Exact trigonometric values (Extended)
- E7.3.1 Exact values of sine and cosine
- E7.3.2 Exact values of tangent
- E7.4 Trigonometric functions (Extended)
- E7.4.1 Graphs of sine, cosine and tangent
- E7.4.2 Trigonometric equations
- E7.5 Non-right-angled triangles (Extended)
- E7.5.1 Sine and cosine rules
- E7.5.2 Area of a triangle using sine
- E7.6 Pythagoras’ theorem and trigonometry in 3D (Extended)
8 Transformations and vectors
- C8.1 Transformations (Core)
- C8.1.1 Reflection in vertical or horizontal lines
- C8.1.2 Rotation through multiples of 90°
- C8.1.3 Enlargement
- C8.1.4 Translation by a vector
- E8.1 Transformations (Extended)
- E8.1.1 Reflection in a straight line
- E8.1.2 Rotation about a centre
- E8.1.3 Enlargement, including negative scale factors
- E8.1.4 Translation by a vector
- E8.2 Vectors in two dimensions (Extended)
- E8.2.1 Describing translations with vectors
- E8.2.2 Adding and subtracting vectors
- E8.2.3 Multiplying a vector by a scalar
- E8.3 Magnitude of a vector (Extended)
9 Probability
- C9.1 Introduction to probability (Core)
- C9.1.1 The probability scale
- C9.1.2 Probability of a single event
- C9.1.3 Probability of an event not occurring
- C9.2 Relative and expected frequencies (Core)
- C9.2.1 Relative frequency
- C9.2.2 Expected frequencies
- C9.3 Probability of combined events (Core)
- E9.1 Introduction to probability (Extended)
- E9.1.1 The probability scale
- E9.1.2 Probability notation
- E9.1.3 Probability of a single event
- E9.1.4 Probability of an event not occurring
- E9.2 Relative and expected frequencies (Extended)
- E9.2.1 Relative frequency
- E9.2.2 Expected frequencies
- E9.3 Probability of combined events (Extended)
10 Statistics
- C10.1 Classifying statistical data (Core)
- C10.2 Interpreting statistical data (Core)
- C10.2.1 Interpreting tables and statistical diagrams
- C10.2.2 Comparing sets of data
- C10.2.3 Limits of conclusions from data
- C10.3 Discrete and continuous data (Core)
- C10.4 Averages and range (Core)
- C10.5 Averages on a calculator (Core)
- C10.5.1 Mean, median and quartiles for discrete data
- C10.5.2 Mean for grouped data
- C10.6 Statistical charts and diagrams (Core)
- C10.7 Scatter diagrams (Core)
- C10.7.1 Scatter diagrams
- C10.7.2 Positive, negative and zero correlation
- C10.7.3 Line of best fit
- E10.1 Classifying statistical data (Extended)
- E10.2 Interpreting statistical data (Extended)
- E10.2.1 Interpreting tables and statistical diagrams
- E10.2.2 Comparing sets of data, including spread
- E10.2.3 Limits of conclusions from data
- E10.3 Discrete and continuous data (Extended)
- E10.4 Averages and measures of spread (Extended)
- E10.4.1 Averages, quartiles, range and interquartile range
- E10.4.2 Estimated mean for grouped data
- E10.4.3 Modal class
- E10.5 Averages on a calculator (Extended)
- E10.5.1 Mean, median and quartiles for discrete data
- E10.5.2 Mean for grouped data
- E10.6 Statistical charts and diagrams (Extended)
- E10.7 Scatter diagrams (Extended)
- E10.7.1 Scatter diagrams
- E10.7.2 Positive, negative and zero correlation
- E10.7.3 Line of best fit
- E10.7.4 Linear regression by calculator
- E10.8 Cumulative frequency diagrams (Extended)
- E10.8.1 Cumulative frequency tables and diagrams
- E10.8.2 Median, percentiles and quartiles from cumulative frequency