Specification points
Cambridge Cambridge O Level Mathematics (Syllabus D) 4024
203 points in 10 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
- 1.1 Types of number
- 1.2 Sets
- 1.3 Powers and roots
- 1.4 Fractions, decimals and percentages
- 1.4.1 Fractions, decimals and percentages notation
- 1.4.2 Equivalence and conversion, including recurring decimals
- 1.5 Ordering
- 1.6 The four operations
- 1.7 Indices I
- 1.7.1 Indices, including fractional
- 1.7.2 Rules of indices
- 1.8 Standard form
- 1.8.1 Standard form notation
- 1.8.2 Converting to and from standard form
- 1.8.3 Calculating in standard form
- 1.9 Estimation
- 1.9.1 Rounding to decimal places and significant figures
- 1.9.2 Estimating calculations
- 1.9.3 Rounding answers sensibly in context
- 1.10 Limits of accuracy
- 1.10.1 Upper and lower bounds of rounded data
- 1.10.2 Bounds of calculated results
- 1.11 Ratio and proportion
- 1.12 Rates
- 1.12.1 Common measures of rate
- 1.12.2 Other measures of rate
- 1.12.3 Average speed problems
- 1.13 Percentages
- 1.13.1 Percentage of a quantity
- 1.13.2 One quantity as a percentage of another
- 1.13.3 Percentage increase and decrease
- 1.13.4 Simple and compound interest, including repeated change
- 1.13.5 Reverse percentages
- 1.14 Using a calculator
- 1.14.1 Using a calculator efficiently
- 1.14.2 Entering values on a calculator
- 1.14.3 Interpreting the calculator display
- 1.15 Time
- 1.15.1 Calculating with units of time
- 1.15.2 24-hour and 12-hour clock
- 1.15.3 Clocks and timetables
- 1.16 Money
- 1.16.1 Calculating with money
- 1.16.2 Currency conversion
- 1.17 Exponential growth and decay
- 1.18 Surds
- 1.18.1 Surds and simplifying surd expressions
- 1.18.2 Rationalising the denominator
2 Algebra and graphs
- 2.1 Introduction to algebra
- 2.1.1 Letters as generalised numbers
- 2.1.2 Substitution into expressions and formulas
- 2.2 Algebraic manipulation
- 2.2.1 Collecting like terms
- 2.2.2 Expanding products, including two brackets
- 2.2.3 Factorising by common factors
- 2.2.4 Factorising expressions of various forms
- 2.2.5 Completing the square
- 2.3 Algebraic fractions
- 2.3.1 Algebraic fractions
- 2.3.2 Rational expressions
- 2.4 Indices II
- 2.4.1 Indices in algebra, including fractional
- 2.4.2 Rules of indices in algebra
- 2.5 Equations
- 2.5.1 Constructing expressions, equations and formulas
- 2.5.2 Linear equations in one unknown
- 2.5.3 Fractional equations
- 2.5.4 Simultaneous linear equations
- 2.5.5 Quadratic equations
- 2.5.6 Changing the subject of formulas
- 2.6 Inequalities
- 2.6.1 Inequalities on a number line
- 2.6.2 Linear inequalities
- 2.6.3 Graphing linear inequalities in two variables
- 2.6.4 Inequalities defining a region
- 2.7 Sequences
- 2.7.1 Continuing sequences and patterns
- 2.7.2 Patterns in sequences, including exponential
- 2.7.3 nth term of sequences
- 2.8 Proportion
- 2.9 Graphs in practical situations
- 2.9.1 Travel and conversion graphs
- 2.9.2 Drawing graphs from data
- 2.9.3 Rate of change in kinematics graphs
- 2.9.4 Distance from area under speed–time graph
- 2.10 Graphs of functions
- 2.10.1 Tables of values and graphs of further functions
- 2.10.2 Solving equations graphically
- 2.10.3 Exponential growth and decay graphs
- 2.10.4 Gradients of curves by tangents
- 2.11 Sketching curves
- 2.12 Functions
- 2.12.1 Functions, domain, range and notation
- 2.12.2 Inverse functions
- 2.12.3 Composite functions
3 Coordinate geometry
4 Geometry
- 4.1 Geometrical terms
- 4.1.1 Geometrical terms
- 4.1.2 Vocabulary of triangles, quadrilaterals, polygons and solids
- 4.1.3 Vocabulary of a circle
- 4.2 Geometrical constructions
- 4.2.1 Measuring and drawing lines and angles
- 4.2.2 Constructing triangles
- 4.2.3 Nets
- 4.3 Scale drawings
- 4.3.1 Scale drawings
- 4.3.2 Three-figure bearings
- 4.4 Similarity
- 4.4.1 Lengths of similar shapes
- 4.4.2 Lengths, areas and volumes of similar shapes
- 4.4.3 Problems involving similarity
- 4.5 Symmetry
- 4.5.1 Line and rotational symmetry
- 4.5.2 Symmetry of prisms, cylinders, pyramids and cones
- 4.6 Angles
- 4.6.1 Angle properties at points, lines and shapes
- 4.6.2 Angles in parallel lines
- 4.6.3 Angles in regular and irregular polygons
- 4.7 Circle theorems I
- 4.8 Circle theorems II
5 Mensuration
- 5.1 Units of measure
- 5.2 Area and perimeter
- 5.3 Circles, arcs and sectors
- 5.3.1 Circumference and area of a circle
- 5.3.2 Arc length and sector area, including major sectors
- 5.4 Surface area and volume
- 5.5 Compound shapes and parts of shapes
- 5.5.1 Perimeter and area of compound shapes
- 5.5.2 Surface area and volume of compound solids
6 Trigonometry
- 6.1 Pythagoras’ theorem
- 6.2 Right-angled triangles
- 6.2.1 Sine, cosine and tangent in right-angled triangles
- 6.2.2 Pythagoras and trigonometry in two dimensions
- 6.2.3 Perpendicular distance from a point to a line
- 6.2.4 Angles of elevation and depression
- 6.3 Non-right-angled triangles
- 6.3.1 Sine and cosine rules
- 6.3.2 Area of a triangle using sine
- 6.4 Pythagoras’ theorem and trigonometry in 3D
7 Transformations and vectors
- 7.1 Transformations
- 7.1.1 Reflection in a straight line
- 7.1.2 Rotation about a centre
- 7.1.3 Enlargement, including negative scale factors
- 7.1.4 Translation by a vector
- 7.2 Vectors in two dimensions
- 7.2.1 Describing translations with vectors
- 7.2.2 Adding and subtracting vectors
- 7.2.3 Multiplying a vector by a scalar
- 7.3 Magnitude of a vector
- 7.4 Vector geometry
- 7.4.1 Vectors as directed line segments
- 7.4.2 Position vectors
- 7.4.3 Expressing vectors in terms of two coplanar vectors
- 7.4.4 Vector reasoning and geometric problems
8 Probability
9 Statistics
- 9.1 Classifying statistical data
- 9.2 Interpreting statistical data
- 9.2.1 Interpreting tables and statistical diagrams
- 9.2.2 Comparing sets of data, including spread
- 9.2.3 Limits of conclusions from data
- 9.3 Averages and measures of spread
- 9.3.1 Mean, median, mode and range
- 9.3.2 Estimated mean for grouped data
- 9.3.3 Modal class
- 9.4 Statistical charts and diagrams
- 9.5 Scatter diagrams
- 9.5.1 Scatter diagrams
- 9.5.2 Positive, negative and zero correlation
- 9.5.3 Line of best fit
- 9.6 Cumulative frequency diagrams
- 9.6.1 Cumulative frequency tables and diagrams
- 9.6.2 Median, percentiles and quartiles from cumulative frequency
- 9.7 Histograms
- 9.7.1 Histograms
- 9.7.2 Frequency density