CXC · CSEC · Mathematics
CXC CSEC Mathematics Syllabus
The complete CXC CSEC Mathematics specification mapped to 153 topics. Click any topic for free revision notes and practice questions.
Algebra
Addition, subtraction, multiplication and division of algebraic expressions
0 Qs
Algebraic expressions, simplification, substitution and use of symbols
0 Qs
Algebraic notation, substitution and evaluation of expressions
0 Qs
Binary operations and their properties
0 Qs
Changing the subject of a formula and substitution into formulae
0 Qs
Expansion of algebraic expressions including binomials
0 Qs
Factorisation — common factors, grouping, difference of two squares, quadratic trinomials
0 Qs
Factorisation of algebraic expressions (common factor, difference of two squares, quadratic trinomials)
Linear equations and inequalities in one variable
0 Qs
Linear equations in two variables — simultaneous equations
20 Qs⚡ Practice
Operations on algebraic fractions
Quadratic equations — solving by factorisation and the quadratic formula
0 Qs
Quadratic equations (factorisation and quadratic formula)
0 Qs
Sequences, patterns and term-to-term rules
0 Qs
Simplification of algebraic fractions
0 Qs
Simultaneous linear equations in two variables
0 Qs
Transposition and evaluation of formulae
0 Qs
Variation (direct, inverse and joint variation)
0 Qs
Computation
Approximation, estimation and significant figures
0 Qs
Consumer arithmetic (profit, loss, discount, tax, hire purchase, currency conversion, rates, utilities)
0 Qs
Operations on real numbers including fractions, decimals, percentages and exponents
0 Qs
Functions
Composite functions and inverse functions
0 Qs
Concept of a function, domain, range, mapping diagrams
24 Qs⚡ Practice
Types of functions — one-to-one, many-to-one, one-to-many
20 Qs⚡ Practice
Geometry
Circle theorems (angle properties, chord and tangent properties)
0 Qs
Congruency and similarity of triangles and other plane figures
0 Qs
Congruency and similarity of triangles and other shapes
0 Qs
Constructions — using ruler and compass for standard constructions and loci
20 Qs⚡ Practice
Constructions and loci using ruler and compass
0 Qs
Properties of circles — theorems involving chords, tangents, and angles
0 Qs
Properties of lines, angles and polygons
20 Qs⚡ Practice
Properties of lines, angles and polygons (including parallel lines and angle relationships)
0 Qs
Symmetry — line symmetry and rotational symmetry
0 Qs
Geometry – Lines, angles and plane figures
properties of triangles, quadrilaterals and polygons
0 Qs
Graphs
Distance–time and speed–time graphs — interpretation and calculation
0 Qs
Gradients of curves — estimation of gradient using tangent at a point
20 Qs⚡ Practice
Graphical solution of simultaneous equations and inequalities
20 Qs⚡ Practice
Graphs of other non-linear functions (cubic, reciprocal, exponential)
0 Qs
Graphs of quadratic functions — drawing, interpreting and finding roots
0 Qs
Linear graphs — gradient, intercepts and equation of a straight line
20 Qs⚡ Practice
Matrices
Determinant and inverse of a 2×2 matrix
0 Qs
Determinant and inverse of a 2×2 matrix and solving simultaneous equations using matrices
0 Qs
Matrix multiplication
0 Qs
Matrix notation, order of a matrix and types of matrices
20 Qs⚡ Practice
Matrix operations — addition, subtraction and scalar multiplication
20 Qs⚡ Practice
Order, operations (addition, subtraction, scalar multiplication and matrix multiplication)
0 Qs
Transformation matrices — translation, rotation, reflection, enlargement and their combinations
0 Qs
Using matrices to solve simultaneous linear equations
0 Qs
Measurement
Area and volume of composite shapes and solids
0 Qs
Circles — circumference, arc length, sector area
0 Qs
Perimeter, area and volume of common shapes and solids
0 Qs
Perimeter, area and volume of standard plane shapes and solids
20 Qs⚡ Practice
SI units and conversion of units
20 Qs⚡ Practice
SI units, conversion of units and use of scales
Surface area of solids (prisms, cylinders, pyramids, cones, spheres)
0 Qs
Time, speed, distance and rates of change
0 Qs
Number
Computation with integers, decimals and fractions
0 Qs
Consumer arithmetic — profit, loss, discount, sales tax, hire purchase, currency conversion
0 Qs
Estimation, approximation, rounding and significant figures
0 Qs
Percentages and their applications
0 Qs
Powers, roots and indices
0 Qs
Properties of numbers, number types and number theory
0 Qs
Ratio, rates and proportions
0 Qs
Standard form (scientific notation)
0 Qs
Number Theory
Properties of numbers, number bases and modular arithmetic
28 Qs⚡ Practice
Probability
Addition and multiplication rules; mutually exclusive and independent events
0 Qs
Basic probability concepts — sample space, events and probability scale
0 Qs
Classical probability, experimental probability, combined events and sample space diagrams
0 Qs
Conditional probability and tree diagrams
0 Qs
Relations, Functions and Graphs
Concept of relation and function, domain, range and function notation
0 Qs
Graphs of other non-linear functions (including cubic, reciprocal and exponential)
0 Qs
Intersection of graphs and graphical solution of equations
Linear functions — gradient, intercepts and graphs
0 Qs
Linear inequalities and regions in two variables
Quadratic functions — graphs, vertex, axis of symmetry and interpretation
Sets
Notation, types of sets, Venn diagrams and set operations
0 Qs
Set notation, set builder notation and membership
0 Qs
Set operations — union, intersection, complement
20 Qs⚡ Practice
Types of sets — finite, infinite, universal set, empty set, subsets and equal sets
20 Qs⚡ Practice
Venn diagrams — construction, interpretation and problem solving with two and three sets
20 Qs⚡ Practice
Statistics
Box-and-whisker plots (box plots) and their interpretation
0 Qs
Collection, classification, organisation and tabulation of data
20 Qs⚡ Practice
Cumulative frequency tables, curves and their interpretation (median, quartiles, percentiles)
20 Qs⚡ Practice
Data collection, organisation, representation (bar chart, pie chart, histogram, frequency polygon, line graph)
0 Qs
Histograms (equal and unequal class widths) and frequency density
0 Qs
Measures of central tendency — mean, median and mode for ungrouped and grouped data
20 Qs⚡ Practice
Measures of central tendency (mean, median, mode) for grouped and ungrouped data
0 Qs
Measures of spread — range, interquartile range and semi-interquartile range
0 Qs
Measures of spread (range, interquartile range) and cumulative frequency curves
Scatter diagrams, correlation and lines of best fit
0 Qs
Statistical diagrams — bar charts, pie charts, pictograms, line graphs, frequency polygons
0 Qs
Transformation Geometry
Combination of transformations and identifying transformation matrices
0 Qs
Translation, reflection, rotation and enlargement on the Cartesian plane
Transformations
Combined and inverse transformations
20 Qs⚡ Practice
Translation, reflection, rotation and enlargement of plane figures
0 Qs
Trigonometry
Angles of elevation and depression and bearing problems
20 Qs⚡ Practice
Applications of trigonometry including angles of elevation and depression, and bearings
Area of a triangle using the formula (1/2)ab sin C
0 Qs
Area of a triangle using the formula ½ab sin C
Pythagoras' theorem and its applications in 2D and 3D
0 Qs
Sine rule and cosine rule for non-right-angled triangles
0 Qs
Trigonometric ratios (sine, cosine, tangent) in right-angled triangles
0 Qs
Vectors
Addition, subtraction and scalar multiplication of vectors
20 Qs⚡ Practice
Concept and notation of vectors, addition, subtraction and scalar multiplication
0 Qs
Concept of a vector, vector notation and representation
20 Qs⚡ Practice
Position vectors and displacement vectors in geometry proofs
0 Qs
Position vectors, displacement vectors and geometric applications
All topics
Algebra
10 Qs⚡ Practice
Algebraic Expressions – simplification, substitution, expansion and factorisation
20 Qs⚡ Practice
Algebraic Fractions – simplification and operations on rational algebraic expressions
0 Qs
Circle Theorems – angle and chord properties of circles
0 Qs
Computation
20 Qs⚡ Practice
Computation – Operations on real numbers, fractions, decimals and percentages
0 Qs
Constructions and Loci – geometric constructions using ruler and compass
20 Qs⚡ Practice
Consumer Arithmetic
20 Qs⚡ Practice
Consumer Arithmetic – Profit and loss, discount, tax, rates, hire purchase, simple and compound interest, currency conversion
0 Qs
Coordinate Geometry – length, midpoint, gradient and equation of a straight line in the coordinate plane
0 Qs
Cumulative Frequency – ogive, median, quartiles, interquartile range and percentiles
20 Qs⚡ Practice
Estimation, approximation and rounding – significant figures, decimal places, standard form
20 Qs⚡ Practice
Exponential and Other Non-linear Graphs – sketching and interpreting graphs of the form y = aˣ and other curves
23 Qs⚡ Practice
Functions – notation, domain, range, composition and inverse functions
20 Qs⚡ Practice
Geometry and Trigonometry
0 Qs
Graphical Solutions – reading and interpreting travel/distance–time and speed–time graphs
0 Qs
Indices and Laws of Indices – integer, fractional and negative exponents
20 Qs⚡ Practice
Inequalities and Linear Programming – graphing linear inequalities, feasible regions and optimisation
0 Qs
Linear Equations and Inequalities – solving and graphing in one variable
0 Qs
Linear Functions and Graphs – gradient, intercepts, equation of a straight line
20 Qs⚡ Practice
Matrices – notation, types, addition, subtraction, multiplication, determinant and inverse of 2×2 matrices
21 Qs⚡ Practice
Matrix Transformations – using matrices to represent and determine geometric transformations
20 Qs⚡ Practice
Measurement
20 Qs⚡ Practice
Measurement – SI units, conversion of units, time and money calculations
0 Qs
Measures of Dispersion – range, interquartile range, semi-interquartile range
0 Qs
Mensuration – perimeter, area, surface area and volume of 2-D and 3-D shapes
0 Qs
Number Theory
0 Qs
Number Theory – Properties of numbers, number bases and operations
0 Qs
Number Theory and Computation
Probability – classical probability, experimental probability, sample space, combined events, simple tree diagrams
21 Qs⚡ Practice
Quadratic Equations – factorisation, completing the square and quadratic formula
0 Qs
Quadratic Functions and Graphs – plotting, vertex, axis of symmetry, roots
0 Qs
Relations, Functions and Graphs
0 Qs
Sets
20 Qs⚡ Practice
Sets – notation, types, Venn diagrams and set operations (union, intersection, complement, subsets)
0 Qs
Simultaneous Linear Equations – algebraic and graphical solution of two equations in two unknowns
20 Qs⚡ Practice
Sine Rule and Cosine Rule – solution of non-right-angled triangles
0 Qs
Statistical Diagrams – bar charts, pie charts, histograms, frequency polygons, line graphs
0 Qs
Statistics
8 Qs⚡ Practice
Statistics – data collection, classification, frequency tables, measures of central tendency (mean, median, mode)
20 Qs⚡ Practice
Transformation Geometry – reflection, rotation, translation, enlargement and their properties
0 Qs
Transposition and Subject of a Formula
0 Qs
Trigonometry – sine, cosine, tangent ratios; angles of elevation and depression; bearings
20 Qs⚡ Practice
Variation – direct, inverse, joint and partial variation
0 Qs
Vectors – representation, addition, subtraction, scalar multiplication, magnitude and position vectors
0 Qs
Vectors and Matrices
20 Qs⚡ Practice
Practise the whole syllabus.
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