IGCSE & A Level · 109 topics

Mathematics

G3N tutors you through the full Cambridge Mathematics syllabus offline — from Types of number: natural, prime, square, cube, factors, multiples, rational and irrational numbers, reciprocals, Sets: notation, Venn diagrams, union and intersection, Powers and roots and more — with adaptive lessons, instant quizzes, flashcards and exam-ready summaries.

Syllabus

What you’ll cover in Mathematics.

The complete topic outline G3N teaches, mapped to the Cambridge curriculum.

IGCSENumber

18 topics
Types of number: natural, prime, square, cube, factors, multiples, rational and irrational numbers, reciprocals
Sets: notation, Venn diagrams, union and intersection
Powers and roots
Fractions, decimals and percentages
Ordering quantities by magnitude
The four operations with integers, fractions and decimals
Indices I: positive, zero and negative integer indices
Standard form
Estimation and rounding
Limits of accuracy
Ratio and proportion
Rates, including average speed, density and population density
Percentages: increase, decrease, simple and compound interest
Efficient use of a calculator
Time, including the 24-hour clock and time zones
Money, including currency conversion
Exponential growth and decay (Extended)
Surds (Extended)

IGCSEAlgebra and graphs

13 topics
Introduction to algebra: forming and using expressions
Algebraic manipulation: expanding and factorising
Algebraic fractions (Extended)
Indices II: algebraic indices
Solving linear, simultaneous and quadratic equations
Inequalities
Sequences and the nth term
Direct and inverse proportion (Extended)
Graphs in practical situations, e.g. distance-time and speed-time
Graphs of functions
Sketching curves
Differentiation of polynomials (Extended)
Functions, including composite and inverse functions (Extended)

IGCSECoordinate geometry

7 topics
Coordinates in two dimensions
Drawing linear graphs
Gradient of a linear graph
Length and midpoint of a line segment (Extended)
Equations of linear graphs
Parallel lines
Perpendicular lines (Extended)

IGCSEGeometry

8 topics
Geometrical terms: points, lines, angles, polygons, solids
Geometrical constructions with ruler and compasses
Scale drawings
Similarity
Symmetry, 2D and 3D
Angle properties of triangles, quadrilaterals and polygons
Circle theorems I
Circle theorems II (Extended)

IGCSEMensuration

5 topics
Units of measure
Area and perimeter of 2D shapes
Circles, arcs and sectors
Surface area and volume of 3D solids
Compound shapes and parts of shapes

IGCSETrigonometry

5 topics
Pythagoras' theorem
Right-angled triangles: sine, cosine and tangent ratios
Exact trigonometric values (Extended)
Graphs of trigonometric functions (Extended)
Non-right-angled triangles: sine rule, cosine rule and area (Extended)

IGCSETransformations and vectors

4 topics
Transformations: translation, reflection, rotation and enlargement
Vectors in two dimensions (Extended)
Magnitude of a vector (Extended)
Vector geometry (Extended)

IGCSEProbability

4 topics
Introduction to probability
Relative and expected frequencies
Probability of combined events, including tree diagrams
Conditional probability (Extended)

IGCSEStatistics

7 topics
Classifying statistical data
Interpreting statistical data
Averages and measures of spread: mean, median, mode and range
Statistical charts and diagrams
Scatter diagrams and correlation
Cumulative frequency diagrams (Extended)
Histograms (Extended)

A LevelPure Mathematics 1 (Paper 1, AS)

8 topics
Quadratics
Functions
Coordinate geometry
Circular measure
Trigonometry
Series
Differentiation
Integration

A LevelPure Mathematics 2 (Paper 2, AS)

6 topics
Algebra
Logarithmic and exponential functions
Trigonometry
Differentiation
Integration
Numerical solution of equations

A LevelPure Mathematics 3 (Paper 3, A2)

9 topics
Algebra
Logarithmic and exponential functions
Trigonometry
Differentiation
Integration
Numerical solution of equations
Vectors
Differential equations
Complex numbers

A LevelMechanics (Paper 4)

5 topics
Forces and equilibrium
Kinematics of motion in a straight line
Momentum
Newton's laws of motion
Energy, work and power

A LevelProbability & Statistics 1 (Paper 5)

5 topics
Representation of data
Permutations and combinations
Probability
Discrete random variables
The normal distribution

A LevelProbability & Statistics 2 (Paper 6)

5 topics
The Poisson distribution
Linear combinations of random variables
Continuous random variables
Sampling and estimation
Hypothesis tests
How G3N helps

Turn this syllabus into a pass.

Both tiers, one tutor

IGCSE and A Level content sit side by side, so the tutor follows you from Year 10 through to Year 13.

Structured by syllabus

Topics follow the organisation of the current Cambridge syllabus for each subject, not generic web answers.

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