Specification points

Cambridge Cambridge IGCSE Mathematics - Additional 0606

82 points in 15 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 Functions

1.1 Function terminology
1.2 Domain and range
1.3 Function notation
1.4 Graphs of functions and their moduli
1.5 Why a function has no inverse
1.6 Inverse of a one–one function
1.7 Form and use composite functions
1.8 Graphs of a function and its inverse

2 Quadratic functions

2.1 Maximum or minimum of a quadratic
2.2 Sketching quadratics and finding the range
2.3 Conditions for real, equal or no roots
2.4 Solving quadratic equations
2.5 Quadratic inequalities

3 Factors of polynomials

3.1 Remainder and factor theorems
3.2 Factorising polynomials
3.3 Cubic equations

4 Equations, inequalities and graphs

4.1 Modulus equations
4.2 Modulus inequalities
4.3 Equations reducible to quadratics by substitution
4.4 Graphs of cubics and their moduli
4.5 Cubic inequalities by graph

5 Simultaneous equations

5.1 Simultaneous equations

6 Logarithmic and exponential functions

6.1 Logarithmic and exponential functions and graphs
6.2 Laws of logarithms and change of base
6.3 Exponential equations

7 Straight-line graphs

7.1 Equation of a straight line
7.2 Parallel and perpendicular lines
7.3 Midpoint, length and perpendicular bisector
7.4 Converting relationships to straight-line form

8 Coordinate geometry of the circle

8.1 Equation of a circle
8.2 Intersection of a circle and a line
8.3 Tangents to a circle
8.4 Intersection of two circles

9 Circular measure

9.1 Arc length, sector area and radians

10 Trigonometry

10.1 The six trigonometric functions
10.2 Amplitude and period
10.3 Graphs of trigonometric functions
10.4 Trigonometric identities
10.5 Trigonometric equations
10.6 Proving trigonometric relationships

11 Permutations and combinations

11.1 Permutations versus combinations
11.2 Factorial notation, permutations and combinations
11.3 Arrangement and selection problems

12 Series

12.1 Binomial expansion
12.2 General term of a binomial expansion
12.3 Arithmetic and geometric progressions
12.4 nth term and sum of progressions
12.5 Convergence and sum to infinity

13 Vectors in two dimensions

13.1 Vector notation
13.2 Position and unit vectors
13.3 Magnitude and operations on vectors
13.4 Compose and resolve velocities

14 Calculus

14.1 Derived functions
14.2 Notation for derivatives
14.3 Derivatives of standard functions
14.4 Product and quotient rules
14.5 Gradients, tangents and normals
14.6 Stationary points
14.7 Connected rates of change and small increments
14.8 Practical maxima and minima problems
14.9 First and second derivative tests
14.10 Integration as reverse differentiation
14.11 Integrating powers of x
14.12 Integrating standard functions
14.13 Definite integrals and plane areas
14.14 Calculus in kinematics
14.15 Kinematics graphs