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Mathematics - Additional 0606
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Syllabus
IGCSE Mathematics - Additional 0606 syllabus
Cambridge's own syllabus, section by section, with every subtopic linked to its questions.
1 · Functions
1.1 Understand the terms: function, domain
8
1.2 Find the domain and range of functions
11
1.3 Recognise and use function notation
1
1.4 Understand the relationship between
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1.5 Explain in words why a given function does
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1.6 Find the inverse of a one–one function
19
1.7 Form and use composite functions
16
1.8 Use sketch graphs to show the relationship
3
2 · Quadratic functions
2.1 Find the maximum or minimum value of the
11
2.2 Use the maximum or minimum value of f(x) to
4
2.3 Know the conditions for f(x) = 0 to have
12
2.4 Solve quadratic equations for real roots
6
2.5 Find the solution set for quadratic inequalities
11
3 · Factors of polynomials
3.1 Know and use the remainder and factor
11
3.2 Find factors of polynomials
12
3.3 Solve cubic equations
9
4 · Equations, inequalities and graphs
4.1 Solve equations of the type
15
4.2 Solve graphically or algebraically inequalities
8
4.3 Use substitution to form and solve a quadratic
13
4.4 Sketch the graphs of cubic polynomials and
6
4.5 Solve graphically cubic inequalities of the form
2
5 · Simultaneous equations
5.1 Solve simultaneous equations in two
24
6 · Logarithmic and exponential functions
6.1 Know and use simple properties and graphs
6
6.2 Know and use the laws of logarithms
19
6.3 Solve equations of the form ax = b
20
7 · Straight-line graphs
7.1 Use the equation of a straight line
18
7.2 Know and use the condition for two lines to
10
7.3 Solve problems involving midpoint and length
10
7.4 Transform given relationships to and from
13
8 · Coordinate geometry of the circle
8.1 Know and use the equation of a circle with
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8.2 Solve problems involving the intersection of a
4
8.3 Solve problems involving tangents to a circle
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8.4 Solve problems involving the intersection of
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9 · Circular measure
9.1 Solve problems involving the arc length and
16
10 · Trigonometry
10.1 Know and use the six trigonometric functions
6
10.2 Understand and use the amplitude and
8
10.3 Draw and use the graphs of
5
10.4 Use the relationships
8
10.5 Solve, for a given domain, trigonometric
31
10.6 Prove trigonometric relationships involving the
14
11 · Permutations and combinations
11.1 Recognise the difference between
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11.2 Know and use the notation n! and
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11.3 Solve problems on arrangement and selection
20
12 · Series
12.1 Use the binomial theorem for expansion of
18
12.2 Use the general term
3
12.3 Recognise arithmetic and geometric
3
12.4 Use the formulas for the nth term and for the
14
12.5 Use the condition for the convergence of a
4
13 · Vectors in two dimensions
13.1 Understand and use vector notation
2
13.2 Know and use position vectors and unit
10
13.3 Find the magnitude of a vector; add and
18
13.4 Compose and resolve velocities
7
14 · Calculus
14.1 Understand the idea of a derived function
1
14.2 Use the notations
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14.3 Know and use the derivatives of the standard
9
14.4 Differentiate products and quotients of
25
14.5 Use differentiation to find gradients, tangents
41
14.6 Use differentiation to find stationary points
21
14.7 Apply differentiation to connected rates of
19
14.8 Apply differentiation to practical problems
11
14.9 Use the first and second derivative tests to
6
14.10 Understand integration as the reverse process
18
14.11 Integrate sums of terms in powers of x
4
14.12 Integrate functions of the form
10
14.13 Evaluate definite integrals and apply
30
14.14 Apply differentiation and integration
20
14.15 Make use of the relationships in
3