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Additional Mathematics (4037) Practice
158 Tests • 2,370 Questions
Paper 1 • Non-calculator • 80 marks • 2 hours
Paper 2 • Calculator • 80 marks • 2 hours
1. Functions
1.1 Function notation, domain and range
2 Tests • 30 Questions1.2 One-one functions, inverses and composite functions
2 Tests • 30 Questions1.3 Modulus graphs and inverse-function graphs
1 Test • 15 Questions
2. Quadratic functions
2.1 Completing the square, maxima and minima
2 Tests • 30 Questions2.2 Quadratic graphs, roots and discriminant
2 Tests • 30 Questions2.3 Quadratic equations and related problems
1 Test • 15 Questions
3. Factors of polynomials
3.1 Remainder and factor theorems
2 Tests • 30 Questions3.2 Polynomial factorisation and solving equations
2 Tests • 30 Questions
4. Equations, inequalities and graphs
4.1 Modulus equations
1 Test • 15 Questions4.2 Modulus inequalities
1 Test • 15 Questions4.3 Equations reducible to quadratic form
2 Tests • 30 Questions4.4 Cubic graphs and cubic inequalities
2 Tests • 30 Questions
5. Simultaneous equations
5.1 Linear simultaneous equations
2 Tests • 30 Questions5.2 Linear and non-linear simultaneous equations
2 Tests • 30 Questions
6. Logarithmic and exponential functions
6.1 Laws of logarithms and exponential relationships
2 Tests • 30 Questions6.2 Solving logarithmic and exponential equations
2 Tests • 30 Questions6.3 Graphs and applications of exponential functions
2 Tests • 30 Questions
7. Straight-line graphs
7.1 Straight-line form and gradient-intercept methods
2 Tests • 30 Questions7.2 Transforming relationships to linear form
2 Tests • 30 Questions
8. Coordinate geometry of the circle
8.1 Equation, centre and radius of a circle
2 Tests • 30 Questions8.2 Lines, circles and intersections
2 Tests • 30 Questions8.3 Tangents and circle geometry
1 Test • 15 Questions
9. Circular measure
9.1 Radians, arc length and sector area
2 Tests • 30 Questions9.2 Combined circular-measure problems
2 Tests • 30 Questions
10. Trigonometry
10.1 Trigonometric functions, graphs and exact values
2 Tests • 30 Questions10.2 Trigonometric identities
2 Tests • 30 Questions10.3 Trigonometric equations
2 Tests • 30 Questions10.4 Compound-angle and double-angle relationships
2 Tests • 30 Questions10.5 Applications of trigonometry
1 Test • 15 Questions
11. Permutations and combinations
11.1 Permutations and arrangements
2 Tests • 30 Questions11.2 Combinations and selections
2 Tests • 30 Questions11.3 Restricted counting problems
1 Test • 15 Questions
12. Series
12.1 Arithmetic and geometric progressions
2 Tests • 30 Questions12.2 Sums and convergence of progressions
2 Tests • 30 Questions12.3 Binomial expansions
2 Tests • 30 Questions
13. Vectors in two dimensions
13.1 Vector notation, magnitude and operations
2 Tests • 30 Questions13.2 Position vectors and geometrical problems
2 Tests • 30 Questions13.3 Vector equations and applications
2 Tests • 30 Questions13.4 Velocity and vector motion
1 Test • 15 Questions
14. Calculus
14.1 Differentiation of standard functions
2 Tests • 30 Questions14.2 Product, quotient and chain rules
2 Tests • 30 Questions14.3 Tangents, normals and stationary points
2 Tests • 30 Questions14.4 Rates of change, approximations and optimisation
2 Tests • 30 Questions14.5 Integration of standard functions
2 Tests • 30 Questions14.6 Definite integration and plane areas
1 Test • 15 Questions14.7 Kinematics using differentiation and integration
1 Test • 15 Questions
Topic Mixed Practice
1. Functions
4 Tests • 60 Questions2. Quadratic functions
4 Tests • 60 Questions3. Factors of polynomials
4 Tests • 60 Questions4. Equations, inequalities and graphs
4 Tests • 60 Questions5. Simultaneous equations
4 Tests • 60 Questions6. Logarithmic and exponential functions
4 Tests • 60 Questions7. Straight-line graphs
4 Tests • 60 Questions8. Coordinate geometry of the circle
4 Tests • 60 Questions9. Circular measure
4 Tests • 60 Questions10. Trigonometry
4 Tests • 60 Questions11. Permutations and combinations
4 Tests • 60 Questions12. Series
4 Tests • 60 Questions13. Vectors in two dimensions
4 Tests • 60 Questions14. Calculus
4 Tests • 60 Questions
Full-Syllabus Mixed Practice
Additional Mathematics (4037) Full-Syllabus Mixed Practice
20 Tests • 300 Questions
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