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158 PDF Practice Tests
50 Marks • 75 Minutes per Test
Paper 1 + Paper 2 (4037)
Handwritten Answers
Partial Marking
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1. Functions
1.1 Function notation, domain and range
2 PDF Tests1.2 One-one functions, inverses and composite functions
2 PDF Tests1.3 Modulus graphs and inverse-function graphs
1 PDF Test
2. Quadratic functions
2.1 Completing the square, maxima and minima
2 PDF Tests2.2 Quadratic graphs, roots and discriminant
2 PDF Tests2.3 Quadratic equations and related problems
1 PDF Test
3. Factors of polynomials
3.1 Remainder and factor theorems
2 PDF Tests3.2 Polynomial factorisation and solving equations
2 PDF Tests
4. Equations, inequalities and graphs
4.1 Modulus equations
1 PDF Test4.2 Modulus inequalities
1 PDF Test4.3 Equations reducible to quadratic form
2 PDF Tests4.4 Cubic graphs and cubic inequalities
2 PDF Tests
5. Simultaneous equations
5.1 Linear simultaneous equations
2 PDF Tests5.2 Linear and non-linear simultaneous equations
2 PDF Tests
6. Logarithmic and exponential functions
6.1 Laws of logarithms and exponential relationships
2 PDF Tests6.2 Solving logarithmic and exponential equations
2 PDF Tests6.3 Graphs and applications of exponential functions
2 PDF Tests
7. Straight-line graphs
7.1 Straight-line form and gradient-intercept methods
2 PDF Tests7.2 Transforming relationships to linear form
2 PDF Tests
8. Coordinate geometry of the circle
8.1 Equation, centre and radius of a circle
2 PDF Tests8.2 Lines, circles and intersections
2 PDF Tests8.3 Tangents and circle geometry
1 PDF Test
9. Circular measure
9.1 Radians, arc length and sector area
2 PDF Tests9.2 Combined circular-measure problems
2 PDF Tests
10. Trigonometry
10.1 Trigonometric functions, graphs and exact values
2 PDF Tests10.2 Trigonometric identities
2 PDF Tests10.3 Trigonometric equations
2 PDF Tests10.4 Compound-angle and double-angle relationships
2 PDF Tests10.5 Applications of trigonometry
1 PDF Test
11. Permutations and combinations
11.1 Permutations and arrangements
2 PDF Tests11.2 Combinations and selections
2 PDF Tests11.3 Restricted counting problems
1 PDF Test
12. Series
12.1 Arithmetic and geometric progressions
2 PDF Tests12.2 Sums and convergence of progressions
2 PDF Tests12.3 Binomial expansions
2 PDF Tests
13. Vectors in two dimensions
13.1 Vector notation, magnitude and operations
2 PDF Tests13.2 Position vectors and geometrical problems
2 PDF Tests13.3 Vector equations and applications
2 PDF Tests13.4 Velocity and vector motion
1 PDF Test
14. Calculus
14.1 Differentiation of standard functions
2 PDF Tests14.2 Product, quotient and chain rules
2 PDF Tests14.3 Tangents, normals and stationary points
2 PDF Tests14.4 Rates of change, approximations and optimisation
2 PDF Tests14.5 Integration of standard functions
2 PDF Tests14.6 Definite integration and plane areas
1 PDF Test14.7 Kinematics using differentiation and integration
1 PDF Test
Topic Mixed Practice
1. Functions
4 PDF Tests2. Quadratic functions
4 PDF Tests3. Factors of polynomials
4 PDF Tests4. Equations, inequalities and graphs
4 PDF Tests5. Simultaneous equations
4 PDF Tests6. Logarithmic and exponential functions
4 PDF Tests7. Straight-line graphs
4 PDF Tests8. Coordinate geometry of the circle
4 PDF Tests9. Circular measure
4 PDF Tests10. Trigonometry
4 PDF Tests11. Permutations and combinations
4 PDF Tests12. Series
4 PDF Tests13. Vectors in two dimensions
4 PDF Tests14. Calculus
4 PDF Tests
Full-Syllabus Mixed Practice
Additional Mathematics (4037) Full-Syllabus Mixed Practice
20 PDF Tests
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