Additional Mathematics mock tests

Syllabus chapters

1. Functions 203 questions
   • Domain, range and notation (1.1-1.3)
   • Modulus graphs y = |f(x)| (1.4)
   • Inverse functions (1.5, 1.6, 1.8)
   • Composite functions (1.7)
2. Quadratic functions 175 questions
   • Completing the square, max/min and range (2.1, 2.2)
   • Discriminant: roots and line-curve intersection (2.3)
   • Quadratic equations and inequalities (2.4, 2.5)
3. Factors of polynomials 155 questions
   • Remainder and factor theorems (3.1)
   • Factorising polynomials and solving cubics (3.2, 3.3)
4. Equations, inequalities and graphs 139 questions
   • Modulus equations and inequalities (4.1, 4.2)
   • Equations reducible to quadratics (4.3)
   • Cubic graphs, their moduli and cubic inequalities (4.4, 4.5)
5. Simultaneous equations 80 questions
   • Linear and non-linear simultaneous equations (5.1)
6. Logarithmic and exponential functions 166 questions
   • Exponential and log graphs (6.1)
   • Laws of logarithms and change of base (6.2)
   • Exponential equations a^x = b (6.3)
7. Straight-line graphs 173 questions
   • Equation of a line, parallel and perpendicular (7.1, 7.2)
   • Midpoint, length and perpendicular bisector (7.3)
   • Transforming to straight-line form (7.4)
8. Coordinate geometry of the circle 22 questions
   • Equation of a circle (8.1)
   • Circles and lines: intersection and tangents (8.2, 8.3)
   • Two circles (8.4)
9. Circular measure 109 questions
   • Arc length and sector area in radians (9.1)
10. Trigonometry 332 questions
    • Six trig functions, amplitude, period and graphs (10.1-10.3)
    • Trigonometric equations (10.4, 10.5)
    • Proving identities (10.6)
11. Permutations and combinations 167 questions
    • Permutations: arrangements (11.1-11.3)
    • Combinations: selections (11.1-11.3)
12. Series 197 questions
    • Binomial expansion and general term (12.1, 12.2)
    • Arithmetic progressions (12.3, 12.4)
    • Geometric progressions and sum to infinity (12.3-12.5)
13. Vectors in two dimensions 148 questions
    • Vector notation, position and unit vectors (13.1, 13.2)
    • Vector geometry (13.3)
    • Velocity vectors and relative motion (13.4)
14. Calculus 747 questions
    • Differentiation: rules (14.1-14.4)
    • Tangents, normals and stationary points (14.5, 14.6, 14.9)
    • Rates of change, small increments, practical max/min (14.7, 14.8)
    • Integration and definite integrals (14.10-14.12)
    • Areas by integration (14.13)
    • Kinematics (14.14, 14.15)