NCEAX
NCEA Level 3 Mathematics
If you find any of these exercises difficult. You can almost certainly find the answer in the excellent book.
Learnwell L3 Calculus Study Guide
Algebra
Surds 1
Surds 2
Remainder and Factor Theorem
Quadratic Equation Roots
Square root equations
Basic Complex Numbers
Argand Diagrams
Complex Quadratics
Polynomials with complex roots
Polar Form 1
Polar Form 2
Locus 1
Locus 2
Locus 3
Locus 4
Differentiation
Revision
Rational Powers
Differentiation of Functions
Chain Rule
Product Rule
Quotient Rule
Parametric Differentiation
Optimisation
Optimise 1
Optimise 2
Optimise 3
Rate of change 1
Rate of change 2
Integration
Revision 1
Revision 2
Negative Powers
Rational Powers
Areas
Substitution resulting in logarithm
Substitution
Proportion
Differential Equation 1
Differential Equation 2