Pure Maths 3 9709 questions by topic
Every past-paper question part, sorted by the syllabus topic it tests. Each one has its official mark scheme.
Algebra
- Modulus · 20 questions
- Polynomial division · 16 questions
- Factor and remainder theorems · 12 questions
- Partial fractions · 30 questions
- Binomial expansion for any rational n · 24 questions
Logarithmic and exponential functions
- Laws of logarithms · 14 questions
- e^x and ln x · 2 questions
- Equations and inequalities with unknown indices · 20 questions
- Reducing to linear form · 10 questions
Trigonometry
- sec, cosec and cot · 6 questions
- Compound and double angle formulae · 33 questions
- R sin(x + a) and R cos(x + a) · 15 questions
Differentiation
- Derivatives of standard functions · 4 questions
- Product and quotient rules · 49 questions
- Parametric and implicit differentiation · 31 questions
Integration
- Standard integrals · 4 questions
- Integration using trigonometric identities · 9 questions
- Integration with partial fractions · 13 questions
- Integrals of the form kf'(x)/f(x) · 3 questions
- Integration by parts · 27 questions
- Integration by substitution · 15 questions
Numerical solution of equations
- Locating roots · 33 questions
- Iteration · 40 questions
Vectors
- Vector operations and magnitude · 20 questions
- Equation of a line · 18 questions
- Intersecting, parallel and skew lines · 22 questions
- Scalar product · 38 questions
Differential equations
- Forming differential equations · 10 questions
- Separating variables · 42 questions
Complex numbers
- Cartesian form and arithmetic · 32 questions
- Complex roots of polynomials · 6 questions
- Modulus, argument and polar form · 21 questions
- Loci in the Argand diagram · 30 questions
Questions and mark schemes from Cambridge International past papers. Paperstreak isn't affiliated with Cambridge.