Practise

Practise

Every workbook in the library: original exam-style questions with room to work, in print and screen editions, each with a fully worked answer book. The links open the PDFs directly; each topic name opens its lesson.

Jump to: Pure · Statistics and Mechanics

Pure

PROOF

• The structure of proof: deduction and exhaustionprint · screen · answers
• Disproof and proof by contradictionprint · screen · answers

ALGEBRA AND FUNCTIONS

• Indices and surdsprint · screen · answers
• Quadratic functionsprint · screen · answers
• Simultaneous equations and inequalitiesprint · screen · answers
• Polynomials and the factor theoremprint · screen · answers
• Graphs, proportion and transformationsprint · screen · answers
• Functions, inverses and the modulusprint · screen · answers
• Partial fractionsprint · screen · answers
• Functions in modellingprint · screen · answers

COORDINATE GEOMETRY

• Straight linesprint · screen · answers
• Circlesprint · screen · answers
• Parametric equationsprint · screen · answers

SEQUENCES AND SERIES

• The binomial expansionprint · screen · answers
• The general binomial expansionprint · screen · answers
• Sequences and sigma notationprint · screen · answers
• Arithmetic seriesprint · screen · answers
• Geometric seriesprint · screen · answers

TRIGONOMETRY

• Triangles and the sine and cosine rulesprint · screen · answers
• Trigonometric graphs and equationsprint · screen · answers
• Radians, arcs and small anglesprint · screen · answers
• Reciprocal and inverse trigonometric functionsprint · screen · answers
• Compound angles and the harmonic formprint · screen · answers
• Trigonometric modellingprint · screen · answers

EXPONENTIALS AND LOGARITHMS

• Exponential functions and eprint · screen · answers
• Logarithms and their lawsprint · screen · answers
• Log graphs and exponential modelsprint · screen · answers

DIFFERENTIATION

• The derivative from first principlesprint · screen · answers
• Differentiating powers of xprint · screen · answers
• Tangents, turning points and curve behaviourprint · screen · answers
• Differentiating trig, exponentials and logsprint · screen · answers
• The product, quotient and chain rulesprint · screen · answers
• Implicit and parametric differentiationprint · screen · answers
• Rates of change and building differential equationsprint · screen · answers

INTEGRATION

• Integration as antidifferentiationprint · screen · answers
• Definite integrals and areasprint · screen · answers
• Integrating standard functionsprint · screen · answers
• Integration by substitution and by partsprint · screen · answers
• Integrating rational functionsprint · screen · answers
• Areas, parametric curves and the limit of a sumprint · screen · answers
• Solving differential equationsprint · screen · answers

NUMERICAL METHODS

• Locating roots and iterationprint · screen · answers
• Newton-Raphson and the trapezium ruleprint · screen · answers

VECTORS

• Vectors in two dimensionsprint · screen · answers
• Vectors in three dimensionsprint · screen · answers

Statistics and Mechanics

STATISTICS

• Sampling and the large data setprint · screen · answers
• Measures of location and spreadprint · screen · answers
• Representing and interpreting dataprint · screen · answers
• Correlation and regressionprint · screen · answers
• Probability and Venn diagramsprint · screen · answers
• Conditional probabilityprint · screen · answers
• The binomial distributionprint · screen · answers
• The normal distributionprint · screen · answers
• Hypothesis testing with the binomialprint · screen · answers
• Hypothesis testing: correlation and the normalprint · screen · answers

MECHANICS

• Modelling, quantities and unitsprint · screen · answers
• Kinematics with constant accelerationprint · screen · answers
• Kinematics with variable accelerationprint · screen · answers
• Forces and Newton's lawsprint · screen · answers
• Connected particles and pulleysprint · screen · answers
• Projectilesprint · screen · answers
• Friction and inclined planesprint · screen · answers
• Statics of a particleprint · screen · answers
• Momentsprint · screen · answers

Every question is original InkMaths material; none is taken from a past paper. Answers show the working, not only the result.