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IB Diploma Mathematics · Applications and Interpretation · SL and HL

IB Maths AI

Everything for the course in one place: notes for every topic, original questions with mark schemes, a test builder, flashcards and simulations.

Test builderMake a printable test in secondsSL question bank2009 questionsHL question bank2009 questionsNotes39 topics, worked examplesDiagnostic testFind your weak topicsFlashcardsDefinitions and key ideasSimulationsModels, statistics, calculusCalculator guidesExam mode and key sequencesFormula sheetWhat to know by heartStudent guideHow the course works
Topic 1

Number and algebra

SL questions (536) · HL questions (510) · Flashcards

Notes: Approximation, percentage error and standard form · Financial mathematics, loans and annuities · Arithmetic and geometric sequences in context · Exponents and logarithms · Complex numbers in Cartesian, polar and exponential form HL · Matrices and matrix algebra HL · Eigenvalues and eigenvectors HL

Topic 2

Functions

SL questions (415) · HL questions (323) · Flashcards

Notes: Linear models and piecewise models · Quadratic and cubic models · Exponential and sinusoidal models · Choosing and evaluating models · Logarithmic scales and linearising data HL · Transformations of graphs and logistic models HL

Topic 3

Geometry and trigonometry

SL questions (327) · HL questions (416) · Flashcards

Notes: Right-angled trigonometry, bearings and the sine and cosine rules · Volume and surface area in context · Voronoi diagrams · Vectors, scalar and vector products HL · Vector kinematics HL · Graph theory and adjacency matrices HL · Minimum spanning trees, Chinese postman and travelling salesman HL · Matrix transformations HL

Topic 4

Statistics and probability

SL questions (347) · HL questions (272) · Flashcards

Notes: Sampling and descriptive statistics · Correlation and regression · Probability and the binomial distribution · Normal distribution and chi-squared tests · T-tests and confidence intervals HL · The Poisson distribution HL · Linear combinations of random variables HL · Markov chains and transition matrices HL · Non-linear regression and the coefficient of determination HL

Topic 5

Calculus

SL questions (384) · HL questions (488) · Flashcards

Notes: Gradients, tangents and rates of change · Optimisation in context · Integration and the trapezoidal rule · Derivatives of trigonometric, exponential and logarithmic functions HL · Chain, product and quotient rules HL · Integration by substitution and volumes of revolution HL · Kinematics with calculus HL · Slope fields and Euler's method HL · Coupled and second-order differential equations HL

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