DP IB Applications & Interpretation (AI): SL Exam Questions By Topic

Standard Form, Laws of Indices, Introduction to Logarithms, Approximation, Upper & Lower Bounds, Percentage Error, Accuracy & Estimation, Solving Equations using a GDC

Language of Sequences & Series, Sigma Notation, Arithmetic Sequences & Series, Geometric Sequences & Series, Applications of Sequences & Series

Compound Interest & Depreciation, Amortisation, Annuities

Equations of a Straight Line, Parallel & Perpendicular Lines

Functions & Mappings, Inverse Functions, Graphing Functions & Their Key Features, Intersecting Graphs, Quadratic Functions & Graphs, Cubic Functions & Graphs, Exponential Functions & Graphs, Sinusoidal Functions & Graphs

Linear & Piecewise Models, Quadratic Models, Cubic Models, Exponential Models, Direct & Inverse Variation, Sinusoidal Models, Strategy for Modelling Functions

Coordinate Geometry, Perpendicular Bisectors, Arcs & Sectors

3D Coordinate Geometry, Volume & Surface Area

Pythagoras & Right-Angled Trigonometry, Sine Rule, Cosine Rule & Area of a Triangle, Angles of Elevation & Depression, Bearings & Constructions

Drawing Voronoi Diagrams, Interpreting Voronoi Diagrams, Toxic Waste Dump Problem

Sampling & Data Collection, Measures of Central Tendency, Measures of Dispersion, Frequency Tables, Linear Transformations of Data, Outliers, Box & Whisker Diagrams, Cumulative Frequency Graphs, Histograms, Interpreting Data

Scatter Diagrams & Correlation, Pearson's Product-Moment Correlation Coefficient, Spearman's Rank Correlation Coefficient, Comparison of Correlation Coefficients, Linear Regression

Probability & Types of Events, Independent & Mutually Exclusive Events, Conditional Probability, Venn Diagrams, Tree Diagrams

Discrete Probability Distributions, Expected Values

The Binomial Distribution, Calculating Binomial Probabilities

The Normal Distribution, Calculations with Normal Distribution

Introduction to Hypothesis Testing, Chi-squared Test for Independence, Goodness of Fit Test, The t-test

Introduction to Derivatives, Differentiating Powers of x, Gradients, Tangents & Normals, Increasing & Decreasing Functions, Local Minimum & Maximum Points, Modelling with Differentiation

Numerical Integration using the Trapezoidal Rule, Introduction to Integration, Integrating Powers of x, Finding the Constant of Integration, Finding Areas Using a GDC