# IB Math AI HL - Questionbank

The IB Math Applications & Interpretation (AI) HL Questionbank is a great source of practice questions, coming from the entire syllabus! Each question comes with a clear markscheme and solution video, with an experienced IB teacher going through the question step-by-step. The questions are organized by topic and arranged by difficulty, making it the perfect resource for studying a particular concept.

Topic 1

## Number & Algebra

Topic 1 All

#### All Questions in Topic 1 Number & Algebra

Number Skills

#### Approximation, Rounding, Decimal Places, Significant Figures, Scientific Notation, Percentage Error...

Sequences & Series

#### Arithmetic & Geometric Sequences & Series, Finding Terms & Sum of Terms, Infinite Sum, Sigma Notation...

Financial Mathematics

#### Compound Interest, Depreciation, Loans & Amortization, Annuities, Using Finance Solver on the Calculator...

Complex Numbers

#### Cartesian/ Polar/ Euler Form, Operations (+-x/) & Powers, Argand Diagrams, Applications with Sin/ Cos Waves...

Matrices

#### Operations (+-x), Identity/ Determinant/ Inverse, Systems of Linear Equations, Eigenvalues & Eigenvectors...

Topic 2

## Functions

Topic 2 All

#### All Questions in Topic 2 Functions

RV FREE

Linear Equations & Graphs

#### Forms of Linear Lines, Gradient, Intercepts, Parallel & Perpendicular Lines, Perpendicular Bisectors...

RV FREE

Applications of Functions

#### Linear, Quadratic, Exponential, Log, Sinusoidal, Logistic, Piecewise. Scaling & Linearizing using Logs...

RV FREE

Properties of Functions

#### Understanding the Domain & Range of a Function, Finding & Interpreting Composite & Inverse Functions...

RV FREE

Transformations

#### Horizontal & Vertical Translations, Reflections in X & Y Axes, Stretches with Scale Factors, Composite...

RV FREE

Topic 3

## Geometry & Trigonometry

Topic 3 All

#### All Questions in Topic 3 Geometry & Trigonometry

RV GOLD

Geometry of 3D Shapes

#### Dimensions, Surface Area, Volume. 3D Shapes Including Spheres, Hemispheres, Cones, Prisms & Pyramids...

RV GOLD

Trigonometry

#### Right & Non-Right Triangles: Sin/Cos/Tan, Sin & Cosine Rule, Area, Circles: Arcs & Sectors, Radians...

RV GOLD

Voronoi Diagrams

#### Sites/ Edges/ Cells/ Vertices, Perpendicular Bisectors, Nearest Neighbour Interpolation, Toxic Waste Dump...

RV GOLD

Trigonometric Functions

#### The Unit Circle, Trig Identities, Ambigious Case of Sine Rule, Solving Trig Equations, Trig Functions & Graphs...

RV GOLD

Geometric Transformations

#### Transformation of Shapes & Points Using Matrices. Reflections/ Stretches/ Enlargements/ Translations/ Rotations...

RV GOLD

Vectors

#### Vector Basics, Scalar & Vector Product, Vector Eqn of a Line, Angle Between, Applications to Kinematics...

RV GOLD

Graph Theory

#### Graph Basics, Walks/Trails etc, Eulerian/ Hamiltonian, Kruskal's/ Prim's, Chinese Postman, Travelling Salesman...

RV GOLD

Topic 4

## Statistics & Probability

Topic 4 All

#### All Questions in Topic 4 Statistics & Probability

RV GOLD

Descriptive Statistics

#### Mean/ Median/ Mode, Interquartile Range, Histograms, Box & Whisker Plots, Cumulative Freq, Grouped Data...

RV GOLD

Bivariate Statistics

#### Scatter Plots, Correlation (Pearson/ Spearman), Linear & Non-Linear Regression, Coefficient of Determination...

RV GOLD

Probability

#### Basic Prob, Tree/ Venn/ Sample Space Diagrams, Conditional Prob, Transition Matrices & Markov Chains...

RV GOLD

Distributions

#### Probability/ Binomial/ Normal/ Poission Distributions. Random Variables & Combinations of Random Variables...

RV GOLD

Hypothesis Testing

#### Ho/H1, Sig Levels, p-values, chi-squared tests, t-tests, Critical Val/ Reg, Type 1/2 Errors, Pop Mean & Proportion...

RV GOLD

Estimation & Confidence Intervals

#### Reliability & Validity of Data Cellection, Unbiased Estimators, Central Limit Theorem, Confidence Intervals...

RV GOLD

Topic 5

## Calculus

Topic 5 All

#### All Questions in Topic 5 Calculus

RV GOLD

Differentiation

#### Product/ Chain/ Quotient Rules, Double Derivative Test, Tangents/ Normals, Max/ Min/ Optimisation, Related Rates...

RV GOLD

Integration

#### Anti-Diff, Area Under & Beneath Curves, Trapezoidal Rule, Integration by Substitution, Volumes of Revolution...

RV GOLD

Kinematics

#### Displacement, Velocity, Acceleration, Total Distance Travelled, Kinematic Graphs...

RV GOLD

Differential Equations

#### Solving Differential Eqs, Slope Fields, First Order & Coupled Differential Eqs, Euler's Methods, Phase Portraits...

RV GOLD

Thank you Revision Village Members

#### #1 IB Math Resource

Revision Village was ranked the #1 IB Math Resources by IB Students & Teachers in 2021 & 2022.

#### 34% Grade Increase

Revision Village students scored 34% greater than the IB Global Average in their exams (2021).

#### 70% of IB Students

More and more IB students are using Revision Village to prepare for their IB Math Exams.

Frequently Asked Questions

## What is the IB Math AI HL Questionbank?

The IB Math Applications and Interpretation (AI) HL Questionbank is a comprehensive set of IB Mathematics exam style questions, categorised into syllabus topic and concept, and sorted by difficulty of question. The bank of exam style questions are accompanied by high quality step-by-step markschemes and video tutorials, taught by experienced IB Mathematics teachers. The IB Mathematics AI HL Question bank is the perfect exam revision resource for IB students looking to practice IB Math exam style questions in a particular topic or concept in their AI Higher Level course.

## Where should I start in the AI HL Questionbank?

The AI HL Questionbank is designed to help IB students practice AI HL exam style questions in a specific topic or concept. Therefore, a good place to start is by identifying a concept that you would like to practice and improve in and go to that area of the AI HL Question bank. For example, if you want to practice AI HL exam style questions involving Matrices, you can go to AI HL Topic 1 (Number & Algebra) and go to the Matrices area of the question bank. On this page there is a carefully designed set of IB Math AI HL exam style questions, progressing in order of difficulty from easiest to hardest. If youâ€™re just getting started with your revision, you could start at the top of the page with Question 1, or if you already have some confidence, you could start at the medium difficulty questions and progress down.

## How should I use the AI HL Questionbank?

The AI HL Questionbank is perfect for revising a particular topic or concept, in-depth. For example, if you wanted to improve your knowledge of Complex Numbers, there is a designed set of full length IB Math AI HL exam style questions focused specifically on this concept. Alternatively, Revision Village also has an extensive library of AI HL Practice Exams, where students can simulate the length and difficulty of an IB exam with the Mock Exam sets, as well as AI HL Key Concepts, where students can learn and revise the underlying theory, if missed or misunderstood in class.

## What if I finish the AI HL Questionbank?

With an extensive and growing library of full length IB Math Applications and Interpretation (AI) HL exam style questions in the AI HL Question bank, finishing all of the questions would be a fantastic effort, and you will be in a great position for your final exams. If you were able to complete all the questions in the AI HL Question bank, then a popular option would be to go to the AI HL Practice Exams section on Revision Village and test yourself with the Mock Exam Papers, to simulate the length and difficulty of an actual IB Mathematics AI HL exam.

### More IB Math AI HL Resources

## Questionbank

All the questions you could need! Sorted by topic and arranged by difficulty, with mark schemes and video solutions for every question.

## Practice Exams

Choose your revision tool! Contains topic quizzes for focused study, Revision Village mock exams covering the whole syllabus, and the revision ladder to precisely target your learning.

## Key Concepts

Helpful refreshers summarizing exactly what you need to know about the most important concepts covered in the course.

## Past Papers

Full worked solutions to all past paper questions, taught by experienced IB instructors.