IB

IB Math AI HL
Paper 3

This resource provides two collections of extended-response questions for IB Mathematics: Applications and Interpretation HL Paper 3. Our IB Exam-Style Questions, created by experienced IB math teachers and examiners, simulate actual Paper 3 format and difficulty. They combine multiple topics in unfamiliar contexts to develop problem-solving, modeling, and investigative skills. Our Topic-Specific Questions focus on individual Math AI syllabus subtopics, for targeted practice as you learn new content throughout the course.

IB Exam-Style Questions

This resource contains questions simulating the style, structure and challenge of IB Paper 3 exam questions.

Topic-Specific Questions

This resource contains IB Paper 3 style questions designed for use during the course and offers focused practice on specific subtopics.

IB Exam-Style Questions

This resource contains questions simulating the style, structure and challenge of IB Paper 3 exam questions.

Number & Algebra

hard

38 mins

Modeling with Trigonometric Functions

Use trigonometric functions to model the heights of Ferris wheel cars. [28 marks]

hard

38 mins

Statistical Modeling and Markov Chain Analysis

Use binomial distributions and Markov chain models to analyse data. [28 marks]

hard

34 mins

Statistical Analysis of Product Weights

Use of statistics to test validity of the company's claims regarding the weights of their products. [25 marks]

RV Gold

Functions

hard

38 mins

Modeling with Trigonometric Functions

Use trigonometric functions to model the heights of Ferris wheel cars. [28 marks]

hard

38 mins

Regression Equations and Differential Equations

Use regression equations and differential equations to model video views. [28 marks]

RV Gold

Geometry & Trigonometry

hard

37 mins

Voronoi Diagrams and Graph Theory

Use Voronoi diagrams and graph theory to determine the optimal location for a business to expand its operations. [27 marks]

RV Gold

hard

38 mins

Modeling with Trigonometric Functions

Use trigonometric functions to model the heights of Ferris wheel cars. [28 marks]

hard

40 mins

Differential Calculus and Cones

Use calculus to model the height of syrup in a cone shaped container. [29 marks]

RV Gold

hard

42 mins

Three-Dimensional Geometry and Optimisation

Use 3D coordinate geometry and calculus to optimise a running route. [31 marks]

RV Gold

Statistics & Probability

medium

33 mins

Hypothesis Testing and Probability Distributions

Consider sequences as probability distributions and then perform hypothesis tests. [24 marks]

RV Gold

medium

35 mins

Hypothesis Testing and Sampling Methods

Use various hypothesis tests to determine whether conclusions are valid based on the sampling method used. [26 marks]

RV Gold

medium

37 mins

Hypothesis Testing and Bivariate Data

Use a range of hypothesis tests to explore relationships between groups of continuous and discrete data. [27 marks]

RV Gold

hard

38 mins

Hypothesis Testing and Non-linear Regression

Use hypothesis testing and regression to explore the relationship between sets of data. [28 marks]

RV Gold

hard

44 mins

Hypothesis Testing for Training Effectiveness

Use a range of hypothesis tests to determine whether in-person training is more effective than online training. [32 marks]

RV Gold

hard

37 mins

Hypothesis Testing for Sales Data

Statistical tests to investigate whether advertising leads to increased profits for a bakery. [27 marks]

RV Gold

hard

38 mins

Regression Equations and Differential Equations

Use regression equations and differential equations to model video views. [28 marks]

RV Gold

hard

46 mins

Probability Distributions and Modeling Sports Data

Use different probability distributions to model basketball three-point shooting data. [34 marks]

RV Gold

hard

38 mins

Statistical Modeling and Markov Chain Analysis

Use binomial distributions and Markov chain models to analyse data. [28 marks]

hard

34 mins

Statistical Analysis of Product Weights

Use of statistics to test validity of the company's claims regarding the weights of their products. [25 marks]

RV Gold

Calculus

hard

38 mins

Population Growth and Differential Equations

Investigation of population growth using differential equations. [28 marks]

RV Gold

hard

40 mins

Differential Calculus and Cones

Use calculus to model the height of syrup in a cone shaped container. [29 marks]

RV Gold

hard

45 mins

Predator-Prey Models: Sheep and Coyotoes

Use coupled differential equations to model predator-prey populations and predict population dynamics. [33 marks]

RV Gold

hard

37 mins

Differential Equations and Limits

Use differential equations to explore swimming pool sanitizer levels. [27 marks]

RV Gold

hard

42 mins

Three-Dimensional Geometry and Optimisation

Use 3D coordinate geometry and calculus to optimise a running route. [31 marks]

RV Gold

hard

45 mins

Predator-Prey Models: Turtles and Tiger Sharks

Use coupled differential equations to model predator-prey populations and predict population dynamics. [33 marks]

RV Gold

hard

41 mins

Differential Equations and Volumes of Revolution

Use analytical techniques to find a curve equation that is rotated about the x-axis to find a volume. [30 marks]

RV Gold

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More IB Mathematics 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.

Paper 3

This resource offers a collection of mathematical modeling and investigation-style questions designed to help you prepare for the IB Math AI HL Paper 3 exam.

New

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.

Bootcamps & IA Toolkit

This resource combines topic-based Bootcamps and an IA Toolkit. Bootcamps review key concepts, while the IA Toolkit supports your Internal Assessment.

NewBeta

Flashcards

Use multiple-choice questions and study crucial terminology on desktop or mobile app to improve your marks!

Beta

Frequently Asked Questions

IB Mathematics Applications and Interpretation (AI) Higher Level (HL) is one of the four math courses introduced in the current IB Mathematics curriculum (2021-2027). The AI HL course was designed by the IB to cater for ‘citizens in our future world’, whereby students can harness the power of technology to solve real life practical problems. The Applications and Interpretation HL course should be considered by students who are strong at mathematics, but undecided if they want to pursue courses and pathways that rely on mathematics after their IB Diploma Program.
The IB Mathematics Applications and Interpretation HL course consists of four assessment items that contribute to a students overall score for the course. There are three exam papers, combined to be worth 80%. Paper 1 (short response questions), Paper 2 (long response questions) and Paper 3 (Long response – problem solving questions) all encourage students to utilize their graphical display calculators. The fourth assessment item, worth the remaining 20% of the marks, is a ‘Mathematical Exploration’, where students complete a written assignment involving the investigation of an area of mathematics that interests them.
There are two phases students progress through in their two-year IB Math AI HL course: the learning phase and the revision phase. The learning phase occurs in class, with their teacher and textbooks, where students first encounter and explore the mathematical concepts and consolidate their understanding by solving questions specific to that concept. The revision phase, which is what Revision Village is specifically designed for, is when students consolidate their understanding of all of the concepts in the AI HL course and appreciate how the concepts are connected. In the revision phase, the most effective strategy is to practice lots of IB Math AI HL exam questions, to build confidence, reach mastery, and be prepared for the AI HL examinations.
Revision Village is specifically designed to support IB students in the revision phase of their IB Mathematics Applications and Interpretation Higher Level course. Revision Village has four main sections, each for different revision purposes: 1) Questionbank: a large library of IB Math AI HL exam questions categorised by topic and ordered by difficulty, 2) Practice Exams: a carefully designed set of quizzes and mock papers for students to use in their final phase of revision, 3) Past Paper Video Solutions: step-by-step video tutorials of past AI HL exam questions, taught by experienced IB Teachers, and 4) Key Concepts: short concise videos that recap the important theory in the AI HL course. Revision Village is the perfect place for IB Students to learn, practice and prepare for their IB Mathematics exam stress-free, with all of the resources they need in one place.