IB Maths AA IA Exemplars
View exemplars for IB Maths AA IA coursework, verified with scores by IB examiners.
Showing 48 of 350 exemplars
How do facial proportion variations across the top 20 most beautiful people from different ethnicities correlate with the Golden Ratio
Mathematics Analysis and Approaches (AA)
IA
7
SL
Pro
Finding the area of the Earth visible from a given height
Mathematics Analysis and Approaches (AA)
IA
7
HL
Pro
How do the Divider and Box-Counting methods compare in determining the fractal dimension of Langkawi Island's coastline?
Mathematics Analysis and Approaches (AA)
IA
7
SL
Pro
Evaluating the Accuracy of Finite Difference Approximations for Solving Differential Equations using a Pharmacokinetic Model for the Elimination of Ibuprofen
Mathematics Analysis and Approaches (AA)
IA
6
HL
Pro
Modelling the face of the Great Sphinx and determining its volume
Mathematics Analysis and Approaches (AA)
IA
6
HL
Pro
How do the shape and dimensions of reflective surfaces inside a kaleidoscope affect the patterns formed and can mathematical modelling be utilised to enhance the visual appeal of these patterns?
Mathematics Analysis and Approaches (AA)
IA
6
SL
Pro
Investigating the Influence of Cochlear Curvature on Low-Frequency Hearing Limits Across Different Species
Mathematics Analysis and Approaches (AA)
IA
6
SL
Pro
How forward head posture angle affect the original height of the Kolej Mara Bantings students which correlate to the length of wingspan
Mathematics Analysis and Approaches (AA)
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6
SL
Pro
Investigating the coastline paradox and fractal dimensions
Mathematics Analysis and Approaches (AA)
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6
SL
Pro
Modeling and Calculating the Surface Area of a Plastic Container
Mathematics Analysis and Approaches (AA)
IA
5
HL
Mathematical Modeling of Rainfall Patterns and Predicting Flood Risk of Kinabatangan River in Sandakan, Sabah
Mathematics Analysis and Approaches (AA)
IA
5
HL
Investigating the Relationship between Age and 100-Meter Sprint Times through Mathematical Modelling and Regression
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
Exploring the volume of glass used to make a perfume bottle, which is a solid of revolution.
Mathematics Analysis and Approaches (AA)
IA
5
HL
Modelling the average annual gross income of Romania and finding the most accurate model.
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
How are Bayes’ theorem and probability trees used to predict the probability of having Cystic Fibrosis, or being a carrier of it, given that a positive test result was obtained?
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
Mathematical Modeling of Cigarette Prices and Smoking-Related Deaths in the UK (2000–2021) with Adaptations for Mexico
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
Optimizing Cylindrical Tank Dimensions to Minimize Leaking
Mathematics Analysis and Approaches (AA)
IA
5
HL
Pro
How can the cross-sectional shape and dimensions of open flow drainage channels be optimized to maximize flow efficiency while minimizing construction and maintenance?
Mathematics Analysis and Approaches (AA)
IA
5
HL
Pro
Analyzing Geometric Efficiency in Perfume Bottle Design: A Comparative Study of Volume and Surface Area
Mathematics Analysis and Approaches (AA)
IA
5
HL
Pro
"How can Voronoi diagrams be applied to determine the regions of influence of cell towers in a neighbourhood of Madrid, and how can the Traveling Salesman Problem (TSP) be used to optimise a maintenance technician’s route by minimising distance, thereby reducing fuel consumption and environmental impacts?
Mathematics Analysis and Approaches (AA)
IA
5
HL
Pro
Comparing income inequality between the Netherlands and the United States in 2021 by modelling their Lorenz Curves and calculating their Gini Coefficients
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
How can mathematical modelling be used to investigate the electrocardiogram (ECG) complex of patients with hypertension?
Mathematics Analysis and Approaches (AA)
IA
5
SL
Pro
The Linear Correlation between Points on the Math Test and Study Time
Mathematics Analysis and Approaches (AA)
IA
4
SL
to find the design that have the least surface area so that I can choose which design that benefits me the most by having fewer amount of paint
Mathematics Analysis and Approaches (AA)
IA
4
HL
Using optimization to determine the optimal position of the NBA 3-point line for balanced scoring
Mathematics Analysis and Approaches (AA)
IA
4
HL
Pro
Calculus: Using optimization to decide whether a start-up jewelry brand should make or buy products to maximize profits
Mathematics Analysis and Approaches (AA)
IA
4
SL
Pro
Exploring the distribution of prime numbers using Dirichlet’s theorem and polar coordinate visualization of arithmetic progressions
Mathematics Analysis and Approaches (AA)
IA
4
HL
Pro
The Mathematics Behind the Security of the RSA Algorithm and the Diffie-Hellman Key Exchange Protocol
Mathematics Analysis and Approaches (AA)
IA
4
HL
Pro
Investigating the Effectiveness of the Expected Goals (xG) Model in Evaluating Harry Kane's Performance in the 2023/2024 UEFA Champions League
Mathematics Analysis and Approaches (AA)
IA
4
SL
Investigating the effect of different activation functions (Sigmoid, Tanh, ReLU) on the process of backpropagation using loss function graphs and convergence analysis.
Mathematics Analysis and Approaches (AA)
IA
5
HL
Modeling free throws of basketball.
Mathematics Analysis and Approaches (AA)
IA
5
SL
The evolution of skyscrapers with respect to outer surface area and the cost of construction.
Mathematics Analysis and Approaches (AA)
IA
6
SL
Pro
To what extent is there a connection between a change in Carbon Dioxide levels in the United States after joining the Paris Agreement in 2016?
Mathematics Analysis and Approaches (AA)
IA
7
SL
Pro
To what extent can integration and differential equations develop an accurate tire degradation model for modern F1 cars, with factors including track temperature, tire compound, and track geometry and elevation?
Mathematics Analysis and Approaches (AA)
IA
5
HL
The relation between music and productivity Finding the correlation between hours spent listening to music and hours spent being productive per day
Mathematics Analysis and Approaches (AA)
IA
3
SL
Investigation into the fractal dimensions through the coastline paradox
Mathematics Analysis and Approaches (AA)
IA
5
SL
Determining the optimal financial instrument and country combination that will maximize returns while taking into account the associated risks.
Mathematics Analysis and Approaches (AA)
IA
6
SL
Pro
How can different hull shapes be optimized to minimize material usage while ensuring sufficient buoyancy for a fishing boat?
Mathematics Analysis and Approaches (AA)
IA
5
HL
Modelling how a cupcake wrapper's changing cross-sectional area to mass ratio impacts its falling time from a fixed height?
Mathematics Analysis and Approaches (AA)
IA
6
HL
Pro
Exploring the maximum number of folds when a rectangular paper is folded in half each time
Mathematics Analysis and Approaches (AA)
IA
7
HL
Pro
Modelling the Width of Instant Ramen Noodles
Mathematics Analysis and Approaches (AA)
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7
SL
Pro
Analysing the Relationship Between Stride Frequency and Speed: Optimising Performance at Different Times of Day
Mathematics Analysis and Approaches (AA)
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6
HL
Pro
How effectively can XG and XGA be used to predict the results of matches in the Premier League?
Mathematics Analysis and Approaches (AA)
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4
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Modelling of a 500ml water bottle to find surface area and optimal shape.
Mathematics Analysis and Approaches (AA)
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5
SL
To what extent does age influence the speed of swimming athletes between the ages of 8 to 18 as measured by performance metrics in 50m freestyle sprints?
Mathematics Analysis and Approaches (AA)
IA
5
SL
An exploration of the Travelling Salesman Problem
Mathematics Analysis and Approaches (AA)
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4
HL
How can the tilt angle of a solar panel be optimised in Kenya for a maximum efficiency during the year?
Mathematics Analysis and Approaches (AA)
IA
5
HL
How to find the optimal mousepad size based on the DPI and sensitivity settings maximizing the comfort and efficiency in the gameplay
Mathematics Analysis and Approaches (AA)
IA
4
SL