Prepare for your IB Mathematics: Applications and Interpretation Higher
Level exam with this professionally designed mock exam pack from SAMZHUB.
This product includes:
✅ Paper 1 (Calculator Allowed) — 110 marks | 2 hours
✅ Paper 1 Full Markscheme — with M, A, and R marks clearly indicated
✅ Paper 2 (Calculator Allowed) — 110 marks | 2 hours
✅ Paper 2 Full Markscheme — with M, A, and R marks clearly indicated
✅ Paper 3 (Calculator Allowed) — 55 marks | 1 hour
✅ Paper 3 Full Markscheme — with M, A, and R marks clearly indicated
Total: 275 marks of original exam practice across all three papers.
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WHAT MAKES THIS MOCK EXAM DIFFERENT?
• Written to match the difficulty and style of recent IB AI HL exams
• Strong focus on real-world applications and mathematical modeling
• Covers all AI HL-specific topics including graph theory, Markov chains,
Voronoi diagrams, and coupled differential equations
• Paper 3 is a scaffolded statistical investigation using real-world data
• Markschemes follow official IB format with method marks,
answer marks, and reasoning marks
• Heavy emphasis on interpretation and contextual understanding
• GDC instructions included throughout (e.g., normalcdf, binompdf,
matrix operations, regression functions)
• Professionally typeset in LaTeX — clean, clear, exam-ready
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TOPICS COVERED
Paper 1 (Calculator Allowed — Short and Extended Response):
• Financial mathematics (compound interest)
• Descriptive statistics (mean, median, SD, IQR)
• Probability without replacement
• Graph theory (Dijkstra’s algorithm)
• Linear regression and correlation
• Matrices and systems of equations
• Binomial distribution
• Chi-squared goodness of fit test
• Calculus optimization
• Normal distribution and z-test hypothesis testing (extended)
• Voronoi diagrams and Prim’s algorithm (extended)
• Differential equations and Euler’s method (extended)
Paper 2 (Calculator Allowed — Extended Response):
• Regression analysis with multiple models (linear, logarithmic)
• Coefficient of determination (R²) and model comparison
• Chi-squared test for independence
• One-sample t-test
• Markov chains and transition matrices
• Steady-state distributions
• Graph theory (Eulerian paths, Dijkstra, Kruskal)
• Calculus modeling with differential equations
• Slope fields and equilibrium solutions
• Coupled differential equations (predator-prey model)
• Phase portraits
Paper 3 (Calculator Allowed — Investigation):
• Full statistical investigation: “Investigating Factors Affecting
House Prices”
• Part A: Simple linear regression (scatter diagram, correlation,
regression line, residuals, R²)
• Part B: Multiple regression analysis (interpreting coefficients,
predictions, comparing models)
• Part C: Spearman’s rank correlation (non-parametric test)
• Part D: Chi-squared test for independence (expected frequencies,
validity discussion)
• Part E: Reflection, limitations, bias, sample size effects
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WHO IS THIS FOR?
• IB AI HL students preparing for their final exams
• Students who want Paper 3 statistical investigation practice
• Teachers looking for high-quality AI HL assessment material
• IB tutors who need original mock exams for AI HL students
• Students targeting Grade 6 or 7 in AI HL
• Students who struggle with GDC-dependent questions and need practice
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WHY AI HL PAPER 3 PRACTICE IS ESSENTIAL
Paper 3 for AI HL is a scaffolded investigation that requires students
to combine multiple statistical techniques in one real-world scenario.
Many students lose marks because they:
• Cannot interpret regression coefficients in context
• Forget to check validity conditions for chi-squared tests
• Struggle to discuss limitations and sources of bias
• Don’t know how to compare models using R²
This mock Paper 3 is designed to give you realistic practice in all
of these areas. The markscheme includes detailed reasoning marks (R marks)
showing exactly what examiners are looking for.
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FORMAT
• Digital download — PDF format
• 6 files delivered as a single ZIP
• Instant delivery after purchase
• No physical product will be shipped
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This work is an independent publication and has not been authorized,
sponsored, or otherwise approved by the International Baccalaureate
Organization (IBO).