Complete CoveragePast Paper Based

IB DP Math AA HL Exam Prep

84 exam-style worksheets covering every single topic in the IB DP Mathematics Analysis and Approaches Higher Level syllabus. Built from real IB past papers. Complete markschemes included.

84

Worksheets

5

Topics Covered

3

Mock Exams

4

P3 Investigations

Browse All AA HL Worksheets
Full markschemes for every question
Modelled on real IB past papers
Created by a 7/7 IB Math HL scorer
Instant PDF download

Why students choose our AA HL worksheets

We analyzed all past paper sets to build the most targeted exam prep available.

Built from Real Exams

Every question is modelled on actual IB past paper questions from 2020-2025. We know exactly what the examiners test.

Difficulty That Scales

Easy, Medium, Hard, and Super Hard levels. Start where you are and build up to the hardest exam questions.

Full Markschemes

Not just answers — complete worked solutions with mark allocation matching IB examiner expectations.

Complete topic-by-topic coverage

Every single AA HL syllabus topic is covered. Nothing left out.

1

Topic 1: Number & Algebra

22 worksheets
  • Complex numbers & de Moivre's theorem
  • Proof by mathematical induction
  • Sequences, series & convergence
  • Binomial theorem & counting
  • Partial fractions

Exam insight: Proof by induction appears on EVERY Paper 1. Complex numbers worth 5-17 marks.

2

Topic 2: Functions

8 worksheets
  • Domain, range, inverse & composite
  • Graph transformations
  • Polynomial & rational functions
  • Asymptotes & curve sketching

Exam insight: Functions extended questions worth 15-20 marks in Paper 1 Section B.

3

Topic 3: Geometry & Trigonometry

12 worksheets
  • Vectors, lines & planes in 3D
  • Double & compound angle formulae
  • Trigonometric identities & proofs
  • Coordinate geometry & conics

Exam insight: Vectors & planes questions appear in almost every exam session. 10-15 marks typical.

4

Topic 4: Statistics & Probability

13 worksheets
  • Normal distribution & inverse normal
  • Hypothesis testing & chi-squared
  • Bayes' theorem
  • Continuous random variables & PDF

Exam insight: Normal distribution is a guaranteed Paper 2 Section B question. 16 marks typical.

5

Topic 5: Calculus

22 worksheets
  • Integration by parts & substitution
  • Differential equations
  • Maclaurin series & Taylor polynomials
  • L'Hôpital's rule & limits
  • Euler's method & slope fields
  • Areas, volumes & kinematics

Exam insight: Integration by parts appears in EVERY exam. Maclaurin series is a high-frequency HL topic.

Mock Exams & Paper 3 Investigations

7 worksheets
  • Full Paper 1 mock (2 hours, 110 marks)
  • Full Paper 2 mock (2 hours, GDC allowed)
  • Paper 3 mock investigation (1 hour)
  • 4 extra Paper 3 practice investigations

Pro tip: Do full mock papers under timed exam conditions 2-3 weeks before your exam for maximum impact.

Choose your pack

Buy individual topics or get the complete pack for the biggest savings. Individual worksheets also available at $2.50 USD (HK$20) each.

Topic 1: Number & Algebra

Sequences, complex numbers, proof by induction, binomial theorem & more

$19.99USD

HK$156

22 worksheets · Save 64%

Topic 2: Functions

Domain/range, transformations, polynomial & rational functions

$14.99USD

HK$117

8 worksheets · Save 25%

Topic 3: Geometry & Trig

Vectors, planes, trig identities, compound angles & coordinate geometry

$19.99USD

HK$156

12 worksheets · Save 33%

Topic 4: Stats & Probability

Normal distribution, hypothesis testing, Bayes' theorem, chi-squared

$19.99USD

HK$156

13 worksheets · Save 39%

Topic 5: Calculus

Integration by parts, differential equations, Maclaurin series & more

$19.99USD

HK$156

22 worksheets · Save 64%

Exam Prep

Mock Exams + Investigations

3 full mock papers (P1, P2, P3) + 4 Paper 3 investigation-style problems

$14.99USD

HK$117

7 worksheets · Save 14%

Best Value

AA HL Complete Pack

Every single AA HL worksheet — all 5 topics, mock exams & investigations. The ultimate exam prep.

$59.99USD

HK$468

84 worksheets · Save 71%

Also studying MYP?

Browse AA HL Worksheets

Click any worksheet to add it to your cart. Every worksheet includes a markscheme.

Showing 84 of 84 worksheets

AA HL·Medium·Paper 1

Arithmetic sequences and applications

Sequences & Series

10 questionsAnswer key
AA HL·Medium·Paper 1

Geometric sequences and convergence

Sequences & Series

10 questionsAnswer key
AA HL·Easy·Paper 1

Sequences and series — mixed problems

Sequences & Series

12 questionsAnswer key
AA HL·Hard·Paper 2

Sequences and series — exam-level

Sequences & Series

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Sequences, binomial & counting — combined

Sequences & Series

6 questionsAnswer key
AA HL·Easy·Paper 1

Exponent laws and logarithmic equations

Exponents & Logarithms

12 questionsAnswer key
AA HL·Medium·Paper 1

Exponential and logarithmic equations

Exponents & Logarithms

10 questionsAnswer key
AA HL·Hard·Paper 2

Exponents and logarithms — exam-level

Exponents & Logarithms

8 questionsAnswer key
AA HL·Easy·Paper 1

Binomial expansion and counting

Binomial Theorem

12 questionsAnswer key
AA HL·Hard·Paper 1

Binomial theorem — exam-level

Binomial Theorem

8 questionsAnswer key
AA HL·Medium·Paper 1

Permutations, combinations and counting

Counting & Combinations

10 questionsAnswer key
AA HL·Hard·Paper 1

Counting principles — exam-level

Counting & Combinations

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Exponents, binomial & counting — combined

Counting & Combinations

6 questionsAnswer key
AA HL·Easy·Paper 1

Complex numbers — introduction

Complex Numbers

12 questionsAnswer key
AA HL·Medium·Paper 1

Complex numbers — operations and polar form

Complex Numbers

10 questionsAnswer key
AA HL·Hard·Paper 1

Complex numbers — de Moivre and roots

Complex Numbers

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Complex numbers — exam-level

Complex Numbers

6 questionsAnswer key
AA HL·Medium·Paper 1

Mathematical induction — standard problems

Proof by Induction

8 questionsAnswer key
AA HL·Hard·Paper 1

Proof by induction — exam-level

Proof by Induction

7 questionsAnswer key
AA HL·Super Hard·Paper 1

Proof by induction — challenging

Proof by Induction

5 questionsAnswer key
AA HL·Hard·Paper 1

Partial fractions decomposition

Partial Fractions

8 questionsAnswer key
AA HL·Hard·Paper 2

Systems of linear equations (3×3)

Systems of Equations

8 questionsAnswer key
AA HL·Easy·Paper 1

Domain, range, inverse and composite

Functions Fundamentals

12 questionsAnswer key
AA HL·Medium·Paper 2

Quadratic functions and applications

Quadratic Functions

10 questionsAnswer key
AA HL·Easy·Paper 2

Exponential and logarithmic functions

Exponential & Log Functions

12 questionsAnswer key
AA HL·Hard·Paper 1

Transformations of graphs

Graph Transformations

8 questionsAnswer key
AA HL·Hard·Paper 1

Polynomial and rational functions

Polynomial & Rational Functions

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Polynomial and rational — exam-level

Polynomial & Rational Functions

6 questionsAnswer key
AA HL·Hard·Paper 1

Functions — advanced exam-level

Functions Extended

7 questionsAnswer key
AA HL·Super Hard·Paper 1

Functions — IB Paper 1 Section B

Functions Extended

5 questionsAnswer key
AA HL·Easy·Paper 1

Trigonometric ratios and unit circle

Trigonometric Basics

12 questionsAnswer key
AA HL·Medium·Paper 2

Sine rule, cosine rule and area

Sine & Cosine Rule

10 questionsAnswer key
AA HL·Medium·Paper 1

Trigonometric identities and equations

Trigonometric Identities

10 questionsAnswer key
AA HL·Medium·Paper 2

Trigonometric functions and modelling

Trig Functions & Modelling

10 questionsAnswer key
AA HL·Hard·Paper 1

Double and compound angle formulae

Compound & Double Angles

8 questionsAnswer key
AA HL·Hard·Paper 1

Trigonometric equations — exam-level

Trigonometric Equations

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Trigonometry — IB Paper 1 challenging

Trigonometry Combined

5 questionsAnswer key
AA HL·Easy·Paper 1

Vectors — lines and scalar product

Vectors

12 questionsAnswer key
AA HL·Medium·Paper 1

Vectors and planes — equations and intersections

Vectors & Planes

10 questionsAnswer key
AA HL·Hard·Paper 1

Vectors and planes — exam-level

Vectors & Planes

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Vectors, planes and lines — challenging

Vectors & Planes

5 questionsAnswer key
AA HL·Hard·Paper 2

Coordinate geometry — conic sections

Coordinate Geometry

8 questionsAnswer key
AA HL·Medium·Paper 2

Descriptive statistics and representations

Descriptive Statistics

10 questionsAnswer key
AA HL·Easy·Paper 2

Probability — counting and conditional

Probability Fundamentals

12 questionsAnswer key
AA HL·Medium·Paper 2

Conditional probability and Bayes

Conditional Probability

10 questionsAnswer key
AA HL·Hard·Paper 2

Bayes' theorem — exam-level

Bayes' Theorem

8 questionsAnswer key
AA HL·Hard·Paper 2

Binomial distribution

Binomial Distribution

8 questionsAnswer key
AA HL·Easy·Paper 2

Normal distribution — introduction

Normal Distribution

10 questionsAnswer key
AA HL·Hard·Paper 2

Normal distribution — exam-level

Normal Distribution

8 questionsAnswer key
AA HL·Super Hard·Paper 2

Normal distribution — challenging

Normal Distribution

5 questionsAnswer key
AA HL·Hard·Paper 2

Continuous random variables and PDF

Continuous RV

8 questionsAnswer key
AA HL·Medium·Paper 2

Regression and correlation

Regression & Correlation

10 questionsAnswer key
AA HL·Hard·Paper 2

Hypothesis testing

Hypothesis Testing

7 questionsAnswer key
AA HL·Hard·Paper 2

Chi-squared test — GOF and independence

Chi-Squared Tests

8 questionsAnswer key
AA HL·Super Hard·Paper 2

Probability — super challenging

Probability Combined

5 questionsAnswer key
AA HL·Easy·Paper 1

Differentiation — first principles and rules

Differentiation Basics

12 questionsAnswer key
AA HL·Medium·Paper 1

Differentiation techniques — advanced

Differentiation Techniques

10 questionsAnswer key
AA HL·Hard·Paper 1

Differentiation — exam-level techniques

Differentiation Techniques

8 questionsAnswer key
AA HL·Easy·Paper 2

Applications — tangents, normals, rates

Applications of Differentiation

12 questionsAnswer key
AA HL·Medium·Paper 2

Optimization and curve sketching

Optimization

10 questionsAnswer key
AA HL·Super Hard·Paper 2

Optimization — challenging problems

Optimization

5 questionsAnswer key
AA HL·Easy·Paper 1

Integration — antiderivatives and basic techniques

Integration Basics

12 questionsAnswer key
AA HL·Medium·Paper 1

Integration by substitution

Integration by Substitution

10 questionsAnswer key
AA HL·Hard·Paper 1

Integration by substitution — exam-level

Integration by Substitution

8 questionsAnswer key
AA HL·Medium·Paper 1

Integration by parts — standard problems

Integration by Parts

10 questionsAnswer key
AA HL·Hard·Paper 1

Integration by parts — exam-level

Integration by Parts

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Integration by parts — challenging

Integration by Parts

5 questionsAnswer key
AA HL·Hard·Paper 2

Areas and volumes of revolution

Areas & Volumes

8 questionsAnswer key
AA HL·Super Hard·Paper 2

Areas and volumes — challenging

Areas & Volumes

5 questionsAnswer key
AA HL·Hard·Paper 2

Kinematics — displacement, velocity, acceleration

Kinematics

8 questionsAnswer key
AA HL·Hard·Paper 1

L'Hôpital's rule and improper integrals

L'Hôpital's Rule & Limits

7 questionsAnswer key
AA HL·Hard·Paper 1

Differential equations — separable and first order

Differential Equations

8 questionsAnswer key
AA HL·Super Hard·Paper 1

Differential equations — exam-level

Differential Equations

5 questionsAnswer key
AA HL·Hard·Paper 2

Euler's method — numerical solutions

Euler's Method

7 questionsAnswer key
AA HL·Medium·Paper 1

Slope fields and phase portraits

Slope Fields

8 questionsAnswer key
AA HL·Hard·Paper 1

Maclaurin series — standard expansions

Maclaurin Series

7 questionsAnswer key
AA HL·Super Hard·Paper 1

Maclaurin series — challenging

Maclaurin Series

5 questionsAnswer key
AA HL·Hard·Mock Exam

Mock Exam — Paper 1 (Section A & B)

Mock Exam

12 questionsAnswer key
AA HL·Hard·Mock Exam

Mock Exam — Paper 2 (Section A & B)

Mock Exam

12 questionsAnswer key
AA HL·Hard·Mock Exam

Mock Exam — Paper 3 (Investigation)

Mock Exam

4 questionsAnswer key
AA HL·Hard·Paper 3

Calculus and functions investigation

Investigation

3 questionsAnswer key
AA HL·Hard·Paper 3

Geometry and calculus investigation

Investigation

3 questionsAnswer key
AA HL·Hard·Paper 3

Mixed topics investigation

Investigation

3 questionsAnswer key
AA HL·Hard·Paper 3

Probability and algebra investigation

Investigation

3 questionsAnswer key

Made by someone who's been where you are

I scored 7/7 in IB DP Higher Level Mathematics, graduated from Renaissance College Hong Kong, and went on to earn a Master's in Data Science from HKU. I've spent 5+ years tutoring IB DP, MYP, and IGCSE students — and I built these worksheets to give you the exact practice I wish I'd had.

7/7 IB Math HLMSc Data Science, HKUBSc Decision Analytics, HKU5+ Years TutoringHSBC GBA Scholarship
Read more about the founder

Don't leave marks on the table

The difference between a 6 and a 7 is preparation. 84 exam-style worksheets, every topic covered, real IB past paper style. Your exams are coming — start practising now.

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