Differential Equations
AA HL · Topic 5 · AHL 5.18
Solve separable, homogeneous and linear first-order equations and approximate solutions with Euler’s method.
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Maclaurin Series
AA HL · Topic 5 · AHL 5.19
Build and manipulate series near x=0 for approximation, limits and differential equations.
Topic 2: Functions — 100-Question Complete Revision
AA HL · Topic 2 · AA HL Topic 2
Complete AA HL Topic 2 revision package covering SL 2.1–2.11 and AHL 2.12–2.16, from fluency to exam-style problem solving.
Implicit Differentiation, Related Rates & Optimisation
AA HL · Topic 5 · AHL 5.14
50 AA HL 5.14 questions with nine student diagrams and a variation table. Includes worked solutions and justification of constrained optima. Student questions pages 1–10; answers pages 11–15.
Advanced Integration
AA HL · Topic 5 · AHL 5.16
50 questions covering substitution, integration by parts, repeated and cyclic integration, and mixed applications. Includes nine coordinate diagrams, method selection and worked solution outlines. Student questions pages 1–9; answers pages 10–13.
Differential Equations
AA HL · Topic 5 · AHL 5.18
50 questions on Euler’s method, separable and logistic equations, homogeneous substitution and integrating factors, with model graphs, Euler tables and worked solutions.
Maclaurin Series
AA HL · Topic 5 · AHL 5.19
50 questions on the five standard Maclaurin expansions, series manipulation, limits and series from differential equations, with comparison graphs, shaded integrals and worked solutions.
Binomial Theorem
AA SL · AA HL · Topic 1 · SL 1.9
Shared AA SL/HL worksheet on finite positive-integer binomial expansions, coefficients and Pascal’s triangle.
Graph Transformations
AA SL · AA HL · Topic 2 · SL 2.11
Latest 29-page, 60-question transformations worksheet: 50 shared SL/HL questions and 10 HL-exclusive challenges, supplied sketching axes, two marked GDC parts and answers.
Discrete Random Variables & Expected Value
AA SL · AA HL · Topic 4 · SL 4.7
Shared AA SL/HL worksheet on discrete probability distributions, expected value and fair games.
Binomial Distribution
AA SL · AA HL · Topic 4 · SL 4.8
Shared AA SL/HL worksheet on recognizing and using binomial models, probabilities, mean and variance.
Introduction to Integration
AA SL · AA HL · Topic 5 · SL 5.5
60-question AA SL/HL worksheet with 50 shared questions and 10 HL-exclusive challenges, 7 graphs, 2 tables and 15 marked GDC tasks. Shared questions pages 1-6; HL-only questions pages 7-8; checked answer key and solution outlines pages 9-11. Revised 27 September 2026.
Differentiation & Optimisation Practice
AA SL · AA HL · Topic 5 · SL 5.6–5.8
Cumulative AA SL/HL calculus practice spanning derivative rules, second derivatives, extrema, concavity and optimisation.
Maxima, Minima, Optimisation & Inflexion
AA SL · AA HL · Topic 5 · SL 5.8
60-question AA SL/HL 5.8 worksheet: 50 shared questions plus 10 final HL-exclusive challenges. Includes derivative tests, concavity, horizontal and non-horizontal inflexion, optimisation models, original diagrams, sketch axes and number-line sign tables. Student questions pages 1-8; answer key and solution outlines pages 9-12.
Introduction to Integration
AI SL · Topic 5 · AI SL 5.5
50-question AI SL worksheet on antiderivatives, boundary conditions, definite integrals and area above the x-axis, with 6 graphs, 4 tables and 19 marked GDC tasks. Student questions pages 1-7; checked answer key and solution outlines pages 8-9. Revised 27 September 2026.
Optimisation
AI SL · Topic 5 · AI SL 5.7
50-question AI SL 5.7 worksheet with labelled geometry diagrams, function graphs, data tables and a derivative sign table. Student questions pages 1-9; answer key and solution outlines pages 10-11. Uses first-derivative signs, graphs and endpoint comparisons; no second-derivative test or kinematics.
Geometric Sequences & Series
AA SL · AA HL · Topic 1 · SL 1.3
Shared AA SL/HL worksheet on SL 1.3 geometric sequences and finite geometric series, including nth terms, common ratio, finite sums, partial sums, threshold problems, growth/decay and applications, with an additional AA HL challenge section.
Infinite Geometric Series
AA SL · AA HL · Topic 1 · SL 1.8
Shared AA SL/HL worksheet on SL 1.8 sum of infinite convergent geometric sequences, explicitly using |r|<1 and building on SL 1.3 finite geometric sequences and series. The exam-style and AA HL-exclusive sections are original sister questions informed by the uploaded AA SL, AA HL and SL 1.8-specific past-paper sets. Includes 50 core questions plus a 10-question AA HL-exclusive challenge section.
Sequences & Series Complete Practice
AA SL · AA HL · Topic 1 · SL 1.2; SL 1.3; SL 1.8
Comprehensive shared AA SL/HL worksheet covering all sequence-and-series content in SL 1.2, SL 1.3 and SL 1.8. Contains 100 shared questions plus 20 AA HL-exclusive challenges. Exam-style questions are original sister questions informed by the uploaded AA SL, AA HL and SL 1.8-specific past-paper sets.
Differentiation: the Power Rule
AI SL · Topic 5 · AI SL 5.3
AI SL power-rule practice with 50 questions, four graphs and answer-key solution outlines. Differentiate sums of integer powers, find gradients, determine coefficients and interpret rates in context. Student pages 1-7; answers 8-10.
Differentiation: the Power Rule
AA SL · AA HL · Topic 5 · SL 5.3
AA SL/HL power-rule worksheet with 50 shared questions and 10 HL-exclusive challenges, five graphs and solution outlines. Shared questions pages 1-7; HL challenge pages 8-9; answers pages 10-13.
Tangents and Normals
AI SL · Topic 5 · AI SL 5.4
AI SL 5.4 worksheet with 50 questions, six mathematical diagrams and worked answer outlines. Includes a tangent crossing a curve, tangent/normal identification, a horizontal tangent and vertical normal, intersecting tangents, a tangential path and an intercept triangle. Student pages 1-7; answers pages 8-11.
Tangents and Normals
AA SL · AA HL · Topic 5 · SL 5.4
AA SL/HL tangents and normals worksheet with 50 shared questions and 10 HL-only challenges, 12 diagrams, six marked GDC tasks and worked solution outlines. Shared questions pages 1-8; HL-only questions pages 9-10; answers pages 11-13.
Stationary Points
AI SL · Topic 5 · AI SL 5.6
50-question AI SL worksheet with 6 graphs, 4 data tables and 3 sign tables. Student questions pages 1-7; answer key and solution outlines pages 8-9. Focuses on first-derivative signs, technology and local versus domain-wide extrema; no second-derivative test required.