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Worksheet · PDF

Complete Calculus Revision — 200 Questions

AI SL · Topic 5 · AI SL Topic 5

200-question full AI SL calculus revision pack covering SL 5.1–5.8. Progresses from core fluency to linked applications and original IB-style exam preparation. Includes graphs, sign tables, contextual data and solution outlines. GDC permitted throughout. Student questions pages 1–23; answers pages 24–31.

Worksheet · PDF

Kinematics

AA SL · AA HL · Topic 5 · SL 5.9

60-question AA SL/HL 5.9 worksheet with 50 shared questions and 10 final HL-exclusive challenges. Includes polynomial, exponential and trigonometric motion, velocity graphs, total distance, initial conditions, parameters and linked reasoning. Shared questions pages 1–7; HL questions pages 7–8; answers pages 9–11.

Worksheet · PDF

Integration and Substitution

AA SL · AA HL · Topic 5 · SL 5.10

60-question AA SL/HL 5.10 worksheet covering standard indefinite integrals, linear composites and reverse-chain-rule substitution. Includes initial conditions, error correction, graph interpretation, contextual applications, nested substitutions and parameter challenges. Shared questions pages 1–6; HL-only questions pages 7–8; answer key and solution outlines pages 9–11.

Worksheet · PDF

Definite Integrals and Areas

AA SL · AA HL · Topic 5 · SL 5.11

60-question AA SL/HL 5.11 worksheet covering analytical and technological evaluation of definite integrals, areas above and below the x-axis, and areas between curves. Includes 21 shaded graphs, two tables, parameter problems, equal-area conditions and full solution outlines. Shared questions pages 1–10; HL-only questions pages 10–12; answer key pages 13–15.

Worksheet · PDF

Limits, First Principles and Higher Derivatives

AA HL · Topic 5 · AHL 5.12

50-question AA HL AHL 5.12 worksheet with five graphs and worked solutions. First-principles differentiation is restricted to polynomials. Continuity and differentiability are explored informally rather than tested formally in exam-style questions. Student questions pages 1–6; answers pages 7–8.

Worksheet · PDF

Complete Calculus Revision — 200 Questions

AA SL · Topic 5 · AA SL Topic 5

200-question AA SL revision pack covering the entirety of SL 5.1–5.11. Includes 60 short and 60 extended questions, 40 Paper 1-style and 40 calculator-enabled Paper 2-style questions, 37 student visuals, revision map, complete syllabus index and full solution outlines. Overview page 1; student questions pages 2–27; answers pages 28–35.

Worksheet · PDF

Arithmetic Sequences and Series

AI SL · Topic 1 · SL 1.2

50-question AI SL worksheet on arithmetic sequences and series, including nth terms, finite sums, sigma notation, simple-interest applications, contextual modelling, tables and diagrams, with worked answers at the end.

Worksheet · PDF

Arithmetic Sequences and Series

AA SL · AA HL · Topic 1 · SL 1.2

60-question AA SL/HL worksheet on arithmetic sequences and series, including nth terms, finite sums, sigma notation, applications and parameter problems, followed by ten AA HL-exclusive challenges and worked solutions.

Worksheet · PDF

Geometric Sequences and Series

AI SL · Topic 1 · SL 1.3

50-question AI SL worksheet on geometric sequences and finite series, sigma notation, growth and decay, threshold problems and modelling, with diagrams, technology-focused questions and worked solutions.

Worksheet · PDF

Limits and l'Hôpital's Rule

AA HL · Topic 5 · AHL 5.13

50 original AA HL 5.13 questions with three coordinate diagrams, a derivative-value table and solution outlines. Student questions pages 1–8; answers pages 9–13.

Worksheet · PDF

Further Derivatives and Antiderivatives

AA HL · Topic 5 · AHL 5.15

50 original AA HL 5.15 questions with eight student graphs/sets of axes, a solution sign table and completed sketch, and worked answer outlines. Student questions pages 1–9; answers pages 10–13.

Worksheet · PDF

Areas and Volumes of Revolution

AA HL · Topic 5 · AHL 5.17

50 AA HL 5.17 questions with 15 coordinate diagrams, one washer cross-section and worked solution outlines. Student questions pages 1–11; answers pages 12–14.

Worksheet · PDF

Functions, Domain, Range and Inverses

AA SL · AA HL · Topic 2 · AA SL 2.2; AA HL 2.2

60 questions on function notation, domain and range, graphs, mathematical models and inverse representations. Includes 50 shared questions and 10 HL challenges, with marked calculator questions and answers.

Worksheet · PDF

Composite and Inverse Functions

AA SL · AA HL · Topic 2 · AA SL 2.5; AA HL 2.5

60 questions on composition, domain and range, inverse functions and identity functions. Includes 50 shared questions and 10 HL challenges, with diagrams, clearly marked GDC tasks and answers.

Worksheet · PDF

Binomial Series: Fractional and Negative Indices

AA HL · Topic 1 · AHL 1.10

50 questions on fractional and negative binomial expansions, validity restrictions, approximations and coefficient problems. Includes a comparison graph, answers and solution outlines.