Applications & Interpretation HL · Topic 4 · Statistics & Probability

IB Math AI HL Markov Chains Worksheet (questions only)

Transition matrices, state diagrams, matrix powers and steady-state vectors for systems that change in steps.

27 pages · 120 marks · questions only · free PDF for IB Mathematics: Applications and Interpretation HL students.

27pages
120marks
3difficulty levels
Nosolutions included
T4Statistics & Probability

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What this AI HL markov chains worksheet covers

Transition matrices, state diagrams, matrix powers and steady-state vectors for systems that change in steps. The questions follow the order of the AI HL syllabus for Topic 4 (Statistics & Probability) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Transition matrices from a state diagram or data
Probabilities after n steps using matrix powers
Steady-state vector from πP = π or eigenvectors
Interpreting long-run proportions in context
Exam tip for this topic. Check that every column (or row, depending on convention) of the transition matrix sums to 1 before any calculation.

Preview

How to use it

  1. Do the first band without the AI HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. For the third band, compare your method with the matching questions in the AI HL question bank; if you want this set marked, send it to Mr Ahmad.

More AI HL worksheets on Statistics & Probability

✓ = solutions included

Questions

Is this AI HL markov chains worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

Which IB course is it for?

IB Mathematics: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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