Analysis & Approaches HL · Topic 1 · Number & Algebra

IB Math AA HL Proof by Induction and Contradiction Worksheet (questions only)

HL proof: induction for series, divisibility and inequalities, and proof by contradiction including classic results.

25 pages · 120 marks · questions only · free PDF for IB Mathematics: Analysis and Approaches HL students.

25pages
120marks
3difficulty levels
Nosolutions included
T1Number & Algebra

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What this AA HL proof by induction and contradiction worksheet covers

HL proof: induction for series, divisibility and inequalities, and proof by contradiction including classic results. The questions follow the order of the AA HL syllabus for Topic 1 (Number & Algebra) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Structure of an induction proof: base case, assumption, inductive step, conclusion
Induction for sums, divisibility and inequalities
Proof by contradiction (e.g. irrationality of √2)
Choosing the right proof method
Exam tip for this topic. The conclusion sentence of an induction proof is a mark on its own — write it every time.

Preview

How to use it

  1. Do the first band without the AA 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 AA HL question bank; if you want this set marked, send it to Mr Ahmad.

More AA HL worksheets on Number & Algebra

✓ = solutions included

Questions

Is this AA HL proof by induction and contradiction 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: Analysis and Approaches 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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