Analysis & Approaches SL · Topic 1 · Number & Algebra

IB Math AA SL Binomial Theorem Worksheet (with full solutions)

Expanding (a + b)ⁿ, finding specific terms and coefficients, and using Pascal's triangle and nCr.

22 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches SL students.

22pages
120marks
3difficulty levels
Yessolutions included
T1Number & Algebra

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What this AA SL binomial theorem worksheet covers

Expanding (a + b)ⁿ, finding specific terms and coefficients, and using Pascal's triangle and nCr. The questions follow the order of the AA SL 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.

General term of a binomial expansion
Finding the coefficient of a given power of x
Expansions with negative or fractional terms inside the bracket
Approximation using the first few terms
Exam tip for this topic. Write the general term with the index first, then solve for the power you need — never expand everything.

Preview

How to use it

  1. Do the first band without the AA SL 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. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA SL worksheets on Number & Algebra

✓ = solutions included

The same topic for other courses

Questions

Is this AA SL binomial theorem 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?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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