Analysis & Approaches HL · Topic 1 · Number & Algebra

IB Math AA HL Partial Fractions, Indices and Standard Form Worksheet (with full solutions)

HL number and algebra foundations: partial fractions with distinct linear factors, index laws and standard form.

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

24pages
120marks
3difficulty levels
Yessolutions included
T1Number & Algebra

Download the AA HL Partial Fractions, Indices and Standard Form worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL partial fractions, indices and standard form worksheet covers

HL number and algebra foundations: partial fractions with distinct linear factors, index laws and standard form. 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.

Partial fractions with distinct linear factors
Laws of indices with negative and fractional exponents
Standard form calculations
Simplifying surds and rationalising denominators
Exam tip for this topic. Check a partial-fraction decomposition by substituting one value of x into both sides.

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. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Number & Algebra

✓ = solutions included

Questions

Is this AA HL partial fractions, indices and standard form 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 HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

Stuck on a question from this sheet?

Mr Ahmad tutors IB Mathematics: Analysis and Approaches HL students in Dubai and online — topic drills like this one, past-paper technique and IA support.

Book a 50% Off Trial Lesson →
Mr. Ahmad · IB Maths TutorAsk me anything about lessons