Analysis & Approaches HL · Topic 3 · Geometry & Trigonometry

IB Math AA HL Geometry of 3D Shapes Worksheet (with full solutions)

Surface area and volume of 3D solids, angles between lines and planes, and distances inside solids.

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

23pages
120marks
3difficulty levels
Yessolutions included
T3Geometry & Trigonometry

Download the AA HL Geometry of 3D Shapes worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL geometry of 3d shapes worksheet covers

Surface area and volume of 3D solids, angles between lines and planes, and distances inside solids. The questions follow the order of the AA HL syllabus for Topic 3 (Geometry & Trigonometry) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Volume and surface area of prisms, pyramids, cones and spheres
Diagonals of cuboids and pyramids
Angle between a line and a plane, and between two planes
Composite and truncated solids
Exam tip for this topic. Identify the right-angled triangle that contains the required angle and redraw it in 2D before calculating.

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 Geometry & Trigonometry

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL geometry of 3d shapes 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.

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