Applications & Interpretation SL · Topic 3 · Geometry & Trigonometry

IB Math AI SL Geometry of 3D Shapes Worksheet (questions only)

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

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

29pages
120marks
3difficulty levels
Nosolutions included
T3Geometry & Trigonometry

Download the AI SL Geometry of 3D Shapes worksheet (PDF) ↓   All AI SL worksheets →

What this AI SL 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 AI SL 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 AI 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. For the third band, compare your method with the matching questions in the AI SL question bank; if you want this set marked, send it to Mr Ahmad.

More AI SL worksheets on Geometry & Trigonometry

✓ = solutions included

The same topic for other courses

Questions

Is this AI SL 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?

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 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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