ABO Test Prep
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How the optical math drills work

Basic plan

Calc Drills cover the optical math on the ABO exam. Pick a drill and work through 10 problems. The numbers are typed, not picked from a list, and each answer is checked against the same formulas the site’s free optical calculators use. Every problem gets fresh numbers, so you can repeat a drill without memorizing the answers. After each check you see the right answer and the working, step by step.

There are 4 drills:

  • Transpose It. Convert prescriptions between plus- and minus-cylinder form. You enter the new sphere, new cylinder and new axis.
  • Prentice Drill. Induced prism from decentration — magnitude and base. You enter the prism (±0.25 Δ) and base direction (BI, BO, BU or BD).
  • Vertex Drill. Compensate lens power for a change in vertex distance. You enter the compensated power (±0.12 D).
  • Decentration Drill. Per-lens decentration and minimum blank size from frame specs. You enter the decentration per lens (±0.1 mm) and minimum blank size (±0.5 mm).

A ± figure is how far a typed answer can be off and still count. Other answers must match exactly, though an axis of 0 counts the same as 180. Your best score out of 10 on each drill is saved in this browser. Calc Drills come with every paid plan, starting with Basic.

Worked example · Prentice Drill

A lens -8.00 DS is decentered 3 mm down. How much prism is induced, and which base?

Prism: 2.4 Δ · Base direction: BU

Prentice's Rule: Δ = cm × D. Power in the 90° meridian is -8.00 D, so 0.30 cm × 8.00 D = 2.40Δ. Minus lens: base goes against the decentration → BU.