Cheat sheet

ABO NOCE Cheat Sheet

Quick Facts

Exam
NOCE (ABO Basic)
Credential
ABO Certified Optician
Items
125 delivered, 100 blueprint
Time
2 hours
Pass
Criterion-referenced, cut unpublished
Fee
$225 (NOCOP $250)
Delivery
Prometric or ProProctor
Retake
14 days, three attempts
Renewal
Every 3 years
Blueprint
Feb 2025 handbook

Transposition Steps

Add, flip, rotate ninety

Add cyl to sphereFlip the cylinder signRotate axis 90 degTotal power unchanged

Minus vs Plus Cylinder

Minus cylinder

  • Cylinder written negative
  • Sphere is most plus
  • Lab and optometry standard

Plus cylinder

  • Cylinder written positive
  • Sphere is most minus
  • Common on medical Rx

Same lens, two notations

Anisometropia Picker

  1. Imbalance below thresholdNo prism correction(Recheck symptoms)
  2. Vertical imbalance at nearSlab-off prism(Bicentric grinding)
  3. Choosing the slab lensMost minus or least plus(Adds base up)
  4. Prefers a molded lensReverse slab-off(Base down, more plus)
  5. Wants a simple fixSeparate single vision readers(Set lower OCs)
  6. Small imbalance onlyLower both optical centers(Reduces induced prism)

Prescription Notation

OD
Right eye, oculus dexter
OS
Left eye, oculus sinister
OU
Both eyes together
Sphere
Power in every meridian
Cylinder
Extra power one meridian
Axis
Meridian without cylinder power
Add
Extra plus for near
PD
Pupillary distance in millimeters
Plano
Zero sphere power
DV, NV
Distance vision, near vision
BI, BO
Base in, base out
BU, BD
Base up, base down
Balance lens
Cosmetic match, no correction

Prentice's Rule

Prism equals centimeters times diopters

Decentration in centimetersPower in diopters10 mm equals 1 cm5 mm, 2 D, 1 prism

Vertex Move: Plus vs Minus

Plus lens closer

  • Effective power weakens
  • Order more plus
  • Matters above 4.00 D

Minus lens closer

  • Effective power strengthens
  • Order less minus
  • Matters above 4.00 D

Closer needs more plus

Core Optical Formulas

Prentice's rule
Prism = decentration cm x F
Spherical equivalent
Sphere + half the cylinder
Transposition
Add cyl, flip sign, rotate
Oblique meridian
S + C times sin^2 theta
Nominal lens power
F = F1 + F2
Surface power
(n2 - n1) / radius m
Sagitta
h^2 x F / 2000(n-1)
Vertex compensation
F / (1 - dF)
Minimum blank size
ED + 2 decentration + 2
Decentration per lens
(frame PD - PD) / 2
Frame PD
A + DBL
Near PD
Distance PD minus 3-4 mm
Add power
Near minus distance power
Accommodation needed
1 / working distance meters

Prism Base Direction

Plus toward center, minus toward edge

Plus below OC: base upMinus below OC: base downBase sits at thick edge

Slab-Off vs Reverse Slab

Conventional slab-off

  • Ground bicentrically
  • On more minus lens
  • Adds base up

Reverse slab-off

  • Molded into the blank
  • On more plus lens
  • Adds base down

Opposite lens, same result

Prism and Imbalance

Prism diopter
1 cm shift at 1 m
Plus lens prism
Base toward the optical center
Minus lens prism
Base away from optical center
Below OC, minus
Induces base-down prism
Below OC, plus
Induces base-up prism
Horizontal prism
Same base adds, opposite subtracts
Vertical prism
Opposite bases add, same subtracts
Splitting prism
Half each eye, opposite bases
Vertical imbalance
Vertical prism difference at near
Symptomatic imbalance
Roughly 1.5 prism D difference
Slab-off lens
Most minus or least plus
Slab-off prism
Base up in reading zone
Reverse slab-off
Base down on more plus

Vertex Move Rule

Closer: more plus, less minus

Farther: less plusFarther: more minusCompensate above 4.00 D

Vertex and Effective Power

Vertex distance
Cornea to lens back surface
Typical vertex
About 12 to 14 mm
Compensate above
Powers over 4.00 D
Plus moved closer
Order more plus power
Plus moved farther
Order less plus power
Minus moved closer
Order less minus power
Minus moved farther
Order more minus power
Effective power
Power at the corneal plane
Compensated power
Power ordered for new vertex
Measuring tool
Distometer against closed lid

Phoria vs Tropia

Phoria

  • Latent deviation
  • Fusion keeps it aligned
  • Shown by cover test

Tropia

  • Manifest deviation
  • Visible with both open
  • Constant or intermittent

Hidden versus visible turn

Ocular Anatomy

Cornea
Most of eye's refraction
Aqueous humor
Fluid in anterior chamber
Iris
Controls pupil diameter
Crystalline lens
Changes shape to accommodate
Ciliary body
Accommodation and aqueous production
Vitreous humor
Gel in posterior segment
Retina
Rod and cone layer
Rods
Dim light and periphery
Cones
Color and fine detail
Fovea
Sharpest central vision point
Optic nerve
Carries signal to brain
Optic disc
Blind spot, no receptors
Sclera
Tough white outer coat
Extraocular muscles
Six move each eye

Refraction and Pathology

Myopia
Focus in front of retina
Hyperopia
Focus behind the retina
Astigmatism
Two different focal meridians
Presbyopia
Age-related accommodation loss
Anisometropia
Unequal power between eyes
Aniseikonia
Unequal retinal image size
Amblyopia
Reduced acuity, healthy structure
Glaucoma
Often raised intraocular pressure
Cataract
Clouded crystalline lens
Macular degeneration
Central vision loss
Scotoma
Blind area within field
Aphakia
Crystalline lens absent
Pseudophakia
Intraocular lens implanted
Nystagmus
Involuntary rhythmic eye movement
Strabismus
Misaligned visual axes
Diplopia
Double vision

Accommodation and Acuity

Accommodation
Plus power the eye adds
Amplitude
Maximum accommodation in diopters
Near point
Closest clear focus distance
Far point
Farthest clear focus distance
Range of vision
Near point to far point
Snellen 20/20
Normal distance visual acuity
Snellen 20/40
Reads 40-foot line at 20
Legal blindness
20/200 corrected or 20-degree field
Cover test
Reveals phoria or tropia
Convergence
Eyes turn inward together

Boxing System Letters

A width, B height, DBL bridge

Frame PD = A + DBLED is longest diameterGC is box center

Polycarbonate vs Trivex

Polycarbonate

  • Index 1.586, thinner
  • Abbe 30, more fringe
  • Lower cost

Trivex

  • Index 1.53, thicker
  • Abbe 43-45, clearer
  • Lightest at 1.11

Thinner versus clearer

Lens Material Picker

  1. Child or sports wearPolycarbonate(Impact first)
  2. Job needs Z87 ratingPolycarbonate or Trivex(High impact)
  3. Rimless drill mountTrivex(Resists cracking)
  4. Low Rx, best opticsCR-39(Abbe 58)
  5. Rx above 4.00 D1.60 or 1.67 index(Thinner edges)
  6. Rx above 8.00 D1.74 index(Thinnest option)
  7. Wants lightest lensesTrivex(Gravity 1.11)
  8. Color fringe complaintRaise the Abbe value(Lower index)
  9. Needs top scratch resistanceCrown glass(Heavy and brittle)

Lens Materials

CR-39
Index 1.498, Abbe 58
Crown glass
Index 1.523, Abbe 59
Trivex
Index 1.53, Abbe 43-45
Polycarbonate
Index 1.586, Abbe 30
Mid index 1.60
Abbe near 36 to 42
High index 1.67
Abbe near 32
Ultra high 1.74
Abbe near 32
Lightest material
Trivex, gravity 1.11
Heaviest common
Crown glass, gravity 2.54
Best plastic clarity
CR-39, highest Abbe
Inherent UV block
Polycarbonate and Trivex
Higher index means
Flatter curves, thinner lens
Lower Abbe means
More color fringe peripherally

Minimum Blank Size

ED plus twice decentration plus two

ED from frame shapeDecentration per lens2 mm chipping allowance

Bifocal vs Progressive

Flat-top bifocal

  • Visible segment line
  • Wide stable near
  • No intermediate power

Progressive

  • No visible line
  • Intermediate corridor
  • Soft peripheral blur

Field width versus seamless

Multifocal Picker

  1. Wants no visible lineProgressive(Blended corridor)
  2. Shallow B measurementShort corridor progressive(Check minimum height)
  3. Needs wide near fieldFlat-top 28 bifocal(Stable near)
  4. Needs the widest nearExecutive bifocal(Full width ledge)
  5. Computer plus readingTrifocal or office lens(Intermediate zone)
  6. Progressive nonadaptFlat-top bifocal(Accepts the line)
  7. First presbyopic addProgressive, low add(Easier adaptation)

Lens Designs

Single vision
One power throughout lens
Flat-top 28
Flat segment, 28 mm wide
Round segment
Curved top, older style
Executive
Ledge across full width
Trifocal
Distance, intermediate and near
Progressive
Blended corridor, no line
Short corridor PAL
Fits shallow B measurement
Aspheric
Flatter, thinner, less magnification
Lenticular
Central bowl, thin carrier
Blended bifocal
No line, blurred junction
Freeform
Digitally surfaced point by point
Base curve
Front curve of lens

Coatings and Tints

AR coating
Cuts reflections, raises transmission
Surface reflection
About 4% per uncoated surface
Scratch coat
Hard layer, not scratchproof
Hydrophobic layer
Sheds water and smudges
UV treatment
Blocks up to 400 nm
Photochromic
UV darkens, heat weakens
Windshield problem
Glass blocks activating UV
Polarized
Blocks horizontal reflected glare
Mirror coating
Reflects light off front
Gradient tint
Dark top, clear bottom
Tint density
Percent of light absorbed
UV-A range
315 to 400 nm
UV-B range
280 to 315 nm
HEV blue light
About 380 to 500 nm

Frame and Boxing System

A measurement
Horizontal box lens width
B measurement
Vertical box lens height
DBL
Distance between the lenses
ED
Twice longest geometric center radius
Frame PD
A plus DBL
Geometric center
Center of the box
Datum line
Horizontal midline of box
Temple length
Commonly 135 to 150 mm
Frame marking
52-18-140 is eye-bridge-temple
Eyewire
Rim that holds lens
Zyl
Cellulose acetate, heat adjusted
Monel
Nickel alloy, most common
Titanium
Light, strong, hypoallergenic
Bridge types
Saddle, keyhole, adjustable pads

Lens Clock vs Lensmeter

Lens clock

  • Reads one surface
  • Calibrated at 1.53
  • Needs index correction

Lensmeter

  • Reads back vertex power
  • Any lens material
  • Gives axis and prism

Surface versus total power

Verification Tool Picker

  1. Check sphere and axisLensmeter(Back vertex)
  2. Check add powerLensmeter, lens flipped(Front vertex)
  3. Check base curveLens clock(Correct for index)
  4. Check center thicknessCalipers(At reference point)
  5. Check vertex distanceDistometer(Corneal apex)
  6. Check pupillary distancePupilometer(Corneal reflex)
  7. Check segment heightMillimeter ruler(From lower rim)
  8. Check eyewire lengthCircumference gauge(Groove length)

Instruments and Uses

Lensmeter
Back vertex power and axis
Focimeter
Another name for lensmeter
Lens clock
Surface curve, calibrated 1.53
Distometer
Vertex distance to cornea
Pupilometer
Corneal reflex pupillary distance
Calipers
Lens or frame thickness
Millimeter ruler
PD, seg height, frames
Circumference gauge
Eyewire groove length
Lens marker
Dots optical center, axis
Frame warmer
Softens zyl before bending
Angling pliers
Bend temples and endpieces
Pad pliers
Adjust the nosepad arms
Digital centration system
Photo based fitting measurements

Lensmeter Technique

First step
Focus eyepiece on reticle
Lens position
Back surface against stop
What it reads
Back vertex power
Sphere target
Single lines in focus
Cylinder target
Triple lines in focus
Minus cylinder reading
Most plus sphere first
Axis read
From the drum scale
Add power
Flip lens, read front vertex
Add value
Near minus distance reading
Prism read
Target off the center
Prism beyond range
Add an auxiliary prism
Marking centers
Dot at target center
PAL verification
Use manufacturer circle markings

Seg Height vs Fitting Height

Seg height

  • Rim to segment top
  • Bifocals and trifocals
  • Often at lower lid

Fitting height

  • Rim to pupil center
  • Progressive lenses
  • Design sets the minimum

Segment top versus pupil

Nonadapt Picker

  1. Blur at distanceVerify sphere, cylinder, axis
  2. Blur at near onlyCheck add and seg height
  3. Floor appears to curveCompare base curve, tilt
  4. Eyestrain with doublingCheck PD and prism
  5. Swim in the peripheryCheck PAL fit and tilt
  6. Color fringes off centerCheck Abbe and decentration
  7. Lashes brush the lensesAdd tilt or vertex
  8. Frame keeps sliding downAdjust pads and temple bends

Fitting Measurements

Monocular PD
Bridge center to each pupil
Binocular PD
Pupil to pupil total
Near PD
About 3-4 mm less
Seg height
Lower rim to segment top
Fitting height
Lower rim to pupil center
Bifocal placement
Usually at lower lid margin
Trifocal placement
At the lower pupil margin
Vertex distance
Cornea to lens back
Pantoscopic tilt
Bottom rim closer to face
Martin's rule
1 mm drop per 2 deg
Face form
Front wraps around the face
Measure posture
Natural head and eye position
Adjust frame first
Fit before taking measurements

Adjustment Fixes

Frame sits low
Narrow the nosepads
Frame sits high
Widen the nosepads
Frame slides down
Bend temples behind the ears
Temples pinch head
Increase the temple spread
Bridge pinches nose
Widen the pad angle
Lashes touch lenses
More tilt or vertex
One side high
Change that temple's ear bend
Zyl frames
Heat before bending
Metal frames
Adjust cold with pliers
Fitting triangle
Nose plus two ears
Four-point touch
Front lies flat, aligned
Alignment order
Front, then temples, then pads
After adjusting
Reverify PD and seg height

Nonadapt Complaints

Distance blur
Verify sphere, cylinder, axis
Near blur only
Check add and seg height
Floor seems curved
Base curve or tilt changed
Objects look smaller
More minus power added
Objects look larger
More plus power added
Eyestrain and doubling
Check PD and unwanted prism
Peripheral swim
PAL fit, base curve, tilt
Color fringes
Low Abbe, off-center viewing
Narrow reading area
Corridor or fitting height off
Chin lifted to read
Progressive fitted too low
New frame, same Rx
Check PD, tilt, vertex
Lenses feel heavy
Consider Trivex or higher index
Persistent complaint
Reverify before remaking lenses

Axis Tolerance Ladder

Fourteen, seven, five, three, two

0.25 D cyl: 14 deg0.50 D cyl: 7 deg0.75 D cyl: 5 deg1.50 D cyl: 3 degAbove 1.50 D: 2 deg

Z80.1 vs Z87.1

ANSI Z80.1

  • Dress eyewear accuracy
  • Power, prism, fit tolerances
  • Not impact protection

ANSI Z87.1

  • Occupational eye protection
  • Impact tests and markings
  • Frame and lens rated

Accuracy versus protection

Z80.1 Power Tolerances

Sphere to 6.50 D
Plus or minus 0.13 D
Sphere over 6.50 D
Plus or minus 2 percent
Cylinder to 2.00 D
Plus or minus 0.13 D
Cylinder 2.00 to 4.50
Plus or minus 0.15 D
Cylinder over 4.50 D
Plus or minus 4 percent
Add to 4.00 D
Plus or minus 0.12 D
Add over 4.00 D
Plus or minus 0.18 D
Cylinder under 0.12 D
Axis tolerance not defined
Cylinder to 0.25 D
Axis plus or minus 14 deg
Cylinder to 0.50 D
Axis plus or minus 7 deg
Cylinder to 0.75 D
Axis plus or minus 5 deg
Cylinder to 1.50 D
Axis plus or minus 3 deg
Cylinder over 1.50 D
Axis plus or minus 2 deg
Progressive sphere to 8.00
Plus or minus 0.16 D
Progressive cylinder to 2.00
Plus or minus 0.16 D
Progressive cylinder to 3.50
Plus or minus 0.18 D

Z87 Marking Ladder

Z87 basic, plus is high

Z87-2 marks Rx framesBasic lens 3.0 mmHigh impact 2.0 mm

FDA Ball vs Z87 Ball

FDA 801.410

  • 5/8 inch ball
  • 50 inch drop
  • All dress lenses

Z87.1 basic impact

  • 1 inch ball
  • 50 inch drop
  • Safety eyewear only

Bigger ball means safety

Z80.1 Prism and Fit

Prism reference point
0.33 prism D, or 1.0 mm
Vertical imbalance
0.33 prism D mounted
Vertical over 3.375 D
1.0 mm PRP height difference
Horizontal imbalance
0.67 prism D mounted
Horizontal over 2.75 D
2.5 mm from specified PD
Segment height
Plus or minus 1.0 mm
Segment height pair
Difference within 1.0 mm
Fitting cross height
Plus or minus 1.0 mm
Fitting cross horizontal
Within 1.0 mm monocular PD
Multifocal segment inset
Within 2.5 mm near PD
Segment tilt
Within 2 deg of 180
Base curve, if specified
Plus or minus 0.75 D
Center thickness
Plus or minus 0.3 mm
Localized error exempt
Beyond a 30 mm circle

ANSI Z87.1 Safety

Z87 marking
Basic impact rated
Z87+ marking
High impact rated
Z87-2 frame
Prescription safety frame
Basic lens thickness
3.0 mm minimum
Thickness exception
2.5 mm if +3.00 D
High impact thickness
2.0 mm, no exception
Basic drop ball
1 inch ball, 50 inches
High mass test
500 g pointed, 50 inches
High velocity spectacles
Quarter inch ball, 150 ft/s
Goggle velocity
250 feet per second
Face shield velocity
300 feet per second
Assembly rating
Lowest rated part governs
D3, D4, D5
Splash, dust, fine dust
V marking
Photochromic lens
Usual safety lenses
Polycarbonate and Trivex

FDA and FTC Rules

21 CFR 801.410
Impact resistant eyeglass lenses
FDA drop ball
5/8 inch ball, 50 inches
Ball weight
About 0.56 ounce
Glass Rx lenses
Each lens individually tested
Plastic Rx lenses
Statistical sample per batch
Exempt from testing
Slab-off, lenticular, prism segment
Exempt lenses still
Must be impact resistant
Records kept
Three years, open to FDA
Contact lenses
Not covered by 801.410
Prescriber may override
Written finding and notice
FTC Eyeglass Rule
16 CFR Part 456
Rx release
Immediately after refractive exam
Release conditions
No fee, no purchase required
Digital Rx copy
Needs verifiable affirmative consent
Contact Lens Rule
16 CFR Part 315
Passive verification
Eight business hours to respond

Standard Editions

ABO blueprint source
February 2025 candidate handbook
NOCE blueprint
100 questions, six domains
Z80.1 current
Z80.1-2025 supersedes 2020
Z80.1 change
Tolerance table fully revised
Z87.1 current
ANSI/ISEA Z87.1-2025
OSHA accepts
Z87.1 2010, 2003, 1989
Practice analysis
ABO-NCLE conducted 2019
Exam refresh cycle
About every three years
Tolerance figures listed
Z80.1-2015 quick reference values
Prescribed prism, 2025
New tolerances added

Common Traps

Blueprint count vs delivered items

Blueprint counts 100 questions Form delivers 125 items

Z80.1 vs Z87.1

Z80.1 checks accuracy Z87.1 checks impact

FDA ball vs Z87 ball

FDA drops 5/8 inch Z87 drops 1 inch

Effective vs compensated power

Effective is at cornea Compensated is ordered power

Seg height vs fitting height

Seg height to segment top Fitting height to pupil

Index vs Abbe value

Index sets thickness Abbe sets color fringe

Which lens gets slab-off

Conventional on more minus Reverse on more plus

Lens clock reading

Clock assumes index 1.53 Other materials need correction

Frame PD vs patient PD

Frame PD is A plus DBL Patient PD is anatomic

Prescription release rule

Given free and immediately No purchase can be required

Phoria vs tropia

Phoria is latent Tropia is manifest

Last Minute

  1. 1.Optics 25%, Products 20%, Dispensing 20%
  2. 2.Instruments 15%, Anatomy 10%, Laws 10%
  3. 3.125 items shown, 100 blueprint
  4. 4.2 hours, on-screen calculator allowed
  5. 5.Prentice: prism equals cm times D
  6. 6.Transpose: add, flip, rotate 90
  7. 7.Vertex closer means more plus
  8. 8.Sphere tolerance 0.13 D, then 2%
  9. 9.Add tolerance 0.12 D
  10. 10.Axis tolerance tightens as cylinder grows
  11. 11.Seg and fitting height 1.0 mm
  12. 12.Z87 basic lens 3.0 mm
  13. 13.Z87 high impact 2.0 mm
  14. 14.FDA drop ball 5/8 inch
  15. 15.Poly Abbe 30, CR-39 Abbe 58
  16. 16.Trivex is the lightest material
  17. 17.Slab-off goes on more minus
  18. 18.Frame PD equals A plus DBL
  19. 19.Martin: 1 mm per 2 deg
  20. 20.Eyeglass Rx released free, immediately
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