Home / Yu-Gi-Oh card prices / Ancient Prophecy
ANPR Ancient Prophecy card list and prices
Ancient Prophecy (ANPR) is a Yu-Gi-Oh! Trading Card Game set released on Sep 01, 2009. This is its card list with today's prices: 221 cards and versions. The most valuable is Ancient Fairy Dragon (Ghost Rare) ANPR-EN040 at about $430 ungraded, and the highest PSA 10 value is Blackwing - Vayu the Emblem of Honor (UTR) ANPR-EN005 at about $6,997. Prices updated November 8, 2026.
| Card | Raw | PSA 9 | PSA 10 |
|---|---|---|---|
 Ancient Fairy Dragon (Ghost Rare) ANPR-EN0401st Edition | $430 | $908 | $5,901 |
 Blackwing - Vayu the Emblem of Honor (UTR) ANPR-EN0051st Edition | $375 | $705 | $6,997 |
 Elemental Hero Gaia ANPR-EN0991st Edition | $300 | $275 | $976 |
 Ancient Fairy Dragon (UTR) ANPR-EN0401st Edition | $152 | $375 | $3,070 |
 Earthbound Immortal Chacu Challhua (UTR) ANPR-EN0171st Edition | $150 | $314 | $2,296 |
| Blackwing - Vayu the Emblem of Honor (UTR) ANPR-EN005Unlimited | $135 | $242 | $558 |
| Ancient Fairy Dragon (Ghost Rare) ANPR-EN040Unlimited | $93.06 | $213 | $779 |
 Ancient Sacred Wyvern (UTR) ANPR-EN0431st Edition | $92.47 | — | — |
| Elemental Hero Gaia ANPR-EN099Unlimited | $92.18 | $190 | $1,865 |
 Armityle the Chaos Phantom ANPR-EN0911st Edition | $85.22 | $127 | — |
| Ancient Sacred Wyvern (UTR) ANPR-EN043Unlimited | $75.45 | $86.00 | $103 |
 Earthbound Immortal Cusillu (UTR) ANPR-EN0161st Edition | $69.98 | $124 | $1,088 |
| Ancient Fairy Dragon (UTR) ANPR-EN040Unlimited | $62.25 | $272 | $450 |
 Blackwing - Vayu the Emblem of Honor ANPR-EN0051st Edition | $56.42 | — | — |
 White Night Dragon ANPR-EN0921st Edition | $47.33 | $214 | $494 |
 Koa'ki Meiru Gravirose (UTR) ANPR-EN0831st Edition | $43.49 | — | — |
 Card Guard ANPR-EN0851st Edition | $39.99 | $43.75 | $290 |
 XX-Saber Gottoms (UTR) ANPR-EN044Unlimited | $38.44 | $100 | $969 |
 Gaia Plate the Earth Giant (UTR) ANPR-EN0941st Edition | $38.05 | $99.99 | $714 |
 XX-Saber Gardestrike ANPR-EN000Unlimited | $31.86 | — | — |
 Ancient Sacred Wyvern ANPR-EN0431st Edition | $31.00 | $72.00 | $114 |
 Ancient Fairy Dragon ANPR-EN0401st Edition | $30.52 | $46.89 | $269 |
| Blackwing - Vayu the Emblem of Honor ANPR-EN005Unlimited | $30.27 | — | — |
| Armityle the Chaos Phantom ANPR-EN091Unlimited | $28.81 | — | — |
| Earthbound Immortal Cusillu (UTR) ANPR-EN016Unlimited | $28.32 | $66.00 | $247 |
 Koa'ki Meiru Gravirose ANPR-EN0831st Edition | $27.98 | $98.51 | $515 |
 XX-Saber Faultroll ANPR-EN0351st Edition | $25.61 | $60.00 | $542 |
 Ancient Forest ANPR-EN0481st Edition | $22.98 | $53.00 | $414 |
| Koa'ki Meiru Gravirose (UTR) ANPR-EN083Unlimited | $20.17 | $49.99 | $150 |
| White Night Dragon ANPR-EN092Unlimited | $19.61 | $74.74 | $113 |
 Beast Machine King Barbaros Ur ANPR-EN0971st Edition | $18.98 | — | — |
 Discord ANPR-EN0681st Edition | $18.67 | $26.00 | $260 |
| Earthbound Immortal Chacu Challhua (UTR) ANPR-EN017Unlimited | $18.30 | $45.47 | $372 |
| Ancient Sacred Wyvern ANPR-EN043Unlimited | $17.90 | $79.47 | $421 |
 Token: Ghost ANPR-ENTK1Unlimited | $15.99 | — | — |
| Gaia Plate the Earth Giant (UTR) ANPR-EN094Unlimited | $15.48 | $66.00 | $489 |
 Kasha ANPR-EN0981st Edition | $15.12 | $35.92 | — |
| XX-Saber Gardestrike ANPR-EN0001st Edition | $14.97 | $78.58 | $417 |
| Ancient Forest ANPR-EN048Unlimited | $14.40 | $64.56 | $348 |
| XX-Saber Faultroll ANPR-EN035Unlimited | $14.08 | $67.59 | $363 |
 Card Blocker ANPR-EN0931st Edition | $13.16 | $55.00 | $195 |
| Discord ANPR-EN068Unlimited | $12.81 | $63.72 | $344 |
| Koa'ki Meiru Gravirose ANPR-EN083Unlimited | $12.64 | $87.37 | $460 |
 Saber Slash ANPR-EN0581st Edition | $12.23 | $36.58 | $44.00 |
 Skill Successor ANPR-EN0631st Edition | $11.74 | $31.41 | $185 |
| Beast Machine King Barbaros Ur ANPR-EN097Unlimited | $11.29 | — | — |
 XX-Saber Gottoms ANPR-EN0441st Edition | $10.84 | $45.00 | $49.50 |
 Future Visions ANPR-EN0511st Edition | $10.35 | $34.59 | $42.00 |
 Koa'ki Meiru Crusader ANPR-EN0191st Edition | $9.47 | $41.95 | $50.00 |
 Gaia Plate the Earth Giant ANPR-EN0941st Edition | $9.06 | — | — |
 Solidarity ANPR-EN0541st Edition | $7.76 | $42.10 | $237 |
 Greed Grado ANPR-EN088Unlimited | $7.28 | $36.38 | $209 |
 Earthbound Immortal Chacu Challhua ANPR-EN0171st Edition | $6.59 | $50.20 | $277 |
| Koa'ki Meiru Crusader ANPR-EN019Unlimited | $6.23 | $32.55 | $190 |
 Earthbound Immortal Cusillu ANPR-EN0161st Edition | $6.02 | $42.54 | $239 |
 Jester Confit ANPR-EN0091st Edition | $5.99 | $21.43 | $164 |
 XX-Saber Gardestrike ANPR-ENSP1Limited | $5.85 | — | — |
| XX-Saber Gottoms ANPR-EN044Unlimited | $5.76 | $49.94 | $170 |
| Ancient Fairy Dragon ANPR-EN040Unlimited | $5.75 | — | — |
 Flamvell Commando (UTR) ANPR-EN0861st Edition | $5.01 | $59.50 | $179 |
| Future Visions ANPR-EN051Unlimited | $4.95 | $23.86 | $147 |
| Saber Slash ANPR-EN058Unlimited | $4.61 | $22.61 | $141 |
 Archfiend Zombie-Skull ANPR-EN0421st Edition | $4.57 | $32.00 | $171 |
| Solidarity ANPR-EN054Unlimited | $4.52 | $22.22 | $139 |
| Skill Successor ANPR-EN063Unlimited | $4.28 | $20.77 | $132 |
| Kasha ANPR-EN098Unlimited | $4.17 | $26.44 | $160 |
| Gaia Plate the Earth Giant ANPR-EN094Unlimited | $4.12 | — | — |
| Card Guard ANPR-EN085Unlimited | $3.82 | $19.83 | $128 |
| Jester Confit ANPR-EN009Unlimited | $3.57 | $19.38 | $24.96 |
 Turbo Cannon ANPR-EN0411st Edition | $3.46 | — | — |
 Koa'ki Meiru Ghoulungulate (UTR) ANPR-EN082Unlimited | $3.22 | $17.64 | $117 |
| Earthbound Immortal Chacu Challhua ANPR-EN017Unlimited | $2.76 | — | — |
| Flamvell Commando (UTR) ANPR-EN086Unlimited | $2.36 | $26.44 | $160 |
 Core Compression ANPR-EN0521st Edition | $2.13 | $9.89 | $78.68 |
 Ancient Leaf ANPR-EN0611st Edition | $1.90 | $9.00 | $62.03 |
 Flamvell Firedog ANPR-EN0371st Edition | $1.86 | $9.89 | $78.68 |
| Turbo Cannon ANPR-EN041Unlimited | $1.84 | $11.53 | $86.78 |
| Card Blocker ANPR-EN093Unlimited | $1.66 | $16.81 | $73.83 |
 Turbo Rocket ANPR-EN0151st Edition | $1.61 | $9.00 | $66.00 |
| Earthbound Immortal Cusillu ANPR-EN016Unlimited | $1.59 | — | — |
 Fishborg Blaster ANPR-EN027Unlimited | $1.55 | $9.00 | $62.32 |
| Fishborg Blaster ANPR-EN0271st Edition | $1.53 | $10.54 | $81.83 |
 Shiny Black "C" ANPR-EN0241st Edition | $1.49 | — | — |
 Reinforce Truth ANPR-EN0641st Edition | $1.33 | $9.00 | $63.76 |
 Rekindling ANPR-EN0601st Edition | $1.24 | — | — |
 Kuribon ANPR-EN001Unlimited | $0.98 | $10.00 | $71.36 |
| Archfiend Zombie-Skull ANPR-EN042Unlimited | $0.98 | $12.57 | $91.92 |
 Darksea Rescue ANPR-EN0131st Edition | $0.96 | — | — |
| Core Compression ANPR-EN052Unlimited | $0.87 | $8.00 | $58.32 |
| Reinforce Truth ANPR-EN064Unlimited | $0.82 | $8.00 | $59.82 |
 Flamvell Commando ANPR-EN0861st Edition | $0.82 | — | — |
| Kuribon ANPR-EN0011st Edition | $0.80 | $8.00 | $57.59 |
 Arcana Knight Joker ANPR-EN0901st Edition | $0.80 | — | — |
| Turbo Rocket ANPR-EN015Unlimited | $0.79 | $8.00 | $51.74 |
 Sunny Pixie ANPR-EN0021st Edition | $0.75 | $7.00 | $48.10 |
 Gaap the Divine Soldier ANPR-EN096Unlimited | $0.75 | $9.00 | $69.18 |
 Koa'ki Meiru Boulder ANPR-EN0181st Edition | $0.74 | — | — |
 Fortune Lady Light ANPR-EN0101st Edition | $0.69 | $9.00 | $63.51 |
 XX-Saber Fulhelmknight ANPR-EN0811st Edition | $0.67 | $7.00 | $45.90 |
| Darksea Rescue ANPR-EN013Unlimited | $0.65 | $8.00 | $52.49 |
| Shiny Black "C" ANPR-EN024Unlimited | $0.65 | $7.00 | $48.10 |
 Armed Sea Hunter ANPR-EN0251st Edition | $0.64 | $7.00 | $45.92 |
| Fortune Lady Light ANPR-EN010Unlimited | $0.62 | $7.00 | $44.43 |
 Revival of the Immortals ANPR-EN0891st Edition | $0.62 | $1.29 | — |
 Fortune Lady Fire ANPR-EN011Unlimited | $0.61 | $7.00 | $42.24 |
| Ancient Leaf ANPR-EN061Unlimited | $0.61 | $7.00 | $48.58 |
 Pseudo Space ANPR-EN0871st Edition | $0.61 | $9.84 | $78.39 |
 Minefieldriller ANPR-EN0341st Edition | $0.60 | $9.00 | $63.02 |
| Flamvell Firedog ANPR-EN037Unlimited | $0.56 | $8.00 | $55.68 |
| Pseudo Space ANPR-EN087Unlimited | $0.55 | $7.00 | $43.45 |
| Fortune Lady Fire ANPR-EN0111st Edition | $0.53 | $7.00 | $47.10 |
 A Major Upset ANPR-EN0801st Edition | $0.53 | — | — |
 Magicat ANPR-EN0311st Edition | $0.51 | — | — |
| Flamvell Commando ANPR-EN086Unlimited | $0.51 | $12.00 | $86.04 |
 Scary Moth ANPR-EN0231st Edition | $0.50 | $7.00 | $42.00 |
 Koa'ki Meiru Ghoulungulate ANPR-EN0821st Edition | $0.50 | — | — |
| Koa'ki Meiru Ghoulungulate ANPR-EN082Unlimited | $0.50 | — | — |
| Gaap the Divine Soldier ANPR-EN0961st Edition | $0.50 | $14.81 | $103 |
| XX-Saber Fulhelmknight ANPR-EN081Unlimited | $0.49 | $7.00 | $50.00 |
| Revival of the Immortals ANPR-EN089Unlimited | $0.46 | $7.00 | $47.36 |
 Ancient Crimson Ape ANPR-EN0381st Edition | $0.45 | $7.00 | $43.94 |
 Armored Axon Kicker ANPR-EN0291st Edition | $0.43 | — | — |
| Scary Moth ANPR-EN023Unlimited | $0.42 | $7.00 | $41.50 |
 Brain Research Lab ANPR-EN057Unlimited | $0.41 | $7.00 | $45.41 |
 Fossil Dig ANPR-EN0621st Edition | $0.41 | — | — |
 Fairy Wind ANPR-EN0661st Edition | $0.41 | $7.00 | $40.75 |
| Magicat ANPR-EN031Unlimited | $0.40 | $7.00 | $47.35 |
 At One With the Sword ANPR-EN0791st Edition | $0.40 | $7.00 | $42.98 |
| Brain Research Lab ANPR-EN0571st Edition | $0.39 | $7.00 | $48.10 |
| Armed Sea Hunter ANPR-EN025Unlimited | $0.38 | $7.00 | $40.77 |
 Falchion Beta ANPR-EN0391st Edition | $0.38 | $6.00 | $38.82 |
 XX-Saber Ragigura ANPR-EN0361st Edition | $0.37 | $7.00 | $41.98 |
| Rekindling ANPR-EN060Unlimited | $0.37 | $7.00 | $48.60 |
| Arcana Knight Joker ANPR-EN090Unlimited | $0.37 | $7.00 | $47.34 |
 Sword of Sparkles ANPR-EN0591st Edition | $0.35 | $7.00 | $42.22 |
 Core Reinforcement ANPR-EN0731st Edition | $0.35 | $6.00 | $37.83 |
 Aegis of the Ocean Dragon Lord ANPR-EN0761st Edition | $0.35 | — | — |
| Minefieldriller ANPR-EN034Unlimited | $0.34 | $6.00 | $38.56 |
 Water Hazard ANPR-EN0561st Edition | $0.34 | $6.00 | $38.80 |
 Blackwing - Fane the Steel Chain ANPR-EN0061st Edition | $0.30 | $6.00 | $36.84 |
| XX-Saber Ragigura ANPR-EN036Unlimited | $0.30 | $7.00 | $42.70 |
 Psychic Emperor ANPR-EN0841st Edition | $0.30 | — | — |
 Jester Lord ANPR-EN008Unlimited | $0.29 | $6.00 | $37.34 |
| At One With the Sword ANPR-EN079Unlimited | $0.29 | $6.00 | $35.63 |
| Falchion Beta ANPR-EN039Unlimited | $0.28 | $6.00 | $34.89 |
 Sauropod Brachion ANPR-EN0951st Edition | $0.27 | — | — |
 Koa'ki Meiru Tornado ANPR-EN021Unlimited | $0.26 | $6.00 | $35.88 |
| Sword of Sparkles ANPR-EN059Unlimited | $0.26 | $6.00 | $35.87 |
 Silver Wing ANPR-EN0461st Edition | $0.25 | — | — |
 Sunlight Unicorn ANPR-EN0031st Edition | $0.24 | — | — |
| Jester Lord ANPR-EN0081st Edition | $0.24 | — | — |
 Depth Amulet ANPR-EN0701st Edition | $0.24 | $6.00 | $36.10 |
 Iron Core Luster ANPR-EN0741st Edition | $0.24 | $6.00 | $34.16 |
 Battle of the Elements ANPR-EN0751st Edition | $0.24 | — | — |
 Psychic Soul ANPR-EN0771st Edition | $0.24 | $6.00 | $32.69 |
| Sunny Pixie ANPR-EN002Unlimited | $0.23 | $6.00 | $36.85 |
 Divine Dragon Aquabizarre ANPR-EN0261st Edition | $0.23 | $7.00 | $42.22 |
| Sauropod Brachion ANPR-EN095Unlimited | $0.23 | $7.00 | $40.26 |
 Blackwing - Mistral the Silver Shield ANPR-EN004Unlimited | $0.22 | $6.00 | $34.89 |
 Release Restraint Wave ANPR-EN0451st Edition | $0.22 | $6.00 | $35.38 |
| Blackwing - Mistral the Silver Shield ANPR-EN0041st Edition | $0.21 | $7.00 | $42.23 |
 Infernity Beast ANPR-EN0121st Edition | $0.21 | $6.00 | $36.12 |
| A Major Upset ANPR-EN080Unlimited | $0.21 | $6.00 | $34.41 |
| Koa'ki Meiru Tornado ANPR-EN0211st Edition | $0.20 | — | — |
| Fossil Dig ANPR-EN062Unlimited | $0.20 | $7.00 | $41.49 |
| Core Reinforcement ANPR-EN073Unlimited | $0.20 | $6.00 | $35.39 |
| Ancient Crimson Ape ANPR-EN038Unlimited | $0.18 | $6.00 | $37.35 |
 Imperial Custom ANPR-EN067Unlimited | $0.18 | $6.00 | $35.13 |
 Flamvell Counter ANPR-EN0781st Edition | $0.18 | — | — |
| Koa'ki Meiru Boulder ANPR-EN018Unlimited | $0.17 | $6.00 | $34.40 |
| Silver Wing ANPR-EN046Unlimited | $0.17 | $7.00 | $43.45 |
| Iron Core Luster ANPR-EN074Unlimited | $0.17 | $6.00 | $34.89 |
 Morphtronic Magnen Bar ANPR-EN007Unlimited | $0.16 | $6.00 | $33.42 |
 Darksea Float ANPR-EN014Unlimited | $0.16 | $6.00 | $32.69 |
 Koa'ki Meiru Hydro Barrier ANPR-EN0221st Edition | $0.16 | $7.00 | $40.53 |
 Pixie Ring ANPR-EN0651st Edition | $0.16 | — | — |
| Fairy Wind ANPR-EN066Unlimited | $0.16 | $6.00 | $36.85 |
| Aegis of the Ocean Dragon Lord ANPR-EN076Unlimited | $0.16 | $6.00 | $34.40 |
| Flamvell Counter ANPR-EN078Unlimited | $0.16 | $6.00 | $34.89 |
| Psychic Emperor ANPR-EN084Unlimited | $0.16 | $6.00 | $33.43 |
| Sunlight Unicorn ANPR-EN003Unlimited | $0.15 | $6.00 | $33.66 |
 Spirit Burner ANPR-EN0501st Edition | $0.15 | $6.00 | $35.38 |
 Genetic Woman ANPR-EN030Unlimited | $0.14 | $6.00 | $32.93 |
 White Potan ANPR-EN0331st Edition | $0.14 | — | — |
| Spirit Burner ANPR-EN050Unlimited | $0.14 | $6.00 | $33.18 |
 Hydro Pressure Cannon ANPR-EN0551st Edition | $0.14 | — | — |
| Water Hazard ANPR-EN056Unlimited | $0.14 | $6.00 | $37.08 |
| Imperial Custom ANPR-EN0671st Edition | $0.14 | — | — |
| Blackwing - Fane the Steel Chain ANPR-EN006Unlimited | $0.13 | $6.00 | $33.67 |
| Infernity Beast ANPR-EN012Unlimited | $0.13 | $6.00 | $33.91 |
 Koa'ki Meiru Speeder ANPR-EN020Unlimited | $0.13 | $6.00 | $32.94 |
| Divine Dragon Aquabizarre ANPR-EN026Unlimited | $0.13 | $6.00 | $33.18 |
| Armored Axon Kicker ANPR-EN029Unlimited | $0.13 | $6.00 | $37.58 |
 Advance Draw ANPR-EN0471st Edition | $0.13 | $6.00 | $33.18 |
| Hydro Pressure Cannon ANPR-EN055Unlimited | $0.13 | $6.00 | $36.11 |
 Slip of Fortune ANPR-EN069Unlimited | $0.13 | $6.00 | $33.42 |
 Damage Translation ANPR-EN0711st Edition | $0.13 | $6.00 | $32.69 |
| Damage Translation ANPR-EN071Unlimited | $0.13 | $6.00 | $36.60 |
| Koa'ki Meiru Hydro Barrier ANPR-EN022Unlimited | $0.12 | $6.00 | $32.69 |
 Shark Cruiser ANPR-EN028Unlimited | $0.12 | $7.00 | $47.13 |
| Genetic Woman ANPR-EN0301st Edition | $0.12 | $6.00 | $33.42 |
 Emergency Assistance ANPR-EN049Unlimited | $0.12 | $6.00 | $32.93 |
 Core Blaster ANPR-EN053Unlimited | $0.12 | $6.00 | $32.94 |
 Battle Teleportation ANPR-EN0721st Edition | $0.12 | — | — |
| Battle of the Elements ANPR-EN075Unlimited | $0.12 | $6.00 | $33.91 |
| Morphtronic Magnen Bar ANPR-EN0071st Edition | $0.11 | $6.00 | $32.69 |
| Shark Cruiser ANPR-EN0281st Edition | $0.11 | $6.00 | $36.12 |
 Cyborg Doctor ANPR-EN0321st Edition | $0.11 | — | — |
| Cyborg Doctor ANPR-EN032Unlimited | $0.11 | $6.00 | $32.69 |
| Advance Draw ANPR-EN047Unlimited | $0.11 | $6.00 | $32.69 |
| Emergency Assistance ANPR-EN0491st Edition | $0.11 | $6.00 | $32.69 |
| Core Blaster ANPR-EN0531st Edition | $0.11 | $6.00 | $32.69 |
| Slip of Fortune ANPR-EN0691st Edition | $0.11 | $6.00 | $33.67 |
| Depth Amulet ANPR-EN070Unlimited | $0.11 | $6.00 | $35.87 |
| Darksea Float ANPR-EN0141st Edition | $0.10 | $6.00 | $36.12 |
| Pixie Ring ANPR-EN065Unlimited | $0.10 | $6.00 | $33.67 |
| Battle Teleportation ANPR-EN072Unlimited | $0.10 | $6.00 | $32.69 |
| White Potan ANPR-EN033Unlimited | $0.09 | $6.00 | $32.69 |
| Release Restraint Wave ANPR-EN045Unlimited | $0.09 | $7.00 | $42.23 |
| Psychic Soul ANPR-EN077Unlimited | $0.07 | — | — |
| Koa'ki Meiru Speeder ANPR-EN0201st Edition | $0.01 | $7.00 | $46.16 |
Sorted by ungraded price. Raw prices: TCGplayer market price. Graded values: PriceCharting. A dash means we do not show a graded value for that card. This is a guide, not financial advice.
Every printing of the top cards in Ancient Prophecy
Ancient Fairy Dragon cardsBlackwing - Vayu the Emblem of Honor cardsElemental Hero Gaia cardsEarthbound Immortal Chacu Challhua cardsAncient Sacred Wyvern cardsArmityle the Chaos Phantom cardsEarthbound Immortal Cusillu cardsWhite Night Dragon cardsKoa'ki Meiru Gravirose cardsCard Guard cardsXX-Saber Gottoms cardsGaia Plate the Earth Giant cards
More Yu-Gi-Oh card lists
World Championship 2010 Card PackYu-Gi-Oh! Championship Series Prize Cards2009 Collectors Tin5D's Starter Deck 2009Champion Pack 8Crimson CrisisDuel Terminal - PreviewDuelist Pack 8: Yusei FudoAll 518 setsMost expensive Yu-Gi-Oh cards
Questions
Ancient Prophecy price questions
What is the most valuable card in Ancient Prophecy?
Ancient Fairy Dragon (Ghost Rare) ANPR-EN040 (1st Edition) at about $430 ungraded. The highest graded value is Blackwing - Vayu the Emblem of Honor (UTR) at about $6,997 as a PSA 10.
How many cards are in the Ancient Prophecy card list?
We list 221 cards and versions from Ancient Prophecy, each with its ungraded market price, and 174 of them with PSA 9 and PSA 10 values. Alternate arts, promos and event versions are listed as their own rows.
Which Ancient Prophecy cards are worth grading?
9 cards in this set make money even as a PSA 9 after PSA's fee for that value (from $59.99), $5 shipping and a 13% selling fee. Open a card to see its grading math.