Flash anzan kentei 11th to 20th dan: the top of the ladder
Every level from 11th dan to 20th dan flashes 15 numbers of 3 digits; only the time changes, from 2.8 seconds down to 1.5, which leaves each number on screen for 100 milliseconds at the top. The practice sitting below runs all ten, behind a flashing warning, with an opt-in from 12th dan.
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11th dan15 × 3-digit, 2.8 s
At this level the numbers flash more than three times a second. The sitting shows a flashing warning before it starts, and from 12th dan it also asks you to confirm.
Every level here flashes more than three numbers a second. When you start, the sitting shows a flashing warning, and from 12th dan it asks you to tick a box before the first question.
The level's own pace
Every number gets an equal, frame-timed share of the level's total time, with a blank beat before the next one.
Ten fresh sequences
Each sitting draws ten new sequences built to the level's digit width, count and carrying rules.
Marked with the bands
70 or more passes and 50 or 60 is a semi-pass. Every missed sequence is then shown beside its total.
The levels in this tier
The count and the digit width never change in this tier, so the table is really a list of times. The per-number column shows how little separates one level from the next near the top.
11th to 20th dan: digits, numbers and times
| Level | Digits | Numbers | Total time | Per number |
|---|---|---|---|---|
| 11th dan | 3 | 15 | 2.8 s | 0.187 s |
| 12th dan | 3 | 15 | 2.6 s | 0.173 s |
| 13th dan | 3 | 15 | 2.4 s | 0.16 s |
| 14th dan | 3 | 15 | 2.2 s | 0.147 s |
| 15th dan | 3 | 15 | 2 s | 0.133 s |
| 16th dan | 3 | 15 | 1.9 s | 0.127 s |
| 17th dan | 3 | 15 | 1.8 s | 0.12 s |
| 18th dan | 3 | 15 | 1.7 s | 0.113 s |
| 19th dan | 3 | 15 | 1.6 s | 0.107 s |
| 20th dan | 3 | 15 | 1.5 s | 0.1 s |
The Flash Anzan Kentei Association publishes 11th, 15th, 19th and 20th dan. The rows for 12th to 14th and 16th to 18th dan are Kani practice settings, placed between the published levels on either side.
What these levels ask
The tier starts where the last one ended, with 15 numbers of 3 digits, and takes time away level by level: 2.8 seconds at 11th dan, 2 at 15th dan, 1.6 at 19th dan and 1.5 at 20th dan.
Near the top the steps are tiny. Between 19th dan and 20th dan each number loses only a few thousandths of a second, from 0.107 to 0.1, which on a 60 Hz screen is less than one frame.
20th dan on the Flash Anzan Kentei Association's ladder, 1.5 seconds, is quicker on paper than the 1.61-second Guinness World Records time for fifteen 3-digit numbers. They are not the same kind of result: a kentei level is passed with seven of ten questions correct in an online sitting, and a record is set once under competition rules, so neither says anything about the other.
How Kani builds the numbers
Every number is a 3-digit number from 100 to 999, only added, with carrying allowed and no number repeated back to back. Totals usually reach four digits and sometimes five.
At these speeds the display matters as much as the numbers. Kani's sitting measures the screen's frame rate before it starts and gives every number the same count of frames. If the screen refreshes too slowly to give each number at least two frames, the sitting says so instead of starting, and if a frame is dropped mid-flash the question is replaced.
One sample sequence per level
One printed sequence per level, from the same engine as the practice sitting. On paper these rows take far longer to read than their flash lasts, so use them to check the arithmetic, not the speed.
- 11th dan15 × 3-digit, 2.8 s
319351391633821776716574977145398936225319598
Show the total
Total:8,179
- 12th dan15 × 3-digit, 2.6 s
320627503600857947361966238730445274480422413
Show the total
Total:8,183
- 13th dan15 × 3-digit, 2.4 s
489914622539571171912523848472290232274319252
Show the total
Total:7,428
- 14th dan15 × 3-digit, 2.2 s
840725718457331302122998300699127298964625215
Show the total
Total:7,721
- 15th dan15 × 3-digit, 2 s
806788936879720488951352464705423787321842883
Show the total
Total:10,345
- 16th dan15 × 3-digit, 1.9 s
518598415155421390162305821727834723546165203
Show the total
Total:6,983
- 17th dan15 × 3-digit, 1.8 s
336268102828440659268773762259611128168639146
Show the total
Total:6,387
- 18th dan15 × 3-digit, 1.7 s
668307903844450218885837156597330394662718884
Show the total
Total:8,853
- 19th dan15 × 3-digit, 1.6 s
984517546574986143128824655297708875312904450
Show the total
Total:8,903
- 20th dan15 × 3-digit, 1.5 s
290711959906347520112790683528949402787292551
Show the total
Total:8,827
How to practise
Earn the tier first
These levels build directly on 10th dan. If 10th dan does not pass reliably, practise there; the numbers here are the same, only faster.
Use a steady screen
A desktop monitor or a tablet on a stand, in steady light, at a comfortable distance. A phone works too, but battery-saving modes can slow the screen; if the sitting reports a low refresh rate, turn that mode off or change device.
Short sessions, real breaks
One or two sittings, then look away from the screen for a few minutes. Fast flashing is tiring, and tired eyes miss numbers.
Stop at any discomfort
Headache, dizziness or any unusual feeling is a reason to stop at once. Anyone with photosensitive epilepsy should not run these levels.
Common questions
Is 20th dan faster than the world record?
Why do I have to tick a box?
Can a phone show these levels fairly?
Which rows here are the Flash Anzan Kentei Association's?
Sources
- Nihon Flash Anzan Kentei Kyokai: online kentei levels, pass marks and retakes (Japanese)
- Nihon Flash Anzan Kentei Kyokai: page for schools, with the entry-level times (Japanese)
- Nihon Flash Anzan Kentei Kyokai: news, MEXT backing from 1 February 2023 (Japanese)
- Zenshuren: flash anzan exam (Japanese)
- Nishuren: flash anzan exam (Japanese)
- Zenkoku Shuzan Gakko Renmei (Japanese)
- Japan Soroban Museum glossary: flash anzan (Japanese)
- Japan Soroban Museum glossary: keta (Japanese)
- Japan Soroban Museum glossary: kuchisu (Japanese)
- Guinness World Records: fastest flash mental arithmetic
- Nihon Flash Anzan Kyokai: record list (Japanese)
Kani Math is not affiliated with, endorsed by or licensed by the Japan Flash Anzan Kentei Association (Nihon Flash Anzan Kentei Kyokai), the League for Soroban Education of Japan (Zenshuren), the League of Japan Abacus Associations (Nishuren) or any other exam body. The levels on these pages are a practice ladder modelled on the one that association publishes: levels the table notes name as Kani practice settings carry Kani's own values, every sequence is generated by Kani, and a practice result is not a certification. Flash Anzan is a trademark of its owner. Exam details can change, so confirm them with whoever runs your sitting.