Anzan Kentei 1 kyu and pre-1 kyu mock exam
1 kyu is the top of the kyu ladder of the League of Japan Abacus Associations (Nishuren). The column problems reach ten 3-digit rows and, on the official samples of pre-1 kyu and 1 kyu, include subtracted rows for the first time, while multiplication moves up to five digits across multiplicand and multiplier (jitsuho 5 keta) and division to five across divisor and quotient (hosho 5 keta), with the dividend not counted. Pre-1 kyu sits between 2 kyu and 1 kyu, and after 1 kyu comes the separate dan exam.
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Which paper?
Clock
Choose 1 kyu or pre-1 kyu and the mock exam writes a complete 80-question paper to that specification, subtracted rows in the ten-row columns included. Run it on the official 12-minute clock or untimed and answer in any order. It is scored at 10 points per column problem and 5 per multiplication or division and graded against the 400 pass mark. It is a practice paper, not an official one.
Built to the published format
Every paper follows the question counts, digit widths and question shapes of the published specification and sample papers, and a new paper is written each time you start.
The real clock
One 12-minute clock for a kyu paper, 3 + 3 + 4 minutes for dan, or untimed while you are learning. Answer the questions in any order, as in the exam.
Marked the way the paper is marked
Points per question, the pass mark or grade reached and, for dan, the rule that the lowest section decides the rank, then every wrong answer next to the right one.
The official format
1 kyu paper (Nishuren)
| Section | Questions | Content | Points |
|---|---|---|---|
| A: Mitori anzan | Nos. 1–20 | 3 keta, 10 kuchi, 30 ji: ten 3-digit rows; 8 of the 20 problems on the official sample include subtracted rows | 200 (10 each) |
| B: Kake anzan | Nos. 21–50 | Jitsuho 5 keta: 3-digit × 2-digit and 2-digit × 3-digit on the official sample, such as 607 × 38 and 24 × 480 | 150 (5 each) |
| C: Wari anzan | Nos. 51–80 | Hosho 5 keta: a 2-digit divisor with a 3-digit quotient, or a 3-digit divisor with a 2-digit quotient, on the official sample; dividends of 4 or 5 digits, such as 24,440 ÷ 65 and 6,090 ÷ 210 | 150 (5 each) |
| Whole paper | 80 questions | One 12-minute clock, sections in any order | 500; pass at 400 |
Section totals as printed on the official sample, with points per question worked out from them. The count of problems with subtracted rows is what the official sample shows; the written rules do not say where subtraction appears.
Pre-1 kyu (jun-ikkyu) paper (Nishuren)
| Section | Questions | Content | Points |
|---|---|---|---|
| A: Mitori anzan | Nos. 1–10 | 3 keta, 7 kuchi, 21 ji: seven 3-digit rows, the 2 kyu shape | 100 (10 each) |
| A: Mitori anzan | Nos. 11–20 | 3 keta, 10 kuchi, 30 ji: ten 3-digit rows; 4 of these 10 on the official sample include subtracted rows | 100 (10 each) |
| B: Kake anzan | Nos. 21–35 | Jitsuho 4 keta: 2-digit × 2-digit on the official sample | 75 (5 each) |
| B: Kake anzan | Nos. 36–50 | Jitsuho 5 keta: 3-digit × 2-digit or 2-digit × 3-digit on the official sample | 75 (5 each) |
| C: Wari anzan | Nos. 51–65 | Hosho 4 keta: a 2-digit divisor with a 2-digit quotient on the official sample | 75 (5 each) |
| C: Wari anzan | Nos. 66–80 | Hosho 5 keta: a 3-digit divisor with a 2-digit quotient, or a 2-digit divisor with a 3-digit quotient, on the official sample | 75 (5 each) |
| Whole paper | 80 questions | One 12-minute clock, sections in any order | 500; pass at 400 |
The spec lists 15 multiplication and 15 division questions at each size; the shapes shown are those on the official sample, smaller size first. Points are worked out from the section totals, as on the 1 kyu paper.
Sample paper
The sample below is a shortened 1 kyu paper written to the published specification: ten column problems of ten 3-digit rows, four of which include subtracted rows, then ten 5-digit multiplications mixing 3-digit × 2-digit with 2-digit × 3-digit, then ten divisions mixing 2-digit divisors that give 3-digit quotients with 3-digit divisors that give 2-digit quotients, numbered 1 to 30. The real paper has 20, 30 and 30 questions. Pre-1 kyu shapes are in the mock exam rather than here. It is not an official paper.
The sample below is a shortened 1 kyu paper written to the published specification: ten column problems of ten 3-digit rows, four of which include subtracted rows, then ten 5-digit multiplications mixing 3-digit × 2-digit with 2-digit × 3-digit, then ten divisions mixing 2-digit divisors that give 3-digit quotients with 3-digit divisors that give 2-digit quotients, numbered 1 to 30. The real paper has 20, 30 and 30 questions. Pre-1 kyu shapes are in the mock exam rather than here. It is not an official paper.
Mitori anzan: columns
- No. 1159732637927971353367993104168
- No. 2217180332925977346757609511547
- No. 3833577975216902921632582627202
- No. 4232618688597416102257245849926
- No. 5142285−142385472809−362827−830873
- No. 6175888560710587416117649846495
- No. 7562435−307−477448−129503838908948
- No. 8385266−412201937−714−112317165385
- No. 9592−102149880−412−794231−195233444
- No. 10737474932628568313589853939452
Kake anzan: multiplication
- No. 11167 × 98 =
- No. 12285 × 14 =
- No. 13943 × 69 =
- No. 14910 × 66 =
- No. 15647 × 20 =
- No. 1630 × 657 =
- No. 1751 × 230 =
- No. 1868 × 636 =
- No. 1933 × 865 =
- No. 2043 × 673 =
Wari anzan: division
- No. 2135,297 ÷ 47 =
- No. 2229,400 ÷ 75 =
- No. 2336,331 ÷ 47 =
- No. 2420,300 ÷ 25 =
- No. 2522,104 ÷ 24 =
- No. 2615,910 ÷ 370 =
- No. 2714,976 ÷ 624 =
- No. 2826,676 ÷ 702 =
- No. 294,452 ÷ 212 =
- No. 3063,140 ÷ 820 =
Kani Math is not affiliated with, endorsed by or licensed by the League of Japan Abacus Associations (Nishuren), the League for Soroban Education of Japan (Zenshuren), the Japan Chamber of Commerce and Industry or any other exam body. The sample papers and mock exam on these pages are written to the published specification; they are not official papers, and a mock 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.
Answer key
- 5,411
- 5,401
- 6,467
- 4,930
- 2,459
- 5,443
- 3,729
- 1,418
- 1,026
- 6,485
- 16,366
- 3,990
- 65,067
- 60,060
- 12,940
- 19,710
- 11,730
- 43,248
- 28,545
- 28,939
- 751
- 392
- 773
- 812
- 921
- 43
- 24
- 38
- 21
- 77
How it is scored
The weights are the same as at every grade from 6 kyu up: 200 for the 20 column problems, 150 for 30 multiplications and 150 for 30 divisions on the official sample, which works out to 10, 5 and 5 points a question. The pass mark is 400.
At 1 kyu a column problem carries 30 digits of work for its 10 points, while a 5-digit multiplication earns 5 points. Leaving two ten-row problems costs as much as leaving four multiplications.
The 100-point margin can go on ten column problems, twenty multiplication or division questions, or a mix. A candidate who reaches only 16 of the column problems but gets everything else right scores 460.
Pre-1 kyu uses the same marks and the same 400 to pass.
What changes at this level
- Columns grow from seven rows to ten: 3 keta, 10 kuchi, 30 ji, so thirty digits per problem. The width has been three digits since 3 kyu; only the number of rows keeps rising.
- Subtraction appears for the first time on the official samples. In 8 of the 20 ten-row problems at 1 kyu, and 4 of the 10 at pre-1 kyu, some rows are subtracted. One ten-row problem on the official samples reads 632, 140, 837, −615, −397, 184, 756, −508, −924, 209, which works out to 314. No official sample from 10 kyu to 2 kyu has a subtracted row.
- Multiplication moves to jitsuho 5 keta, five digits between the two numbers. The sample uses both 3-digit × 2-digit (607 × 38 = 23,066) and 2-digit × 3-digit (24 × 480 = 11,520), so the longer number can be either the multiplicand or the multiplier.
- Division moves to hosho 5 keta, which the official sample fills with a 2-digit divisor and a 3-digit quotient, or a 3-digit divisor and a 2-digit quotient. Dividends on the sample run to four or five digits: 24,440 ÷ 65 = 376, 35,778 ÷ 534 = 67, 7,446 ÷ 73 = 102 and 6,090 ÷ 210 = 29.
- Two details in those divisions deserve attention: 102 has a zero inside the quotient, and 210 is a divisor that ends in zero.
Pacing
The clock is still 720 seconds for 80 questions, 9 seconds on average, but the columns are now 30 digits long and, on the official samples, some of them change direction partway down.
A worked budget: at 7 seconds per multiplication and division, the 60 short questions use 420 seconds and leave 300 for the columns. That is 15 seconds per ten-row problem, 1.5 seconds per row.
At 6 seconds each, the short questions use 360 seconds and each column gets 18 seconds, 1.8 seconds a row. Subtracted rows interrupt the rhythm of adding, so treat them as the slowest rows on the paper when planning.
If time is running out, the scoring decides what to leave: an unfinished column costs 10 points and an unfinished multiplication 5, so the better choice is whichever the candidate can finish correctly in the seconds that remain.
Pre-1 kyu hands some time back: half of its columns have seven rows, and half of its multiplication and division is at the 4-digit size of 2 kyu.
How Zenshuren's exam differs
The League for Soroban Education of Japan (Zenshuren) also tops its kyu range at 1 kyu. Its paper has three separately timed sections, multiplication, division and mitori, 3 minutes each and 100 points each, and a pass needs 70 or more in every section.
Zenshuren publishes no per-level question specifications online, so its 1 kyu shapes cannot be set against the Nishuren shapes shown here. Decimals appear only in Zenshuren's dan exams, not in its kyu exams.
The ladders above 1 kyu are also built differently. Nishuren's dan exam is one paper whose sections are ranked from 90 to 290 points; Zenshuren marks each dan section out of 200, with 70 or more in all three for pre-shodan and 190 or more for 10th dan.
Zenshuren runs kyu exams every month and dan exams six times a year, in January, March, May, July, September and November (as of September 2026).
How to prepare
Add subtraction before the exam does
Because the samples bring in subtracted rows only at pre-1 kyu and 1 kyu, a student coming from 2 kyu may never have met a minus row under time. Start with one or two subtracted rows in a ten-row column and build towards the four in the sample problem quoted on this page.
Grow the column in rows, not in width
The rows have been three digits wide since 3 kyu. Move from seven rows to eight, nine and ten, holding accuracy at each step before adding the next.
Mix both 5-digit multiplication shapes
607 × 38 and 24 × 480 are the same size of problem but feel different. Put both shapes in every practice set so neither comes as a surprise.
Practise divisions with zeros
Build a small set of divisions whose quotient has a zero inside, like 7,446 ÷ 73 = 102, and whose divisor ends in zero, like 6,090 ÷ 210 = 29.
Look ahead to dan
Dan multiplication starts at the 1 kyu size of five digits and goes on to six and seven, with 60 questions in 3 minutes. A student who finishes 1 kyu with time to spare has a realistic next target in the dan paper.
Common questions
When does subtraction first appear in the column problems?
What does hosho 5 keta allow?
Can the multiplier have three digits at 1 kyu?
Is 1 kyu scored differently from the lower kyu?
What comes after 1 kyu?
Where and when can my child sit 1 kyu?
Sources
- Nishuren: anzan kentei, kyu levels (Japanese)
- Nishuren: anzan dan exam and pass table (Japanese)
- Nishuren: official sample papers (Japanese)
- Nishuren: exam FAQ (Japanese)
- Nishuren: exam fees (Japanese)
- Zenshuren: exam overview (Japanese)
- Zenshuren: anzan exam (Japanese)
- Zenshuren: flash anzan exam (Japanese)
Kani Math is not affiliated with, endorsed by or licensed by the League of Japan Abacus Associations (Nishuren), the League for Soroban Education of Japan (Zenshuren), the Japan Chamber of Commerce and Industry or any other exam body. The sample papers and mock exam on these pages are written to the published specification; they are not official papers, and a mock 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.
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