Multiplying by 11
インド式計算道
Way of Indian Math
99 × 99 in seconds.
Thirteen methods. One mental-math practice.
From Level 1 to Master 7, each rank teaches a different way to see a multiplication. No ads, no network, just ink-quiet focus.

Editorial dispatch
Why five seconds is enough.
Indian-style mental math is not a shortcut. You split the place values, find a symmetry, and rewrite the expression as something simpler. The long form disappears.
Worked example: 37 × 43
- 01
37 × 43
Long multiplication takes four lines.
- 02
= (40 − 3)(40 + 3)
Average is 40, the gap is 3.
- 03
= 40² − 3²
Sum × difference is a difference of squares.
- 04
= 1600 − 9
Squares are well within recall.
- 05
= 1591
Done. Four seconds.
Curriculum
Thirteen ways of seeing.
Each method is the shortest path through one specific pattern. You don't memorise it — you learn to see it.
Rank
Pattern
Example
- 01 / 級Level 1ab × 11Multiplying by 1126 × 11 = 286
- 02 / 級Level 2(ab) × (cb), a+c=10Same ones, tens sum to 1035 × 75 = 2625
- 03 / 級Level 3(ab) × (ac), b+c=10Same tens, ones sum to 1043 × 47 = 2021
- 04 / 級Level 4(1a) × (1b)Both numbers in 11–1913 × 14 = 182
- 05 / 級Level 5(N − d)(N + d)Average is a round number37 × 43 = 1591
- 06 / 級Level 6Numbers near 100Both numbers in the 90s97 × 96 = 9312
- 07 / 段Master 12-digit × 1-digit2-digit × 1-digit37 × 6 = 222
- 08 / 段Master 2even × ones-is-5Even 2-digit × ones-is-524 × 35 = 840
- 09 / 段Master 3(a5) × (b5)Both end in 535 × 75 = 2625
- 10 / 段Master 4even × 25 / 75Even 2-digit × 25 / 7568 × 25 = 1700
- 11 / 段Master 5(a1) × (b1)Both end in 131 × 41 = 1271
- 12 / 段Master 6(ab) × (ac), same tensSame tens digit34 × 37 = 1258
- 13 / 段Master 7Vertical & crosswiseGeneral 2-digit × 2-digit47 × 58 = 2726
Ranked path
Thirteen seals, Level 1 to Master 7.
Five seconds per question, fifty for the round of twenty. Mistakes cost time. That's the price of a seal.
- 01Level 1
- 02Level 2
Same ones, tens sum to 10
- 03Level 3
Same tens, ones sum to 10
- 04Level 4
Both numbers in 11–19
- 05Level 5
Average is a round number
- 06Level 6
Both numbers in the 90s
- 07Master 1
2-digit × 1-digit
- 08Master 2
Even 2-digit × ones-is-5
- 09Master 3
Both end in 5
- 10Master 4
Even 2-digit × 25 / 75
- 11Master 5
Both end in 1
- 12Master 6
Same tens digit
- 13Master 7
General 2-digit × 2-digit
From the pages
What's inside.
37 × 43
= ?
残り 1.9s
Question screen
Just the time and the expression. The rest is space for thinking.
MASTER COURSE
修行の地図
- ✓6級
- ✓5級
- ✓4級
- ▶3級
- ·2級
- ·1級
- ·初段
- ·二段
- ·三段
- ·四段
- ·五段
- ·六段
- ·七段
The path
Thirteen ranks at a glance. Seals stack as you climb.
合格
ぴったり 47.6秒
1問あたり 平均 2.4s
Pass screen
Confetti and Ganesha's blessing.
Price
¥350. Once.
One-time. No ads. No subscriptions. No accounts.
One-time
¥350
(tax incl.)
01 / 4
Zero ads
No ad SDK, no interruption to learning.
02 / 4
Fully offline
The app holds no network permission.
03 / 4
Five languages
Japanese, English, Korean, Chinese, French.
04 / 4
iOS / Android
Both platforms covered for ¥350.
Frequently asked
What you might be wondering.
01Is it really one-time?
Yes. ¥350 unlocks all thirteen methods and all thirteen ranks. No subscriptions, no in-app purchases.
02Is it suitable for children?
Yes, from upper elementary age. The expressions are number-led, designed to work with a parent alongside.
03Does it work offline?
Yes. The app holds no network permission. All progress and best times stay on the device.
04Are there ads?
No. No ad SDK is included.
05Do I need an account?
No. There is no account system, no cloud sync. History does not transfer between devices.
06Which languages are supported?
Japanese, English, Korean, Chinese (Simplified), and French. The app follows your OS language.
07Why five seconds per question?
Five seconds is a sane upper bound for the three steps of mental math: read, see the pattern, build the answer aloud. Beyond that, you're doing long multiplication.