11 Times Table & Extended Tables 11-20
Understanding the 11 Times Table
The 11 times table is one of the most fascinating multiplication tables because of its simple yet amazing pattern. The time table of 11 shows unique characteristics that make it easier to learn than you might expect. For numbers 1-9, the 11 times table simply repeats the digit (11, 22, 33, 44, etc.), making it one of the easiest patterns to recognize. Beyond single digits, the 11 times table uses a clever "sum in the middle" trick that works for any two-digit number.
Why Learn the 11 Times Table?
- Simple pattern: Easiest multiplication table to master for 1-9
- Mental math: Quick calculations using the sum-in-middle trick
- Extended learning: Gateway to understanding tables 11-20
- Real-world use: Common in measurements and calculations
- Confidence boost: Easy success builds math confidence
- Pattern recognition: Develops number sense and mathematical thinking
Complete Time Table of 11
| Multiplication | Answer | Pattern |
|---|---|---|
| 11 × 1 | 11 | Repeat 1 |
| 11 × 2 | 22 | Repeat 2 |
| 11 × 3 | 33 | Repeat 3 |
| 11 × 4 | 44 | Repeat 4 |
| 11 × 5 | 55 | Repeat 5 |
| 11 × 6 | 66 | Repeat 6 |
| 11 × 7 | 77 | Repeat 7 |
| 11 × 8 | 88 | Repeat 8 |
| 11 × 9 | 99 | Repeat 9 |
| 11 × 10 | 110 | Add 0 |
| 11 × 11 | 121 | 1+(1+1)+1 |
| 11 × 12 | 132 | 1+(1+2)+2 |
Quick Reference - 11 Times Table:
11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132, 143, 154, 165, 176, 187, 198, 209, 220
The Amazing 11 Times Table Trick
🎯 The "Sum in the Middle" Magic Trick!
For Single Digits (1-9): Just Repeat the Digit!
Examples:
- 11 × 3 = 33 (repeat 3)
- 11 × 7 = 77 (repeat 7)
- 11 × 9 = 99 (repeat 9)
For Two-Digit Numbers: Add the Digits & Put Sum in Middle!
Example: 11 × 16
Step 1: Write the first digit → 1__
Step 2: Add the two digits (1 + 6 = 7) → 17_
Step 3: Write the last digit → 176
Answer: 11 × 16 = 176 ✓
Example: 11 × 25
Step 1: First digit → 2__
Step 2: Sum (2 + 5 = 7) → 27_
Step 3: Last digit → 275
Answer: 11 × 25 = 275 ✓
⚠️ Special Case: When sum > 9, carry the 1!
Example: 11 × 47
4 + 7 = 11 (two digits!)
Write: 4 + 1 (carry), 1 (from 11), 7
Answer: 517
11 and 12 Times Tables Comparison
| n | 11 × n | 12 × n | Difference |
|---|---|---|---|
| 1 | 11 | 12 | +1 |
| 2 | 22 | 24 | +2 |
| 3 | 33 | 36 | +3 |
| 4 | 44 | 48 | +4 |
| 5 | 55 | 60 | +5 |
| 6 | 66 | 72 | +6 |
| 7 | 77 | 84 | +7 |
| 8 | 88 | 96 | +8 |
| 9 | 99 | 108 | +9 |
| 10 | 110 | 120 | +10 |
| 11 | 121 | 132 | +11 |
| 12 | 132 | 144 | +12 |
Key Relationship:
12 × n is always n more than 11 × n!
Example: If 11 × 8 = 88, then 12 × 8 = 88 + 8 = 96
Complete Time Table 11 to 20
11 Times Table
11×1=11, 11×2=22, 11×3=33, 11×4=44, 11×5=55, 11×6=66, 11×7=77, 11×8=88, 11×9=99, 11×10=110, 11×11=121, 11×12=132
12 Times Table
12×1=12, 12×2=24, 12×3=36, 12×4=48, 12×5=60, 12×6=72, 12×7=84, 12×8=96, 12×9=108, 12×10=120, 12×11=132, 12×12=144
13 Times Table
13×1=13, 13×2=26, 13×3=39, 13×4=52, 13×5=65, 13×6=78, 13×7=91, 13×8=104, 13×9=117, 13×10=130, 13×11=143, 13×12=156
14 Times Table
14×1=14, 14×2=28, 14×3=42, 14×4=56, 14×5=70, 14×6=84, 14×7=98, 14×8=112, 14×9=126, 14×10=140, 14×11=154, 14×12=168
15 Times Table
15×1=15, 15×2=30, 15×3=45, 15×4=60, 15×5=75, 15×6=90, 15×7=105, 15×8=120, 15×9=135, 15×10=150, 15×11=165, 15×12=180
16 Times Table
16×1=16, 16×2=32, 16×3=48, 16×4=64, 16×5=80, 16×6=96, 16×7=112, 16×8=128, 16×9=144, 16×10=160, 16×11=176, 16×12=192
17 Times Table
17×1=17, 17×2=34, 17×3=51, 17×4=68, 17×5=85, 17×6=102, 17×7=119, 17×8=136, 17×9=153, 17×10=170, 17×11=187, 17×12=204
18 Times Table
18×1=18, 18×2=36, 18×3=54, 18×4=72, 18×5=90, 18×6=108, 18×7=126, 18×8=144, 18×9=162, 18×10=180, 18×11=198, 18×12=216
19 Times Table
19×1=19, 19×2=38, 19×3=57, 19×4=76, 19×5=95, 19×6=114, 19×7=133, 19×8=152, 19×9=171, 19×10=190, 19×11=209, 19×12=228
20 Times Table
20×1=20, 20×2=40, 20×3=60, 20×4=80, 20×5=100, 20×6=120, 20×7=140, 20×8=160, 20×9=180, 20×10=200, 20×11=220, 20×12=240
Frequently Asked Questions
What is the 11 times table?
The 11 times table is a multiplication table showing products of 11 multiplied by numbers 1-12: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132. It's known for its simple pattern where single digits (1-9) are repeated in the answer.
What is the trick for learning the time table of 11?
The time table of 11 trick: For single digits (1-9), simply repeat the digit (11×3=33). For two-digit numbers, use the "sum in the middle" method: write the first digit, add both digits together for the middle, write the last digit. Example: 11×16 = 1(1+6)6 = 176.
How do 11 and 12 times tables relate?
The 11 and 12 times tables have a simple relationship: 12×n is always n more than 11×n. Example: 11×7=77, so 12×7=77+7=84. This pattern helps you calculate one table if you know the other.
What are time tables 11 to 20?
Time tables 11 to 20 are extended multiplication tables beyond the standard 1-12 range. They include the 11, 12, 13, 14, 15, 16, 17, 18, 19, and 20 times tables. Learning these provides advanced multiplication skills useful for higher-level math and real-world calculations.
Why is the 11 times table so easy?
The 11 times table is easy because of its clear patterns. For 1-9, you simply repeat the digit (11×4=44). For larger numbers, the sum-in-middle trick provides a simple mental math method. These patterns make it one of the easiest multiplication tables to master.
How do you use the sum in the middle trick for 11?
For the 11 times table sum-in-middle trick: (1) Write the first digit of the number, (2) Add both digits together and write the sum in the middle, (3) Write the last digit. Example: 11×23 = 2(2+3)3 = 253. If the sum is 10 or more, carry the tens digit to the first position.
What is the time table 11 to 20 used for?
The time table 11 to 20 is used for advanced multiplication, mental math, algebra preparation, competitive exams, and real-world calculations involving larger numbers. While not required in basic curricula, mastering these extended tables provides a significant mathematical advantage.
How long does it take to learn the 11 times table?
Most students can learn the 11 times table in 1-3 days with the pattern tricks. The repeating digit pattern (1-9) can be mastered in minutes. The sum-in-middle trick requires a bit more practice but is usually mastered within a week of 10-15 minute daily practice sessions.
Can the 11 trick work for three-digit numbers?
Yes! The 11 times table trick extends to larger numbers using a similar pattern of adding adjacent digits. For 11×123: add digits in pairs from right to left (1, 1+2=3, 2+3=5, 3) to get 1353. This method works for any size number multiplied by 11.
Should I learn tables 11-20 all at once?
No, learn time table 11 to 20 gradually. Start with 11 (easiest), then 12, then 20 (just add zero), then 15 (half of 30). Master these before tackling 13, 14, 16-19. Focus on one table at a time with daily practice for best retention.
Tips for Mastering Tables 11-20
Learning Strategy:
- Start with 11: Master the easiest table first using patterns
- Learn 12 next: Already required for standard curricula
- Then 20: Very easy—just add zero to the multiplier
- Master 15: Use the pattern of adding 15 repeatedly
- Focus on relationships: Notice how tables relate to each other
- Practice daily: 10-15 minutes per table before moving on
- Use the tricks: Apply patterns like 11's sum-in-middle method
- Build confidence: Success with extended tables boosts math skills
