Division Facts to 12

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Concept Review

Division by 11: The Twin Pattern Mystery

Imagine you have 22 stickers and want to share them equally among 11 friends. How many stickers does each friend get? The answer might surprise you—and it reveals one of math's most fascinating patterns!

When we divide by 11, we're asking: "How many groups of 11 can we make?" It's like being a party planner who needs to seat exactly 11 people at each table.

The Magic of 11

Let's watch what happens when we divide numbers by 11:

22 ÷ 11 =2 (because 11 × 2 = 22)
33 ÷ 11 =3 (because 11 × 3 = 33)
44 ÷ 11 =4 (because 11 × 4 = 44)
55 ÷ 11 =5 (because 11 × 5 = 55)

The Twin Digits Secret

Here's the amazing pattern: When you see twin digits (like 22, 33, 44), dividing by 11 gives you just one of those digits!

77 ÷ 11 = 7

99 ÷ 11 = 9

It's like the number is telling you its own division answer!

Real-World Example: The Soccer Team

Coach Martinez has 66 soccer balls and wants to give an equal number to each of her 11 players. Let's solve: 66 ÷ 11.

Using our twin pattern, we know that 66 ÷ 11 = 6. Each player gets exactly 6 soccer balls! We can check: 11 × 6 = 66. ✓

Beyond the Twins

Not all division by 11 involves twin digits. Sometimes we get problems like 132 ÷ 11 = 12, or we might have remainders. But the twin pattern gives us a powerful shortcut for many division facts with 11.

🔑 Key Takeaway

Those 22 stickers from our opening question? Each of the 11 friends gets exactly 2 stickers. The twin digits revealed the answer all along—division by 11 often hides its solution in plain sight!

Sample questions

1. What is the quotient of $88 div 11$?

✓ 8

○ 7

○ 11

○ 9

Answer: 8 — When a 2-digit number has repeating digits (like 88), dividing by 11 gives you that single digit.

2. If you have 110 solar cells and arrange them in 11 equal rows, how many are in each row?

○ 11

✓ 10

○ 1

○ 12

Answer: 10 — Think of the 10s rule: $11 imes 10 = 110$.

3. Solve: $121 div 11$

○ 12

○ 10

○ 21

✓ 11

Answer: 11 — This is a square fact: $11 imes 11 = 121$.

Skills in this topic

Divide by 11
Divide by 12
Identify true or false division equations
Find the missing number in a division equation
Solve word problems using division facts up to 12

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