Printable Dividing by 11 Flash Cards
Dividing by 11 starts as pure pattern: every repeated-digit number up to 99 divides by 11 into its digit — 44 ÷ 11 = 4, 88 ÷ 11 = 8. Then come the three at the top of the deck: 110 ÷ 11 = 10, 121 ÷ 11 = 11, and 132 ÷ 11 = 12. These cards cover 11 ÷ 11 through 132 ÷ 11.
How to Use These Flash Cards
The repeated-digit cards will be instant almost immediately; bank them and spend the session on 110, 121, and 132. Verify flips by multiplying back — if 132 ÷ 11 = 12, then 11 × 12 must be 132 (it is: 110 + 22). Checking by multiplication is a habit worth keeping well beyond this deck.
How to Cut and Fold
- Print the PDF single-sided on plain paper or light cardstock.
- Cut along the solid lines to separate the cards.
- Fold each card along the dashed center line so the answer sits behind the question, and turn the card over like a page to check.
- Optional: a dab of glue inside the fold makes a sturdy double-thick card.
Frequently Asked Questions
What is the pattern for dividing by 11?
Repeated-digit numbers up to 99 divide into their digit: 77 ÷ 11 = 7. The pattern holds because 11 × n for single-digit n writes n twice.
How do you handle 121 and 132 divided by 11?
They are the reverses of 11 × 11 = 121 and 11 × 12 = 132 — past where the repeated-digit pattern lives, so they are best memorized outright. Checking by multiplying back (11 × 12 = 110 + 22 = 132) confirms them.
Why does checking division by multiplying back work?
Division and multiplication undo each other: if 99 ÷ 11 = 9, then 11 × 9 must rebuild 99. Making the check a habit catches slips instantly and reinforces both fact directions.