Pascal's Triangle in 12 Rows

Print Pascal's triangle in twelve rows, nine of its numbers left blank. The numbers now grow past 100, up to 462 at the center of the final row, and some blanks have three digits, so the sums get longer than on the eight-row sheets.

Coloring the odd numbers gives the Sierpinski pattern again, cut off partway through its next step, an interesting point to discuss with a class. Each of the twelve sheets has its own blanks, and the workbook gathers them all.

Part of the Pascal's Triangle collection, Last updated on Tue, 03 Nov 2026 01:24:13 GMT.

Free Printables

Pascal's Triangle, 12 Rows (N1)

Twelve rows and nine numbers to find, some with three digits, then a pattern to color. | zuzuzi.com

Pascal's Triangle, 12 Rows (N2)

Pascal's Triangle, 12 Rows (N3)

Pascal's Triangle, 12 Rows (N4)

Pascal's Triangle, 12 Rows (N5)

Pascal's Triangle, 12 Rows (N6)

Pascal's Triangle, 12 Rows (N7)

Pascal's Triangle, 12 Rows (N8)

Pascal's Triangle, 12 Rows (N9)

Pascal's Triangle, 12 Rows (N10)

Pascal's Triangle, 12 Rows (N11)

Pascal's Triangle, 12 Rows (N12)

Three-Digit Sums

From the tenth row on, the middle numbers pass 100. A blank there means adding two numbers of two or three digits, good practice for column or mental addition at the third-grade level.

An Unfinished Pattern

The odd cells of twelve rows repeat the complete eight-row pattern and begin the next, larger one, which only sixteen rows finish. Asking what the next rows would add is a natural way to lead children toward the sixteen-row sheets.

Nine Blanks per Sheet

Each sheet hides nine numbers, at most two on a row, and never two blanks touching from above or below, so every one can be found from printed numbers.

Frequently Asked Questions

What Is the Largest Number on These Sheets?

462, the central number of row twelve. A blank can have up to three digits.

Why Does the Colored Pattern Look Incomplete?

The Sierpinski pattern doubles in height at each step: it completes at 8 rows and again at 16. Twelve rows stop between the two, so the last triangles are cut off.

Is There an Answer Key?

Not on the printed sheets. Tick Show the solution on the Pascal's triangle generator to get a new sheet whose blanks are filled in orange dots and whose odd cells are circled.