Quick Math Sheets

Printable fact family triangles

One triangle holds one fact family. The product sits at the top corner and its two factors sit at the bottom two, and from those three numbers a child writes two multiplication facts and two division facts. Print a clean PDF in seconds.

Facts

Facts to 5 uses the 2, 3, 4 and 5 tables and suits a child just meeting fact families. Facts to 10 goes up to the 9 table. The two sheets share no fact family, so a child can work both.

Orientation

Portrait prints the four triangles two by two. Landscape puts them in one row, which gives each triangle more height.

Live previewMultiplication and division

Fact family triangles

Each triangle holds one fact family. Use the three numbers to write two multiplication facts and two division facts.

Quick Math Sheets

How to use it

Start at the top. The number at the apex is the whole, the two at the base are the parts that multiply to make it. Read the two factors first and write the multiplication fact, then write it again with the factors swapped. Then cover a factor with a finger: the number you cannot see is what the whole divides by the other one to give, and that is a division fact. Four facts, three numbers, one picture.

Why a triangle

A list of four facts asks a child to remember four separate things. A triangle shows why they are the same thing seen from three corners, which is the whole point of a fact family: multiplication and division are not two topics to learn but one relationship read in different directions. Once that clicks, a forgotten division fact stops being lost and becomes something a child can rebuild from the multiplication they do remember.

Every number is shown

Nothing is hidden on these triangles. All three numbers are printed, every time. The work is not finding a missing number, it is arranging the three you already have into the four facts they make. If you want practice with a number missing instead, the worksheet generator covers that directly.

Practice the facts

Fact families work best next to the tables they come from. The printable multiplication chart is where a child can look a fact up, and the printable division facts chart shows the same facts written as divisions. For written practice, multiplication worksheets and division worksheets cover facts through multi-digit work, or browse all printables.

A simple routine

Do one triangle together out loud before letting a child work the rest alone. Say the multiplication fact, swap the factors, then cover each corner in turn and say what is hidden. Two minutes of that makes the other three triangles obvious, and it is the covering, not the writing, that teaches the relationship.