How do I make a number bond worksheet?

Enter the whole and its parts, or leave one circle blank to create a practice problem. Choose 2 or 3 parts, pick a layout, and the bond updates instantly. Export a clean SVG or a high-resolution PNG to print or drop into a worksheet.

What are number bonds to 10?

Number bonds to 10 are the pairs of numbers that add up to ten: 1 and 9, 2 and 8, 3 and 7, 4 and 6, and 5 and 5. Learning them fluently is a key early-math milestone because it powers the make-ten strategy for mental addition and subtraction.

Can I make a three-part number bond?

Yes. Switch to 3 parts and the whole is connected to three part circles, for example 12 split into 5, 4, and 3. Three-part bonds are useful for adding several numbers, decomposing teen numbers, and early work on grouping.

Can I print a blank number bond template?

Yes. Leave the whole and all parts blank and the tool draws an empty part-part-whole template — one whole circle connected to two or three empty part circles. Export it as SVG or PNG for clean, reusable worksheets and flashcards.

Math Tool

Number Bond Generator Part-Part-Whole

Q: What is a number bond?

A number bond is a part-part-whole diagram: a "whole" circle is joined by lines to two or three "part" circles that add up to it. For example, 10 connected to 6 and 4 shows that 6 and 4 make 10. It helps children see addition and subtraction as two views of the same relationship.

Q: How do I show a missing part or missing whole?

Leave the whole or any part input empty and the tool draws that circle as a question mark. Turn on "Auto-solve the missing value" and the generator fills the single blank for you — a missing whole becomes the sum of the parts, and a missing part becomes the whole minus the other parts.

Make printable number bonds — the part-part-whole circle diagram for early math. Build 2- or 3-part bonds, blank missing values, and export SVG & PNG.

Whole circle joined to 2 or 3 part circlesBlank any value for practice problemsAuto-solve the missing whole or partWhole-on-top or -left, SVG & PNG export

Number of parts

Whole (leave blank for ?)

Parts (leave blank for ?)

Layout

Auto-solve the missing value

WholeParts

Number Bond Examples

Common ways to build a part-part-whole diagram

View:

Labeled Number Bond

A clean part-part-whole bond: whole 10 split into the parts 6 and 4.

labeledbond

Number Bond to 10

A number bond to 10, the classic model for the pairs that make ten.

to-10facts

Three-Part Number Bond

A 3-part bond: the whole 12 split into three parts, 5, 4 and 3.

3-partbond

Missing Part Number Bond

A worksheet-style bond with one part left blank for students to solve.

missingpractice

Blank Number Bond

An empty part-part-whole template for filling in any bond by hand.

blanktemplate

Number Bond Example

A bright example bond, handy as a classroom poster or worked example.

exampleposter

What is a number bond?

A number bond is a simple picture that shows how a number can be broken into parts. A larger circle holds the "whole" and is joined by short lines to two or three smaller circles that hold the "parts", so a single glance tells you both the total and the pieces it is made of. For example, the whole 10 connected to the parts 6 and 4 says 6 and 4 make 10, and also that 10 take away 6 leaves 4. Because the model links a whole to its parts in one image, it builds the flexible sense of number that later addition, subtraction, and mental-math strategies all depend on. This generator draws the circles and connecting lines exactly, so every bond prints cleanly for worksheets, flashcards, or the board.

The part-part-whole relationship

Every number bond captures the same idea: two or more parts combine to make a whole, and the whole can always be split back into those parts. Seeing both directions in one diagram is what makes the model so powerful — it shows addition and subtraction as two views of a single relationship rather than as separate, unrelated skills.
From one bond a child can read a whole fact family. The bond of 10, 6, and 4 gives 6 + 4 = 10, 4 + 6 = 10, 10 − 6 = 4, and 10 − 4 = 6, four facts from one picture.
That flexibility is exactly what mental arithmetic needs. A learner who knows the parts of a number can regroup and rebuild it on the fly, which is the foundation for strategies like making ten and bridging through ten.

Number bonds to 10

The bonds that make ten — 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5 — are the first ones most children commit to memory, because ten is the anchor of our whole number system. Drawing each pair as its own bond makes the set of "friends of ten" concrete and memorable.
Fluency with the number bonds to 10 unlocks the make-ten strategy: to add 8 + 5, a learner splits the 5 into 2 and 3, uses 8 + 2 to reach ten, then adds the remaining 3 to get 13. The bond diagram is where that splitting is first practised.
Once ten is secure, the same idea scales up to bonds of 20, 100, and beyond, so the early work with tens pays off across the rest of primary math.

Three-part number bonds

Switch to a 3-part bond and the whole is joined to three part circles instead of two — for instance 12 split into 5, 4, and 3. This shows that a number can be composed in more than one step and from more than two pieces.
Three-part bonds are useful for adding a string of numbers, for decomposing a teen number into tens and two smaller parts, and for early work on grouping and the associative property of addition.
They also make richer problems: give the whole and two of the parts and leave the third blank, and a student has to combine and subtract in the same step to find the missing piece.

Blank and missing-value bonds for practice

Leave any circle empty and the tool draws it as a question mark, turning a finished bond into a practice problem. Give the whole and one part and ask for the other, or give the parts and ask for the whole — each version rehearses a different link in the part-part-whole relationship.
Turn on "Auto-solve the missing value" and the generator fills the single blank for you, so you can print an answer key alongside a worksheet, or check a bond at a glance while teaching.
Everything renders in your browser and exports as a crisp SVG or a high-resolution PNG, so bonds print sharply on any paper size and drop cleanly into worksheets, flashcards, and slides.

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Number Bond Generator Part-Part-Whole

Make printable number bonds — the part-part-whole circle diagram for early math. Build 2- or 3-part bonds, blank missing values, and export SVG & PNG.

Whole circle joined to 2 or 3 part circlesBlank any value for practice problemsAuto-solve the missing whole or partWhole-on-top or -left, SVG & PNG export

What is a number bond?

The part-part-whole relationship

Every number bond captures the same idea: two or more parts combine to make a whole, and the whole can always be split back into those parts. Seeing both directions in one diagram is what makes the model so powerful — it shows addition and subtraction as two views of a single relationship rather than as separate, unrelated skills.

From one bond a child can read a whole fact family. The bond of 10, 6, and 4 gives 6 + 4 = 10, 4 + 6 = 10, 10 − 6 = 4, and 10 − 4 = 6, four facts from one picture.

That flexibility is exactly what mental arithmetic needs. A learner who knows the parts of a number can regroup and rebuild it on the fly, which is the foundation for strategies like making ten and bridging through ten.

Number bonds to 10

The bonds that make ten — 1 and 9, 2 and 8, 3 and 7, 4 and 6, 5 and 5 — are the first ones most children commit to memory, because ten is the anchor of our whole number system. Drawing each pair as its own bond makes the set of "friends of ten" concrete and memorable.

Fluency with the number bonds to 10 unlocks the make-ten strategy: to add 8 + 5, a learner splits the 5 into 2 and 3, uses 8 + 2 to reach ten, then adds the remaining 3 to get 13. The bond diagram is where that splitting is first practised.

Once ten is secure, the same idea scales up to bonds of 20, 100, and beyond, so the early work with tens pays off across the rest of primary math.

Three-part number bonds

Switch to a 3-part bond and the whole is joined to three part circles instead of two — for instance 12 split into 5, 4, and 3. This shows that a number can be composed in more than one step and from more than two pieces.

Three-part bonds are useful for adding a string of numbers, for decomposing a teen number into tens and two smaller parts, and for early work on grouping and the associative property of addition.

They also make richer problems: give the whole and two of the parts and leave the third blank, and a student has to combine and subtract in the same step to find the missing piece.

Blank and missing-value bonds for practice

Leave any circle empty and the tool draws it as a question mark, turning a finished bond into a practice problem. Give the whole and one part and ask for the other, or give the parts and ask for the whole — each version rehearses a different link in the part-part-whole relationship.

Turn on "Auto-solve the missing value" and the generator fills the single blank for you, so you can print an answer key alongside a worksheet, or check a bond at a glance while teaching.

Everything renders in your browser and exports as a crisp SVG or a high-resolution PNG, so bonds print sharply on any paper size and drop cleanly into worksheets, flashcards, and slides.