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Number bond worksheets — part, part, whole

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Number bonds

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A number bond shows a whole and the two parts it splits into: 7 is 4 and 3, and also 5 and 2. The diagram is simple, but it does something written sums do not: it shows addition and subtraction as two views of the same fact. A child who sees that 4 and 3 make 7 also sees that 7 take away 3 leaves 4.

Best for ages 5–8

How to get the most from these sheets

Begin with real objects: put seven buttons in a bowl and split them between two plates in as many ways as you can find.
For each diagram, ask for both the addition and the subtraction it shows. "3 and 4 make 7" and "7 minus 4 is 3" from the same picture.
Spend extra time on bonds to 10. They are the foundation of mental addition and appear in almost every later strategy.
At the 100 level, numbers are multiples of ten on purpose: 70 is 40 and 30 because 7 is 4 and 3. Make that link out loud.

Frequently asked questions

What are number bonds?

Pairs of numbers that make a given number, such as 6 and 4 for 10. Shown as a part-part-whole diagram, they connect addition and subtraction.

Why are number bonds to 10 so important?

Because most mental strategies go through ten: 8 + 5 becomes 8 + 2 + 3. A child who knows the pairs to 10 instantly calculates much faster and with less effort.

What age are these sheets for?

Within 10 from about 5, within 20 around 6 or 7, and the tens version (to 100) around 7 or 8.

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