These number bonds worksheets print in 21 formats: choose which circle is blank, where the whole sits and how many bonds fill the page. Wholes run from 2 to 20, and every sheet prints with its answer key.
Read the full guide
Which number bonds worksheet to print first
Start with Missing whole: both parts are printed, so it is plain addition in a new picture. Then Missing part, then Missing part or whole, where pupils must check which circle is empty. Both parts missing comes last, because any pair is right.
Circles, bars and number sentences
Bar model draws the same 3 numbers as bars to scale, and Bond beside bar sets the two pictures side by side. Bond with fact family adds 4 lines under each bond, so one picture of 3, 7 and 10 becomes 2 additions and 2 subtractions.
Turned bonds shows who reads the picture and who reads the position. The whole is the circle with 2 lines.
For one fact set, pick One whole, every pair in order: 8 on top, 9 bonds, a full page.
Questions and answers
Is there a number bonds worksheets PDF?
You make it yourself, with no download: press Print, then choose Save as PDF in your browser's print window. The file holds the sheet as page 1 and the answer key as page 2, and both pages carry the same short sheet code.
What does the answer key show?
Page 2 repeats the sheet with every empty circle filled in. For Both parts missing it lists every pair that makes each whole. For Make ten inside it rings the 2 parts that make 10.
Which grades do the formats suit?
Kindergarten to grade 2. Common Core kindergarten splits numbers up to 10 into pairs (K.OA.3). First grade meets 8 + ? = 11 (1.OA.8) and word problems that add 3 numbers, with a total of 20 or less (1.OA.2): the sentence and three-part formats fit there.
All 21 worksheet formats
Which circle is blank 5
Both parts missingOnly the whole is printed. Any pair that makes it is right, so the key lists every pair for each whole. Each whole is printed twice, and the second bond asks for a different pair: the Common Core example is 5 = 2 + 3 and 5 = 4 + 1 (K.OA.3).
Missing partThe whole and one part are printed and the other part is an empty circle. The given part sits on the left or the right at random. Wholes 2 to 10 give 34 different pairs, so a 12-bond sheet never prints a pair twice.
Missing part or wholeEach bond hides 1 of its 3 circles in turn, so about 1 bond in 3 asks for the whole. The pupil has to see which circle is empty before deciding whether to add or to find the partner.
Missing wholeBoth parts are printed and the top circle is empty, so each bond is plain addition drawn as a picture. The easiest blank and the one to print first. 34 pairs with wholes 2 to 10.
One whole, every pair in orderA ladder: the whole is the same on every bond and the given part climbs 0, 1, 2 and so on, so the answers count down. The whole is 8: its 5 pairs, asked both ways round, fill a 9-bond page exactly, from 0 and 8 to 8 and 0.
Show all 21 worksheet formats (16 more)
Where the whole sits 5
Bar modelOne long bar for the whole sits over 2 shorter bars for the parts, drawn to scale, so the 7 bar is plainly longer than the 3 bar. One bar has no number. Zero is left out, because a bar of no length cannot be drawn: 25 pairs.
Bond beside barThe three-circle bond is printed complete and an empty bar model sits beside it. The pupil copies the same 3 numbers into the bars, whole on the long one. 6 to a page, for the week a class moves from circles to bars.
Turned bondsEach bond on the sheet is turned a different way: whole on top, at the bottom, at the left or at the right. The clue that never changes is the lines. The whole is the circle with 2 lines, and each part has 1.
Whole at the bottomThe 2 parts sit on top and the lines run down to the whole, the way a stacked sum runs down to its answer. Any 1 of the 3 circles may be empty.
Whole at the sideThe whole sits on the left and its parts on the right, so the bond reads as 9 = 4 + 5 with the single number first. The Common Core asks first grade to judge equations written that way round, such as 7 = 8 − 1 (1.OA.7).
Bond plus number sentence 5
Bond with addition sentenceUnder each bond is one line to finish, part plus part equals whole. The pupil fills the empty circle first, then writes the bond as an addition with the whole last. 9 bonds a page leaves room for the writing line.
Bond with fact family4 lines under each bond, 2 additions and 2 subtractions from the same 3 numbers: 3 + 7 = 10, 7 + 3 = 10, 10 − 7 = 3 and 10 − 3 = 7. Doubles are left out, because 4 and 4 gives only 2 different sentences. 20 pairs, 6 bonds a page.
Bond with subtraction sentenceThe line under each bond is a subtraction, and the whole goes first. The Common Core treats subtraction as finding an unknown part: 10 − 8 is the number that makes 10 when added to 8 (1.OA.4).
Number sentence to bondThe other way round: a finished sentence such as 9 − 4 = 5 is printed and all 3 circles are empty. The pupil has to find the whole before writing anything. It comes last in an addition and first in a subtraction.
Unknown-number sentence with bondEach problem is an equation with a blank where a number should be, under an empty bond to work it out in. The Common Core example for first grade is 8 + ? = 11 (1.OA.8). Wholes 11 to 18 with one-digit parts: 20 pairs.
Three parts 4
Make ten insideEvery set of 3 parts hides a pair that makes 10, so there is always a quick way: 2 + 6 + 4 = 2 + 10 = 12, the Common Core example of adding in a handy order (1.OA.3). The whole is missing, and the key rings the pair of 10.
Three one-digit parts, wholes 11 to 20All 3 parts are printed, each a one-digit number, and the whole is missing: a 3-number addition with a total from 11 to 20. Common Core first grade solves word problems that add 3 numbers, with a total of 20 or less (1.OA.2). 111 different sets of parts.
Three parts that make 10Every bond has 10 on top and 3 parts below, 1 of them missing. Without a zero there are 8 ways to do it, from 1, 1 and 8 to 3, 3 and 4. Texas asks first grade to compose 10 with two or more addends (1.3(C)).
Three parts, wholes to 10The whole splits into 3 circles instead of 2, and 1 of the 3 parts is missing. Add the 2 parts you can see, then find what is left: with 2 and 3 showing under 9, 2 + 3 = 5 and 9 − 5 = 4. 31 different sets of 3 parts.
Bonds per page 2
Full page, 20 bonds20 bonds, 4 across and 5 down, with wholes from 2 to 20 and any circle missing: 119 different pairs to draw from. A review page for second grade, when the Common Core wants the sums of 2 one-digit numbers known from memory (2.OA.2).
Large print, 6 bonds6 bonds a page, 2 across and 3 down, with circles wide enough for a kindergarten hand to write 10 in. Cut along the gaps and the same sheet is 6 cards.
How this list was compiled: Own work: every pair count and every count of 3-part sets was computed by script and re-derived a second way on 2026-09-19. Definition of a number bond and the picture of at least 3 circles joined by lines, whole joined to its parts: Wikipedia, Number bond, https://en.wikipedia.org/wiki/Number_bond (checked 2026-09-19). Grade anchors read in the full standards texts on 2026-09-19: Common Core State Standards for Mathematics, CCSSO copy, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf; Texas Essential Knowledge and Skills, 19 TAC chapter 111 subchapter A, https://tea.texas.gov/sites/default/files/ch111a.pdf; National curriculum in England, mathematics programmes of study, https://www.gov.uk/government/publications/national-curriculum-in-england-mathematics-programmes-of-study/national-curriculum-in-england-mathematics-programmes-of-study (year 1 and year 2 number bonds lines, checked 2026-09-19). Lines quoted here: CCSS K.OA.1, K.OA.2, K.OA.3, 1.OA.2 (word problems that call for addition of three whole numbers whose sum is less than or equal to 20; read again in the same file on 2026-09-20), 1.OA.3, 1.OA.4, 1.OA.6, 1.OA.7, 1.OA.8, 2.OA.2; TEKS K.2(I), 1.3(C), 1.3(D), 1.5(E), 1.5(F), 1.5(G), 2.4(A). The standards texts and the Wikipedia articles named here were read again on 2026-10-03. Licence: own work