Addition word problems

Read the story, picture it, then decide what to add. A bar model makes almost any addition word problem easy to see.

A 4-step plan for any word problem

  1. Read it twice. First for the story, then for the numbers and the question.
  2. Picture it. Draw dots, a number line or a bar model. Say what is happening in your own words.
  3. Write the number sentence and work it out: 24 + 17 = 41.
  4. Answer the question in words with the unit (41 children), and check it makes sense with an estimate.

See it: pictures to draw with your child

Copy these onto paper or a whiteboard. A quick sketch makes the idea concrete before any written method.

?24boys19girls
24 boys and 19 girls: the whole is unknown, so add. 24 + 19 = 43.
138had?got
Leo had 8 cards and now has 13: 8 + ? = 13. Count up 5.
?15Sam7Ana’s extra
Ana has 7 more than Sam’s 15: 15 + 7 = 22.

The kinds of addition word problems

TypeExampleNumber sentence
Add to (result unknown)5 birds sit on a wire. 3 more land. How many now?5 + 3 = ?
Put together (total unknown)12 red and 9 blue beads. How many beads?12 + 9 = ?
Add to (change unknown)Leo had 8 cards. Now he has 13. How many did he get?8 + ? = 13
Start unknownSome birds flew away: 4 flew off and 6 are left. How many at first?? − 4 = 6, so 6 + 4
Compare (more)Sam has 15 marbles. Ana has 7 more. How many does Ana have?15 + 7 = ?

The first two are the easiest and come first in grade 1. Change-unknown, start-unknown and compare problems are harder, because the story does not match the order of the number sentence. Children need lots of picture work with these.

Draw it as a bar model

Set the two parts. Choose whether the total or a part is the unknown.

A word about key words

Words like in all, altogether, total and more often mean add. But key words can mislead.

“Mia has 12 stickers. That is 5 more than Leo. How many does Leo have?” contains “more” but is a subtraction: 12 − 5 = 7.

So teach key words as clues, not rules. The real question is always: “Do I know the parts and need the whole?” If so, add. If you know the whole and one part, subtract (or count up).

Word problems grade by grade

Our addition practice builds the fact speed that makes word problems feel easy.

Two-step problems

From grade 2, problems often need two steps. “A bakery made 36 muffins in the morning and 28 in the afternoon. It sold 50. How many are left?” First add: 36 + 28 = 64. Then subtract: 64 − 50 = 14.

A bar model with three boxes helps children see both steps before they start.

Quiz: solve the word problems

Picture the story, then add.

Where this fits: addition step by step

  1. What is addition
  2. Counting on
  3. Addition on a number line
  4. Addition within 10
  5. Make 10
  6. Doubles
  7. Properties of addition
  8. Adding three numbers
  9. Addition within 20
  10. Adding tens and hundreds
  11. 2-digit addition
  12. Partial sums
  13. Addition with regrouping
  14. Estimating sums
  15. 3-digit addition
  16. Addition word problems (this page)

What to say to your child

A short script for teaching it the first time. Pause after each line and let your child do the next step.

  1. “Listen: 12 red beads and 9 blue beads. How many beads? What do we know?” (12 red and 9 blue.)
  2. “What do we need to find?” (All the beads together.)
  3. “Let’s draw a bar: a part for red, a part for blue, and the whole on top.”
  4. “Parts known, whole unknown, so we add. 12 + 9?” (21.)
  5. “Say the answer as a sentence.” (There are 21 beads.)

More worked examples

Example 1: grade 1, put together

“7 dogs and 6 cats are at the vet. How many animals?” 7 + 6 = 13. There are 13 animals.

Example 2: grade 2, change unknown

“Priya had 28 shells. After the beach she had 45. How many did she find?” 28 + ? = 45. Count up: 28 → 30 is 2, 30 → 45 is 15, so 17 shells.

Example 3: grade 3, two steps

“A farm has 126 hens and 87 ducks. It buys 50 more hens. How many birds now?” 126 + 87 = 213, then 213 + 50 = 263 birds.

Example 4: grade 4, large numbers

“A stadium sold 3,456 tickets on Friday and 4,289 on Saturday. How many tickets?” 3,456 + 4,289 = 7,745 tickets.

Practice questions (answers below)

Ask these out loud or write them down. Check each answer, and ask “how did you get that?” for one or two.

  1. 4 frogs are on a log. 5 more hop on. How many frogs?
  2. 8 red cars and 7 blue cars. How many cars?
  3. Tom has 9 stickers. He gets some more and now has 14. How many did he get?
  4. Anu has 23 crayons. Raj has 8 more than Anu. How many does Raj have?
  5. 35 children are in the hall and 27 more come in. How many children?
  6. A train has 148 people. At the station 75 get on. How many now?
  7. 3 + 6 + 4 pencils in three boxes. How many pencils?
  8. A library lent 256 books in May and 318 in June. How many books?
  9. Some birds flew away: 6 flew and 9 stayed. How many were there at first?
  10. Stretch: a shop had 245 pens, got 180 more and sold 100. How many now?
Show the answers
  1. 9 frogs
  2. 15 cars
  3. 5 stickers
  4. 31 crayons
  5. 62 children
  6. 223 people
  7. 13 pencils
  8. 574 books
  9. 15 birds
  10. 325 pens

Common mistakes

Adding every number in the storyAdds a number that was not needed, like a date or a price of something else.Fix: underline the question first, then find only the numbers it needs.
Trusting key words blindlySees “more” and adds when the story needs subtraction.Fix: draw a bar model and ask: do I know the whole or a part?
No units or sentenceWrites 43 without saying 43 what.Fix: finish with a full answer: “There are 43 children.”

How to teach it at home

Story time sums

Make up quick stories with your child’s toys: “3 dinosaurs and 4 more come…”

Child as author

Let your child invent a word problem for you, then swap roles.

Real totals

Add things you actually count: shoes at the door, plates for guests, pages read this week.

By grade

Worksheets and practice

Last reviewed

Questions parents ask

How do you solve addition word problems?

Read the problem twice, draw a picture or bar model, write the number sentence, then answer in a full sentence with the unit.

What are the key words for addition?

In all, altogether, total, sum, both and more often mean add. Treat them as clues, not rules, because “more” can also appear in subtraction problems.

What is a bar model?

A bar model draws the parts as boxes side by side with the whole above. If the parts are known and the whole is not, you add.

How do I help my child with word problems?

Ask them to retell the story in their own words and draw it before doing any maths. Then ask: do we know the parts or the whole?

What grade starts addition word problems?

Kindergarten solves simple stories within 10. Grade 1 solves word problems within 20 (1.OA.A.1), and they grow harder each year.