๐Ÿ“– Word Problems

Turn real-life stories into math you can solve

โ† Back to Math Topics

A Plan for Every Problem

Word problems describe a situation in words. Your job is to find the hidden math. Use these four steps every time:

  1. Read carefully โ€” what is the question actually asking for?
  2. Find the important numbers and the action words (clue words).
  3. Choose an operation (+, โˆ’, ร—, รท) and write a number sentence.
  4. Solve, then check that your answer makes sense.

Clue Words

Certain words hint at which operation to use:

OperationClue words
โž• Addsum, total, altogether, combined, in all, more than
โž– Subtractdifference, fewer, less than, left, remain, how many more
โœ–๏ธ Multiplyproduct, times, each, per, groups of, double, twice
โž— Dividequotient, share, split, each group, per, half, average

โš ๏ธ Clue words are helpful, but always think about the story โ€” they don't work 100% of the time!

Worked Examples

One-step: Maya has 12 stickers and buys 9 more. How many now?
Clue word "more" โ†’ add: \(12 + 9 = 21\) stickers.
Multiplication: A box holds 6 cans. How many cans are in 7 boxes?
"each / groups of" โ†’ multiply: \(6 \times 7 = 42\) cans.
Two-step: Sam buys 3 pens at $2 each and pays with $10. How much change does he get?
Step 1 โ€” cost: \(3 \times 2 = 6\) dollars.
Step 2 โ€” change: \(10 - 6 = 4\) dollars.

Tips

  • Underline the question and circle the numbers.
  • Draw a quick picture or bar model if you're stuck.
  • Watch your units โ€” dollars, minutes, apples โ€” and label the answer.
  • Estimate first, then check your exact answer against the estimate.