What is this skill?
A multi-step word problem needs more than one operation to solve. In fourth grade, children combine addition, subtraction, multiplication and division in a story: someone buys 6 books at $3 each and pays with a $20 bill, so the child must find the total cost (6 × $3 = $18) and then the change ($20 − $18 = $2). The question asks for the last step, but the first step is hidden.
The skill is planning. Children read the story, say what the question is asking, find the hidden question that has to be answered first, choose an operation for each step, and check that the final answer is reasonable. Equations with a letter or a box for the unknown, such as 6 × 3 = ?, help them record the plan. Estimation is part of this too, since rounding the numbers gives a quick check on the answer.
Why it matters
This is the kind of math adults actually do: working out change, comparing prices, planning for a group, tracking a budget. It also draws together everything a child has learned about the operations. Knowing how to compute is only half the job; knowing what to compute is the other half.
Multi-step problems build persistence and organization. A child learns to break a larger task into steps, keep track of the answer to each step, and come back to the original question. These are habits that matter in every school subject.
Common mistakes
- Stopping after the first step, so the answer to the total cost is given when the question asks for the change.
- Choosing the operation from a keyword, such as “left” meaning subtract, without thinking about the story.
- Combining the wrong numbers, such as subtracting the price from the payment before multiplying.
- Losing the units, so $18 is written as 18 and the story no longer makes sense.
- Skipping the check. A quick estimate often shows an answer is far too large or small.
How to help at home
- Use shopping trips. “We need 4 packs of juice boxes with 6 in each pack. We drink 5 today. How many are left?”
- Ask your child to retell the problem in their own words and say what is being asked before touching the numbers.
- Encourage a quick drawing or a bar model for each step.
- Have them write each step on its own line with a label, such as “total cost” or “change.”
- Make up story problems together using your own family details, and let your child write the answer key.
Worked examples
These are real questions from the Tutorsaurus multi-step word problems practice, with the answers worked out.
Example 1
Ava buys 6 books for $3 each and pays with $20. How much change?
Answer: 2 $. 6 × $3 = $18. $20 − $18 = $2.
Example 2
Kenji buys 3 packs of balloons with 9 in each pack, then uses 26. How many are left?
Answer: 1. 3 × 9 = 27. Then 27 − 26 = 1.
Example 3
Zoe buys 6 packs of apples with 6 in each pack, then uses 2. How many are left?
Answer: 34. 6 × 6 = 36. Then 36 − 2 = 34.