Multi-step story problems and leftovers

In 4th grade, children learn to solve word problems that take more than one step, using adding, subtracting, multiplying, and dividing; and to decide what a leftover remainder means in the story.

By Math teacher, parent, and founder of Bobby’s Math Club

Try these with your child

These are real questions from our 4th grade practice. Tap the speaker to hear one read aloud, or the light bulb for a hint, and talk about the answer together.

Question 1 of 3

A class of 28 students splits into 4 equal teams for a game. Then 2 new students join one of the teams. How many students are on that team now?

  • 9
  • 7
  • 30

Why this matters

Most real problems your child will meet take more than one step, like working out what four packs cost after a coupon, or how many cars a class trip needs. Planning the steps and checking that an answer makes sense are habits they will use every year from here on. Next year they meet the same kind of problems with fractions and decimals, and in middle school they write each step as an equation.

Where kids can get stuck

  • Stopping after the first step, answering 24 juice boxes when the question asks how many are left after 5 are drunk.
  • Giving a remainder answer that does not fit the story, like "4 vans with 3 left over" when 5 vans are needed.
  • Combining numbers from the problem with whatever operation comes to mind, before deciding what the question is asking.

How you can help

  1. Plan a pretend party together. Ask how many cupcakes to buy if 18 guests each eat 2, and boxes hold 8. Let your child work out 36 cupcakes, then 5 boxes, and explain why 4 boxes is not enough.
  2. Ask a remainder question while packing the car: "We have 22 water bottles and each bag holds 5. How many bags do we need?" Talk about why the 2 leftover bottles mean 5 bags, not 4.
  3. Use your child's allowance or chores. If they earn $3 a week and want a $20 toy, ask how many weeks they need to save, and talk about why the answer is 7 weeks, not 6.

If it’s helpful, you can sign up for free, adaptive practice in Bobby's Math Club.

Questions parents ask

Why is my child learning multistep word problems this way?

Teachers often ask children to estimate first, plan the steps, and then check whether the answer makes sense. This matters because in a problem with two or three steps, one small mix-up can lead to a wildly wrong answer. An estimate gives your child a way to catch it. Writing each step separately, or as one equation with a letter for the unknown, also helps them keep track of what each number means.

What does it mean to "interpret a remainder"?

It means deciding what the leftover amount means in the story. If 27 children ride in vans that hold 6, the answer is 5 vans, because the 3 extra children still need a seat. If 27 cookies are packed 6 to a box and only full boxes are sold, the answer is 4 boxes. If the question asks how many cookies are left over, the answer is the remainder itself, 3.

My child is good at arithmetic but struggles with word problems. How can I help?

This is very common. Word problems ask for reading and planning as much as calculating. Try asking your child to tell the story back in their own words before doing any math, and to say what the question is asking for. Acting out the story with small objects can also help. Over time, slowing down at the start often makes more difference than speeding up the arithmetic.

Make learning math fun

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Robert “Bobby” Barnett

Written by Robert “Bobby” Barnett

Bobby is an award-winning math teacher, the author of Meet Every Learner’s Needs, and the father of two elementary-school math learners. He uses Bobby’s Math Club with his own kids a few times every week. Learn more or contact Bobby.

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Note for teachers: This skill is covered by Common Core math standard 4.OA.A.3: “Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.” Learn how Bobby's Math Club can help your students grow. (Common Core 4.OA.3)