Introduction
Multistep Word Problems is an important Grade 4 math skill because students are moving from simple answers toward explaining how the math works.
In this lesson, students use models, real questions, worked examples, practice problems, and two online quizzes to build confidence with multistep word problems.
What Is Multistep Word Problems?
Multistep Word Problems means choosing a model, naming what each number means, and explaining the strategy.
The goal is not only to get the answer. Students should be able to show the idea, explain the strategy, and check whether the answer makes sense.
Understanding Multistep Word Problems
Before solving, students should slow down and decide what each number, shape, unit, or label represents.
- Read the question carefully and identify what is being asked.
- Choose a model, equation, table, or diagram that matches the situation.
- Solve one step at a time and keep units or labels attached.
- Use the answer explanation to check that the result makes sense.
Visual Models
Visual Model 1
Question: A store arranges \(5\) boxes of balls. If there are \(55\) balls total, how many balls are in each box?
- A. \(9\)
- B. \(12\)
- C. \(10\)
- D. \(11\) balls
Why it works: The diagram shows \(5\) equal boxes holding \(55\) balls in all---"equal groups" is a division signal. Step 1: set up the division: \(55 \div 5\). Step 2: solve: \(55 \div 5 = 11\) balls per box. Quick check: \(5 \times 11 = 55\). \checkmark
Answer: \(11\) balls
Visual Model 2
Question: A farmer has \(72\) apples. He puts them equally into \(8\) baskets. Then he adds \(4\) apples to each basket. How many apples are in each basket now?
- A. \(12\)
- B. \(14\)
- C. \(13\)
- D. \(15\)
Why it works: Follow the flow chart! Step 1: \(72 \div 8 = 9\) apples in each basket. Step 2: add \(4\) more to each basket: \(9 + 4 = 13\) apples per basket now.
Answer: \(13\) apples
Worked Examples
Example 1
Question: The table shows books in each grade. If they combine all books and divide equally among \(9\) classrooms, how many books does each classroom get?
- A. \(7\)
- B. \(9\)
- C. \(8\)
- D. \(6\)
- Read the table for the totals, then combine.
- Step 1: \(18 + 24 + 30 = 72\) books in all.
- Step 2: share among \(9\) classrooms: \(72 \div 9 = 8\) books each.
Answer: \(8\) books
Example 2
Question: A store buys \(7\) guitars at \($6\) each. How much does the store spend in total?
- A. \($36\)
- B. \($48\)
- C. \($42\)
- D. \($50\)
- The tape diagram shows \(7\) guitars at \($6\) each---"each" with a count is a multiplication clue.
- Step 1: set up: \(7 \times $6\).
- Step 2: solve: \(7 \times 6 = 42\), so the store spends \($42\).
- Quick check: \($42 \div 7 = $6\) per guitar. \checkmark
Answer: \($42\)
Example 3
Question: A library has \(8\) shelves. Each shelf holds \(45\) books. The librarian removes \(72\) books to repair them. How many books are left on the shelves?
- A. \(360\)
- B. \(432\)
- C. \(217\)
- D. \(288\)
- Two steps!
- Step 1: find the total books on the shelves. \(8\) shelves \(\times 45\) books = \(360\) books.
- Step 2: take out the books being repaired. \(360 - 72 = 288\) books left on the shelves.
Answer: \(288\) books
Real-World Word Problems
Problem 1
Question: Ava buys \(3\) boxes of markers. Each box has \(12\) markers. She also buys \(6\) loose markers. How many markers does she have in total?
- A. \(30\)
- B. \(36\)
- C. \(18\)
- D. \(42\)
Why it works: Two steps! Step 1: find how many markers are in the boxes. \(3\) boxes \(\times 12\) markers = \(36\). Step 2: add the loose markers: \(36 + 6 = 42\) markers in total.
Answer: \(42\) markers
Problem 2
Question: Diego buys \(5\) packs of pens. Each pack has \(6\) pens. He also has \(4\) old pens. How many pens does he have altogether?
- A. \(30\)
- B. \(24\)
- C. \(34\)
- D. \(15\)
Why it works: Two steps! Step 1: find how many pens are in the packs. \(5 \times 6 = 30\). Step 2: add the old pens: \(30 + 4 = 34\) pens altogether.
Answer: \(34\) pens
Common Mistakes
- Rushing before identifying what the numbers represent.
- Choosing an operation that does not match the situation.
- Dropping labels, units, or context from the answer.
- Skipping the estimate or reasonableness check.
Strategy Tips
- Underline the question being asked.
- Use a model before jumping to computation.
- Write an equation that matches the story or picture.
- Explain the final answer in a sentence.
Practice Questions
Question 1
Sam has \(24\) stickers. He sorts them into \(4\) equal groups and keeps one group. Then he gets \(8\) more stickers. How many stickers does he have now?
- A. \(20\)
- B. \(16\)
- C. \(12\)
- D. \(14\)
Question 2
Ming has \(50\) cookies. She gives away \(14\) cookies. Then she puts the remaining cookies equally into \(4\) bags. How many cookies are in each bag?
- A. \(12\)
- B. \(11\)
- C. \(9\)
- D. \(8\)
Question 3
A store has \(100\) apples. They receive \(35\) more apples. Then they sell \(42\) apples. How many apples are left?
- A. \(65\)
- B. \(77\)
- C. \(135\)
- D. \(93\)
Question 4
Mia has \(7\) cups. Each cup holds \(8\) marbles. She loses \(15\) marbles. How many marbles does she have left?
- A. \(56\)
- B. \(49\)
- C. \(71\)
- D. \(41\)
Question 5
Noah has \(36\) coins. He sorts them into \(3\) equal groups and keeps one group. Then he spends \(5\) coins. How many coins does Noah have left?
- A. \(16\)
- B. \(12\)
- C. \(7\)
- D. \(31\)
Question 6
Kai has \(15\) toy cars. His mom gives him \(9\) more. He puts them all into \(4\) equal boxes. How many cars are in each box?
- A. \(8\)
- B. \(5\)
- C. \(9\)
- D. \(6\)
Full Answer Explanations Click to show all answers and explanations
Question 1
Answer: \(14\) stickers
Two steps! Step 1: equal groups means divide. \(24 \div 4 = 6\) stickers in the group Sam keeps. Step 2: add the new stickers: \(6 + 8 = 14\) stickers now.
Question 2
Answer: \(9\) cookies
Two steps! Step 1: find how many cookies are left after giving some away. \(50 - 14 = 36\) cookies. Step 2: equal bags means divide: \(36 \div 4 = 9\) cookies per bag.
Question 3
Answer: \(93\) apples
Two steps! Step 1: add the new shipment: \(100 + 35 = 135\) apples. Step 2: take away the ones sold: \(135 - 42 = 93\) apples left.
Question 4
Answer: \(41\) marbles
Two steps! Step 1: find the total marbles. \(7\) cups \(\times 8\) marbles = \(56\). Step 2: take away the lost marbles: \(56 - 15 = 41\) marbles left.
Question 5
Answer: \(7\) coins
Two steps! Step 1: equal groups means divide: \(36 \div 3 = 12\) coins in the group Noah keeps. Step 2: subtract what he spends: \(12 - 5 = 7\) coins left.
Question 6
Answer: \(6\) cars
Two steps! Step 1: find Kai's total cars. \(15 + 9 = 24\) cars. Step 2: equal boxes means divide: \(24 \div 4 = 6\) cars in each box.
Connection to Standards
This lesson supports Grade 4 math expectations for reasoning, modeling, problem solving, and explaining answers clearly. It connects classroom skills to the kind of questions students see on state math assessments.
Summary
Multistep Word Problems becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
GOLDEN RULE
Understand the model before choosing the operation.
