Multi-step math word problems for grades 5 and 6 (2024)

Multi-step math word problems for grades 5 and 6

Practice 5th and 6th grade math word problems that have more than one step. Includes answer key at the end.

Problem 1:

A Trip to the Store

Emily went to the store to buy supplies for her school's art project. She bought 4 packs of colored paper at $3 each, 5 packs of markers at $2 each, and 3 bottles of glue at $1 each. If she gave the cashier a $50 bill, how much change did she receive?

Problem 2:

Classroom Party

Ms. Johnson is organizing a classroom party. She buys 6 large pizzas, each cut into 8 slices. There are 24 students in her class. If each student gets the same number of slices, how many slices does each student get, and how many slices are left over?

Problem 3:

Book Fair

At a book fair, Jack bought 3 books. The first book cost $5, the second book cost twice as much as the first book, and the third book cost $3 less than the second book. How much did Jack spend in total?

Problem 4:

Baking Cookies

Sarah baked 5 batches of cookies, each batch with 12 cookies. She gave 1/3 of the cookies to her friends and kept the rest for her family. How many cookies did Sarah keep for her family?

Problem 5:

Gardening Project

Tom is planting flowers in his garden. He has 48 flowers and wants to plant them in 6 equal rows. Each row will be a different color. How many flowers will be in each row, and how many flowers of each color will he have?

Problem 6:

School Field Trip

A school bus can hold 45 students. There are 4 classes going on a field trip, each with 22 students. How many buses are needed to transport all the students?

Problem 7:

Saving Money

Liam wants to buy a new bicycle that costs $120. He saves $10 each week. After 5 weeks, his grandparents give him an additional $25. How many more weeks does Liam need to save to buy the bicycle?

Problem 8:

Sports Equipment

A sports store sells basketballs for $15 each and soccer balls for $12 each. If Michael buys 3 basketballs and 4 soccer balls, how much does he spend in total?

Problem 9:

Building a Fence

Rachel is building a fence around her rectangular garden. The garden is 10 meters long and 7 meters wide. How many meters of fencing does she need to buy if she also needs to cover an extra 5 meters for the gate?

Problem 10:

Classroom Supplies

A teacher bought 3 sets of pencils. Each set contains 12 pencils. She then bought 5 sets of notebooks, each set containing 4 notebooks. If she gave 2 pencils and 1 notebook to each student in her class, and she has 18 students, how many pencils and notebooks does she have left?

Answer Key

Answer 1:

Cost of colored paper: 4 packs * $3 = $12
Cost of markers: 5 packs * $2 = $10
Cost of glue: 3 bottles * $1 = $3
Total cost: $12 + $10 + $3 = $25
Change: $50 - $25 = $25

Answer 2:

Total slices of pizza: 6 pizzas * 8 slices = 48 slices
Slices per student: 48 slices / 24 students = 2 slices
Slices left over: 48 slices - (24 students * 2 slices) = 0 slices

Answer 3:

Cost of the first book: $5
Cost of the second book: $5 * 2 = $10
Cost of the third book: $10 - $3 = $7
Total cost: $5 + $10 + $7 = $22

Answer 4:

Total cookies: 5 batches * 12 cookies = 60 cookies
Cookies given to friends: 1/3 of 60 = 20 cookies
Cookies kept for family: 60 - 20 = 40 cookies

Answer 5:

Flowers per row: 48 flowers / 6 rows = 8 flowers
Flowers of each color: 8 flowers

Answer 6:

Total students: 4 classes * 22 students = 88 students
Number of buses needed: 88 students / 45 students per bus = 1.96 buses, so 2 buses are needed

Answer 7:

Total savings after 5 weeks: 5 weeks * $10 = $50
Total money after grandparents' gift: $50 + $25 = $75
Remaining amount needed: $120 - $75 = $45
Additional weeks needed: $45 / $10 per week = 4.5 weeks, so 5 more weeks are needed

Answer 8:

Cost of basketballs: 3 basketballs * $15 = $45
Cost of soccer balls: 4 soccer balls * $12 = $48
Total cost: $45 + $48 = $93

Answer 9:

Perimeter of the garden: 2 * (10 meters + 7 meters) = 34 meters
Total fencing needed: 34 meters + 5 meters = 39 meters

Answer 10:

Total pencils: 3 sets * 12 pencils = 36 pencils
Total notebooks: 5 sets * 4 notebooks = 20 notebooks
Pencils given to students: 18 students * 2 pencils = 36 pencils
Notebooks given to students: 18 students * 1 notebook = 18 notebooks
Pencils left: 36 pencils - 36 pencils = 0 pencils
Notebooks left: 20 notebooks - 18 notebooks = 2 notebooks

Multi-step math word problems for grades 5 and 6 (2024)

FAQs

What are multi-step word problems? ›

Multi-step word problems are math problems that have more than one operation. An operation is addition, subtraction, multiplication, or division. Multi-step word problems can have any combination of these operations.

What is an example of a multiplication word problem? ›

Example of a multiplication word problem

She has invited 10 friends and they will have three chocolates in their bag. How many chocolates will Amy need altogether? We therefore need to multiply, or use repeated addition, to times 10 by 3 to solve the problem.

What are some multi step equations? ›

An example of a multi-step equation would be: 6(x - 2) + 14 = 26. First, distribute the 6 to the equation in the parentheses due to the order of operations: 6x - 12 + 14 = 26. Then, combine like terms: 6x + 2 = 26. Next, subtract 2 from both sides: 6x = 24.

What is the best strategy to solve a multi-step word problem? ›

Step 1: Circle and underline. Circle only the necessary information and underline what ultimately needs to be figured out. Step 2: Figure out the first step/problem in the paragraph and solve it. Last step: Find the answer by using the information from Steps 1 and 2.

What is an example of a multiplication problem? ›

Multiplication is used to simplify the task of repeated addition of the same number. It is used when we need to combine groups of equal sizes. For example, if 5 baskets contain 4 apples each, then to find the total number of apples we can use multiplication and solve it as 5 × 4 = 20 apples.

What is an example of a math word problem? ›

A simple example of a math word problem is, "If Becky has 7 apples and gives 2 away, how many apples does she have left?" An example of a more complex word problem featuring algebra is, "Ben is three times as old as John. The sum of their ages is 40 years.

What are key words for multiplication word problems? ›

Words that signal multiplication:
  • Product.
  • Times.
  • Multiplied by.
  • Doubled, tripled, etc.
  • Times as much.
  • Percent of.
  • Of.
  • Interest on.

What are 3 techniques you use to solve word problems? ›

3 Word Problem Solving Strategies To Improve Word Problem...
  • Comprehend the action or context of a word problem.
  • Understand the question or missing piece of information.
  • Develop a mathematically sound plan for solving for the missing information.
  • Accurately calculate to find their solution.

Why do students struggle with multi step word problems? ›

Sometimes, students struggle with word problems because they don't know where to start. Just reading the problem can be the first hurdle. If early-elementary schoolers don't have the reading skills to decode the words, or if they don't know some of the vocabulary, they'll struggle, said McNeil.

How do you solve multi step questions? ›

Solving Multi Step Equations
  1. Apply distributive property when you have a parenthesis.
  2. Combine like terms (if any).
  3. Collect like terms to one side of the equation. i.e., collect variable terms on the left side and the constants on the right side (or vice versa).
  4. Isolate the variable by inverse operations.

What is an example of a word problem? ›

A simple example of a math word problem is, "If Becky has 7 apples and gives 2 away, how many apples does she have left?" An example of a more complex word problem featuring algebra is, "Ben is three times as old as John. The sum of their ages is 40 years.

What are the four basic operations with multi step problems? ›

Students use the 4 basic operations (addition, subtraction, multiplication and division) to solve these word problems. Some questions will have more than one step. Mixing word problems encourages students to read and think about the questions rather than recognizing a pattern to the solutions.

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