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## 120 Math Word Problems To Challenge Students Grades 1 to 8

Engage and motivate your students with our adaptive, game-based learning platform!

- Teaching Tools
- Subtraction
- Multiplication
- Mixed operations
- Ordering and number sense
- Comparing and sequencing
- Physical measurement
- Ratios and percentages
- Probability and data relationships

A jolt of creativity would help. But it doesn’t come.

There are 120 examples in total.

The list of examples is supplemented by tips to create engaging and challenging math word problems.

## 120 Math word problems, categorized by skill

Best for: 1st grade, 2nd grade

## Subtraction word problems

Best for: 1st grade, second grade

## Practice math word problems with Prodigy Math

## Multiplication word problems

Best for: 2nd grade, 3rd grade

## Division word problems

Best for: 3rd grade, 4th grade, 5th grade

## Mixed operations word problems

## Ordering and number sense word problems

33. Composing Numbers: What number is 6 tens and 10 ones?

## Fractions word problems

Best for: 3rd grade, 4th grade, 5th grade, 6th grade

## Decimals word problems

Best for: 4th grade, 5th grade

## Comparing and sequencing word problems

Best for: Kindergarten, 1st grade, 2nd grade

53. Comparing 1-Digit Integers: You have 3 apples and your friend has 5 apples. Who has more?

54. Comparing 2-Digit Integers: You have 50 candies and your friend has 75 candies. Who has more?

## Time word problems

## Money word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade, 5th grade

## Physical measurement word problems

Best for: 1st grade, 2nd grade, 3rd grade, 4th grade

## Ratios and percentages word problems

Best for: 4th grade, 5th grade, 6th grade

## Probability and data relationships word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade

## Geometry word problems

Best for: 4th grade, 5th grade, 6th grade, 7th grade, 8th grade

99. Understanding 2D Shapes: Kevin draws a shape with 4 equal sides. What shape did he draw?

102. Understanding 3D Shapes: Martha draws a shape that has 6 square faces. What shape did she draw?

## Variables word problems

Best for: 6th grade, 7th grade, 8th grade

## How to easily make your own math word problems & word problems worksheets

- Link to Student Interests: By framing your word problems with student interests, you’ll likely grab attention. For example, if most of your class loves American football, a measurement problem could involve the throwing distance of a famous quarterback.
- Make Questions Topical: Writing a word problem that reflects current events or issues can engage students by giving them a clear, tangible way to apply their knowledge.
- Include Student Names: Naming a question’s characters after your students is an easy way make subject matter relatable, helping them work through the problem.
- Be Explicit: Repeating keywords distills the question, helping students focus on the core problem.
- Test Reading Comprehension: Flowery word choice and long sentences can hide a question’s key elements. Instead, use concise phrasing and grade-level vocabulary.
- Focus on Similar Interests: Framing too many questions with related interests -- such as football and basketball -- can alienate or disengage some students.
- Feature Red Herrings: Including unnecessary information introduces another problem-solving element, overwhelming many elementary students.

## Final thoughts about math word problems

## Mathematical Word Problems

## Word Problems

Solve a word problem and explore related facts.

## Solve a word problem:

## K-5 Math Centers

K-5 math ideas, 3rd grade math, need help organizing your k-5 math block, math problem solving 101.

## Read the Problem Without Numbers & Ask Questions:

After reading the problem (without numbers) to the students, I asked the following questions:

- Can you describe what is happening in your own words?
- What is the main idea of the problem?
- How could you act this out?

## Make a Plan & Ask Questions:

- Sample Answers include- We know that Kai has some goldfish. Kai donated or gave away some of the goldfish.
- Sample Answers include – We need to know how many goldfish Kai has. We also need to know how many he gave anyway. We also need to know how many bowls there are.
- Sample Answers include- We need to find out how many fish belong in each bowl.

## Team Work Counts

## Benefits to Using this Process:

- Students understood what the problem is asking them to do
- Students are required to think and communicate as a team
- Students avoid making errors that can come with only using keywords
- Students are required to record their math reasoning using the problem solving template
- After using this process a couple of times, students get used to explaining and justifying their answers
- You become the facilitator of the learning by asking more questions, thereby making students independent thinkers

## Things to Consider Include:

- This process in NOT quick. It requires TIME. You should not rush the process and expect to have it completed in 20 – 30 minutes in one day.
- This process is not a one time lesson. Students may not get it the first time. It should be seen a routine that can be used when solving word problems.

Be sure to let me know how this process works in your classroom in the comments below.

## You might also like...

## Reflect and Reset: Tips for Becoming a Better Math Teacher

## Student Math Reflection Activities That Deepen Understanding

## 5 Math Mini-Lesson Ideas that Keep Students Engaged

## A Rigorous Elementary Math Curriculum for Busy Teachers

## What We Offer:

## Math Problem Solving Strategies

## Problem Solving Strategies

The strategies used in solving word problems:

## Solving Word Problems

## Problem Solving Strategy: Guess And Check

Using the guess and check problem solving strategy to help solve math word problems.

## Problem Solving : Make A Table And Look For A Pattern

- Identify - What is the question?
- Plan - What strategy will I use to solve the problem?
- Solve - Carry out your plan.
- Verify - Does my answer make sense?

## Find A Pattern Model (Intermediate)

a) The number of dots required for 7 rectangles is 52.

b) If the figure has 73 dots, there would be 10 rectangles.

The number of dots for 7 layers of triangles is 36.

Example: The following figures were formed using matchsticks.

a) Based on the above series of figures, complete the table below.

b) How many triangles are there if the figure in the series has 9 squares?

c) How many matchsticks would be used in the figure in the series with 11 squares?

Total = 6 + 5 + 4 + 3 + 2 + 1 = 21 handshakes.

## The following are some other examples of problem solving strategies.

Finding A Pattern (Basic) Finding A Pattern (Intermediate) Finding A Pattern (Advanced)

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## Get a collection of FREE MATH RESOURCES for your grade level!

Elementary math word problem key words and their limitations.

This blog post will answer the following questions:

- What are word problem key words?
- What are some examples of keywords for addition word problems?
- Can you share some examples of keywords for subtraction word problems?
- What are some examples of keywords for multiplication word problems?
- Can you share some examples of keywords for division word problems?
- What are the limitations of using keywords to solve word problems?
- Is using word problem keywords an effective strategy?

## What are Word Problem Key Words?

## Common Math Word Problem Key Words and Phrases

## Addition Key Words

Here are some examples of addition key words :

## Subtraction Key Words

Here are some examples of subtraction key words :

## Multiplication Key Words

Here are some examples of multiplication key words :

## Division Key Words

Here are some examples of division key words :

## Limitations of Using Keywords to Solve Word Problems

## Math Resources for 1st-5th Grade Teachers

## Free Elementary Math Resources

Check out my monthly word problem resources !

- 1st Grade Word Problems
- 2nd Grade Word Problems
- 3rd Grade Word Problems
- 4th Grade Word Problems
- 5th Grade Word Problems

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## LET'S CONNECT

I created Clutter-Free Classroom to support busy elementary teachers like you!

## FREEBIES FOR TEACHERS

Join the 75,000+ elementary teachers who receive free resources from us each week.

© Jodi Durgin | Clutter-Free Classroom, LLC • Website by KristenDoyle.co

## Winter Opinion Writing FREEBIE!

## Problem Solving Strategies

## Pólya’s How to Solve It

- First, you have to understand the problem.
- After understanding, then make a plan.
- Carry out the plan.
- Look back on your work. How could it be better?

- What if the picture was different?
- What if the numbers were simpler?
- What if I just made up some numbers?

This brings us to the most important problem solving strategy of all:

## Problem 2 (Payback)

## Think/Pair/Share

Watch the solution only after you tried this strategy for yourself.

## Problem 3 (Squares on a Chess Board)

## Think / Pair / Share

- Describe all of the patterns you see in the table.
- Can you explain and justify any of the patterns you see? How can you be sure they will continue?
- What calculation would you do to find the total number of squares on a 100 × 100 chess board?

## Problem 4 (Broken Clock)

- What is the sum of all the numbers on the clock’s face?
- Can I find two consecutive numbers that give the correct sum? Or four consecutive numbers? Or some other amount?
- How do I know when I am done? When should I stop looking?

## 5 Strategies to Learn to Solve Math Word Problems

## Signs of Students Struggling with Math Word Problems

## How to Help Students Solve Math Word Problems

Focus on math keywords and mathematical key phrases.

## Cross out Extra Information

## Encourage Asking Questions

## Draw the Problem

## Check Back Once They Answer

## Mnemonic Devices

## CUBES Word Problem Strategy

Cubes is a mnemonic to remember the following steps in solving math word problems:

S: Solve the problem & show your work

## RISE Word Problem Strategy

Rise is another way to explain the steps needed to solve problems:

I: Illustrate what is being asked

S: Solve by writing your equation or number sentences

## COINS Word Problem Strategy

N: Write the number sentence (equation)

## Understand -Plan – Solve – Check Word Problem Strategy

Understand: What is the question asking? Do you understand all the words?

Check: Students will ask themselves if they answered the question and if their answer makes sense.

## Share This Story, Choose Your Platform!

## Leave A Comment Cancel reply

Math teaching support you can trust

## [FREE] Fun Math Games and Activities Packs for Kindergarten to Grade 5

Ready to go, printable packs that teachers can use in the classroom.

## Word Problems Explained For Elementary School Parents & Teachers

## Sophie Bartlett

## What is a word problem?

## Isn’t brilliant arithmetic enough?

## To support this schools are adopting a ‘mastery’ approach to math

“Teaching for mastery”, is defined with theses component:

- Math teaching for mastery rejects the idea that a large proportion of people ‘just can’t do math’.
- All students are encouraged by the belief that by working hard at math they can succeed.
- Procedural fluency and conceptual understanding are developed in tandem because each supports the development of the other.
- Significant time is spent developing deep knowledge of the key ideas that are needed to support future learning. The structure and connections within the mathematics are emphasized, so that students develop deep learning that can be sustained.

(The Essence of Maths Teaching for Mastery, 2016)

## Mastery helps children to explore math in greater depth

## How to teach children to solve word problems?

Here are two simple strategies that can be applied to many word problems before solving them.

Let’s see how this can be applied to word problems to help achieve the answer.

## Solving a simple word problem

There are 28 students in a class.

The teacher has 8 liters of orange juice.

She pours 225 milliliters of orange juice for every student.

How much orange juice is left over?

- There are 1,000ml in 1 liter
- Pours = liquid leaving the bottle = subtraction
- For every = multiply
- Left over = requires subtraction at some point

2. How can this problem be drawn/represented pictorially?

Read more: What is a bar model

## Solving a more complex, mixed word problem

She buys one book for $6.99 and another that costs $3.40 more than the first book.

What change does Mara get? (What is the remainder?)

- More than = add
- Using decimals means I will have to line up the decimal points correctly in calculations
- Change from money = subtract

See this example of bar modelling for this question:

Now to put the math to work using what we already know and what we’ve drawn to break down the steps.

What change does Mara get? 2) $20 – $17.38 = $2.62

## Math Word Problems For Kindergarten to Grade 5

## Word problems in kindergarten

An example of a word problem for kindergarten would be

Chris has 3 red bounce balls and 2 green bounce balls. How many bounce balls does Chris have in all?

## Word problems 1st grade

An example of a word problem for first grade would be:

## Word problems in 2nd grade

Second grade word problem: Geometry properties of shape

Shaun is making shapes out of plastic straws.

At the vertices where the straws meet, he uses blobs of modeling clay to fix them together

Here are some of the shapes he makes:

One of Sean’s shapes is a triangle. Which is it? Explain your answer.

Answer: shape B as a triangle has 3 sides (straws) and 3 vertices, or angles (clay)

## Second grade word problem: Statistics

## Word problems in 3rd grade

## 3rd grade word problem: Number and place value

My number has four digits and has a 7 in the hundreds place.

The digit which has the highest value in my number is 2.

The digit which has the lowest value in my number is 6.

My number has 3 fewer tens than hundreds.

## Word problems in 4th grade

## Fourth grade word problem: Fractions and decimals

Stan, Frank and John are washing their cars outside their houses.

Stan has washed 0.5 of his car.

Frank has washed 1/5 of his car.

Norm has washed 2/5 of his car.

Answer: Stan (he has washed 0.5 whereas Frank has only washed 0.2 and Norm 0.4)

## Word problems in 5th grade

Here are some examples of the types of math word problems in fifth grade will have to solve.

## 5th grade word problem – Ratio and proportion

The Angel of the North is a large statue in England. It is 20 meters tall and 54 meters wide.

## Fifth grade word problem – Algebra

Amina is making designs with two different shapes.

Calculate the value of each shape.

## Fifth grade word problem: Measurement

## Topic based word problems

## Place value word problem fourth grade

Download free number and place value word problems for grades 2, 3, 4 and 5

## Addition and subtraction word problem grade 2

Download free addition and subtraction word problems for for grades 2, 3, 4 and 5

## Addition word problem grade 2

## Subtraction word problem fifth grade

## Multiplication word problem third grade

Download free multiplication word problems for grades 2, 3, 4 and 5.

## Division word problem fifth grade

Download free division word problems for grades 2, 3, 4 and 5.

## Fraction word problem fourth grade

Download free fractions and decimals word problems for grades 2, 3, 4 and 5.

## Money word problem second grade

## Area word problem 3rd grade

A rectangle measures 6cm by 5cm.

What is its area? Answer: 30cm2

## Perimeter word problem 3rd grade

## Ratio word problem 5th grade (crossover with measurement)

## PEMDAS word problem fifth grade

## Volume word problem fifth grade

## Remember: The word problems can change but the math won’t

The activities are designed to be fun, flexible and suitable for a range of abilities.

## IMAGES

## VIDEO

## COMMENTS

Subtraction word problems ... 9. Subtracting to 10: There were 3 pizzas in total at the pizza shop. A customer bought 1 pizza. How many pizzas are

Solve a word problem: · Rachel has 17 apples. · Jack has 8 cats and 2 dogs. · if there are 40 cookies all together and A takes 10 and B takes 5 how many are left.

If students are still having problems, I would strongly recommend having students quickly act some of these problems out. Sometimes students are so focused on

Problem Solving : Make A Table And Look For A Pattern ... Example: Marcus ran a lemonade stand for 5 days. On the first day, he made $5. Every day after that he

Include both routine and nonroutine problems in problem-solving activities. • Ensure that students will understand the problem by addressing issues students

Identifying word problem key words is one of many strategies elementary students can use to help them solve single and multi-step word problems. Additionally

Subscribe Now:http://www.youtube.com/subscription_center?add_user=ehoweducationWatch More:http://www.youtube.com/ehoweducationA five-step

Think / Pair / Share · What is the sum of all the numbers on the clock's face? · Can I find two consecutive numbers that give the correct sum? Or four consecutive

5 Strategies to Learn to Solve Math Word Problems · Cross out Extra Information. Along with highlighting important keywords students should also

A word problem in math is a math question written as one sentence or more that requires children to apply their math knowledge to a 'real-life' scenario. This