Practice with word problems

1. A
The ratio between black and blue pens is 7 to 28 or 7:28. Bring to the lowest terms by dividing both sides by 7 gives 1:4.

2. A
At 100% efficiency 1 machine produces 1450/10 = 145 m of cloth.
At 95% efficiency, 4 machines produce 4 * 145 * 95/100 = 551 m of cloth.
At 90% efficiency, 6 machines produce 6 * 145 * 90/100 = 783 m of cloth.
Total cloth produced by all 10 machines = 551 + 783 = 1334 m
Since the information provided and the question are based on 8 hours, we did not need to use time to reach the answer.

3. D

The turnout at polling station A is 945 out of 1270 registered voters. So, the percentage turnout at station A is:

(945/1270) × 100% = 74.41%

The turnout at polling station B is 860 out of 1050 registered voters. So, the percentage turnout at station B is:

(860/1050) × 100% = 81.90%

The turnout at polling station C is 1210 out of 1440 registered voters. So, the percentage turnout at station C is:

(1210/1440) × 100% = 84.03%

To find the total turnout from all three polling stations, we need to add up the total number of voters and the total number of registered voters from all three stations:

Total number of voters = 945 + 860 + 1210 = 3015

Total number of registered voters = 1270 + 1050 + 1440 = 3760

The overall percentage turnout is:

(3015/3760) × 100% = 80.12%

Therefore, the total turnout from all three polling stations is 80.12% — rounding to 80%.

4. D
This is a simple direct proportion problem:
If Lynn can type 1 page in p minutes, then she can type x pages in 5 minutes
We do cross multiplication: x * p = 5 * 1
Then,
x = 5/p

5. A
This is an inverse ratio problem.
1/x = 1/a + 1/b where a is the time Sally can paint a house, b is the time John can paint a house, x is the time Sally and John can together paint a house.
So,
1/x = 1/4 + 1/6 … We use the least common multiple in the denominator that is 24:
1/x = 6/24 + 4/24
1/x = 10/24
x = 24/10
x = 2.4 hours.
In other words; 2 hours + 0.4 hours = 2 hours + 0.4•60 minutes
= 2 hours 24 minutes

6. D

The original price of the dishwasher is $450. During a 15% off sale, the price of the dishwasher will be reduced by:

15% of $450 = 0.15 x $450 = $67.50

So the sale price of the dishwasher will be:

$450 – $67.50 = $382.50

As an employee, the person receives an additional 20% off the lowest price, which is $382.50. We can calculate the additional discount as:

20% of $382.50 = 0.20 x $382.50 = $76.50

So the final price that the employee will pay for the dishwasher is:

$382.50 – $76.50 = $306.00

Therefore, the employee will pay $306.00 for the dishwasher.

7. D
Original price = x,
80/100 = 12590/X,
80X = 1259000,
X = 15,737.50.

8. D
We are given that each of the n employees earns s amount of salary weekly. This means that one employee earns s salary weekly. So; Richard has ‘ns’ amount of money to employ n employees for a week.
We are asked to find the number of days n employees can be employed with x amount of money. We can do simple direct proportion:
If Richard can employ n employees for 7 days with ‘ns’ amount of money,
Richard can employ n employees for y days with x amount of money … y is the number of days we need to find.
We can do cross multiplication:
y = (x * 7)/(ns)
y = 7x/ns

9. B
The distribution is done at three different rates and in three different amounts:
$6.4 per 20 kilograms to 15 shops … 20•15 = 300 kilograms distributed
$3.4 per 10 kilograms to 12 shops … 10•12 = 120 kilograms distributed
550 – (300 + 120) = 550 – 420 = 130 kilograms left. This 50
amount is distributed in 5 kilogram portions. So, this means that there are 130/5 = 26 shops.
$1.8 per 130 kilograms.
We need to find the amount he earned overall these distributions.
$6.4 per 20 kilograms : 6.4•15 = $96 for 300 kilograms
$3.4 per 10 kilograms : 3.4 *12 = $40.8 for 120 kilograms
$1.8 per 5 kilograms : 1.8 * 26 = $46.8 for 130 kilograms
So, he earned 96 + 40.8 + 46.8 = $ 183.6
The total distribution cost is given as $10
The profit is found by: Money earned – money spent … It is important to remember that he bought 550 kilograms of potatoes for $165 at the beginning:
Profit = 183.6 – 10 – 165 = $8.6

10. B
We check the fractions taking place in the question. We see that there is a “half” (that is 1/2) and 3/7. So, we multiply the denominators of these fractions to decide how to name the total money. We say that Mr. Johnson has 14x at the beginning; he gives half of this, meaning 7x, to his family. $250 to his landlord. He has 3/7 of his money left. 3/7 of 14x is equal to:
14x * (3/7) = 6x
So,
Spent money is: 7x + 250
Unspent money is: 6×51
Total money is: 14x
Write an equation: total money = spent money + unspent money
14x = 7x + 250 + 6x
14x – 7x – 6x = 250
x = 250
We are asked to find the total money that is 14x:
14x = 14 * 250 = $3500

11. D
First calculate total square feet, which is 15 * 24 = 360 ft2. Next, convert this value to square yards, (1 yards2 = 9 ft2) which is 360/9 = 40 yards2. At $0.50 per square yard, the total cost is 40 * 0.50 = $20.


Dynamically Created Word Problems

Here is a graphic preview for all of the word problems worksheets. You can select different variables to customize these word problems worksheets for your needs. The word problems worksheets are randomly created and will never repeat so you have an endless supply of quality word problems worksheets to use in the classroom or at home. Our word problems worksheets are free to download, easy to use, and very flexible.

These word problems worksheets are a great resource for children in 3rd Grade, 4th Grade, and 5th Grade.

Click here for a Detailed Description of all the Word Problems Worksheets.


Quick Link for All Word Problems Worksheets

Click the image to be taken to that Word Problems Worksheet.

Words to Symbols
Word Problems

Words to Symbols

Addition Word Problems
Using 1 Digit with 2 Addends

Addition Word Problems

Addition Word Problems
Using 2 Digit with 2 Addends

Addition Word Problems

Addition Word Problems
Using 1 Digit with 3 Addends

Addition Word Problems

Addition Word Problems
Using 2 Digit with 3 Addends

Addition Word Problems

Addition Word Problems
2 Digit Missing Addends

Addition Word Problems 2 Digits Missinf Addends

Subtraction Word Problems
Using 1 Digit

Subtraction Word Problems

Subtraction Word Problems
Using 2 Digits

Subtraction Word Problems

Addition and Subtraction
Word Problems Using 1 Digit

Addition and Subtraction Word Problems

Addition and Subtraction
Word Problems
Using 2 Digits

Addition and Subtraction Word Problems

Addition and Subtraction
Word Problems 2 Digits
With No Regrouping

Addition and Subtraction Word Problems No Regrouping

Addition and Subtraction
Word Problems
Using 3 Digits

Addition and Subtraction Word Problems

Multi-Step Problems
Addition and Subtraction

Multi-Step Problems Addition and Subtraction

Multiplication Word Problems
Using 1 Digit

Multiplication Word Problems

Multiplication Word Problems
Using Dozens

Multiplication Word Problems

Multiplication Word Problems
Using 2 Digits

Multiplication Word Problems

Division Word Problems
Using 1 Digit in Divisor

Division Word Problems Using 1 Digit in Divisor

Division Word Problems
Using Dozens in Divisor

Division Word Problems Using Dozens in Divisor

Division Word Problems
Using Multiple Digits in Divisor

Division Word Problems Using Multiple Digits in Divisor

Division Word Problems
Dividing with Fractions

Dividing with Fractions Worksheets

Multiplication and Division
Word Problems Using 1 Digit

Multiplication and Division Word Problems Using 1 Digit

Mixed Operations Problems
Using 1 or 2 Digits

Mixed Word Problems

One Step Equation
Word Problems

One Step Equation Word Problems Worksheets

Two Step Equation
Word Problems

Two Step Equation Word Problems Worksheets

Multi-Step All Operations
Word Problems

Multi-Step All Operations Word Problems

Fractions Word Problems
Adding Two Fractions

Adding Two Fractions

Fractions Word Problems
Adding Three Fractions

Adding Three Fractions

Fractions Word Problems
Subtracting Fractions

Subtracting Fractions

Fractions Word Problems
Adding Two Mixed Numbers

Adding Two Mixed Numbers

Fractions Word Problems
Subtracting Two Mixed Numbers

Subtracting Three Fractions

U. S. Coins Word Problems
Adding Coins Worksheets

Adding Coins Worksheets

Advanced Adding U. S. Coins
Word Problems

Adding U. S. Coins Word Problems

U. S. Money Word Problems
Adding Two Purchases

Adding Two Purchases

U. S. Money Word Problems
Adding Three Purchases

Adding Three Purchases

U. S. Money Word Problems
Change from a Purchase

Change from a Purchase

Travel Time
Word Problems

Travel Time Word Problems

Reading a Calendar
Word Problems

Reading a Calendar Word Problems

Elapsed Dates
Word Problems

Elapsed Time Word Problems

Ratios and Rate
Word Problems

Ratios and Rate Word Problems Worksheets

Percentage
Word Problems

Percentage Word Problems

Mixed Operations
with Key Phrases
Word Problems

Mixed Operations with Key Phrases Word Problems

U.S. Money
Change from a Purchase
Multiplication Word Problems

U.S. Money Change from a Purchase Multiplication Word Problems

Detailed Description for All Word Problems Worksheets

Words to Symbols Handout
This Word Problems Worksheet will produce a great handout to help students learn the symbols for different words and phrases in word problems.

Addition Word Problems Worksheets Using 1 Digit with 2 Addends
These addition word problems worksheets will produce 1 digit problems with two addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 2 Digits with 2 Addends
These addition word problems worksheets will produce 2 digits problems with two addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 1 Digit with 3 Addends
These addition word problems worksheets will produce 1 digit problems with three addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets Using 2 Digits with 3 Addends
These addition word problems worksheets will produce 2 digits problems with three addends, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition Word Problems Worksheets 2 Digits Missing Addends
These addition word problems worksheet will produce 2 digits problems with missing addends, with ten problems per worksheet. You may select between regrouping and non-regrouping type of problems. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Subtraction Word Problems Worksheets Using 1 Digit
These subtraction word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Subtraction Word Problems Worksheets Using 2 Digits
These subtraction word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 1 Digit
These addition and subtraction word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 2 Digits
These addition and subtraction word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets 2 Digits With No Regrouping
These addition and subtraction word problems worksheets will produce 2 digits problems with no regrouping and ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Addition and Subtraction Word Problems Worksheets Using 3 Digits
These addition and subtraction word problems worksheets will produce 3 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multi-Step Problems Addition and Subtraction
These multi-step addition and subtraction word problems worksheets will produce 10 problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using 1 Digit
These multiplication word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using Dozens
These multiplication word problems worksheets will produce problems using dozens, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Multiplication Word Problems Worksheets Using 2 Digits
These multiplication word problems worksheets will produce 2 digits problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using 1 Digit in Divisor
These division word problems worksheets will produce 1 digit divisor problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using Dozens in Divisor
These division word problems worksheets will produce problems using dozens in the divisor, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Division Word Problems Worksheets Using Multiple Digits in Divisor
These division word problems worksheets will produce multiple digits in the divisor for the problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Dividing with Fractions Worksheets
These division Word Problems Worksheets will produce problems that focus on division with fractions. You have the option to select the range of denominators, as well as the types of fractions displayed. These word problems worksheets are appropriate for 4th Grade, 5th Grade, and 6th Grade.

Multiplication and Division Problems Using 1 Digit
These multiplication and division word problems worksheets will produce 1 digit problems, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Mixed Operations Word Problems Using 1 or 2 Digits
These mixed operations word problems worksheets will produce addition, multiplication, subtraction and division problems with 1 or 2 digit numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

One Step Equation Word Problems
These equations worksheets will produce one step word problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Two Step Equation Word Problems
These equations worksheets will produce two step word problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Multi-Step All Operations Word Problems
These Word Problems worksheets will produce word problems involving all basic operations. You may choose the format of the answers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Two Fractions Word Problems
These fractions word problems worksheets will produce problems with the addition of two fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Three Fractions Word Problems
These fractions word problems worksheets will produce problems with the addition of three fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Subtracting Fractions Word Problems
These fractions word problems worksheets will produce problems involving subtracting two fractions. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding Two Mixed Numbers Word Problems
These fractions word problems worksheets will produce problems involving adding two mixed numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Subtracting Two Mixed Numbers Word Problems
These fractions word problems worksheets will produce problems involving subtracting two mixed numbers. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding U.S. Coins Word Problems
This U.S. coins word problems worksheet will produce coin addition problems. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Advanced Adding U.S. Coins Word Problems
These Word Problems Worksheets will produce word problems that focus on adding up different denominations of US coin currency. You have the option to select any combination of pennies, nickels, dimes, quarters, and half dollars for each worksheet. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Adding Two Items Word Problems
These U.S. money word problems worksheest will produce purchase problems for adding two items. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Adding Three Items Word Problems
These U.S. money word problems worksheets will produce purchase problems for adding three items. These worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

U.S. Money Change from a Purchase Word Problems
These U.S. money word problems worksheets will produce problems for calculating change from a purchase. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Travel Time Word Problems Worksheets
These time word problems worksheets produce problems for finding the duration, start, and end times of trips. Users may select the units of time to use in the problems. These word problems worksheets will produce ten problems per worksheet. These word problems worksheets are appropriate for students in the 5th Grade through the 8th Grade.

Reading a Calendar Word Problems Worksheets
These calendar worksheets will produce word problems revolving around reading and understanding a monthly calendar. You may select the month and the year within a range of the years 1800 to 3999. These word problems worksheets will produce nine problems per worksheet. These word problems worksheets are appropriate for students in the 5th Grade through the 8th Grade.

Elapsed Dates Word Problems Worksheets
These time word problems worksheets will produce questions with elapsed days, weeks, months, and years, with ten problems per worksheet. These word problems worksheets are appropriate for 3rd Grade, 4th Grade, and 5th Grade.

Ratios and Rates Word Problems Worksheets
These ratio word problems worksheets will produce eight ratio and rates word problems for the students to solve. These ratio word problems worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Percentage Word Problems Worksheets
These Percentage Word Problems Worksheets will produce problems that focus on finding and working with percentages. You have the option to select the types of numbers, as well as the types of problem you want. These percentage word problems worksheets are appropriate for 3rd Grade, 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

Mixed Word Problems with Key Phrases Worksheets
These Word Problems Worksheets will produce addition, multiplication, subtraction and division problems using clear key phrases to give the student a clue as to which type of operation to use. These word problems worksheets are appropriate for 4th Grade, 5th Grade, 6th Grade, and 7th Grade.

U.S. Money Change from a Purchase Multiplication Word Problems
These Word Problems Worksheets will produce problems that ask students to use multiplication to calculate the monetary value of a purchase and then find how much change is given from the purchase.

If you need help figuring out how old someone is (or how old you are) given a birthday, you can use this great Age
Calculator. to answer those questions and many more!

Choose your grade level and you’ll jump to a page with hundreds of practice word problems, one for each day of the school year. (These pages are in-progress. We’ll keep adding more until we have 30 weeks/150 worksheets per grade level.)

Daily Word Problem Worksheets

Daily Word Problems

Kindergarten (Level K)

In Kindergarten, daily math word problem series will allow children to practice counting numbers to 20, comparing numbers (using more, most, fewest, etc.), adding and subtracting within 10, and identifying basic shapes.

Grade 1 (Level A)

Daily word problem worksheets for 1st grade students. Most problems require basic addition or subtraction. There are also occasional problems related to counting money and skip counting.

Grade 2 (Level B)

This page has 2nd grade daily math word problems. At this level, we have both single-step and multi-step problems. Single, double, and triple-digit addition and subtraction are frequently featured. Other skills include elapsed time, counting money, and repeated addition (multiplication).

Grade 3 (Level C)

In third grade, students will be presented with 2, 3, and 4-digit addition and subtraction problems, as well as questions involving basic multiplication, basic division, place value, counting money, tables & charts, and fractions.

Grade 4 (Level D)

In 4th grade, the daily word problems will consist of more multi-step math, covering operations with whole numbers, fractions, and decimals. There will also be questions related to place value, angles, graphs, and measurement conversions.

Grade 5 (Level E)

These 5th grade daily math worksheets continue to build on elementary math skills. Multi-step problems cover operations with whole numbers, as well as fractions and decimals. Understanding place value, calculating measurements, and reading charts and graphs are among the other skills covered in these worksheets.

Math Buzz

This is a different set of daily review worksheets, featuring a variety of math skills. Each day, students have 5 math questions to answer. Not all problems are word problems in this set.

Word problems don’t have to be woeful! Master math and reading all in one go, with these easy word problems for beginners.

Download all (12)

Click on a worksheet in the set below to see more info or download the PDF.

Problem Solving: Adding Apples

Problem Solving: Adding Apples

Even in nature, solving story problems is important. How many apples will be left on a tree if seven are picked?

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Problem Solving: Subtracting Sea Life

Problem Solving: Subtracting Sea Life

Help your child with his math skills with this printable worksheet that asks him to develop a logical sequence for baking a cake.

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Animal Addition: Problem Solving

Animal Addition: Problem Solving

Looking for a first grade worksheet to help your child with math skills? This printable is all about solving word problems with animal addition.

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Simple Addition Word Problems

This colorful, first grade addition worksheet really has it all: practice with addition word problems, counting, and drawing!

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Pattern Practice Problems

Pattern Practice Problems

This math worksheet offers a triple learning whammy: kids practice completing patterns and solving word problems as they sharpen their reading comprehension.

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Simple Math Word Problems

Your first grader will get some practice with beginning word problems as he puts together some tasty burgers.

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Easy Word Problems

Numbers and math are everywhere, even on pizza! Add and subtract pizza toppings with these simple word problems for beginners.

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Simple Word Problems

Create mathematical fruit salad as you add and subtract different types of fruit with this worksheet full of beginners’ word problems.

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At the Ballpark: Addition and Subtraction

At the Ballpark: Addition and Subtraction

Even at the ballpark, solving story problems is important. How much will it cost to buy a hot dog and an ice cream cone?

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At the Toy Store: Addition and Subtraction

Looking for a worksheet to help your child with his math skills? This printable is all about solving word problems at the toy store.

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Adding Three Numbers!

Adding Three Numbers!

Can your first grader practice adding three numbers together to help these working people do their jobs?

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Ice Cream Graph #20

Young entrepreneurs Sam, Kate, and Becky sold some ice cream cones, but they need help figuring out how many. Exercise pictograph skills in this worksheet.

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Math word problem worksheets for grade 5

These worksheets present students with real world word problems that students can solve with grade 5 math concepts. 

We encourage students to think about the problems carefully by:

  • providing a number of mixed word problem worksheets
  • including irrelevant data so students need to understand the context before applying a solution

The four operations

Mixed 4 operations

Estimating and rounding word problems

Grade 5 fractions and decimal word problems

Addition and subtraction of fractions

Addition and subtraction of mixed numbers

Division of numbers with fractional answers

Dividing by unit fractions

Multiplying fractions word problems

Mixed operations with fractions

More mixed fraction word problems

Decimals word problems

Measurement word problems

Mass and weight word problems

Volume and capacity word problems

Length word problems

Word problems worksheets with variables

Variables and expressions

Variables and equations

Other grade 5 word problems worksheets

Volume of rectangular prisms

GCF / LCM word problems

Mixed grade 5 word problems
 

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  • Practice these words and word combinations
  • Practice reading the following words and word combinations
  • Practice question word order
  • Practice meaning of the word
  • Practice match the words to make word combinations