metric conversion problem solving worksheets

• Home   |  
• About   |  
• Contact Us   |  
• Privacy   |  
• Copyright   |  
• Shop   |  
• 🔍 Search Site
• Easter Color By Number Sheets
• Printable Easter Dot to Dot
• Easter Worksheets for kids
• Kindergarten
• All Generated Sheets
• Place Value Generated Sheets
• Addition Generated Sheets
• Subtraction Generated Sheets
• Multiplication Generated Sheets
• Division Generated Sheets
• Money Generated Sheets
• Negative Numbers Generated Sheets
• Fraction Generated Sheets
• Place Value Zones
• Number Bonds
• Addition & Subtraction
• Times Tables
• Fraction & Percent Zones
• All Calculators
• Fraction Calculators
• Percent calculators
• Area & Volume Calculators
• Age Calculator
• Height Calculator
• Roman Numeral Calculator
• Coloring Pages
• Fun Math Sheets
• Math Puzzles
• Mental Math Sheets
• Online Times Tables
• Online Addition & Subtraction
• Math Grab Packs
• All Math Quizzes
• 1st Grade Quizzes
• 2nd Grade Quizzes
• 3rd Grade Quizzes
• 4th Grade Quizzes
• 5th Grade Quizzes
• 6th Grade Math Quizzes
• Place Value
• Rounding Numbers
• Comparing Numbers
• Number Lines
• Prime Numbers
• Negative Numbers
• Roman Numerals
• Subtraction
• Add & Subtract
• Multiplication
• Fraction Worksheets
• Learning Fractions
• Fraction Printables
• Percent Worksheets & Help
• All Geometry
• 2d Shapes Worksheets
• 3d Shapes Worksheets
• Shape Properties
• Geometry Cheat Sheets
• Printable Shapes
• Coordinates
• Measurement
• Math Conversion
• Statistics Worksheets
• Bar Graph Worksheets
• Venn Diagrams
• All Word Problems
• Finding all possibilities
• Logic Problems
• Ratio Word Problems
• All UK Maths Sheets
• Year 1 Maths Worksheets
• Year 2 Maths Worksheets
• Year 3 Maths Worksheets
• Year 4 Maths Worksheets
• Year 5 Maths Worksheets
• Year 6 Maths Worksheets
• All AU Maths Sheets
• Kindergarten Maths Australia
• Year 1 Maths Australia
• Year 2 Maths Australia
• Year 3 Maths Australia
• Year 4 Maths Australia
• Year 5 Maths Australia
• Meet the Sallies
• Certificates

Metric Conversion Practice Worksheets

(randomly generated).

Welcome to our Metric Conversion Practice Worksheets area.

Here you will find our free worksheet generator for generating your own metric conversion worksheets and answers.

If you are looking to create your own custom-made worksheets with your own choice of measuring units then look no further!

For full functionality of this site it is necessary to enable JavaScript.

Here are the instructions how to enable JavaScript in your web browser .

Using the random sheet generator will allow you to:

• choose the number range and number of questions you wish the worksheet to have;
• print or save your worksheet and a corresponding answer sheet;
• choose your own title and instructions for completing the sheet - great for homework!

For optimal printing, please set your margins to zero on your print setup options.

To save your worksheets, select Print to PDF in the printing options.

If you have any problems with our Random Generator, please let us know using the Contact Us link at the top of each page.

Mobile View of Worksheets

Please note that our generated worksheets may have problems displaying correctly on some mobile devices.

This should not affect the printing of the sheets which should display correctly.

• Metric Conversion Practice Worksheet Generator

Here is our random worksheet generator for creating your own free converting measures worksheets for metric units.

Using this generator will let you create your own worksheets for:

• Convert between a range of lengths: mm, cm, m, km
• Convert between milliliters, liters and centiliters
• Convert between grams, kilograms, milligrams and (metric) tonnes

To start creating your sheet, choose an option from the Number values box below.

Quicklinks to ...

• Converting Metric Units Key Facts
• Pre-Prepared Metric Conversion Worksheets
• More recommended resources
• Converting Metric Units Online Quiz

Metric Conversion Worksheet Generator

4 Steps to Your Worksheets...

• Select your metric conversion units - as many as you want - the most common conversions are in blue font
• Choose the value range for larger units (this is the value of the larger of the two conversion units)
• Choose if you want to include decimal values to convert to and from
• Choose if you want to convert using multiplication (larger units to smaller units), division (smaller units to larger units) or both.
• Choose the number of questions
• View your sheet (with or without answers)
• Print your sheet

(Optional) Give the worksheet your own title.

(Optional) Write out any instructions to go at the top of the sheet.

Select Conversion Units:

Liquid Volume

Larger Unit Values:

Decimal Values:

Conversion Type:

Number of Questions:

Your worksheet will appear below.

Metric Units Conversion Facts

Key facts - length.

1 cm = 10 mm

1 centimeter = 10 millimeters

1 m = 100 cm

1 meter = 100 centimeters

1 km = 1000 m

1 kilometer = 1000 meters

KEY FACTS - WEIGHT

1 kg = 1000 g

1 kilogram = 1000 grams

1 g = 1000 mg

1 gram = 1000 milligrams

1 mt = 1000 kg

1 metric tonne = 1000 kilograms

KEY FACTS - VOLUME

1 L = 1000 mL

1 liter = 1000 milliliters

1 cL = 10 mL

1 centiliter = 10 milliliters

1 L = 100 cL

1 liter = 100 centiliters

Pre-prepared Metric Conversion Worksheets

We have created several ready-to-use printable measures conversion practice worksheets.

These sheets can be useful if you want to set work online or if you want worksheets that are not randomly generated each time.

• Metric Conversion Worksheet - Length 1 (integers only)
• PDF version
• Metric Conversion Worksheet - Length 2 (up to 1 decimal place)
• Metric Conversion Worksheet - Length 3 (up to 2 decimal places)
• Metric Conversion Worksheet 1 - All units - Integers only
• Metric Conversion Worksheet 2 - All units - Up to 1 decimal place
• Metric Conversion Worksheet 3 - All units - Up to 2 decimal places

More Recommended Math Resources

Take a look at some more of our worksheets and resources similar to these.

Converting Measures

The sheets in this section involve converting from one unit of measure to another.

They include customary and metric unit conversions.

The sheets on these pages are graded and not randomly generated.

• Metric Conversion Worksheets
• Converting Customary Units Worksheets (graded)
• Convert Customary Units of Length Worksheets (randomly generated)
• Convert Customary Units of Capacity Worksheets (randomly generated)
• Temperature Conversion Worksheets

Top of Page

Other Randomly Generated Worksheets

Here are some of our other worksheet generators for addition, subtraction, multiplication and division.

There are also sheets to practice rounding, place value and fractions.

• All Randomly Generated Math Worksheets

Related Multiplication & Division Worksheets (Graded)

We also have a wide selection of graded multiplication worksheets.

These sheets have all been created individually and have all been graded by level of difficulty.

• Multiplying by 10 and 100 Worksheets
• Multiplying Decimals by 10 and 100
• Multiply and Divide by 10 100 (decimals)

Metric Conversion Chart

The following web information page is all about converting metric lengths, areas, volumes and weights.

The units on this page are metric only, so if you are looking for help knowing and converting between metric units, then use the link below!

• Metric Conversion Charts

Metric Conversion Quizzes

We have created 2 quizzes to help you to practice your metric conversion facts.

• Converting Metric Units of Length Quiz
• Converting All Metric Units Quiz

Converting Metric Unit Quiz - Length

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.

We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.

For more information on the information we collect, please take a look at our Privacy Policy

We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quick quiz tests your knowledge and skill at converting metric units: km, m, cm and mm.

Converting All Metric Unit Quiz

This quick quiz tests your knowledge and skill at converting metric units: km, m, cm, mm, mL, L, g and kg.

Return to Math Worksheets Generator

Return to Multiplication Worksheets

Return from Metric Conversion Practice Worksheets to Home Page

Math-Salamanders.com

The Math Salamanders hope you enjoy using these free printable Math worksheets and all our other Math games and resources.

We welcome any comments about our site or worksheets on the Facebook comments box at the bottom of every page.

New! Comments

TOP OF PAGE

© 2010-2024 Math Salamanders Limited. All Rights Reserved.

• Privacy Policy
• Copyright Policy

• Number Charts
• Multiplication
• Long division
• Basic operations
• Telling time
• Place value
• Roman numerals
• Fractions & related
• Add, subtract, multiply,   and divide fractions
• Mixed numbers vs. fractions
• Equivalent fractions
• Prime factorization & factors
• Fraction Calculator
• Decimals & Percent
• Add, subtract, multiply,   and divide decimals
• Fractions to decimals
• Percents to decimals
• Percentage of a number
• Percent word problems
• Classify triangles
• Classify quadrilaterals
• Circle worksheets
• Area & perimeter of rectangles
• Area of triangles & polygons
• Coordinate grid, including   moves & reflections
• Volume & surface area
• Pre-algebra
• Square Roots
• Order of operations
• Scientific notation
• Proportions
• Ratio word problems
• Write expressions
• Evaluate expressions
• Simplify expressions
• Linear equations
• Linear inequalities
• Graphing & slope
• Equation calculator
• Equation editor
• Elementary Math Games
• Addition and subtraction
• Math facts practice
• The four operations
• Factoring and number theory
• Geometry topics
• Middle/High School
• Statistics & Graphs
• Probability
• Trigonometry
• Logic and proof
• For all levels
• Favorite math puzzles
• Favorite challenging puzzles
• Math in real world
• Problem solving & projects
• For gifted children
• Math history
• Math games and fun websites
• Interactive math tutorials
• Math help & online tutoring
• Assessment, review & test prep
• Online math curricula

The metric system: units with prefixes

The worksheet below involve converting between a range of metric units with prefixes milli-, centi-, deci-, (basic unit), deka-, hecto-, and kilo-.

Measurement units worksheets generator

Use the generator to make customized worksheets for conversions between measuring units. You can choose to include inches, feet, yards, miles, ounces, cups, pints, quarts, gallons, ounces, pounds, millimeters, centimeters, meters, kilometers, grams, kilograms, liters, and milliliters. You can also make worksheets for the metric system: units with the prefixes milli, centi, deci, deka, hecto, and kilo.

Page orientation: Portrait   Landscape   (PDF worksheet only)

Key to Measurements Workbooks

Key to Measurement workbooks include a variety of hands-on experiences related to the customary units of measurement. Group projects are included in addition to numerous individual activities. In Book 1, students learn how a linear measurement system is developed and then do activities related to measuring length. Book 2 focuses on length, perimeter, and area measures. In Book 3, the concept of area is further developed, and students are introduced to volume. Book 4 covers a variety of topics. Students experiment with weighing objects and measuring capacity, and they also learn about temperature and time.

Child Login

• Kindergarten
• Number charts
• Skip Counting
• Place Value
• Number Lines
• Subtraction
• Multiplication
• Word Problems
• Comparing Numbers
• Ordering Numbers
• Odd and Even
• Prime and Composite
• Roman Numerals
• Ordinal Numbers
• In and Out Boxes
• Number System Conversions
• More Number Sense Worksheets
• Size Comparison
• Measuring Length
• Metric Unit Conversion
• Customary Unit Conversion
• Temperature
• More Measurement Worksheets
• Writing Checks
• Profit and Loss
• Simple Interest
• Compound Interest
• Tally Marks
• Mean, Median, Mode, Range
• Mean Absolute Deviation
• Stem-and-leaf Plot
• Box-and-whisker Plot
• Permutation and Combination
• Probability
• Venn Diagram
• More Statistics Worksheets
• Shapes - 2D
• Shapes - 3D
• Lines, Rays and Line Segments
• Points, Lines and Planes
• Transformation
• Quadrilateral
• Ordered Pairs
• Midpoint Formula
• Distance Formula
• Parallel, Perpendicular and Intersecting Lines
• Scale Factor
• Surface Area
• Pythagorean Theorem
• More Geometry Worksheets
• Converting between Fractions and Decimals
• Significant Figures
• Convert between Fractions, Decimals, and Percents
• Proportions
• Direct and Inverse Variation
• Order of Operations
• Squaring Numbers
• Square Roots
• Scientific Notations
• Speed, Distance, and Time
• Absolute Value
• More Pre-Algebra Worksheets
• Translating Algebraic Phrases
• Evaluating Algebraic Expressions
• Simplifying Algebraic Expressions
• Algebraic Identities
• Quadratic Equations
• Systems of Equations
• Polynomials
• Inequalities
• Sequence and Series
• Complex Numbers
• More Algebra Worksheets
• Trigonometry
• Math Workbooks
• English Language Arts
• Summer Review Packets
• Social Studies
• Holidays and Events
• Worksheets >
• Measurement >
• Metric Unit Conversion >
• Metric Units of Length

Metric Units of Length Worksheets

Developed in the late 17th century, the metric system was first used during the French Revolution. The basic units of the metric system are taken from nature. Meter, the basic unit of length, was based on the dimensions of the earth. Delve into the concept with our resources crafted for 3rd grade, 4th grade, and 5th grade. Awash with exercises on converting metric units of length involving integers and decimals, these worksheets ease the learning stress of many a student. Get started with our free worksheets.

Millimeters, Centimeters, Meters, and Kilometers | Integers

Ace it like a pro and convert between bigger units and smaller units with this set of 3rd grade and 4th grade worksheets. Featuring integers with metric units of length like km, m, cm, and mm, each pdf worksheet is supplied with problems in three different formats along with a word problem.

• Download the set

Millimeters, Centimeters, Meters, and Kilometers | Type 1

Watch fun make way for fascination, as kids master converting between common metric units of length: cm and mm, m and cm, and km and m. For easy practice and progress from one level to another, the exercises here are neatly presented in 3 parts involving integers and decimals.

Millimeters, Centimeters, Meters, and Kilometers | Type 2

Let the 5th grade and 6th grade students put their industry and hard work into play as they convert between km, m, cm, and mm in these printable type-2 exercises. A great place to extend unit conversion skills, these worksheets double as a tool to review and revisit practice.

Millimeters, Centimeters, Meters, and Kilometers | Type 3

Prove your mettle in this set of type-3 metric unit conversion review problems that play out a little more extensively and intricately than the rest. With nine different tables in the spotlight, each pdf requires students to display their converting skills in a completely different level.

Converting Metric Units of Length | Revision

Opt for this batch of worksheets if recapitulating skills of kids in converting between the four important metric units of length is on your mind. Apply apt conversion formulas and solve the problems in a jiffy!

Unit Conversion | Millimeters, Centimeters,and Meters

Turn your students into masters of metric unit conversions, with these printable worksheets featuring millimeters, centimeters, and meters. Presenting exercises involving integers and decimals, these practice materials prepare students to convert between metric units of length.

(24 Worksheets)

Unit Conversion | Meters and Kilometers

How many kilometers are in 20 meters? Watch students' imagination at work as they answer such questions converting between kilometers and meters, in this bundle of worksheets. Unmistakably stick to the formula: 1 kilometer = 1000 meters, and you will most likely breeze through it.

(15 Worksheets)

Related Worksheets

» Unit Conversion | Grams and Kilograms

» Unit Conversion | Milliliters and Liters

» Unit Conversion | Kilograms and Metric Tons

» Measuring Length

Become a Member

Membership Information

Privacy Policy

What's New?

Printing Help

Testimonial

Copyright © 2024 - Math Worksheets 4 Kids

This is a members-only feature!

Metric Units Practice Questions

Click here for questions, click here for answers, gcse revision cards.

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

Metric Conversion Worksheets

In the world of mathematics and science, the ability to convert between different units of measurement is a crucial skill. This is especially true when it comes to the metric system, which is used globally for most scientific and standard measurements. To help students grasp this essential skill, we’ve designed a series of Metric Conversion Worksheets that are both educational and easy to use.

The Metric System: A Global Standard

The metric system is an international decimalized system of measurement, which is based on the meter, kilogram, and second. It’s used almost universally around the world, making it an important system for students to learn and understand.

Metric Conversion Worksheets: What’s Inside

Our Metric Conversion Worksheets are crafted to provide students with a variety of conversion challenges that span different levels of difficulty. Here’s a snapshot of what students will encounter:

• Basic Conversions: Simple tasks such as converting meters to centimeters and vice versa, which require multiplying or dividing by powers of 10.
• Advanced Conversions: More complex conversions involving larger units like kilometers to meters, which test students’ ability to handle larger numbers.
• Practical Application: Each worksheet provides real-world scenarios where students might need to apply these conversions, such as converting distances for travel or measuring lengths for a science project.

How Our Worksheets Make Learning Easier

The design of the worksheets is student-friendly, featuring:

• Clear Instructions: Each worksheet starts with clear directions on how to perform the conversions, making the process straightforward for students.
• Structured Practice: Problems are organized in ascending order of difficulty, allowing students to build confidence as they progress.
• Visual Aids: Some worksheets include visual aids, such as rulers or scale images, to help students better understand the concept of length and distance.

Benefits of Mastering Metric Conversions

Learning to accurately convert measurements within the metric system is beneficial because it:

• Enhances Mathematical Understanding: It helps students understand the decimal system and the relationships between different units.
• Prepares for Real-World Situations: Many fields, such as science, engineering, and healthcare, require precise measurement conversions.
• Builds Cognitive Skills: The process of conversion fosters critical thinking and problem-solving abilities.

Using the Worksheets

These worksheets can be used in various educational settings:

• Classroom Exercises: They are ideal for math classes focusing on measurement units.
• Homework Assignments: Teachers can assign them for extra practice at home.
• Assessment Tools: Educators can use them to evaluate students’ understanding of metric conversions.

Our Metric Conversion Worksheets from WorksheetsGO are a vital resource for any math curriculum. They provide students with the practice they need to become proficient in converting different metric units. By incorporating these worksheets into their study routine, students can gain a strong grasp of a fundamental skill that will serve them well throughout their academic and professional careers.

Related Posts

Time Conversion (Minutes And Hours) Worksheets

Leave a reply cancel reply.

Save my name, email, and website in this browser for the next time I comment.

Type above and press Enter to search. Press Esc to cancel.

Metric Conversion Worksheet

FREE DOWNLOAD

Help your students prepare for their Maths GCSE with this free metric conversion worksheet of 34 questions and answers

• Section 1 of the metric conversion worksheet   contains 27 skills-based metric conversion questions, in 3 groups to support differentiation
• Section 2 of the metric measurement worksheet contains 3 applied metric conversion questions with a mix of word problems and deeper problem solving questions
• Section 3 of the metric units worksheet contains 4 foundation and higher level GCSE exam style metric conversion questions 
• Answers and a mark scheme for all metric conversion questions are provided
• Questions follow variation theory with plenty of opportunities for students to work independently at their own level
• All PDF worksheets are created by fully qualified expert secondary maths teachers
• Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

Unlock access to download your free resource

To receive this printable resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

To receive this resource and regular emails with more free resources, blog posts and other Third Space updates, enter your email address and click below.

• Job Title * Job title Headteacher Deputy Head Assistant Head Head of Maths Deputy Head of Maths Trust Leader Primary SLT Other SLT Secondary Maths Teacher Primary Teacher Teaching Assistant Tutor Parent Student Other
• Comments This field is for validation purposes and should be left unchanged.

You can unsubscribe at any time (each email we send will contain an easy way to unsubscribe). To find out more about how we use your data, see our privacy policy .

Raise maths attainment across your school with hundreds of flexible and easy to use GCSE maths worksheets and lessons designed by teachers for teachers.

Metric conversion at a glance

Metric unit conversion involves converting between metric units of measurement, for example between centimetres and millimetres, which are metric units of length. Converting to a larger unit or a smaller unit might be done to make the measurement easier to understand or to perform calculations. 

We use metric measurement units for length, area, volume, mass and capacity. In order to convert metric measurements, we need to know the conversion rates for different units . For example, the metric conversions for converting units of length are 1km=1000m , 1m=100cm and 1cm=10mm . It can be helpful to look at a conversion chart which shows these values. 

The metric system uses different prefixes to mean different things. Examples of these prefixes are milli, centi and kilo. Wherever kilo is used, for example, it means 1000 of the unit. 1kg=1000g and 1km=1000m .

Looking forward, students can then progress to additional conversions worksheets and other ratio and proportion worksheets , for example a ratio worksheet or a simplifying and equivalent ratios worksheet.

For more teaching and learning support on Ratio and Proportion our GCSE maths lessons provide step by step support for all GCSE maths concepts.

Related worksheets

Proportion Diagnostic Questions

Ratio and Proportion

Ratio Diagnostic Questions

Measurements & scales Diagnostic Questions

Scale drawing worksheet

Popular for gcse.

Do you have students who need additional support to achieve their target GCSE maths grade?

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with personalised online one to one tutoring from Third Space Learning

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

Privacy Overview

5th Grade Metric Conversion Worksheets

5th Grade Metric conversion worksheets help students convert between different units. It includes conversion of lengths, weights, volumes between different measurement units. It has ample questions that enable students to practice converting between various units.

Benefits of Converting Metric Units Worksheets 5th Grade

Conversion of one unit to another becomes very important for chapters like mensuration. Practicing from these worksheets will make students convert from one unit to another effortlessly. These 5th grade math worksheets help in boosting the problem-solving skills of the student with a variety of questions. 5th Grade Metric Conversion worksheets can also be useful to boost the logical thinking ability of the students. These worksheets not only help strengthen the mathematical concepts but also help students with real-life scenarios thus giving them a lifelong advantage.

Printable PDF for Grade 5 Metric Conversion Worksheets

Solving multiple metric conversion worksheets for grade 5 can help students strengthen the concepts related to various units.

• 5th Grade Math Metric Conversion Worksheet
• Fifth Grade Metric Conversion Worksheet
• Metric Conversion Worksheet for 5th Grade
• Metric Conversion Worksheet Fifth Grade

Explore more topics at Cuemath's Math Worksheets .

Free Printable Converting Metric Units Worksheets for 7th Grade

Converting Metric Units worksheets for Grade 7 Math teachers to help students discover and master the art of metric conversions. Download and print these free resources from Quizizz for effective learning.

Explore Converting Metric Units Worksheets by Grades

• kindergarten

Explore Other Subject Worksheets for grade 7

• Social studies
• Social emotional
• Foreign language
• Reading & Writing

Explore printable Converting Metric Units worksheets for 7th Grade

Converting Metric Units worksheets for Grade 7 are an essential resource for teachers looking to enhance their students' understanding of Math, Measurement, Scale, and Conversions. These worksheets provide a variety of exercises and problems that challenge students to apply their knowledge of the metric system, helping them to develop the skills necessary to accurately measure and convert units of length, mass, and capacity. As a teacher, you know the importance of providing engaging and effective learning materials for your Grade 7 students. By incorporating these worksheets into your lesson plans, you can ensure that your students have a solid foundation in metric unit conversions, setting them up for success in future math courses and real-world applications.

In addition to Converting Metric Units worksheets for Grade 7, Quizizz offers a comprehensive platform for teachers to create and share interactive quizzes, polls, and presentations that can be used alongside worksheets to reinforce learning and assess student progress. With Quizizz, you can easily customize quizzes to align with your lesson objectives and track student performance in real-time. This powerful tool not only helps you identify areas where your Grade 7 students may need additional support but also allows you to gamify the learning experience, making math and measurement more engaging and enjoyable for your students. By combining the use of worksheets with Quizizz's innovative features, you can create a dynamic and effective learning environment that fosters a deeper understanding of metric unit conversions and other essential math concepts.

Reading & Math for K-5

• Kindergarten
• Learning numbers
• Comparing numbers
• Place Value
• Roman numerals
• Subtraction
• Multiplication
• Order of operations
• Drills & practice
• Measurement
• Factoring & prime factors
• Proportions
• Shape & geometry
• Data & graphing
• Word problems
• Children's stories
• Leveled Stories
• Context clues
• Cause & effect
• Compare & contrast
• Fact vs. fiction
• Fact vs. opinion
• Main idea & details
• Story elements
• Conclusions & inferences
• Sounds & phonics
• Words & vocabulary
• Reading comprehension
• Early writing
• Numbers & counting
• Simple math
• Social skills
• Other activities
• Dolch sight words
• Fry sight words
• Multiple meaning words
• Prefixes & suffixes
• Vocabulary cards
• Other parts of speech
• Punctuation
• Capitalization
• Narrative writing
• Opinion writing
• Informative writing
• Cursive alphabet
• Cursive letters
• Cursive letter joins
• Cursive words
• Cursive sentences
• Cursive passages
• Grammar & Writing

Breadcrumbs

Convert metric lengths

Download & Print Only $7.70

Math worksheets: Converting between units of length (metric)

Below are six versions of our grade 5 math worksheet on converting between different metric units of length. These worksheets are pdf files .

These worksheets are available to members only.

Join K5 to save time, skip ads and access more content. Learn More

More measurement worksheets

Browse all of our measurement worksheets , from"bigger vs smaller" to  the measurement of length, weight, capacity and temperature in customary and metric units.

What is K5?

K5 Learning offers free worksheets , flashcards  and inexpensive  workbooks  for kids in kindergarten to grade 5. Become a member  to access additional content and skip ads.

Our members helped us give away millions of worksheets last year.

We provide free educational materials to parents and teachers in over 100 countries. If you can, please consider purchasing a membership ($24/year) to support our efforts.

Members skip ads and access exclusive features.

Learn about member benefits

This content is available to members only.

• Forgot Password?

If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Course: 4th grade   >   Unit 14

• Multi-step unit conversion examples (metric)

Metric conversions word problems

• Multi-step unit conversion examples (U.S. Customary)
• US customary conversion word problems
• (Choice A)   6 ‍   grams A 6 ‍   grams
• (Choice B)   1,500 ‍   grams B 1,500 ‍   grams
• (Choice C)   6,000 ‍   grams C 6,000 ‍   grams

Metric Length Word Problems Worksheet

Related Topics & Worksheets: Math Worksheets Printable Math Worksheets Free Online Worksheet to help students practice how to solve metric length word problems that involves adding and subtracting metric lengths.

Printable “Metric Measurement” Worksheets: Metric Length Conversions (km, m, cm) Metric Mass Conversions (kg, g) Metric Capacity Conversions (L, cL)

Metric Length Word Problems Metric Capacity Word Problems Metric Mass Word Problems Measurement Word Problems

 Check   Hint 

We hope that the free math worksheets have been helpful. We encourage parents and teachers to select the topics according to the needs of the child. For more difficult questions, the child may be encouraged to work out the problem on a piece of paper before entering the solution. We hope that the kids will also love the fun stuff and puzzles.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.

Measurement Worksheets

Welcome to the measurement worksheets page at Math-Drills.com where you can measure up, measure down or measure all around! This page includes Measurement worksheets for length, area, angles, volume, capacity, mass, time and temperature in Metric, U.S. and Imperial units.

Measurement concepts and skills give students the ability to perform tasks related to everyday life. Length, area, volume, capacity, mass, time and temperature are measurement concepts that people are exposed to everyday. Students begin using non-standard units such as their own height and progress to using standard measurement units. Being able to recognize and use for comparison, common measurement units such as the metre or foot, allows students to use their estimation skills to help them solve problems in measurement. Measurement tools enable students to learn hands-on and develop a deeper understanding of measurement concepts.

Most Popular Measurement Worksheets this Week

Reading and Converting Temperature Worksheets

Reading temperatures from a thermometer is one of those everyday skills that is transferable to other situations. Sure, students could just ask their smart device about the temperature, but that only tells them the temperature at the nearest weather station, not where they're standing. Wouldn't it be more exciting to look at a thermometer in their own yard? And what if they are working at a solar power farm (or elsewhere) in the future and have other meters and gauges to read? Their skill in reading thermometers will help introduce them to negative numbers and be useful for reading other types of meters and gauges in the future.

• Reading Temperatures From Thermometers Reading Temperatures from a Thermometer Reading Temperatures from Circular Thermometers (Fahrenheit Dominant) Reading Temperatures from Circular Thermometers (Celsius Dominant)

Millions of people live near the U.S./Canada border, so it is inevitable that once in a while, those people are going to hear or see the temperature in a less familiar unit. Perhaps traveling to another country has one baffled about the forecast. Having a knowledge of some simple equivalents (like the freezing point is 0 degrees Celsius and 32 degrees Fahrenheit) and the ability to convert between C and F will not only help in determining the temperature in a familiar form, but will also help students build math skills that are useful in other situations. The temperature conversion guide gives a summary of the formulas used and some whole number equivalents to learn. There are several practice sheets for converting from °C to °F, from °F to °C, and a couple with both conversions mixed up.

• Temperature Conversion Guide Temperature Conversion Guide
• Converting Temperatures Between °C and °F Converting °C to °F (no negatives) Converting °C to °F (with negatives) Converting °F to °C (no negatives) Converting °F to °C (with negatives) Converting Between °F and °C (no negatives) Converting Between °F and °C (with negatives)

Measuring and Converting Within Measurement Systems

Measuring length is so much more interesting if you can send students out with rulers and have them measure items in their environment. What is the width of the textbook? the classroom? the school? Have you ever met a student who didn't enjoy using a measuring wheel (you know the one that clicks every time you've traveled a yard or a meter)? How do you know they've measured things correctly though? Well, you might need something like we've provided below. You can also compare students' measurements of the same objects to see if they got the same measurement. Let's say, you had 20 students measure the height of the doorway. You should get 20 very similar answers (unless they are the sharing type then you'll get exactly the same answers) and any different answers can be quickly identified. IMPORTANT: When printing, select "Actual Size" or your measurements may be off.

• Measuring Lengths of Bars in Centimeters and Millimeters Measuring Length in Centimeters ✎ Measuring Length in Half Centimeters ✎ Measuring Length in Millimeters ✎
• Measuring Lengths of Bars in Inches Measuring Length in Half Inches ✎ Measuring Length in Quarter Inches ✎ Measuring Length in Eighth Inches ✎ Measuring Length in Sixteenth Inches ✎

Just like regrouping when adding, sometimes it is useful to regroup when measuring. If you have too many feet, it might be easier to express your number in yards or miles, for example.

• Converting Between U.S. Length Measurements Worksheets Converting Between Inches, Feet and Yards Converting Between Feet, Yards and Miles Converting Inches, Feet, Yards and Miles

Which unit to use with mass depends a lot on the quantity and what you want to communicate. Whatever your reason for converting mass measurements, these worksheets are likely able to help you take a weight off your shoulders.

• Converting Between U.S. Mass Measurements Worksheets Converting Between Ounces and Pounds Converting Between Ounces and Pounds with Fractions Converting Between Pounds and Tons Converting Between Pounds and Tons with Fractions Converting Ounces/Pounds or Pounds/Tons Converting Ounces/Pounds or Pounds/Tons with Fractions

The liquid measurement worksheets include gills because this is the key unit that results in more fluid ounces in an Imperial gallon than in a U.S. gallon. You can learn more about gills in our liquid measurement conversion guide.

• U.S. Liquid Measurements Conversion Guide Liquid Measurements Conversion Guide (U.S.)
• Converting Between U.S. Liquid Measurements Converting Liquid Measurements (U.S.) Converting Liquid Measurements (No Gills) (U.S.) Converting Between Pints, Quarts and Gallons (U.S.)

Even though Imperial and U.S. Customary units may sound the same, they aren't always the same amount. For example, there are 3.785 litres in a U.S. gallon and 4.546 litres in an Imperial gallon. Sometimes there are also different definitions for units like the gill used in liquid measurements. In the U.S., there are 4 fluid ounces in a gill and in the Imperial System, there are 5 fluid ounces in a gill.

• Imperial (U.K.) Liquid Measurements Conversion Guide Liquid Measurements Conversion Guide (Imperial)
• Converting Between Imperial (U.K.) Liquid Measurements Converting Liquid Measurements (Imperial) Converting Liquid Measurements (No Gills) (Imperial)

Converting between Metric units is really an exercise in multiplying and dividing by powers of ten. Each of the converting worksheets in this section includes a "Conversion Line" that includes the prefixes, symbols and powers. It can be used to figure out how many "steps" are required to convert from one unit to another and what operation must be used. For example, when converting from millimeters to kilometers, students would determine that it takes six steps to the left in the direction of the division sign to get from milli to kilo on the conversion line. Depending on which method they are taught, this could involve dividing by 10 six times, dividing by 10 6 or "moving the decimal" six places to the left. For squared units, each step counts as 100 or 10 2 and for cubic units, each step counts as 1000 or 10 3 . For more details, please see the Metric system conversion guide.

• Converting Within the Metric System Resources Metric System Conversion Guide (U.S. Version) Metric System Conversion Lines ✎
• Converting Between Metric Length Measurements Worksheets Converting Between Millimeters and Centimeters ✎ Converting Between Centimeters and Meters ✎ Converting Between Millimeters and Meters ✎ Converting Between Millimeters, Centimeters and Meters ✎ Converting Between Meters and Kilometers ✎ Converting Between Millimeters, Centimeters, Meters, and Kilometers ✎ Converting Between Nanometers, Micrometers, Millimeters and Centimeters ✎
• Converting Between Metric Mass Measurements Worksheets Converting Between Milligrams and Grams ✎ Converting Between Grams and Kilograms ✎ Converting Between Milligrams, Grams and Kilograms ✎ Converting Between Nanograms, Micrograms, Milligrams and Grams ✎
• Converting Between Metric Volume Measurements Worksheets Converting Between Milliliters and Liters ✎ Converting Between Microliters, Milliliters, Centiliters and Liters ✎ Converting Between Milliliters, Centiliters, Liters and Kiloliters ✎
• Converting Between Common Metric Measurements (Mixed) Converting Between Common Metric Length, Mass and Volume Units ✎
• Converting Between Metric Area Measurements Worksheets Converting Between Square Millimeters and Square Centimeters ✎ Converting Between Square Centimeters and Square Meters ✎ Converting Between Square Millimeters, Square Centimeters and Square Meters ✎ Converting Between Square Meters, Square Hectometers and Square Kilometers ✎

The Metric or SI system uses thin spaces for thousands separators and spells metres and litres with -re rather than -er. This section is mainly for students in English Canada, however, anyone who uses spaces for thousands separators might like these worksheets. This section is very similar to the previous section except for the differences in number formats and spelling.

• Metric System Conversion Guide (SI Format: Spelling and Space-Separated Thousands) Metric System Conversion Guide (SI Version)
• Converting Between Metric Length Measurements Worksheets (SI Format: Space-Separated Thousands) Converting Between Millimetres and Centimetres (SI number format) ✎ Converting Between Centimetres and Metres (SI number format) ✎ Converting Between Millimetres and Metres (SI number format) ✎ Converting Between Millimetres, Centimetres and Metres (SI number format) ✎ Converting Between Metres and Kilometres (SI number format) ✎ Converting Between Millimetres, Centimetres, Metres, and Kilometres (SI number format) ✎ Converting Between Nanometres, Micrometres, Millimetres and Centimetres (SI number format) ✎
• Converting Between Metric Mass Measurements Worksheets (SI Format: Space-Separated Thousands) Converting Between Milligrams and Grams (SI number format) ✎ Converting Between Grams and Kilograms (SI number format) ✎ Converting Between Milligrams, Grams and Kilograms (SI number format) ✎ Converting Between Nanograms, Micrograms, Milligrams and Grams (SI number format) ✎
• Converting Between Metric Volume Measurements Worksheets (SI Format: Space-Separated Thousands) Converting Between Millilitres and Litres (SI number format) ✎ Converting Between Microlitres, Millilitres, Centilitres and Litres (SI number format) ✎ Converting Between Millilitres, Centilitres, Litres and Kilolitres (SI number format) ✎
• Converting Between Common Metric Measurements (Mixed) Worksheets (SI Format: Space-Separated Thousands) Converting Between Common Metric Length, Mass and Volume Units (SI number format) ✎
• Converting Between Metric Area Measurements Worksheets (SI Format: Space-Separated Thousands) Converting Between Square Millimetres and Square Centimetres (SI number format) ✎ Converting Between Square Centimetres and Square Metres (SI number format) ✎ Converting Between Square Millimetres, Square Centimetres and Square Metres (SI number format) ✎ Converting Between Square Metres, Square Hectometres and Square Kilometres (SI number format) ✎

Similar to the previous two sections; however, these worksheets use dots for thousands separators and commas for decimals. This is often found in languages other than English. Metres and litres are spelled with -re as you would find in many countries outside of the U.S.

• Metric System Conversion Guide (European Format: Period-Separated Thousands and Comma Decimals) Metric System Conversion Guide (European Format: Period-Separated Thousands and Comma Decimals)
• Converting Between Metric Length Measurements Worksheets (European Format: Period-Separated Thousands and Comma Decimals) Converting Between Millimetres and Centimetres (Euro number format) ✎ Converting Between Centimetres and Metres (Euro number format) ✎ Converting Between Millimetres and Metres (Euro number format) ✎ Converting Between Millimetres, Centimetres and Metres (Euro number format) ✎ Converting Between Metres and Kilometres (Euro number format) ✎ Converting Between Millimetres, Centimetres, Metres, and Kilometres (Euro number format) ✎ Converting Between Nanometres, Micrometres, Millimetres and Centimetres (Euro number format) ✎
• Converting Between Metric Mass Measurements Worksheets (European Format: Period-Separated Thousands and Comma Decimals) Converting Between Milligrams and Grams (Euro number format) ✎ Converting Between Grams and Kilograms (Euro number format) ✎ Converting Between Milligrams, Grams and Kilograms (Euro number format) ✎ Converting Between Nanograms, Micrograms, Milligrams and Grams (Euro number format) ✎
• Converting Between Metric Volume Measurements Worksheets (European Format: Period-Separated Thousands and Comma Decimals) Converting Between Millilitres and Litres (Euro number format) ✎ Converting Between Microlitres, Millilitres, Centilitres and Litres (Euro number format) ✎ Converting Between Millilitres, Centilitres, Litres and Kilolitres (Euro number format) ✎
• Converting Between Common Metric Measurements (Mixed) Worksheets (European Format: Period-Separated Thousands and Comma Decimals) Converting Between Common Metric Length, Mass and Volume Units (Euro number format) ✎
• Converting Between Metric Area Measurements Worksheets (European Format: Period-Separated Thousands and Comma Decimals) Converting Between Square Millimetres and Square Centimetres (Euro number format) ✎ Converting Between Square Centimetres and Square Metres (Euro number format) ✎ Converting Between Square Millimetres, Square Centimetres and Square Metres (Euro number format) ✎ Converting Between Square Metres, Square Hectometres and Square Kilometres (Euro number format) ✎

Converting Between Measurement Systems Worksheets

Converting between Metric and U.S. customary units can be accomplished in a number of ways and usually takes a little knowledge of fractions and/or decimals. Most commonly, students will use a formula to convert and round the values. You may like our converting inches and centimeters with rulers worksheets for students who have difficulty with manipulating the numbers and formulas and need an easier method.

• Converting Between Inches and Centimeters Converting Inches to cm (whole inches) Converting Inches to cm (to 1/2 inches) Converting Inches to cm (to 1/4 inches) Converting Inches to cm (to 1/8 inches)
• Converting Between Inches and Centimeters With a Ruler Convert Inches to Centimeters with a Ruler Convert Centimeters to Inches with a Ruler Convert Between in/cm with a Ruler
• Converting Between U.S. and Metric Length Units Converting Between U.S. Inches and Centimeters Converting Between Meters and U.S. Feet and Yards Converting Between U.S. Miles and Kilometers Converting Between U.S. Feet and Kilometers and Meters and U.S. Miles Converting Between Metric and U.S. Length Units Converting Between Metric and U.S. Length Units including ft/km and m/mi
• Converting Between U.S. and Metric Mass Units Converting Between U.S. Ounces and Grams Converting Between U.S. Pounds and Kilograms Converting Between Metric and U.S. Mass Units
• Converting Between U.S. and Metric Volume Units Converting Between Milliliters and U.S. Fluid Ounces Converting Between Liters and U.S. Cups, Pints, Quarts and Gallons Converting Between Metric and U.S. Volume Units
• Converting Between Imperial (U.K.) and Metric Mass Units Converting Between Grams and Imperial Ounces Converting Between Kilograms and Imperial Pounds and Stone Converting Between Metric and Imperial Mass Units
• Converting Between Imperial (U.K.) and Metric Volume Units Converting Between Milliliters and Imperial Fluid Ounces Converting Between Liters and Imperial Cups, Pints, Quarts and Gallons Converting Between Metric and Imperial Volume Units
• Converting Worksheets For U.S. Nurses Converting mass measurements used in Nursing Converting volume measurements used in Nursing

Measuring Angles, Rectangles and Triangles

If they are available, full round protractors help students to recognize that measuring angles is the same as measuring sections of a circle. They also makes it much easier and precise to measure reflex angles.

• Measuring Angles Measuring Angles from 5° to 90° Measuring Angles from 5° to 175° Measuring Angles from 90° to 175° Measuring Angles from 185° to 355° Measuring Angles from 5° to 355°

Rectangles are fairly straight-forward polygons to measure since it is easy to find rectangles that use whole numbers. Rectangles are generally used when students first learn about perimeter and area and it is an opportune time to teach students that units are an essential part of any measurement. Without units, numbers are meaningless. Get your students into the habit of expressing all of their measurements with the correct units before they learn how to measure other polygons. Especially make sure they know that area is always expressed with squared units.

If a student is just starting to learn about perimeter and area, a few hands-on activities to learn the concepts is a good idea. Have them use square tiles to cover an area, have them paint a piece of paper and see how much paint is required. Create rectangles with straws and pipe cleaners and fill with square tiles to differentiate between perimeter and area. See if there are differently shaped rectangles that will hold the same number of square tiles.

• Perimeter and Area of Rectangles Worksheets Calculate the Area and Perimeter of Rectangles from Side Measurements (Smaller Whole Numbers) Calculate the Area and Perimeter of Rectangles from Side Measurements (Larger Whole Numbers) Calculate the Area and Perimeter of Rectangles from Side Measurements (Decimal Numbers) Area of Rectangles (grid form)
• Perimeter and Area of Rectangles Worksheets (Retro) (Retro) Rectangles (whole numbers; range 1-9) (Retro) Rectangles (whole numbers; range 5-20) (Retro) Rectangles (whole numbers; range 10-99) (Retro) Rectangles (1 decimal place; range 1-9) (Retro) Rectangles (1 decimal place; range 5-20) (Retro) Rectangles (1 decimal place; range 10-99)
• Calculating Other Rectangle Measurements Using Perimeter and Area Calculate the Side and Area Measurements of Rectangles from Perimeter and Side (Smaller Whole Numbers) Calculate the Side and Area Measurements of Rectangles from Perimeter and Side (Larger Whole Numbers) Calculate the Side and Area Measurements of Rectangles from Perimeter and Side (Decimal Numbers) Calculate the Side and Perimeter Measurements of Rectangles from Area and Side (Smaller Whole Numbers) Calculate the Side and Perimeter of Rectangles from Area and Side Measurements (Larger Whole Numbers) Calculate the Side and Perimeter of Rectangles from Area and Side Measurements (Decimal Numbers) Calculate the Side Measurements of Rectangles from Perimeter and Area (Smaller Whole Numbers) Calculate the Side Measurements of Rectangles from Perimeter and Area (Larger Whole Numbers) Calculate the Side Measurements of Rectangles from Perimeter and Area (Decimal Numbers) Calculate Various Rectangle Measurements (Smaller Whole Numbers) Calculate Various Rectangle Measurements (Larger Whole Numbers) Calculate Various Rectangle Measurements ( Decimal Numbers)

If you want students to understand the triangle area formula, you might want to study parallelograms and rectangles first. Once students get how area is calculated for rectangles and parallelograms, they simply need to cut parallelograms and rectangles in half diagonally to get related triangles. They should quickly see that the area of a triangle is simply half of the area of the related quadrilateral.

• Area and Perimeter of Triangles Worksheets Calculate the Area and Perimeter of Acute Triangles Calculate the Area and Perimeter of Acute Triangles (Rotated Triangles) Calculate the Area and Perimeter of Right Triangles Calculate the Area and Perimeter of Right Triangles (Rotated Triangles) Calculate the Area and Perimeter of Obtuse Triangles Calculate the Area and Perimeter of Obtuse Triangles (Rotated Triangles) Calculate the Area and Perimeter of Acute and Right Triangles Calculate the Area and Perimeter of Acute and Right Triangles (Rotated Triangles) Calculate the Area and Perimeter of Various Triangles Calculate the Area and Perimeter of Various Triangles (Rotated Triangles)
• Area and Perimeter of Triangles Worksheets (Retro) (Retro) Triangles (1 decimal place; range 1-5) (Retro) Triangles (1 decimal place; range 1-9) (Retro) Triangles (1 decimal place; range 5-20) (Retro) Triangles (1 decimal place; range 10-99)
• Calculating Other Triangle Measurements (Angles, Heights, Bases) Calculate Angles of a Triangle Given Other Angle(s) Calculate the Perimeter and Height Measurements of Triangles Calculate the Area and Height Measurements of Right Triangles Calculate the Base and Height Measurements of Triangles Calculate Various Measurements of Triangles Calculate the Perimeter and Area from Side Measurements of Triangles (Heron's Formula)

Measuring Other Polygons

• Area and Perimeter of Parallelograms Worksheets Parallelograms (whole number base; range 1-9) Parallelograms (1 decimal place; range 1-5) Parallelograms (1 decimal place; range 1-9) Parallelograms (1 decimal place; range 5-20) Parallelograms (1 decimal place; range 10-99)
• Area and Perimeter of Trapezoids Worksheets Calculate the Area and Perimeter of Trapezoids (Smaller Numbers) Calculate the Area and Perimeter of Trapezoids (Larger Numbers) Calculate the Area and Perimeter of Trapezoids (Even Larger Numbers) Calculate the Area and Perimeter of Trapezoids (Larger Still Numbers) Calculate the Area and Perimeter of Isosceles Trapezoids Calculate the Area and Perimeter of Right Trapezoids Calculate the Area and Perimeter of Scalene Trapezoids
• Calculating Other Trapezoid Measurements Worksheets Calculate Bases and Areas of Trapezoids Calculate Bases and the Heights of Trapezoids Calculate Bases and Perimeters of Trapezoids Calculate Bases and Sides of Trapezoids Mixed Trapezoids Questions
• Area and Perimeter of Trapeziums Worksheets (U.K. Format: Name of Shape) Calculate the Area and Perimeter of Trapeziums (Smaller Numbers) Calculate the Area and Perimeter of Trapeziums (Larger Numbers) Calculate the Area and Perimeter of Trapeziums (Even Larger Numbers) Calculate the Area and Perimeter of Trapeziums (Larger Still Numbers) Calculate the Area and Perimeter of Isosceles Trapeziums Calculate the Area and Perimeter of Right Trapeziums Calculate the Area and Perimeter of Scalene Trapeziums
• Calculating Other Trapezium Measurements Worksheets (U.K. Format: Name of Shape) Calculate Bases and Areas of Trapeziums Calculate Bases and Heights of Trapeziums Calculate Bases and Perimeters of Trapeziums Calculate Bases and Sides of Trapeziums Mixed Trapeziums Questions

The shapes are mixed up on the worksheets in this section. These area and perimeter worksheets would be best suited to students who have mastered finding the areas of triangles, rectangles, parallelograms, and trapezoids. For students who need an extra challenge, give them the compound shapes worksheet, but make sure they know how to find the area and circumference of a circle first.

• Calculating The Area And Perimeter Of Various Shapes Various Shapes (1 decimal place; range 1-9) Various Shapes (1 decimal place; range 5-20) Various Shapes (1 decimal place; range 10-99) Area and Perimeter of Measured Compound Shapes

Measuring Circles

Radius, diameter, circumference and area are all related measurements; you only need one of them to find the remaining measurements. Diameter and radius are the simplest ones because the diameter of a circle is twice the radius and, conversely, the radius is half the diameter. To calculate between radius/diameter and circumference/area, you need to use π (pi). Depending on your accessibility to calculators or computers, you may use many digits of pi in the calculation or just a few. Often, people without calculators use an estimate of pi (3 or 3.14). Just for fun we made a worksheet with pi to 100,000 decimal places. The calculations on the worksheets below use a fairly precise version of pi; you may have to adjust the answers if you use more rounded versions of pi.

• Pi to 100K Decimal Places Reference Pi to 100K Decimal Places
• Circle Measurements Worksheets (Area, Circumference, Diameter, Radius) Calculate All Circle Measurements Calculate the Area & Circumference from Radius Calculate the Area & Circumference from Diameter Calculate the Area & Circumference Calculate the Radius & Diameter from Area Calculate the Radius & Diameter from Circumference Calculate the Radius & Diameter Calculate the Area & Circumference (old)
• Calculating Arc Lengths Calculating Arc Length from Circumference Calculating Arc Length from Radius Calculating Arc Length from Diameter Calculating Arc Length from Radius or Diameter Calculating Arc Length from Circumference, Radius or Diameter
• Calculating Arc Angles Calculating Arc Angle from Circumference Calculating Arc Angle from Radius Calculating Arc Angle from Diameter Calculating Arc Angle from Radius or Diameter Calculating Arc Angle from Circumference, Radius or Diameter
• Calculating Arc Lengths and Angles Calculating Arc Length or Angle from Circumference Calculating Arc Length or Angle from Radius Calculating Arc Length or Angle from Diameter Calculating Arc Length or Angle from Radius or Diameter Calculating Arc Length or Angle from Circumference, Radius or Diameter

Measuring Three-Dimensional Forms

• Volume and Surface Area of Rectangular Prisms Worksheets Rectangular Prisms Volume and Surface Area ( Whole Numbers ) Rectangular Prisms Volume and Surface Area ( Decimal Numbers )
• Volume and Surface Area of Triangular Prisms Worksheets Triangular Prisms Volume and Surface Area ( Black and White ) Triangular Prisms Volume and Surface Area ( Color )
• Volume and Surface Area of Cylinders Worksheets Cylinders Volume and Surface Area Cylinders Volume and Surface Area ( Small Measurements )
• Volume and Surface Area of Other Prisms Worksheets Parallelogram Prisms Volume and Surface Area Trapezoid Prisms Volume and Surface Area Composite-Base Prisms Volume and Surface Area Mixed Right Prisms Volume and Surface Area
• Volume and Surface Area of Spheres Worksheets Volume and Surface Area of Spheres (1 Decimal Place) Volume and Surface Area of Spheres (2 Decimal Places) Volume and Surface Area of Spheres (Large Numbers)
• Volume and Surface Area of Cones Worksheets Volume and Surface Area of Cones (Whole Numbers) Volume and Surface Area of Cones (1 Decimal Place) Volume and Surface Area of Cones (2 Decimal Places) Volume and Surface Area of Cones (Large Numbers)
• Volume and Surface Area of Conical Frustums Worksheets Volume and Surface Area of Conincal Frustums (Whole Numbers) Volume and Surface Area of Conincal Frustums (1 Decimal Place) Volume and Surface Area of Conincal Frustums (2 Decimal Places) Volume and Surface Area of Conincal Frustums (Large Numbers)

Copyright © 2005-2024 Math-Drills.com You may use the math worksheets on this website according to our Terms of Use to help students learn math.

Want to create or adapt books like this? Learn more about how Pressbooks supports open publishing practices.

Chapter 1: Algebra Review

1.6 Unit Conversion Word Problems

One application of rational expressions deals with converting units. Units of measure can be converted by multiplying several fractions together in a process known as dimensional analysis.

The trick is to decide what fractions to multiply. If an expression is multiplied by 1, its value does not change. The number 1 can be written as a fraction in many different ways, so long as the numerator and denominator are identical in value. Note that the numerator and denominator need not be identical in appearance, but rather only identical in value. Below are several fractions, each equal to 1, where the numerator and the denominator are identical in value. This is why, when doing dimensional analysis, it is very important to use units in the setup of the problem, so as to ensure that the conversion factor is set up correctly.

Example 1.6.1

 If 1 pound = 16 ounces, how many pounds are in 435 ounces?

[latex]\begin{array}{rrll} 435\text{ oz}&=&435\cancel{\text{oz}}\times \dfrac{1\text{ lb}}{16\cancel{ \text{oz}}} \hspace{0.2in}& \text{This operation cancels the oz and leaves the lbs} \\ \\ &=&\dfrac{435\text{ lb}}{16} \hspace{0.2in}& \text{Which reduces to } \\ \\ &=&27\dfrac{3}{16}\text{ lb} \hspace{0.2in}& \text{Solution} \end{array}[/latex]

The same process can be used to convert problems with several units in them. Consider the following example.

Example 1.6.2

A student averaged 45 miles per hour on a trip. What was the student’s speed in feet per second?

[latex]\begin{array}{rrll} 45 \text{ mi/h}&=&\dfrac{45\cancel{\text{mi}}}{\cancel{\text{hr}}}\times \dfrac{5280 \text{ ft}}{1\cancel{ \text{mi}}}\times \dfrac{1\cancel{\text{hr}}}{3600\text{ s}}\hspace{0.2in}&\text{This will cancel the miles and hours} \\ \\ &=&45\times \dfrac{5280}{1}\times \dfrac{1}{3600} \text{ ft/s}\hspace{0.2in}&\text{This reduces to} \\ \\ &=&66\text{ ft/s}\hspace{0.2in}&\text{Solution} \end{array}[/latex]

Example 1.6.3

Convert 8 ft 3 to yd 3 .

[latex]\begin{array}{rrll} 8\text{ ft}^3&=&8\text{ ft}^3 \times \dfrac{(1\text{ yd})^3}{(3\text{ ft})^3}&\text{Cube the parentheses} \\ \\ &=&8\text{ }\cancel{\text{ft}^3}\times \dfrac{1\text{ yd}^3}{27\text{ }\cancel{\text{ft}^3}}&\text{This will cancel the ft}^3\text{ and replace them with yd}^3 \\ \\ &=&8\times \dfrac{1\text{ yd}^3}{27}&\text{Which reduces to} \\ \\ &=&\dfrac{8}{27}\text{ yd}^3\text{ or }0.296\text{ yd}^3&\text{Solution} \end{array}[/latex]

Example 1.6.4

A room is 10 ft by 12 ft. How many square yards are in the room? The area of the room is 120 ft 2 (area = length × width).

Converting the area yields:

[latex]\begin{array}{rrll} 120\text{ ft}^2&=&120\text{ }\cancel{\text{ft}^2}\times \dfrac{(1\text{ yd})^2}{(3\text{ }\cancel{\text{ft}})^2}&\text{Cancel ft}^2\text{ and replace with yd}^2 \\ \\ &=&\dfrac{120\text{ yd}^2}{9}&\text{This reduces to} \\ \\ &=&13\dfrac{1}{3}\text{ yd}^2&\text{Solution} \\ \\ \end{array}[/latex]

The process of dimensional analysis can be used to convert other types of units as well. Once relationships that represent the same value have been identified, a conversion factor can be determined.

Example 1.6.5

A child is prescribed a dosage of 12 mg of a certain drug per day and is allowed to refill his prescription twice. If there are 60 tablets in a prescription, and each tablet has 4 mg, how many doses are in the 3 prescriptions (original + 2 refills)?

[latex]\begin{array}{rrll} 3\text{ prescriptions}&=&3\cancel{\text{pres.}}\times \dfrac{60\cancel{\text{tablets}}}{1\cancel{\text{pres.}}}\times \dfrac{4\cancel{\text{mg}}}{1\cancel{\text{tablet}}}\times \dfrac{1\text{ dosage}}{12\cancel{\text{mg}}}&\text{This cancels all unwanted units} \\ \\ &=&\dfrac{3\times 60\times 4\times 1}{1\times 1\times 12}\text{ or }\dfrac{720}{12}\text{ dosages}&\text{Which reduces to} \\ \\ &=&60\text{ daily dosages}&\text{Solution} \\ \\ \end{array}[/latex]

Metric and Imperial (U.S.) Conversions

[latex]\begin{array}{rrlrrl} 12\text{ in}&=&1\text{ ft}\hspace{1in}&10\text{ mm}&=&1\text{ cm} \\ 3\text{ ft}&=&1\text{ yd}&100\text{ cm}&=&1\text{ m} \\ 1760\text{ yds}&=&1\text{ mi}&1000\text{ m}&=&1\text{ km} \\ 5280\text{ ft}&=&1\text{ mi}&&& \end{array}[/latex]

Imperial to metric conversions:

[latex]\begin{array}{rrl} 1\text{ inch}&=&2.54\text{ cm} \\ 1\text{ ft}&=&0.3048\text{ m} \\ 1\text{ mile}&=&1.61\text{ km} \end{array}[/latex]

[latex]\begin{array}{rrlrrl} 144\text{ in}^2&=&1\text{ ft}^2\hspace{1in}&10,000\text{ cm}^2&=&1\text{ m}^2 \\ 43,560\text{ ft}^2&=&1\text{ acre}&10,000\text{ m}^2&=&1\text{ hectare} \\ 640\text{ acres}&=&1\text{ mi}^2&100\text{ hectares}&=&1\text{ km}^2 \end{array}[/latex]

[latex]\begin{array}{rrl} 1\text{ in}^2&=&6.45\text{ cm}^2 \\ 1\text{ ft}^2&=&0.092903\text{ m}^2 \\ 1\text{ mi}^2&=&2.59\text{ km}^2 \end{array}[/latex]

[latex]\begin{array}{rrlrrl} 57.75\text{ in}^3&=&1\text{ qt}\hspace{1in}&1\text{ cm}^3&=&1\text{ ml} \\ 4\text{ qt}&=&1\text{ gal}&1000\text{ ml}&=&1\text{ litre} \\ 42\text{ gal (petroleum)}&=&1\text{ barrel}&1000\text{ litres}&=&1\text{ m}^3 \end{array}[/latex]

[latex]\begin{array}{rrl} 16.39\text{ cm}^3&=&1\text{ in}^3 \\ 1\text{ ft}^3&=&0.0283168\text{ m}^3 \\ 3.79\text{ litres}&=&1\text{ gal} \end{array}[/latex]

[latex]\begin{array}{rrlrrl} 437.5\text{ grains}&=&1\text{ oz}\hspace{1in}&1000\text{ mg}&=&1\text{ g} \\ 16\text{ oz}&=&1\text{ lb}&1000\text{ g}&=&1\text{ kg} \\ 2000\text{ lb}&=&1\text{ short ton}&1000\text{ kg}&=&1\text{ metric ton} \end{array}[/latex]

[latex]\begin{array}{rrl} 453\text{ g}&=&1\text{ lb} \\ 2.2\text{ lb}&=&1\text{ kg} \end{array}[/latex]

Temperature

Fahrenheit to Celsius conversions:

[latex]\begin{array}{rrl} ^{\circ}\text{C} &= &\dfrac{5}{9} (^{\circ}\text{F} - 32) \\ \\ ^{\circ}\text{F}& =& \dfrac{9}{5}(^{\circ}\text{C} + 32) \end{array}[/latex]

For questions 1 to 18, use dimensional analysis to perform the indicated conversions.

• 7 miles to yards
• 234 oz to tons
• 11.2 mg to grams
• 1.35 km to centimetres
• 9,800,000 mm to miles
• 4.5 ft 2 to square yards
• 435,000 m 2 to square kilometres
• 8 km 2 to square feet
• 0.0065 km 3 to cubic metres
• 14.62 in. 2 to square centimetres
• 5500 cm 3 to cubic yards
• 3.5 mph (miles per hour) to feet per second
• 185 yd per min. to miles per hour
• 153 ft/s (feet per second) to miles per hour
• 248 mph to metres per second
• 186,000 mph to kilometres per year
• 7.50 tons/yd 2 to pounds per square inch
• 16 ft/s 2 to kilometres per hour squared

For questions 19 to 27, solve each conversion word problem.

• On a recent trip, Jan travelled 260 miles using 8 gallons of gas. What was the car’s miles per gallon for this trip? Kilometres per litre?
• A certain laser printer can print 12 pages per minute. Determine this printer’s output in pages per day.
• An average human heart beats 60 times per minute. If the average person lives to the age of 86, how many times does the average heart beat in a lifetime?
• Blood sugar levels are measured in milligrams of glucose per decilitre of blood volume. If a person’s blood sugar level measured 128 mg/dL, what is this in grams per litre?
• You are buying carpet to cover a room that measures 38 ft by 40 ft. The carpet cost $18 per square yard. How much will the carpet cost?
• A cargo container is 50 ft long, 10 ft wide, and 8 ft tall. Find its volume in cubic yards and cubic metres.
• A local zoning ordinance says that a house’s “footprint” (area of its ground floor) cannot occupy more than ¼ of the lot it is built on. Suppose you own a [latex]\frac{1}{3}[/latex]-acre lot (1 acre = 43,560 ft 2 ). What is the maximum allowed footprint for your house in square feet? In square metres?
• A car travels 23 km in 15 minutes. How fast is it going in kilometres per hour? In metres per second?
• The largest single rough diamond ever found, the Cullinan Diamond, weighed 3106 carats. One carat is equivalent to the mass of 0.20 grams. What is the mass of this diamond in milligrams? Weight in pounds?

Answer Key 1.6

Intermediate Algebra Copyright © 2020 by Terrance Berg is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License , except where otherwise noted.

Share This Book

Measurement Conversions Worksheets - Metric Conversion - Converting Metric Units

What educators are saying

Also included in.

Description

Students will practice metric conversions with this easy to use set of worksheets. These measurement conversion activities include practice for converting metric units of length, capacity and mass/weight. Great for extra practice, homework, small groups or interventions.

Click on the PREVIEW button to see what is included!

Metric units included in this practice packet include:

• kilometers, meters, centimeters and millimeters
• liters and milliliters
• kilograms, grams and milligrams

This easy to use packet includes:

• 5 metric conversions worksheets
• 1 test prep multiple-choice sheet
• 1 fun activity practice sheet (color by number)
• Answer keys

The converting measurements skill formats your students will practice in this packet include:

• converting metric units of length, capacity and mass/weight
• comparing metric measurements
• completing metric measurement conversion tables
• ordering metric measurements from least to greatest
• metric conversion word problems
• test-prep - multiple choice questions

These activities can be used as whole group practice, homework, independent practice, review or center activities. Great as practice and reinforcement of 5.MD.1

You may also like my:

Measurement Conversions Task Cards - Metric

Measurement Conversions Task Cards - Customary

Measurement Conversion Worksheets - Customary

Follow me and be notified when new products are added to my store. New products are always 50% off for the first 24 hours they are posted!

Questions & Answers

Hello learning.

• We're hiring
• Help & FAQ
• Privacy policy
• Student privacy
• Terms of service
• Tell us what you think