# Mixed Numbers

## A self marking quiz requiring application of the four operations applied to mixed numbers

##### MenuConvertLevel 1Level 2Level 3Level 4Level 5Level 6ExamHelpMore

This is level 1: addition of mixed numbers. Give your answer as a mixed number with the fraction part in its lowest terms.

Type the whole number, then a space, then the numerator, forward slash, denominator.

 1 $$2\dfrac{2}{7}+3\dfrac{3}{7}$$ ☐= ☐ ✓ ✗ 2 $$2\dfrac{1}{4}+2\dfrac{1}{2}$$ ☐= ☐ ✓ ✗ 3 $$4\dfrac{4}{5}+6\dfrac{3}{5}$$ ☐= ☐ ✓ ✗ 4 $$7\dfrac{2}{7}+7\dfrac{2}{7}$$ ☐= ☐ ✓ ✗ 5 $$1\dfrac{3}{8}+4\dfrac{1}{2}$$ ☐= ☐ ✓ ✗ 6 $$8\dfrac{7}{11}+4\dfrac{1}{7}$$ ☐= ☐ ✓ ✗ 7 $$9\dfrac{5}{8}+6\dfrac{7}{12}$$ ☐= ☐ ✓ ✗ 8 $$8\dfrac{9}{15}+5\dfrac{7}{10}$$ ☐= ☐ ✓ ✗ 9 $$6\dfrac{3}{18}+9\dfrac{11}{12}$$ ☐= ☐ ✓ ✗
Check

This is Mixed Numbers level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=340

## Description of Levels

Close

Convert - Practise converting to and from improper fractions before begining these exercises.

Level 1 - Addition of mixed numbers.

Level 2 - Subtraction of mixed numbers.

Level 3 - Multiplication of mixed numbers.

Level 4 - Division of mixed numbers.

Level 5 - Four rules with fractions and whole numbers.

Level 6 - A variety mixed number questions with words and diagrams!

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

You may also want to use a calculator to check your working. See Calculator Workout skill 10.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

### Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

Close
The content structure of the provided text is a set of practice questions for a quiz on the addition of mixed numbers. The questions are presented in a format that includes a mathematical problem and a space for the user to input their answer, followed by a check button to verify the correctness of the answer.
multiple_questions

the text contains multiple mathematical questions (specifically, nine questions) but does not provide answers to these questions. the questions are designed to be answered by the user, and there is a mechanism (the check button) to verify the correctness of the answers.
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Mixed Numbers

## A self marking quiz requiring application of the four operations applied to mixed numbers

##### MenuConvertLevel 1Level 2Level 3Level 4Level 5Level 6ExamHelpMore

This is level 1: addition of mixed numbers. Give your answer as a mixed number with the fraction part in its lowest terms.

Type the whole number, then a space, then the numerator, forward slash, denominator.

 1 $$2\dfrac{2}{7}+3\dfrac{3}{7}$$ ☐= ☐ ✓ ✗ 2 $$2\dfrac{1}{4}+2\dfrac{1}{2}$$ ☐= ☐ ✓ ✗ 3 $$4\dfrac{4}{5}+6\dfrac{3}{5}$$ ☐= ☐ ✓ ✗ 4 $$7\dfrac{2}{7}+7\dfrac{2}{7}$$ ☐= ☐ ✓ ✗ 5 $$1\dfrac{3}{8}+4\dfrac{1}{2}$$ ☐= ☐ ✓ ✗ 6 $$8\dfrac{7}{11}+4\dfrac{1}{7}$$ ☐= ☐ ✓ ✗ 7 $$9\dfrac{5}{8}+6\dfrac{7}{12}$$ ☐= ☐ ✓ ✗ 8 $$8\dfrac{9}{15}+5\dfrac{7}{10}$$ ☐= ☐ ✓ ✗ 9 $$6\dfrac{3}{18}+9\dfrac{11}{12}$$ ☐= ☐ ✓ ✗
Check

This is Mixed Numbers level 1. You can also try:
Level 2 Level 3 Level 4 Level 5 Level 6

## Instructions

Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. As you work through the exercise regularly click the "check" button. If you have any wrong answers, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

## More Activities:

Mathematicians are not the people who find Maths easy; they are the people who enjoy how mystifying, puzzling and hard it is. Are you a mathematician?

Comment recorded on the 28 September 'Starter of the Day' page by Malcolm P, Dorset:

"A set of real life savers!!
Keep it up and thank you!"

Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Each month a newsletter is published containing details of the new additions to the Transum website and a new puzzle of the month.

The newsletter is then duplicated as a podcast which is available on the major delivery networks. You can listen to the podcast while you are commuting, exercising or relaxing.

Transum breaking news is available on Twitter @Transum and if that's not enough there is also a Transum Facebook page.

#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

There are answers to this exercise but they are available in this space to teachers, tutors and parents who have logged in to their Transum subscription on this computer.

A Transum subscription unlocks the answers to the online exercises, quizzes and puzzles. It also provides the teacher with access to quality external links on each of the Transum Topic pages and the facility to add to the collection themselves.

Subscribers can manage class lists, lesson plans and assessment data in the Class Admin application and have access to reports of the Transum Trophies earned by class members.

Subscribe

## Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. The Go Maths page is an alphabetical list of free activities designed for students in Secondary/High school.

## Maths Map

Are you looking for something specific? An exercise to supplement the topic you are studying at school at the moment perhaps. Navigate using our Maths Map to find exercises, puzzles and Maths lesson starters grouped by topic.

## Teachers

If you found this activity useful don't forget to record it in your scheme of work or learning management system. The short URL, ready to be copied and pasted, is as follows:

Alternatively, if you use Google Classroom, all you have to do is click on the green icon below in order to add this activity to one of your classes.

It may be worth remembering that if Transum.org should go offline for whatever reason, there is a mirror site at Transum.info that contains most of the resources that are available here on Transum.org.

When planning to use technology in your lesson always have a plan B!

Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.

For Students:

For All:

Scan the QR code below to visit the online version of this activity.

https://www.Transum.org/go/?Num=340

## Description of Levels

Close

Convert - Practise converting to and from improper fractions before begining these exercises.

Level 1 - Addition of mixed numbers.

Level 2 - Subtraction of mixed numbers.

Level 3 - Multiplication of mixed numbers.

Level 4 - Division of mixed numbers.

Level 5 - Four rules with fractions and whole numbers.

Level 6 - A variety mixed number questions with words and diagrams!

Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

## Example

You may also want to use a calculator to check your working. See Calculator Workout skill 10.

Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

### Typing Mathematical Notation

These exercises use MathQuill, a web formula editor designed to make typing Maths easy and beautiful. Watch the animation below to see how common mathematical notation can be created using your keyboard.

Close
user
The content structure of the provided text is a set of practice questions for a quiz on the addition of mixed numbers. The questions are presented in a format that includes a mathematical problem and a space for the user to input their answer, followed by a check button to verify the correctness of the answer.

TYPE: MULTIPLE_QUESTIONS

The text contains multiple mathematical questions (specifically, nine questions) but does not provide answers to these questions. The questions are designed to be answered by the user, and there is a mechanism (the check button) to verify the correctness of the answers.