# Mixed Numbers

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

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This is level 6: a variety mixed number questions with words and diagrams! 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 The distance from the flag pole to the park gate is $$1\frac{1}{4}$$km. The distance from the park gate to the lake is $$1\frac{1}{3}$$km. Huey walks from the flagpole to the park gate then continues on the the lake. How many kilometers does he walk altogether? ☐= ☐ ✓ ✗ 2 Calculate the unknown length in this diagram. All lengths are in centimetres and the diagram is not to scale. ☐= ☐ ✓ ✗ 3 How many glasses with a capacity of $$1\frac{1}{8}$$ litres can be filled from a barrel with capacity $$11\frac{13}{16}$$ litres? ☐= ☐ ✓ ✗ 4 Calculate the area of this rectangle in square inches. All lengths are in inches and the diagram is not to scale. ☐= ☐ ✓ ✗ 5 Evaluate $$3\frac{2}{3}+2\frac{1}{8}-1\frac{1}{6}$$ ☐= ☐ ✓ ✗ 6 Evaluate $$4\frac{2}{3}+5\frac{1}{7}\times 1\frac{1}{9}$$ ☐= ☐ ✓ ✗ 7 Rosalie thinks of a mixed number. She multiplies her number by 3 and then subtracts three and a three quarters from the product. She ends up with $$4\frac{7}{8}$$. What was her original number? ☐= ☐ ✓ ✗ 8 Roger thinks of a mixed number. He adds one and a half to his number then doubles the result. He ends up with $$5\frac{5}{7}$$. What was his original number? ☐= ☐ ✓ ✗ 9 What is the average (mean) of these three mixed numbers?$$3\frac{1}{2}, 4\frac{7}{10}, 1\frac{2}{5}$$ ☐= ☐ ✓ ✗ 10 Dr Percy Cod has a plot of land measuring $$21\frac{7}{8}$$ acres. He would like to share it between his two daughters in the ratio 2:3. How many acres would the smaller share be? ☐= ☐ ✓ ✗
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This is Mixed Numbers level 6. You can also try:
Level 1 Level 2 Level 3 Level 4 Level 5

## 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 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:

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"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

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#### Equatero

Find the mathematical expression from a series of guesses and clues. This is the numerical version of the extremely popular internet sensation Wordle and UK TV quiz show called Lingo.

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## 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:

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## Description of Levels

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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.

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