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Mixed Numbers

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

Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description Help More Fractions

This is level 5. Give your answer as a mixed number with the fraction part in its lowest terms.

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?
Correct Wrong

2. Calculate the unknown length in this diagram. All lengths are in centimetres and the diagram is not to scale.
Diagram 1
Correct Wrong

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?
Correct Wrong

4. Calculate the area of this rectangle in square inches. All lengths are in inches and the diagram is not to scale.
Diagram 2
Correct Wrong

5. Evaluate \(3\frac{2}{3}+2\frac{1}{8}-1\frac{1}{6}\)

Correct Wrong

6. Evaluate \(4\frac{2}{3}+5\frac{1}{7}\times 1\frac{1}{9}\)

Correct Wrong

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?
Correct Wrong

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?
Correct Wrong

9. What is the average (mean) of these three mixed numbers?
\(3\frac{1}{2}, 4\frac{7}{10}, 1\frac{2}{5}\)
Correct Wrong

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?
Correct Wrong


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

Or try one of the other fraction activities:
Fraction Activities


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.

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Featured Activity

Nine Digits

Nine Digits

Arrange the given digits one to nine to make three numbers such that two of them add up to the third. This is a great puzzle for practicing standard pen and paper methods of three digit number addition and subtraction.


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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.

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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.


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Description of Levels



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 - A variety mixed number questions with words and diagrams!

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

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.

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This video from Corbettmaths explains how to convert a mixed number into an improper fraction. For further help with fractions see the resources on the Fractions page.

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.

Log in Sign up