Transum Software

Multi-step Problems

Solve multi-step problems in contexts, deciding which operations and methods to use and why.

  Menu   Level 1 Level 2 Level 3 More Arithmetic

This is level 2; Multiplication and division multi-step problems. You can earn a trophy if you get at least 7 questions correct.

1. I have 8 crayons which are each 17cm long. I also have a ruler which is 31cm long. How far would they reach if I arranged them on the floor in a long line?


cm Correct Wrong
2. The angles inside an irregular hexagon add up to 720°. If three of the angles are 115° and two of them are 120° what is the size of the other angle?


° Correct Wrong
3. Frank has two boxes of screws. The first box contains 65 screws and the second box contains 135 screws. If he needs four screws for every model he makes, how many models can he make with the screws he has?


Correct Wrong
4. Using the most efficient method you can think of multiply together the numbers from 5 to 10 then divide the product by seven?


Correct Wrong
5. Farmer Brown has two fields of sheep. The first field contains 31 sheep and the second field contains 14 sheep. He can only transport the sheep to the shearing station nine at a time. What is the minimum number of journeys he needs to make?


Correct Wrong
6. A 50p coin weighs 8 grams. What is the value in pounds of two kilograms of 50p coins?


£ Correct Wrong
7. If four soldiers can stand on one square metre. How many soldiers could stand on a ractanguler parade ground measuting 50 metres long and 20 metres wide?


Correct Wrong
8. Six people share the cost of a meal in a restaurant. The total cost of the starters was £31, The total cost of the main courses was £34 and the total cost of the deserts was £49. How much does each person pay?


£ Correct Wrong
9. Ayden makes Christmas crackers. Each cracker contains a toy, 4 sweets and a party hat. If each toy costs 83p, each sweet costs 8p and each hat costs 25p, how much change will he have from £50 if he makes 10 crackers?


£ Correct Wrong
10. Six security guards are deciding on the times they should be on duty so that one of them is guarding the bank at every moment of every day of the week. They multiply the number of days in a week by the number hours in a day then divide the result by six. How many hours will each guard have to work so that between them the whole week is covered?


hours Correct Wrong

This is Multi-step Problems level 2. You can also try:
Level 1 Level 3


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.

Why am I learning this?

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 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

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!"

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.

Featured Activity

Code Cracker

Code Cracker

Learn the basic techniques for cracking codes then practise them using this interactive challenge. There are three levels of difficulty and many different messages to decipher.


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.

If you would like to enjoy ad-free access to the thousands of Transum resources, receive our monthly newsletter, unlock the printable worksheets and see our Maths Lesson Finishers then sign up for a subscription now:


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.


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 should go offline for whatever reason, there is a mirror site at that contains most of the resources that are available here on

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.


©1997-2024 WWW.TRANSUM.ORG

Description of Levels



Level 1 - Addition and subtraction multi-step problems

Level 2 - Multiplication and division multi-step problems

Level 3 - Mixed multi-step problems

More Arithmetic 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.

Log in Sign up

Curriculum Reference

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