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 3; Mixed multi-step problems. You can earn a trophy if you get at least 7 questions correct.

1. A train starts from Honeyville with 166 passengers. At Trumpton, 34 more passengers board the train and 20 get off. At Low Hill, 58 more passengers board the train and 31 get off. How many passengers are now on the train?
Train

Working:

Correct Wrong
2. A book has 1500 pages. On the first day, Jimmy read 218 pages. On the second day, he read 163 pages. On the third day, he read 162 pages. How many pages are left to read?
Books

Working:

Correct Wrong
3. Sally bought 8 notebooks for £3.50 each and 5 pens for £2.50 each. How much money did she spend in total?

Working:

£ Correct Wrong
4. Manjit bought 6 packs of stickers, with each pack containing 30 stickers. She gave 33 stickers to her friend. How many stickers does Manjit have now?

Working:

Correct Wrong
5. A car traveled a distance of 360 km in 4 hours. If the car traveled at a constant speed, how far can it travel in 7 hours?

Working:

km Correct Wrong
6. There are 80 children in a playground. If one fifth of them are playing soccer and the rest are playing basketball, how many children are playing basketball?

Working:

Correct Wrong
7. Tom has £92.61. He spends £18 on a game and then gives £5 to each of his 8 friends. How much money does Tom have now?

Working:

£ Correct Wrong
8. Michelle has 89 small chocolate bars. She wants to divide them equally among her 9 friends and keep 8 bars for herself. How many bars does each friend receive?

Working:

Correct Wrong
9. A box contains 100 marbles. If one fifth of the marbles are blue, three tenths are red, and the rest are green, how many marbles are green?

Working:

Correct Wrong
10. A rectangular lawn has a length of 20 metres and a width of 15 metres. If a path of one metre wide is built around the lawn, what is the total area of the path?

Working:

Correct Wrong
Check

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

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.

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 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

"This resource has made a great deal of difference to the standard of starters for all of our lessons. Thank you for being so creative and imaginative."

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."

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Answers

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.

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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:

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.

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Description of Levels

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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.

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Curriculum Reference

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