# Multi-step Problems

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

##### Level 1Level 2DescriptionMore Arithmetic

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

 I have 8 crayons which are each 17cm long. I also have a ruler which is 31cm long. How far would they reach be if I arranged them on the floor in a long line? Working: cm The angles inside an irregular hexagon add up to 720°. If three of the angles are 120° and two of them are 135° what is the size of the other angle? Working: ° Frank has two boxes of screws. The first box contains 58 screws and the second box contains 98 screws. If he needs four screws for every model he makes, how many models can he make with the screws he has? Working: Using the most efficient method you can think of multiply together the numbers from 2 to 9 then divide the product by seven? Working: Farmer Brown has two fields of sheep. The first field contains 25 sheep and the second field contains 11 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? Working: A 50p coin weighs 8 grams. What is the value in pounds of two kilograms of 50p coins? Working: £ 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? Working: £ Six people share the cost of a meal in a restaurant. The total cost of the starters was £28, The total cost of the main courses was £39 and the total cost of the deserts was £71. How much does each person pay? Working: £ Ayden makes Christmas crackers. Each cracker contains a toy, 2 sweets and a party hat. If each toy costs 56p, each sweet costs 8p and each hat costs 25p, how much change will he have from £50 if he makes 16 crackers? Working: £ 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 nab hours will each guard have to work so that between them the whole week is covered? Working: hours
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This is Multi-step Problems level 2. You can also try:
Level 1

## 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.

## Transum.org

This web site contains over a thousand free mathematical activities for teachers and pupils. Click here to go to the main page which links to all of the resources available.

Please contact me if you have any suggestions or questions.

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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 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

Comment recorded on the 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:

"What a brilliant website. We have just started to use the 'starter-of-the-day' in our yr9 lessons to try them out before we change from a high school to a secondary school in September. This is one of the best resources on-line we have found. The kids and staff love it. Well done an thank you very much for making my maths lessons more interesting and fun."

#### One Torch Tunnel

Solve the problem of getting four people through a tunnel with one torch in the minimum amount of time. The solution is not obvious but when you get it you see the elegance and beauty of its cunning.

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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:

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

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