# Multi-step Problems

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

##### Menu  Level 1Level 2Level 3More Arithmetic

This is level 1; Addition and subtraction multi-step problems. You can earn a trophy if you get at least 7 questions correct.

 1. This morning I had 90p. I spent 17p on a pencil and 31p on a notepad. How much do I now have left? Working: p 2. A train starts from Ayton with 90 passengers. At Beytown 21 more passengers board the train and 34 get off. How many passengers are now on the train? Working: 3. Today Sally started reading a book which has 659 pages. She read 179 pages this morning and read 235 pages this afternoon. How many pages are left to read? Working: 4. A bus is travelling from the north of Rombodia to the south. This is a journey that will take three days and cover a distance of 840 miles. On the first day 189 miles are covered. On the second day 309 miles are covered. How many miles are left to travel during the last day? Working: 5. The temperature in the incubator started at 10° but soon rose by 10°. By the end of the day though it had cooled down 7°. What was the temperature at the end of the day? Working: ° 6. Add all of the numbers from 2 to 18 inclusive then subtract 20? Working: 7. Two months ago Bob's car travelled 481 miles. Last month it travelled 486 miles. How many miles does he need to travel in it this month to make a total of 1000 miles? Working: miles 8. The Green Team have been planting trees. How many did they plant in total last week? Their records show: Monday:39, Tuesday:33, Wednesday:47, Thursday:33 and Friday:39 trees were planted. Working: trees 9. Three 3-digit numbers add up to 999. The first number is 311 and the second is 220. Find the third number. Working: 10. The lottery prize was £1000. Ruby decided to share it with family members as follows: Mum:£180, Dad:£170, Gran:£180, Billy:£110 and Bobby:£110. How much was left for Ruby? Working: pounds
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This is Multi-step Problems level 1. You can also try:
Level 2 Level 3

## 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.

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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 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:

"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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#### Great Expectation

An interactive online activity requiring logical thinking and a certain amount of luck. Numbers 1 to 6 are presented randomly and are to be used to produce two 2-digit numbers. Can you ensure that the first number is greater than the second?

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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

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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.

## Curriculum Reference

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